task,image,prompt,groundtruth,metadata
Image Description,hex_pathfinding_0001.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0001.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0001.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0001.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0001.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0002.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0002.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0002.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0002.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0002.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0003.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0003.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0003.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0003.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (17),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0003.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0004.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0004.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0004.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0004.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0004.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0005.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0005.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0005.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0005.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0005.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0006.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0006.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0006.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0006.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0006.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0007.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0007.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0007.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0007.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0007.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0008.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0008.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0008.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0008.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0008.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0009.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0009.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0009.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0009.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0009.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0010.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0010.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0010.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0010.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0010.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0011.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0011.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0011.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0011.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0011.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0012.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0012.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0012.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0012.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0012.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0013.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0013.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0013.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0013.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0013.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0014.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0014.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0014.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0014.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0014.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0015.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0015.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0015.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0015.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0015.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0016.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0016.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0016.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0016.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0016.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0017.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0017.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0017.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0017.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0017.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0018.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0018.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0018.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0018.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0018.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0019.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0019.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0019.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0019.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0019.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0020.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0020.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0020.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0020.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0020.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0021.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0021.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0021.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0021.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0021.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0022.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0022.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0022.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0022.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0022.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0023.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0023.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0023.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0023.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0023.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0024.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0024.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0024.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0024.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0024.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0025.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0025.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0025.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0025.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0025.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0026.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0026.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0026.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0026.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0026.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0027.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0027.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0027.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0027.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0027.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0028.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0028.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0028.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0028.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0028.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0029.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0029.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0029.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0029.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0029.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0030.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0030.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0030.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0030.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0030.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0031.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0031.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0031.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0031.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0031.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0032.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0032.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0032.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0032.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0032.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0033.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0033.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0033.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0033.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0033.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0034.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0034.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0034.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0034.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0034.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0035.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0035.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0035.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0035.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0035.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0036.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0036.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0036.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0036.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0036.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0037.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0037.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0037.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0037.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0037.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0038.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0038.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0038.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0038.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0038.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0039.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0039.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0039.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0039.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0039.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0040.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0040.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0040.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0040.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0040.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0041.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0041.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0041.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0041.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0041.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0042.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0042.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0042.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0042.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0042.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0043.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0043.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0043.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0043.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0043.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0044.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0044.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0044.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0044.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0044.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0045.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0045.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0045.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0045.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0045.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0046.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0046.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0046.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0046.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0046.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0047.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0047.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0047.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0047.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0047.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0048.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0048.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0048.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0048.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0048.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0049.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0049.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0049.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0049.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0049.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0050.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0050.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0050.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0050.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0050.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0051.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0051.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0051.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0051.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0051.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0052.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0052.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0052.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0052.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0052.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0053.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0053.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0053.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0053.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0053.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0054.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0054.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0054.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0054.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0054.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0055.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0055.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0055.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0055.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0055.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0056.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0056.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0056.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0056.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0056.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0057.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0057.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0057.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0057.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0057.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0058.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0058.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0058.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0058.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0058.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0059.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0059.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0059.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0059.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0059.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0060.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0060.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0060.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0060.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0060.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0061.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0061.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0061.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0061.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0061.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0062.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0062.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0062.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0062.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0062.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0063.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0063.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0063.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0063.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0063.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0064.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0064.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0064.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0064.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0064.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0065.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0065.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0065.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0065.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0065.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0066.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0066.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0066.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0066.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0066.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0067.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0067.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0067.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0067.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0067.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0068.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0068.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0068.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0068.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0068.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0069.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0069.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0069.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0069.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0069.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0070.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0070.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0070.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0070.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0070.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0071.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0071.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0071.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0071.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0071.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0072.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0072.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0072.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0072.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0072.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0073.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0073.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0073.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0073.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0073.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0074.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0074.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0074.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0074.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0074.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0075.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0075.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0075.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0075.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0075.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0076.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0076.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0076.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0076.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0076.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0077.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0077.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0077.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0077.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0077.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0078.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0078.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0078.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0078.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0078.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0079.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0079.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0079.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0079.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0079.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0080.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0080.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0080.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0080.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (19),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0080.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0081.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0081.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0081.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0081.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (30),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0081.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0082.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0082.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0082.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0082.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0082.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0083.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0083.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0083.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0083.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (17),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0083.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0084.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0084.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0084.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0084.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0084.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0085.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0085.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0085.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0085.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0085.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0086.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0086.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0086.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0086.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0086.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0087.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0087.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0087.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0087.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0087.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0088.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0088.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0088.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0088.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0088.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0089.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0089.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0089.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0089.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0089.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0090.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0090.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0090.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0090.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0090.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0091.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0091.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0091.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0091.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0091.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0092.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0092.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0092.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0092.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0092.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0093.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0093.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0093.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0093.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0093.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0094.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0094.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0094.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0094.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0094.png,"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.",stay the same (8 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0095.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0095.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0095.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0095.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0095.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0096.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0096.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0096.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0096.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0096.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0097.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0097.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0097.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0097.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0097.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0098.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0098.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0098.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0098.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0098.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0099.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0099.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0099.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0099.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0099.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0100.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0100.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0100.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0100.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0100.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0101.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0101.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0101.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0101.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0101.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0102.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0102.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0102.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0102.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0102.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0103.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0103.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0103.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0103.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0103.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0104.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0104.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0104.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0104.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0104.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0105.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0105.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0105.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0105.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0105.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0106.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0106.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0106.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0106.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0106.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0107.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0107.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0107.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0107.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0107.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0108.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0108.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0108.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0108.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0108.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0109.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0109.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0109.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0109.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0109.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0110.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0110.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0110.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0110.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0110.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0111.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0111.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0111.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0111.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0111.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0112.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0112.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0112.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0112.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0112.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0113.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0113.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0113.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0113.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0113.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0114.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0114.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0114.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0114.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0114.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0115.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0115.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0115.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0115.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0115.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0116.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0116.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0116.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0116.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0116.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0117.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0117.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0117.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0117.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0117.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0118.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0118.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0118.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0118.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0118.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0119.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0119.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0119.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0119.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0119.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0120.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0120.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0120.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0120.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0120.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0121.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0121.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0121.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0121.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0121.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0122.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0122.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0122.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0122.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0122.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0123.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0123.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0123.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0123.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0123.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0124.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0124.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0124.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0124.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0124.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0125.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0125.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0125.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0125.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0125.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0126.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0126.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0126.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0126.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (47),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0126.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0127.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0127.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0127.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0127.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0127.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0128.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0128.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0128.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0128.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0128.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0129.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0129.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0129.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0129.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0129.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0130.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0130.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0130.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0130.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0130.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0131.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0131.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0131.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0131.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0131.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0132.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0132.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0132.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0132.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0132.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0133.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0133.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0133.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0133.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0133.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0134.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0134.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0134.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0134.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0134.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0135.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0135.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0135.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0135.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0135.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0136.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0136.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0136.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0136.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0136.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0137.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0137.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0137.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0137.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0137.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0138.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0138.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0138.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0138.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0138.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0139.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0139.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0139.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0139.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0139.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0140.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0140.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0140.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0140.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0140.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_0141.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0141.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0141.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0141.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0141.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0142.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0142.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0142.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0142.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0142.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0143.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0143.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0143.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0143.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0143.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0144.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0144.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0144.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0144.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0144.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0145.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0145.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0145.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0145.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0145.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0146.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0146.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0146.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0146.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0146.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0147.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0147.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0147.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0147.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0147.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0148.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0148.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0148.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0148.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0148.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0149.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0149.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0149.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0149.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0149.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0150.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0150.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0150.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0150.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (56),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0150.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0151.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0151.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0151.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0151.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0151.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0152.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0152.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0152.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0152.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0152.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0153.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0153.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0153.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0153.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0153.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0154.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0154.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0154.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0154.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0154.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0155.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0155.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0155.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0155.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0155.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_0156.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0156.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0156.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0156.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0156.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0157.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0157.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0157.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0157.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0157.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0158.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0158.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0158.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0158.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0158.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0159.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0159.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0159.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0159.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (40),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0159.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0160.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0160.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0160.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0160.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0160.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0161.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0161.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0161.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0161.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0161.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0162.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0162.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0162.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0162.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0162.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0163.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0163.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0163.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0163.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0163.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0164.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0164.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0164.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0164.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0164.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0165.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0165.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0165.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0165.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0165.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0166.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0166.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0166.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0166.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0166.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0167.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0167.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0167.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0167.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0167.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0168.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0168.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0168.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0168.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0168.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0169.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0169.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0169.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0169.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0169.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0170.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0170.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0170.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0170.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0170.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0171.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0171.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0171.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0171.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0171.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0172.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0172.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0172.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0172.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0172.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0173.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0173.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0173.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0173.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0173.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0174.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0174.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0174.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0174.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0174.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0175.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0175.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0175.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0175.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0175.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0176.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0176.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0176.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0176.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0176.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0177.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0177.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0177.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0177.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0177.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0178.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0178.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0178.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0178.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0178.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0179.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0179.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0179.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0179.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0179.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0180.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0180.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0180.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0180.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0180.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0181.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0181.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0181.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0181.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0181.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0182.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0182.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0182.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0182.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0182.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0183.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0183.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0183.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0183.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0183.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0184.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0184.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0184.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0184.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0184.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0185.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0185.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0185.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0185.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0185.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0186.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0186.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0186.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0186.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0186.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0187.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0187.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0187.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0187.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0187.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0188.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0188.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0188.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0188.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0188.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0189.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0189.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0189.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0189.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0189.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0190.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0190.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0190.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0190.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0190.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0191.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0191.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0191.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0191.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0191.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0192.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0192.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0192.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0192.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0192.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0193.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0193.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0193.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0193.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0193.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0194.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0194.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0194.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0194.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0194.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0195.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0195.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0195.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0195.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (19),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0195.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0196.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0196.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0196.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0196.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0196.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0197.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0197.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0197.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0197.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0197.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0198.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0198.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0198.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0198.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0198.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0199.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0199.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0199.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0199.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0199.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0200.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0200.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0200.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0200.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0200.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0201.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0201.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0201.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0201.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0201.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0202.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0202.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0202.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0202.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0202.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0203.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0203.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0203.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0203.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0203.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0204.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0204.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0204.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0204.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0204.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0205.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0205.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0205.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0205.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0205.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0206.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0206.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0206.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0206.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0206.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0207.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0207.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0207.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0207.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0207.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0208.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0208.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0208.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0208.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0208.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0209.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0209.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0209.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0209.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0209.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0210.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0210.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0210.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0210.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0210.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0211.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0211.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0211.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0211.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0211.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0212.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0212.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0212.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0212.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0212.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0213.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0213.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0213.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0213.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0213.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0214.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0214.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0214.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0214.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0214.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0215.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0215.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0215.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0215.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0215.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0216.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0216.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0216.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0216.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0216.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0217.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0217.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0217.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0217.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0217.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0218.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0218.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0218.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0218.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0218.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0219.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0219.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0219.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0219.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0219.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0220.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0220.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0220.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0220.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0220.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0221.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0221.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0221.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0221.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0221.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0222.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0222.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0222.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0222.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (55),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0222.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0223.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0223.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0223.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0223.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0223.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0224.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0224.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0224.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0224.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0224.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0225.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0225.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0225.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0225.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (29),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0225.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0226.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0226.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0226.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0226.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0226.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0227.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0227.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0227.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0227.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0227.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0228.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0228.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0228.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0228.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0228.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0229.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0229.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0229.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0229.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0229.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0230.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0230.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0230.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0230.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0230.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0231.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0231.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0231.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0231.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0231.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0232.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0232.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0232.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0232.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0232.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0233.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0233.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0233.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0233.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0233.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0234.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0234.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0234.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0234.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0234.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0235.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0235.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0235.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0235.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0235.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0236.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0236.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0236.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0236.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0236.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0237.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0237.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0237.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0237.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0237.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0238.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0238.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0238.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0238.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0238.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0239.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0239.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0239.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0239.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0239.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0240.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0240.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0240.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0240.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0240.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0241.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0241.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0241.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0241.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0241.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0242.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0242.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0242.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0242.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0242.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0243.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0243.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0243.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0243.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (17),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0243.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0244.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0244.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0244.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0244.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0244.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0245.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0245.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0245.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0245.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0245.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0246.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0246.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0246.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0246.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0246.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0247.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0247.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0247.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0247.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0247.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0248.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0248.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0248.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0248.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0248.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0249.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0249.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0249.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0249.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0249.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0250.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0250.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0250.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0250.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0250.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0251.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0251.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0251.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0251.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0251.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0252.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0252.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0252.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0252.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (69),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0252.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0253.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0253.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0253.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0253.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0253.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0254.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0254.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0254.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0254.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0254.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0255.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0255.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0255.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0255.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0255.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0256.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0256.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0256.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0256.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0256.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0257.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0257.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0257.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0257.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0257.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0258.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0258.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0258.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0258.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0258.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0259.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0259.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0259.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0259.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0259.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0260.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0260.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0260.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0260.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (22),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0260.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0261.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0261.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0261.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0261.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0261.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0262.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0262.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0262.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0262.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0262.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0263.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0263.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0263.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0263.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0263.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0264.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0264.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0264.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0264.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0264.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0265.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0265.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0265.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0265.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0265.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0266.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0266.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0266.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0266.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0266.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0267.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0267.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0267.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0267.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0267.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0268.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0268.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0268.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0268.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0268.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0269.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0269.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0269.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0269.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (48),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0269.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_0270.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0270.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0270.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0270.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0270.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0271.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0271.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0271.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0271.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0271.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0272.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0272.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0272.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0272.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0272.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0273.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0273.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0273.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0273.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (35),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0273.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0274.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0274.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0274.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0274.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0274.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0275.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0275.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0275.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0275.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0275.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0276.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0276.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0276.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0276.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0276.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0277.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0277.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0277.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0277.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0277.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0278.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0278.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0278.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0278.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0278.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0279.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0279.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0279.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0279.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0279.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0280.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0280.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0280.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0280.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0280.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0281.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0281.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0281.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0281.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0281.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0282.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0282.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0282.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0282.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0282.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0283.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0283.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0283.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0283.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0283.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0284.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0284.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0284.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0284.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0284.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0285.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0285.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0285.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0285.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0285.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0286.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0286.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0286.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0286.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0286.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0287.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0287.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0287.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0287.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0287.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0288.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0288.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0288.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0288.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (28),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0288.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0289.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0289.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0289.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0289.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0289.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0290.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0290.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0290.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0290.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0290.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0291.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0291.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0291.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0291.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0291.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0292.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0292.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0292.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0292.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0292.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0293.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0293.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0293.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0293.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0293.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0294.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0294.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0294.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0294.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0294.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0295.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0295.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0295.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0295.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0295.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0296.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0296.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0296.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0296.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0296.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0297.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0297.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0297.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0297.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0297.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0298.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0298.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0298.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0298.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0298.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0299.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0299.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0299.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0299.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0299.png,"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.",increase to 14 moves,"{""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}"
Image Description,hex_pathfinding_0300.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0300.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0300.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0300.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0300.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0301.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0301.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0301.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0301.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0301.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0302.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0302.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0302.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0302.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0302.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0303.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0303.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0303.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0303.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0303.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0304.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0304.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0304.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0304.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0304.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0305.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0305.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0305.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0305.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0305.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0306.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0306.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0306.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0306.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0306.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0307.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0307.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0307.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0307.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0307.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0308.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0308.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0308.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0308.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0308.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0309.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0309.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0309.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0309.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0309.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0310.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0310.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0310.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0310.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0310.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0311.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0311.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0311.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0311.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0311.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0312.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0312.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0312.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0312.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0312.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0313.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0313.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0313.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0313.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0313.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0314.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0314.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0314.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0314.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0314.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0315.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0315.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0315.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0315.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0315.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0316.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0316.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0316.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0316.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0316.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0317.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0317.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0317.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0317.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0317.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0318.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0318.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0318.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0318.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0318.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0319.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0319.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0319.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0319.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0319.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0320.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0320.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0320.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0320.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0320.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0321.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0321.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0321.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0321.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0321.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0322.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0322.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0322.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0322.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0322.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0323.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0323.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0323.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0323.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0323.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0324.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0324.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0324.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0324.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0324.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0325.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0325.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0325.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0325.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0325.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0326.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0326.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0326.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0326.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0326.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0327.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0327.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0327.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0327.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0327.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0328.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0328.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0328.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0328.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0328.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0329.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0329.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0329.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0329.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0329.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0330.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0330.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0330.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0330.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0330.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0331.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0331.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0331.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0331.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0331.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0332.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0332.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0332.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0332.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0332.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0333.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0333.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0333.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0333.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0333.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0334.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0334.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0334.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0334.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0334.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0335.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0335.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0335.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0335.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0335.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0336.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0336.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0336.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0336.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0336.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0337.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0337.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0337.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0337.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0337.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0338.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0338.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0338.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0338.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0338.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_0339.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0339.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0339.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0339.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (23),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0339.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0340.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0340.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0340.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0340.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0340.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0341.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0341.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0341.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0341.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0341.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0342.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0342.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0342.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0342.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0342.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0343.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0343.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0343.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0343.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0343.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0344.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0344.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0344.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0344.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0344.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0345.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0345.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0345.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0345.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0345.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0346.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0346.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0346.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0346.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0346.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0347.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0347.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0347.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0347.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0347.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0348.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0348.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0348.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0348.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0348.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0349.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0349.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0349.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0349.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0349.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0350.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0350.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0350.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0350.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0350.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0351.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0351.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0351.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0351.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (31),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0351.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0352.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0352.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0352.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0352.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0352.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0353.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0353.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0353.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0353.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0353.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0354.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0354.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0354.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0354.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0354.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0355.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0355.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0355.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0355.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0355.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0356.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0356.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0356.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0356.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0356.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 13 moves,"{""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}"
Image Description,hex_pathfinding_0357.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0357.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0357.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0357.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0357.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0358.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0358.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0358.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0358.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0358.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0359.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0359.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0359.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0359.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0359.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0360.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0360.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0360.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0360.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (33),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0360.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0361.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0361.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0361.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0361.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0361.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0362.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0362.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0362.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0362.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0362.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0363.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0363.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0363.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0363.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0363.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0364.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0364.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0364.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0364.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0364.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0365.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0365.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0365.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0365.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0365.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0366.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0366.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0366.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0366.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0366.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0367.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0367.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0367.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0367.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0367.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0368.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0368.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0368.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0368.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0368.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0369.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0369.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0369.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0369.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0369.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0370.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0370.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0370.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0370.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0370.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0371.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0371.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0371.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0371.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0371.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0372.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0372.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0372.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0372.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (32),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0372.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0373.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0373.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0373.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0373.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0373.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0374.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0374.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0374.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0374.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0374.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0375.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0375.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0375.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0375.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0375.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0376.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0376.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0376.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0376.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0376.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0377.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0377.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0377.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0377.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0377.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0378.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0378.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0378.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0378.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0378.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0379.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0379.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0379.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0379.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0379.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0380.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0380.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0380.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0380.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0380.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0381.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0381.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0381.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0381.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0381.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0382.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0382.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0382.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0382.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0382.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0383.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0383.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0383.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0383.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0383.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0384.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0384.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0384.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0384.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0384.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0385.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0385.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0385.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0385.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0385.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0386.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0386.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0386.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0386.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0386.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0387.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0387.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0387.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0387.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0387.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0388.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0388.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0388.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0388.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0388.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0389.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0389.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0389.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0389.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0389.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0390.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0390.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0390.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0390.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0390.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0391.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0391.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0391.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0391.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0391.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0392.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0392.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0392.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0392.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0392.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0393.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0393.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0393.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0393.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0393.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0394.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0394.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0394.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0394.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0394.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0395.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0395.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0395.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0395.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0395.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0396.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0396.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0396.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0396.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0396.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0397.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0397.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0397.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0397.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0397.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0398.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0398.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0398.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0398.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0398.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0399.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0399.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0399.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0399.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0399.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0400.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0400.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0400.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0400.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0400.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0401.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0401.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0401.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0401.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0401.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0402.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0402.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0402.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0402.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0402.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0403.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0403.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0403.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0403.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0403.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0404.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0404.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0404.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0404.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0404.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0405.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0405.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0405.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0405.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0405.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0406.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0406.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0406.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0406.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0406.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0407.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0407.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0407.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0407.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0407.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0408.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0408.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0408.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0408.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0408.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0409.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0409.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0409.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0409.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0409.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0410.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0410.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0410.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0410.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0410.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0411.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0411.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0411.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0411.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0411.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0412.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0412.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0412.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0412.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0412.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0413.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0413.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0413.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0413.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0413.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0414.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0414.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0414.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0414.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (28),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0414.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0415.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0415.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0415.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0415.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0415.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0416.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0416.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0416.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0416.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0416.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0417.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0417.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0417.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0417.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0417.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0418.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0418.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0418.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0418.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0418.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0419.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0419.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0419.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0419.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0419.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0420.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0420.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0420.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0420.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (58),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0420.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0421.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0421.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0421.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0421.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0421.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0422.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0422.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0422.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0422.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0422.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0423.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0423.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0423.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0423.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (25),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0423.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0424.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0424.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0424.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0424.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0424.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0425.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0425.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0425.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0425.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0425.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0426.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0426.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0426.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0426.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (22),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0426.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0427.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0427.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0427.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0427.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0427.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0428.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0428.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0428.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0428.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0428.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0429.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0429.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0429.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0429.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0429.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0430.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0430.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0430.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0430.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0430.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0431.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0431.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0431.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0431.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0431.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0432.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0432.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0432.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0432.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0432.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0433.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0433.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0433.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0433.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0433.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0434.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0434.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0434.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0434.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0434.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0435.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0435.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0435.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0435.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (31),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0435.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0436.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0436.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0436.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0436.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0436.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0437.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0437.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0437.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0437.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0437.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0438.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0438.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0438.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0438.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0438.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0439.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0439.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0439.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0439.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0439.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0440.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0440.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0440.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0440.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0440.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0441.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0441.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0441.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0441.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0441.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0442.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0442.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0442.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0442.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0442.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0443.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0443.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0443.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0443.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0443.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0444.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0444.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0444.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,16,"{""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}"
Compound Reasoning,hex_pathfinding_0444.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (50),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0444.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0445.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0445.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0445.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0445.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0445.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0446.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0446.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0446.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0446.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0446.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0447.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0447.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0447.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0447.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0447.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0448.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0448.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0448.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0448.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0448.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0449.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0449.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0449.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0449.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0449.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0450.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0450.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0450.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0450.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0450.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0451.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0451.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0451.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0451.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0451.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0452.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0452.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0452.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0452.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0452.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0453.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0453.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0453.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0453.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0453.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0454.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0454.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0454.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0454.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0454.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0455.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0455.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0455.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0455.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0455.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0456.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0456.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0456.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0456.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0456.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0457.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0457.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0457.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0457.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0457.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0458.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0458.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0458.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0458.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0458.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0459.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0459.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0459.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0459.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0459.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0460.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0460.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0460.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0460.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0460.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0461.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0461.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0461.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0461.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0461.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0462.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0462.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0462.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0462.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0462.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0463.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0463.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0463.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0463.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0463.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0464.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0464.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0464.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0464.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0464.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0465.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0465.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0465.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0465.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0465.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0466.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0466.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0466.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0466.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0466.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0467.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0467.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0467.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0467.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0467.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0468.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0468.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0468.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0468.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0468.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0469.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0469.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0469.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0469.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0469.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0470.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0470.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0470.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0470.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0470.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0471.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0471.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0471.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0471.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0471.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0472.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0472.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0472.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0472.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0472.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0473.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0473.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0473.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0473.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0473.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0474.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0474.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0474.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0474.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0474.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0475.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0475.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0475.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0475.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0475.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0476.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0476.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0476.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0476.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0476.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0477.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0477.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0477.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0477.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0477.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0478.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0478.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0478.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0478.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0478.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0479.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0479.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0479.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0479.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0479.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0480.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0480.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0480.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0480.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0480.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0481.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0481.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0481.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0481.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0481.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0482.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0482.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0482.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0482.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0482.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0483.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0483.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0483.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0483.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0483.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0484.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0484.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0484.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0484.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0484.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0485.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0485.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0485.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0485.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0485.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0486.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0486.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0486.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0486.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0486.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0487.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0487.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0487.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0487.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0487.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0488.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0488.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0488.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0488.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0488.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0489.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0489.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0489.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0489.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0489.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0490.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0490.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0490.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0490.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0490.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0491.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0491.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0491.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0491.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0491.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0492.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0492.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0492.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0492.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0492.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0493.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0493.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0493.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0493.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0493.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0494.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0494.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0494.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0494.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0494.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0495.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0495.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0495.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0495.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0495.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0496.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0496.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0496.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0496.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0496.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0497.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0497.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0497.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0497.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0497.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0498.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0498.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0498.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0498.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0498.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0499.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0499.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0499.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0499.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0499.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0500.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0500.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0500.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0500.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0500.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0501.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0501.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0501.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0501.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0501.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0502.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0502.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0502.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0502.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0502.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0503.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0503.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0503.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0503.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0503.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0504.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0504.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0504.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0504.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0504.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0505.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0505.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0505.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0505.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0505.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0506.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0506.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0506.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0506.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0506.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0507.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0507.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0507.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0507.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0507.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0508.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0508.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0508.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0508.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0508.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0509.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0509.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0509.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0509.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0509.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0510.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0510.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0510.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0510.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0510.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0511.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0511.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0511.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0511.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0511.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0512.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0512.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0512.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0512.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0512.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0513.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0513.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0513.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0513.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0513.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0514.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0514.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0514.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0514.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0514.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0515.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0515.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0515.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0515.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0515.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0516.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0516.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0516.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0516.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0516.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0517.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0517.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0517.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0517.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0517.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0518.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0518.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0518.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0518.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0518.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0519.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0519.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0519.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0519.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0519.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0520.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0520.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0520.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0520.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0520.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0521.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0521.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0521.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0521.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0521.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0522.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0522.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0522.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0522.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0522.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0523.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0523.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0523.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0523.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0523.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0524.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0524.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0524.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0524.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0524.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0525.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0525.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0525.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0525.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0525.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0526.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0526.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0526.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0526.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0526.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0527.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0527.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0527.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0527.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0527.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0528.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0528.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0528.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0528.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0528.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0529.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0529.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0529.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0529.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0529.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0530.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0530.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0530.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0530.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0530.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0531.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0531.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0531.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0531.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0531.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0532.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0532.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0532.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0532.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0532.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0533.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0533.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0533.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0533.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0533.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0534.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0534.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0534.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0534.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0534.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0535.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0535.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0535.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0535.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0535.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0536.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0536.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0536.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0536.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0536.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0537.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0537.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0537.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0537.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (34),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0537.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0538.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0538.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0538.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0538.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0538.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0539.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0539.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0539.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0539.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0539.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0540.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0540.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0540.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0540.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0540.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0541.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0541.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0541.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0541.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0541.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0542.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0542.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0542.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0542.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0542.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0543.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0543.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0543.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0543.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0543.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0544.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0544.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0544.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0544.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0544.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0545.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0545.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0545.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0545.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0545.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0546.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0546.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0546.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0546.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0546.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0547.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0547.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0547.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0547.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0547.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0548.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0548.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0548.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0548.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0548.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0549.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0549.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0549.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0549.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0549.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0550.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0550.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0550.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0550.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0550.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0551.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0551.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0551.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0551.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0551.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0552.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0552.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0552.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0552.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0552.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0553.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0553.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0553.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0553.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0553.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0554.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0554.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0554.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0554.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0554.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0555.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0555.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0555.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0555.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0555.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0556.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0556.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0556.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0556.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0556.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0557.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0557.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0557.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0557.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0557.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0558.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0558.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0558.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0558.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0558.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0559.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0559.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0559.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0559.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0559.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0560.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0560.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0560.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0560.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0560.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0561.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0561.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0561.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0561.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0561.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0562.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0562.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0562.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0562.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0562.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0563.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0563.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0563.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0563.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0563.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0564.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0564.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0564.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0564.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0564.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0565.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0565.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0565.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0565.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0565.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0566.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0566.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0566.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0566.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0566.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0567.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0567.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0567.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0567.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0567.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0568.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0568.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0568.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0568.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0568.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0569.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0569.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0569.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0569.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0569.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_0570.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0570.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0570.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0570.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0570.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0571.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0571.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0571.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0571.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0571.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0572.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0572.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0572.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0572.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0572.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0573.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0573.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0573.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0573.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0573.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0574.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0574.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0574.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0574.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0574.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0575.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0575.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0575.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0575.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0575.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0576.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0576.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0576.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0576.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0576.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0577.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0577.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0577.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0577.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0577.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0578.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0578.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0578.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0578.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0578.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0579.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0579.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0579.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0579.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0579.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0580.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0580.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0580.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0580.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0580.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0581.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0581.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0581.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0581.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0581.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0582.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0582.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0582.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0582.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0582.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0583.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0583.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0583.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0583.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0583.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0584.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0584.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0584.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0584.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0584.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0585.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0585.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0585.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0585.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0585.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0586.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0586.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0586.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0586.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0586.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0587.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0587.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0587.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0587.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0587.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0588.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0588.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0588.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0588.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0588.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0589.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0589.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0589.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0589.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0589.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0590.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0590.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0590.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0590.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0590.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0591.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0591.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0591.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0591.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0591.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0592.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0592.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0592.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0592.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0592.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0593.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0593.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0593.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0593.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0593.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0594.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0594.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0594.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0594.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0594.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0595.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0595.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0595.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0595.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0595.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0596.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0596.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0596.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0596.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0596.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0597.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0597.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0597.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0597.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0597.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0598.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0598.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0598.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0598.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0598.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0599.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0599.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0599.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0599.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0599.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0600.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0600.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0600.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0600.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0600.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0601.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0601.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0601.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0601.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0601.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0602.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0602.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0602.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0602.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0602.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0603.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0603.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0603.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0603.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0603.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0604.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0604.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0604.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0604.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0604.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0605.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0605.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0605.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0605.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0605.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0606.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0606.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0606.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0606.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0606.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0607.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0607.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0607.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0607.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0607.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0608.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0608.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0608.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0608.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0608.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0609.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0609.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0609.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0609.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0609.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0610.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0610.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0610.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0610.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0610.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0611.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0611.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0611.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0611.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0611.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0612.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0612.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0612.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0612.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0612.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0613.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0613.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0613.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0613.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0613.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0614.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0614.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0614.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0614.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0614.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0615.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0615.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0615.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0615.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0615.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0616.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0616.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0616.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0616.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0616.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0617.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0617.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0617.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0617.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0617.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0618.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0618.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0618.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0618.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0618.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0619.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0619.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0619.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0619.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0619.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0620.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0620.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0620.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0620.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0620.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0621.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0621.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0621.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0621.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0621.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0622.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0622.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0622.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0622.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0622.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0623.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0623.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0623.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0623.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0623.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0624.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0624.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0624.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0624.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0624.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0625.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0625.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0625.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0625.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0625.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0626.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0626.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0626.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0626.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (26),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0626.png,"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.",increase to 13 moves,"{""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}"
Image Description,hex_pathfinding_0627.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0627.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0627.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0627.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0627.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0628.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0628.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0628.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0628.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0628.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0629.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0629.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0629.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0629.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0629.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0630.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0630.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0630.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0630.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (65),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0630.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0631.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0631.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0631.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0631.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0631.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0632.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0632.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0632.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0632.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0632.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0633.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0633.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0633.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0633.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0633.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0634.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0634.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0634.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0634.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0634.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0635.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0635.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0635.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0635.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0635.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0636.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0636.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0636.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0636.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0636.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0637.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0637.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0637.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0637.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0637.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0638.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0638.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0638.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0638.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0638.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0639.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0639.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0639.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0639.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0639.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0640.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0640.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0640.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0640.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0640.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0641.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0641.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0641.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0641.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0641.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0642.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0642.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0642.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0642.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0642.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0643.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0643.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0643.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0643.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0643.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0644.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0644.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0644.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0644.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0644.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_0645.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0645.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0645.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0645.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (33),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0645.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0646.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0646.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0646.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0646.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0646.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0647.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0647.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0647.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0647.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0647.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0648.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0648.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0648.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0648.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0648.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0649.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0649.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0649.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0649.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0649.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0650.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0650.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0650.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0650.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0650.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0651.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0651.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0651.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0651.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0651.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0652.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0652.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0652.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0652.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0652.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0653.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0653.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0653.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0653.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0653.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0654.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0654.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0654.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0654.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0654.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0655.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0655.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0655.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0655.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0655.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0656.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0656.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0656.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0656.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0656.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_0657.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0657.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0657.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0657.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (17),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0657.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0658.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0658.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0658.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0658.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0658.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0659.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0659.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0659.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0659.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0659.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0660.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0660.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0660.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0660.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0660.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0661.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0661.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0661.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0661.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0661.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0662.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0662.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0662.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0662.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0662.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0663.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0663.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0663.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0663.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0663.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0664.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0664.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0664.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0664.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0664.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0665.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0665.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0665.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0665.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0665.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0666.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0666.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0666.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0666.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0666.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0667.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0667.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0667.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0667.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0667.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0668.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0668.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0668.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0668.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0668.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0669.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0669.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0669.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0669.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0669.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0670.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0670.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0670.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0670.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0670.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0671.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0671.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0671.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0671.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0671.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0672.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0672.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0672.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0672.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0672.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0673.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0673.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0673.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0673.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0673.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0674.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0674.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0674.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0674.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0674.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0675.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0675.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0675.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0675.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0675.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0676.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0676.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0676.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0676.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0676.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0677.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0677.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0677.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0677.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0677.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0678.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0678.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0678.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0678.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0678.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0679.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0679.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0679.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0679.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0679.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0680.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0680.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0680.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0680.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0680.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0681.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0681.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0681.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0681.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0681.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0682.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0682.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0682.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0682.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0682.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0683.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0683.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0683.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0683.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0683.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0684.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0684.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0684.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,15,"{""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}"
Compound Reasoning,hex_pathfinding_0684.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0684.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0685.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0685.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0685.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0685.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0685.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0686.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0686.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0686.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0686.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0686.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0687.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0687.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0687.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0687.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0687.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0688.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0688.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0688.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0688.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0688.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0689.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0689.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0689.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0689.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0689.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0690.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0690.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0690.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0690.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0690.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0691.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0691.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0691.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0691.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0691.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0692.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0692.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0692.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0692.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0692.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0693.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0693.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0693.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0693.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0693.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0694.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0694.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0694.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0694.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0694.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0695.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0695.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0695.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0695.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0695.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0696.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0696.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0696.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0696.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0696.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0697.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0697.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0697.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0697.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0697.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0698.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0698.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0698.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0698.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0698.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0699.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0699.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0699.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0699.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0699.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0700.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0700.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0700.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0700.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0700.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0701.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0701.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0701.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0701.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0701.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0702.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0702.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0702.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0702.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0702.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0703.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0703.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0703.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0703.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0703.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0704.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0704.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0704.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0704.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0704.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0705.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0705.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0705.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0705.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0705.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0706.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0706.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0706.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0706.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0706.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0707.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0707.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0707.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0707.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0707.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0708.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0708.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0708.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0708.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0708.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0709.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0709.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0709.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0709.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0709.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0710.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0710.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0710.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0710.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0710.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0711.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0711.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0711.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0711.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0711.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0712.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0712.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0712.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0712.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0712.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0713.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0713.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0713.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0713.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0713.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0714.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0714.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0714.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0714.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0714.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0715.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0715.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0715.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0715.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0715.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0716.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0716.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0716.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0716.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0716.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0717.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0717.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0717.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0717.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0717.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0718.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0718.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0718.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0718.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0718.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0719.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0719.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0719.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0719.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0719.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0720.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0720.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0720.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0720.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0720.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0721.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0721.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0721.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0721.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0721.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0722.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0722.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0722.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0722.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0722.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0723.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0723.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0723.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0723.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0723.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0724.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0724.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0724.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0724.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0724.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0725.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0725.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0725.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0725.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0725.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0726.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0726.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0726.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0726.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0726.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0727.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0727.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0727.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0727.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0727.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0728.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0728.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0728.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0728.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0728.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0729.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0729.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0729.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0729.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (22),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0729.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0730.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0730.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0730.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0730.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0730.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0731.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0731.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0731.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0731.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0731.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0732.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0732.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0732.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0732.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0732.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0733.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0733.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0733.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0733.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0733.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0734.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0734.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0734.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0734.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0734.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0735.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0735.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0735.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0735.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0735.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0736.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0736.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0736.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0736.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0736.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0737.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0737.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0737.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0737.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0737.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0738.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0738.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0738.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0738.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0738.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0739.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0739.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0739.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0739.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0739.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0740.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0740.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0740.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0740.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0740.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0741.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0741.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0741.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0741.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0741.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0742.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0742.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0742.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0742.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0742.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0743.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0743.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0743.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0743.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0743.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0744.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0744.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0744.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0744.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0744.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0745.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0745.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0745.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0745.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0745.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0746.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0746.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0746.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0746.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0746.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0747.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0747.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0747.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0747.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0747.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0748.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0748.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0748.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0748.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0748.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0749.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0749.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0749.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0749.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0749.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0750.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0750.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0750.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0750.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0750.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0751.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0751.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0751.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0751.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0751.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0752.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0752.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0752.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0752.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (17),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0752.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0753.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0753.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0753.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0753.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0753.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0754.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0754.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0754.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0754.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0754.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0755.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0755.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0755.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0755.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0755.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0756.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0756.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0756.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0756.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0756.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0757.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0757.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0757.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0757.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0757.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0758.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0758.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0758.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0758.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0758.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0759.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0759.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0759.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0759.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0759.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0760.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0760.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0760.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0760.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0760.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0761.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0761.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0761.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0761.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0761.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0762.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0762.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0762.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0762.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0762.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0763.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0763.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0763.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0763.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0763.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0764.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0764.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0764.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0764.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0764.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0765.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0765.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0765.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0765.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0765.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0766.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0766.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0766.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0766.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0766.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0767.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0767.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0767.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0767.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0767.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0768.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0768.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0768.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0768.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0768.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0769.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0769.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0769.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0769.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0769.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0770.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0770.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0770.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0770.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0770.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0771.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0771.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0771.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0771.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0771.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0772.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0772.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0772.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0772.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0772.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0773.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0773.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0773.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0773.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0773.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0774.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0774.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0774.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0774.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0774.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0775.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0775.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0775.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0775.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0775.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0776.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0776.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0776.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0776.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0776.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0777.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0777.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0777.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0777.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0777.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0778.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0778.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0778.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0778.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0778.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0779.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0779.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0779.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0779.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0779.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_0780.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0780.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0780.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0780.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0780.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0781.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0781.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0781.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0781.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0781.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0782.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0782.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0782.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0782.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0782.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0783.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0783.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0783.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0783.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0783.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0784.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0784.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0784.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0784.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0784.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0785.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0785.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0785.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0785.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0785.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0786.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0786.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0786.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0786.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0786.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0787.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0787.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0787.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0787.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0787.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0788.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0788.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0788.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0788.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0788.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0789.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0789.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0789.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0789.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0789.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0790.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0790.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0790.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0790.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0790.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0791.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0791.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0791.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0791.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0791.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0792.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0792.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0792.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0792.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0792.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0793.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0793.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0793.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0793.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (19),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0793.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0794.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0794.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0794.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0794.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0794.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0795.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0795.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0795.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0795.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0795.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0796.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0796.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0796.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0796.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0796.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0797.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0797.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0797.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0797.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0797.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0798.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0798.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0798.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0798.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0798.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0799.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0799.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0799.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0799.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0799.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0800.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0800.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0800.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0800.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0800.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0801.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0801.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0801.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0801.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0801.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0802.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0802.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0802.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0802.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0802.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0803.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0803.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0803.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0803.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0803.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_0804.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0804.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0804.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0804.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0804.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0805.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0805.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0805.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0805.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0805.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0806.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0806.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0806.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0806.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0806.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0807.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0807.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0807.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0807.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (17),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0807.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0808.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0808.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0808.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0808.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0808.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0809.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0809.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0809.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0809.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0809.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0810.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0810.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0810.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0810.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0810.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0811.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0811.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0811.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0811.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0811.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0812.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0812.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0812.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0812.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0812.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0813.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0813.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0813.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0813.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0813.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0814.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0814.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0814.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0814.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0814.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0815.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0815.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0815.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0815.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0815.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0816.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0816.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0816.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0816.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0816.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0817.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0817.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0817.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0817.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0817.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0818.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0818.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0818.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0818.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0818.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0819.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0819.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0819.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0819.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0819.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0820.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0820.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0820.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0820.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0820.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0821.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0821.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0821.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0821.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0821.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0822.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0822.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0822.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0822.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0822.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0823.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0823.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0823.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0823.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0823.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0824.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0824.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0824.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0824.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0824.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0825.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0825.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0825.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0825.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0825.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0826.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0826.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0826.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0826.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0826.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0827.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0827.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0827.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0827.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0827.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0828.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0828.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0828.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0828.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0828.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0829.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0829.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0829.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0829.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0829.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0830.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0830.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0830.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0830.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0830.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_0831.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0831.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0831.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0831.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0831.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0832.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0832.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0832.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0832.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0832.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0833.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0833.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0833.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0833.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0833.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0834.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0834.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0834.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0834.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0834.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0835.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0835.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0835.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0835.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0835.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0836.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0836.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0836.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0836.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0836.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_0837.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0837.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0837.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0837.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0837.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0838.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0838.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0838.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0838.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0838.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0839.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0839.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0839.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0839.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0839.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0840.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0840.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0840.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0840.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0840.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0841.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0841.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0841.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0841.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0841.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0842.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0842.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0842.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0842.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0842.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0843.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0843.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0843.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0843.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0843.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0844.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0844.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0844.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0844.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0844.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0845.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0845.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0845.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0845.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0845.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0846.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0846.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0846.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0846.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0846.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0847.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0847.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0847.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0847.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0847.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0848.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0848.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0848.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0848.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0848.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0849.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0849.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0849.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_0849.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0849.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0850.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0850.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0850.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0850.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0850.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0851.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0851.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0851.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0851.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0851.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0852.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0852.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0852.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0852.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0852.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0853.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0853.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0853.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0853.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0853.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0854.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0854.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0854.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0854.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0854.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0855.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0855.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0855.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0855.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0855.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0856.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0856.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0856.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0856.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0856.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0857.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0857.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0857.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0857.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0857.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0858.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0858.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0858.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0858.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0858.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0859.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0859.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0859.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0859.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0859.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0860.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0860.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0860.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0860.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0860.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0861.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0861.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0861.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0861.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0861.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0862.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0862.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0862.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0862.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0862.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0863.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0863.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0863.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0863.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0863.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0864.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0864.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0864.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0864.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (22),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0864.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0865.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0865.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0865.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0865.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0865.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0866.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0866.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0866.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0866.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0866.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0867.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0867.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0867.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0867.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0867.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0868.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0868.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0868.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0868.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0868.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0869.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0869.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0869.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0869.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0869.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0870.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0870.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0870.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0870.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0870.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0871.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0871.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0871.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0871.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0871.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0872.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0872.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0872.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0872.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0872.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0873.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0873.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0873.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,15,"{""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}"
Compound Reasoning,hex_pathfinding_0873.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0873.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0874.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0874.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0874.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0874.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0874.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0875.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0875.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0875.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0875.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0875.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0876.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0876.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0876.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0876.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0876.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0877.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0877.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0877.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0877.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0877.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0878.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0878.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0878.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0878.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0878.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_0879.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0879.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0879.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0879.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0879.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0880.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0880.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0880.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0880.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0880.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0881.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0881.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0881.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0881.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0881.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0882.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0882.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0882.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0882.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (28),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0882.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0883.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0883.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0883.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0883.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0883.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0884.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0884.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0884.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0884.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0884.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0885.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0885.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0885.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0885.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0885.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0886.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0886.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0886.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0886.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0886.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0887.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0887.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0887.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0887.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0887.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0888.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0888.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0888.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0888.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0888.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0889.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0889.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0889.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0889.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0889.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0890.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0890.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0890.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0890.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0890.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0891.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0891.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0891.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0891.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0891.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0892.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0892.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0892.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0892.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0892.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0893.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0893.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0893.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0893.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0893.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0894.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0894.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0894.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0894.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0894.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0895.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0895.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0895.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0895.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0895.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0896.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0896.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0896.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0896.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0896.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0897.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0897.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0897.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0897.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0897.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0898.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0898.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0898.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0898.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0898.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0899.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0899.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0899.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0899.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0899.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0900.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0900.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0900.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0900.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0900.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0901.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0901.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0901.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0901.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0901.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0902.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0902.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0902.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0902.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0902.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0903.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0903.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0903.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0903.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (33),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0903.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0904.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0904.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0904.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0904.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0904.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0905.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0905.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0905.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0905.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0905.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0906.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0906.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0906.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0906.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0906.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0907.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0907.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0907.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0907.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0907.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0908.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0908.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0908.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0908.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0908.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0909.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0909.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0909.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0909.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0909.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0910.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0910.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0910.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0910.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0910.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0911.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0911.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0911.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0911.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0911.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0912.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0912.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0912.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0912.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0912.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0913.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0913.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0913.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0913.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0913.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0914.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0914.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0914.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0914.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0914.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0915.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0915.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0915.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0915.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0915.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0916.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0916.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0916.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0916.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0916.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0917.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0917.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0917.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0917.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0917.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0918.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0918.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0918.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_0918.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (24),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0918.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0919.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0919.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0919.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0919.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0919.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0920.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0920.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0920.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0920.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0920.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0921.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0921.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0921.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0921.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0921.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0922.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0922.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0922.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0922.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0922.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0923.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0923.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0923.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0923.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0923.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0924.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0924.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0924.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0924.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0924.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0925.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0925.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0925.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0925.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0925.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0926.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0926.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0926.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0926.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0926.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0927.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0927.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0927.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0927.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0927.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0928.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0928.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0928.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0928.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0928.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0929.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0929.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0929.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0929.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0929.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0930.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0930.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0930.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0930.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0930.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0931.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0931.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0931.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0931.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0931.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0932.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0932.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0932.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0932.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0932.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0933.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0933.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0933.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0933.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0933.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0934.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0934.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0934.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0934.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0934.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0935.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0935.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0935.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0935.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0935.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0936.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0936.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0936.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0936.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0936.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0937.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0937.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0937.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0937.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0937.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0938.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0938.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0938.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0938.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0938.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0939.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0939.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0939.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0939.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0939.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0940.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0940.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0940.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0940.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0940.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0941.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0941.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0941.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0941.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0941.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0942.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0942.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0942.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0942.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0942.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0943.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0943.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0943.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0943.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0943.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0944.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0944.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0944.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0944.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0944.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0945.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0945.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0945.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0945.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0945.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0946.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0946.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0946.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0946.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0946.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0947.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0947.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0947.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0947.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0947.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0948.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0948.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0948.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0948.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0948.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0949.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0949.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0949.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0949.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0949.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0950.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0950.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0950.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0950.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0950.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0951.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0951.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0951.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0951.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0951.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0952.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0952.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0952.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0952.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0952.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0953.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0953.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0953.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0953.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0953.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0954.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0954.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0954.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0954.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0954.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0955.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0955.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0955.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0955.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0955.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0956.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0956.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0956.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0956.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0956.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0957.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0957.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0957.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0957.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0957.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0958.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0958.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0958.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0958.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0958.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0959.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0959.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0959.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0959.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0959.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0960.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0960.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0960.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0960.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0960.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0961.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0961.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0961.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0961.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0961.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_0962.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0962.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0962.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0962.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0962.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_0963.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0963.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0963.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0963.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0963.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0964.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0964.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0964.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0964.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0964.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0965.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0965.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0965.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0965.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0965.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0966.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0966.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0966.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0966.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0966.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0967.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0967.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0967.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0967.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0967.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0968.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0968.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0968.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0968.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0968.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0969.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0969.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0969.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0969.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0969.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0970.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0970.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0970.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0970.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0970.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0971.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0971.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0971.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0971.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0971.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0972.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0972.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0972.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0972.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0972.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0973.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0973.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0973.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0973.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0973.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0974.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0974.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0974.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0974.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0974.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0975.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0975.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0975.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_0975.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0975.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0976.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0976.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0976.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0976.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0976.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0977.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0977.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0977.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0977.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0977.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0978.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0978.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0978.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0978.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0978.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0979.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0979.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0979.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0979.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0979.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0980.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0980.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0980.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0980.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0980.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0981.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0981.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0981.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0981.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0981.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0982.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_0982.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_0982.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_0982.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0982.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_0983.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0983.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0983.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0983.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0983.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_0984.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0984.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0984.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_0984.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0984.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0985.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0985.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0985.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0985.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0985.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0986.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0986.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0986.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0986.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0986.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_0987.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0987.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0987.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0987.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0987.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0988.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0988.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0988.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0988.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0988.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0989.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0989.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0989.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0989.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0989.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0990.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0990.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0990.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,14,"{""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}"
Compound Reasoning,hex_pathfinding_0990.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0990.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0991.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0991.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0991.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_0991.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0991.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_0992.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0992.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0992.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0992.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0992.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0993.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0993.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0993.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0993.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0993.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0994.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0994.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0994.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_0994.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0994.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_0995.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0995.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0995.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_0995.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0995.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_0996.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0996.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0996.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0996.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0996.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_0997.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0997.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0997.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_0997.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0997.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_0998.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0998.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_0998.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_0998.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0998.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_0999.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_0999.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_0999.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_0999.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_0999.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1000.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1000.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1000.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1000.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1000.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1001.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1001.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1001.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1001.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1001.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1002.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1002.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1002.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1002.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1002.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1003.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1003.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1003.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1003.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1003.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1004.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1004.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1004.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1004.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1004.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1005.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1005.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1005.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1005.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1005.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1006.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1006.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1006.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1006.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1006.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1007.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1007.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1007.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1007.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1007.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_1008.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1008.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1008.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1008.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1008.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1009.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1009.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1009.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1009.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1009.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1010.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1010.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1010.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1010.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1010.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1011.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1011.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1011.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1011.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1011.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1012.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1012.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1012.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1012.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1012.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1013.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1013.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1013.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1013.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1013.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1014.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1014.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1014.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1014.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1014.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1015.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1015.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1015.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1015.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1015.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1016.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1016.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1016.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1016.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1016.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1017.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1017.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1017.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1017.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1017.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1018.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1018.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1018.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1018.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1018.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1019.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1019.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1019.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1019.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1019.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1020.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1020.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1020.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1020.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1020.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1021.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1021.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1021.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1021.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1021.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1022.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1022.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1022.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1022.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1022.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1023.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1023.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1023.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1023.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1023.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1024.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1024.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1024.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1024.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1024.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1025.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1025.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1025.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1025.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1025.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1026.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1026.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1026.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1026.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1026.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1027.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1027.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1027.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1027.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1027.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1028.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1028.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1028.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1028.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1028.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1029.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1029.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1029.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1029.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1029.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1030.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1030.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1030.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1030.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1030.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1031.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1031.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1031.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1031.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1031.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1032.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1032.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1032.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1032.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1032.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1033.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1033.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1033.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1033.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1033.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1034.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1034.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1034.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1034.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1034.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1035.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1035.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1035.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1035.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1035.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1036.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1036.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1036.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1036.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1036.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1037.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1037.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1037.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1037.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1037.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1038.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1038.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1038.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1038.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1038.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1039.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1039.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1039.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1039.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1039.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1040.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1040.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1040.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1040.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1040.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_1041.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1041.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1041.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1041.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1041.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1042.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1042.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1042.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1042.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1042.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1043.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1043.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1043.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1043.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1043.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1044.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1044.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1044.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1044.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (35),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1044.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1045.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1045.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1045.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1045.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1045.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1046.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1046.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1046.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1046.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1046.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1047.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1047.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1047.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1047.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1047.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1048.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1048.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1048.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1048.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1048.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1049.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1049.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1049.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1049.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1049.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1050.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1050.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1050.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1050.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1050.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1051.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1051.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1051.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1051.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1051.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1052.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1052.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1052.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1052.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1052.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1053.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1053.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1053.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1053.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1053.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1054.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1054.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1054.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1054.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1054.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1055.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1055.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1055.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1055.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1055.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1056.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1056.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1056.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1056.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1056.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1057.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1057.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1057.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1057.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1057.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1058.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1058.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1058.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1058.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1058.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1059.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1059.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1059.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1059.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1059.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1060.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1060.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1060.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1060.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1060.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1061.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1061.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1061.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1061.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1061.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1062.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1062.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1062.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1062.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1062.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1063.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1063.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1063.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1063.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1063.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1064.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1064.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1064.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1064.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1064.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1065.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1065.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1065.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1065.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1065.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1066.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1066.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1066.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1066.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1066.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1067.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1067.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1067.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1067.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1067.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1068.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1068.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1068.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1068.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1068.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1069.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1069.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1069.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1069.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1069.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1070.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1070.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1070.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1070.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1070.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1071.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1071.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1071.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1071.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1071.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1072.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1072.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1072.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1072.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1072.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1073.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1073.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1073.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1073.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1073.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1074.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1074.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1074.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1074.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1074.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1075.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1075.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1075.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1075.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1075.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1076.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1076.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1076.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1076.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1076.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1077.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1077.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1077.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1077.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1077.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1078.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1078.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1078.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1078.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1078.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1079.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1079.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1079.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1079.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1079.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1080.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1080.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1080.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1080.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1080.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1081.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1081.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1081.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1081.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1081.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1082.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1082.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1082.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1082.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1082.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1083.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1083.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1083.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1083.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1083.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1084.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1084.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1084.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1084.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1084.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1085.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1085.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1085.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1085.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1085.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1086.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1086.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1086.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1086.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1086.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1087.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1087.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1087.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1087.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1087.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1088.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1088.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1088.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1088.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1088.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1089.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1089.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1089.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1089.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (56),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1089.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1090.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1090.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1090.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1090.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1090.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1091.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1091.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1091.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1091.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1091.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1092.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1092.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1092.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1092.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (25),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1092.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1093.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1093.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1093.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1093.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1093.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1094.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1094.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1094.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1094.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1094.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_1095.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1095.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1095.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1095.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1095.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1096.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1096.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1096.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1096.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1096.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1097.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1097.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1097.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1097.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1097.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1098.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1098.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1098.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1098.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (23),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1098.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1099.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1099.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1099.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1099.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1099.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1100.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1100.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1100.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1100.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1100.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1101.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1101.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1101.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1101.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1101.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1102.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1102.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1102.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1102.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1102.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1103.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1103.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1103.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1103.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1103.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1104.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1104.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1104.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1104.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1104.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1105.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1105.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1105.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1105.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1105.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1106.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1106.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1106.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1106.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (19),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1106.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1107.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1107.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1107.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1107.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1107.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1108.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1108.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1108.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1108.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1108.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1109.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1109.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1109.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1109.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1109.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1110.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1110.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1110.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1110.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1110.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1111.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1111.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1111.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1111.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1111.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1112.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1112.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1112.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1112.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1112.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1113.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1113.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1113.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1113.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1113.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1114.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1114.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1114.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1114.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1114.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1115.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1115.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1115.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1115.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1115.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1116.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1116.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1116.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1116.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1116.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1117.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1117.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1117.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1117.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1117.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1118.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1118.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1118.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1118.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1118.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1119.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1119.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1119.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1119.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1119.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1120.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1120.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1120.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1120.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1120.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1121.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1121.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1121.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1121.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1121.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1122.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1122.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1122.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1122.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (35),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1122.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1123.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1123.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1123.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1123.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1123.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1124.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1124.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1124.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1124.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1124.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1125.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1125.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1125.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1125.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1125.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1126.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1126.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1126.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1126.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1126.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1127.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1127.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1127.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1127.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1127.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1128.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1128.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1128.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1128.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1128.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1129.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1129.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1129.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1129.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1129.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1130.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1130.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1130.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1130.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1130.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1131.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1131.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1131.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1131.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (38),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1131.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1132.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1132.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1132.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1132.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1132.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1133.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1133.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1133.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1133.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1133.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1134.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1134.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1134.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1134.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (19),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1134.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1135.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1135.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1135.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1135.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1135.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1136.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1136.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1136.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1136.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1136.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1137.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1137.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1137.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1137.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1137.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1138.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1138.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1138.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1138.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1138.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1139.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1139.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1139.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1139.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1139.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1140.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1140.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1140.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1140.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1140.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1141.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1141.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1141.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1141.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1141.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1142.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1142.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1142.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1142.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1142.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1143.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1143.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1143.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1143.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1143.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1144.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1144.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1144.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1144.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1144.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1145.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1145.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1145.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1145.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1145.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1146.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1146.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1146.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1146.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1146.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1147.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1147.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1147.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1147.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1147.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1148.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1148.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1148.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1148.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1148.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1149.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1149.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1149.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1149.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1149.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1150.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1150.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1150.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1150.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1150.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1151.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1151.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1151.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1151.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1151.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1152.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1152.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1152.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1152.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1152.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1153.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1153.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1153.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1153.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1153.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1154.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1154.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1154.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1154.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1154.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1155.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1155.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1155.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1155.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1155.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1156.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1156.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1156.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1156.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1156.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1157.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1157.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1157.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1157.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1157.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_1158.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1158.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1158.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1158.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1158.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1159.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1159.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1159.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1159.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1159.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1160.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1160.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1160.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1160.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1160.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1161.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1161.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1161.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1161.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1161.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1162.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1162.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1162.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1162.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1162.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1163.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1163.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1163.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1163.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1163.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1164.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1164.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1164.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1164.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1164.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1165.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1165.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1165.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1165.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1165.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1166.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1166.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1166.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1166.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1166.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1167.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1167.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1167.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1167.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1167.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1168.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1168.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1168.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1168.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1168.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1169.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1169.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1169.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1169.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1169.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1170.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1170.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1170.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1170.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1170.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1171.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1171.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1171.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1171.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1171.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1172.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1172.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1172.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1172.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1172.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1173.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1173.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1173.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1173.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1173.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1174.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1174.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1174.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1174.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1174.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1175.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1175.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1175.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1175.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1175.png,"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.",increase to 13 moves,"{""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}"
Image Description,hex_pathfinding_1176.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1176.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1176.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1176.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1176.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1177.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1177.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1177.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1177.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1177.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1178.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1178.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1178.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1178.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1178.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1179.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1179.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1179.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1179.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (24),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1179.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1180.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1180.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1180.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1180.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1180.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1181.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1181.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1181.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1181.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1181.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1182.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1182.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1182.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1182.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1182.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1183.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1183.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1183.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1183.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1183.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1184.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1184.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1184.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1184.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1184.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1185.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1185.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1185.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1185.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1185.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1186.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1186.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1186.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1186.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1186.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1187.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1187.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1187.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1187.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1187.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1188.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1188.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1188.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1188.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1188.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1189.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1189.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1189.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1189.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1189.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1190.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1190.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1190.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1190.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1190.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1191.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1191.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1191.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1191.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1191.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1192.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1192.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1192.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1192.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1192.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1193.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1193.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1193.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1193.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1193.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1194.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1194.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1194.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1194.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1194.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1195.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1195.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1195.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1195.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1195.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1196.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1196.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1196.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1196.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1196.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1197.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1197.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1197.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1197.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1197.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1198.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1198.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1198.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1198.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1198.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1199.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1199.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1199.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1199.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1199.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1200.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1200.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1200.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1200.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1200.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1201.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1201.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1201.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1201.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1201.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1202.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1202.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1202.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1202.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1202.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1203.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1203.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1203.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1203.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1203.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1204.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1204.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1204.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1204.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1204.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1205.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1205.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1205.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1205.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1205.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1206.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1206.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1206.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1206.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1206.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1207.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1207.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1207.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1207.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1207.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1208.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1208.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1208.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1208.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1208.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_1209.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1209.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1209.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1209.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1209.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1210.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1210.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1210.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1210.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1210.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1211.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1211.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1211.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1211.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1211.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1212.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1212.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1212.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1212.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1212.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1213.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1213.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1213.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1213.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1213.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1214.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1214.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1214.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1214.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1214.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1215.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1215.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1215.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1215.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1215.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1216.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1216.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1216.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1216.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1216.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1217.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1217.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1217.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1217.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1217.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1218.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1218.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1218.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1218.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1218.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1219.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1219.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1219.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1219.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1219.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1220.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1220.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1220.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1220.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1220.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1221.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1221.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1221.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1221.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1221.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1222.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1222.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1222.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1222.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1222.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1223.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1223.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1223.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1223.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1223.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1224.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1224.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1224.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1224.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1224.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1225.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1225.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1225.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1225.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1225.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1226.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1226.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1226.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1226.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1226.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1227.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1227.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1227.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1227.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1227.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1228.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1228.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1228.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1228.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1228.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1229.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1229.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1229.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1229.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1229.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1230.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1230.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1230.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1230.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1230.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1231.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1231.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1231.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1231.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1231.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1232.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1232.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1232.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1232.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1232.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1233.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1233.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1233.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1233.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (19),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1233.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1234.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1234.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1234.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1234.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1234.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1235.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1235.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1235.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1235.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1235.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1236.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1236.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1236.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1236.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1236.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1237.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1237.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1237.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1237.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1237.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1238.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1238.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1238.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1238.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1238.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1239.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1239.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1239.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1239.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1239.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1240.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1240.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1240.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1240.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1240.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1241.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1241.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1241.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1241.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1241.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1242.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1242.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1242.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1242.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1242.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1243.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1243.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1243.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1243.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1243.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1244.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1244.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1244.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1244.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1244.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1245.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1245.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1245.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1245.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1245.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1246.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1246.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1246.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1246.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1246.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1247.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1247.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1247.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1247.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1247.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_1248.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1248.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1248.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1248.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1248.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1249.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1249.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1249.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1249.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1249.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1250.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1250.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1250.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1250.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1250.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1251.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1251.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1251.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1251.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1251.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1252.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1252.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1252.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1252.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1252.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1253.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1253.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1253.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1253.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1253.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1254.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1254.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1254.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1254.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (19),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1254.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1255.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1255.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1255.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1255.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1255.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1256.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1256.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1256.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1256.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (60),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1256.png,"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.",increase to 14 moves,"{""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}"
Image Description,hex_pathfinding_1257.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1257.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1257.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1257.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1257.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1258.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1258.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1258.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1258.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1258.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1259.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1259.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1259.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1259.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1259.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1260.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1260.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1260.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1260.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1260.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1261.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1261.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1261.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1261.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1261.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1262.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1262.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1262.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1262.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1262.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1263.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1263.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1263.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1263.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1263.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1264.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1264.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1264.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1264.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1264.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1265.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1265.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1265.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1265.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1265.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_1266.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1266.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1266.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1266.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1266.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1267.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1267.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1267.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1267.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1267.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1268.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1268.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1268.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1268.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1268.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1269.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1269.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1269.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1269.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1269.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1270.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1270.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1270.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1270.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1270.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1271.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1271.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1271.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1271.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1271.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_1272.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1272.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1272.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1272.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1272.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1273.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1273.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1273.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1273.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1273.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1274.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1274.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1274.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1274.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1274.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1275.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1275.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1275.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1275.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1275.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1276.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1276.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1276.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1276.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1276.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1277.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1277.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1277.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1277.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1277.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1278.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1278.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1278.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1278.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1278.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1279.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1279.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1279.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1279.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1279.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1280.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1280.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1280.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1280.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1280.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1281.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1281.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1281.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1281.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1281.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1282.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1282.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1282.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1282.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1282.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1283.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1283.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1283.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1283.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1283.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1284.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1284.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1284.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1284.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1284.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1285.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1285.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1285.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1285.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1285.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1286.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1286.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1286.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1286.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (23),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1286.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1287.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1287.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1287.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1287.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1287.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1288.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1288.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1288.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1288.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1288.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1289.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1289.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1289.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1289.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1289.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1290.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1290.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1290.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1290.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1290.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1291.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1291.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1291.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1291.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1291.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1292.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1292.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1292.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1292.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1292.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1293.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1293.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1293.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1293.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1293.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1294.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1294.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1294.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1294.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1294.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1295.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1295.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1295.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1295.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1295.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1296.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1296.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1296.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1296.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1296.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1297.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1297.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1297.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1297.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1297.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1298.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1298.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1298.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1298.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1298.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1299.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1299.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1299.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1299.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1299.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1300.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1300.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1300.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1300.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1300.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1301.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1301.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1301.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1301.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1301.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1302.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1302.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1302.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1302.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1302.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1303.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1303.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1303.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1303.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1303.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1304.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1304.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1304.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1304.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1304.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1305.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1305.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1305.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1305.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (24),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1305.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1306.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1306.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1306.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1306.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1306.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1307.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1307.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1307.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1307.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1307.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1308.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1308.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1308.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1308.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1308.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1309.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1309.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1309.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1309.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1309.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1310.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1310.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1310.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1310.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1310.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1311.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1311.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1311.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1311.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1311.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1312.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1312.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1312.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1312.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1312.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1313.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1313.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1313.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1313.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1313.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1314.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1314.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1314.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1314.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (35),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1314.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1315.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1315.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1315.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1315.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1315.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1316.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1316.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1316.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1316.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1316.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1317.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1317.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1317.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1317.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1317.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1318.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1318.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1318.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1318.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1318.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1319.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1319.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1319.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1319.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1319.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1320.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1320.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1320.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1320.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1320.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1321.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1321.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1321.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1321.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1321.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1322.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1322.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1322.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1322.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1322.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1323.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1323.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1323.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1323.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1323.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1324.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1324.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1324.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1324.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1324.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1325.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1325.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1325.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1325.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1325.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1326.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1326.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1326.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1326.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1326.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1327.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1327.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1327.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1327.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1327.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1328.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1328.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1328.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1328.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1328.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1329.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1329.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1329.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1329.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1329.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1330.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1330.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1330.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1330.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1330.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1331.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1331.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1331.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1331.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1331.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1332.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1332.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1332.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1332.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1332.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1333.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1333.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1333.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1333.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1333.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1334.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1334.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1334.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1334.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1334.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1335.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1335.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1335.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1335.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1335.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1336.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1336.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1336.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1336.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1336.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1337.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1337.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1337.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1337.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1337.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1338.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1338.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1338.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1338.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1338.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1339.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1339.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1339.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1339.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1339.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1340.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1340.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1340.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1340.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1340.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1341.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1341.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1341.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,15,"{""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}"
Compound Reasoning,hex_pathfinding_1341.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1341.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1342.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1342.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1342.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1342.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1342.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1343.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1343.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1343.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1343.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1343.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1344.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1344.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1344.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1344.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1344.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1345.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1345.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1345.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1345.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1345.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1346.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1346.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1346.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1346.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1346.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1347.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1347.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1347.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1347.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1347.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1348.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1348.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1348.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1348.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1348.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1349.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1349.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1349.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1349.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1349.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1350.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1350.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1350.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1350.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1350.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1351.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1351.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1351.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1351.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1351.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1352.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1352.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1352.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1352.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (22),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1352.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_1353.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1353.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1353.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1353.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1353.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1354.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1354.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1354.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1354.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1354.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1355.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1355.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1355.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1355.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1355.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1356.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1356.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1356.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1356.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1356.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1357.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1357.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1357.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1357.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1357.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1358.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1358.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1358.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1358.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1358.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1359.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1359.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1359.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1359.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (41),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1359.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1360.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1360.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1360.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1360.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1360.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1361.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1361.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1361.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1361.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1361.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1362.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1362.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1362.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1362.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1362.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1363.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1363.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1363.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1363.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1363.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1364.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1364.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1364.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1364.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1364.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1365.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1365.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1365.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1365.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1365.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1366.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1366.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1366.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1366.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1366.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1367.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1367.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1367.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1367.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1367.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1368.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1368.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1368.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1368.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1368.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1369.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1369.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1369.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1369.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1369.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1370.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1370.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1370.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1370.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1370.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1371.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1371.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1371.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1371.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1371.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1372.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1372.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1372.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1372.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1372.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1373.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1373.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1373.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1373.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1373.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1374.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1374.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1374.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1374.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (40),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1374.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1375.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1375.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1375.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1375.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1375.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1376.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1376.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1376.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1376.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1376.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1377.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1377.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1377.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1377.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1377.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1378.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1378.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1378.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1378.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1378.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1379.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1379.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1379.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1379.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1379.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1380.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1380.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1380.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1380.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1380.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1381.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1381.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1381.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1381.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1381.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1382.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1382.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1382.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1382.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1382.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1383.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1383.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1383.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1383.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1383.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1384.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1384.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1384.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1384.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1384.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1385.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1385.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1385.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1385.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1385.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1386.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1386.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1386.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1386.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (24),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1386.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1387.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1387.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1387.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1387.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1387.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1388.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1388.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1388.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1388.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1388.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1389.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1389.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1389.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1389.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1389.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1390.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1390.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1390.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1390.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1390.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1391.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1391.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1391.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1391.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1391.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1392.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1392.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1392.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1392.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1392.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1393.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1393.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1393.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1393.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1393.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1394.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1394.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1394.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1394.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1394.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1395.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1395.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1395.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1395.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (36),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1395.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1396.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1396.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1396.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1396.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1396.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1397.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1397.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1397.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1397.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1397.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1398.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1398.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1398.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1398.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1398.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1399.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1399.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1399.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1399.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1399.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1400.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1400.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1400.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1400.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1400.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1401.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1401.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1401.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1401.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1401.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1402.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1402.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1402.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1402.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1402.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1403.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1403.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1403.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1403.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1403.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1404.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1404.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1404.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1404.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1404.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1405.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1405.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1405.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1405.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1405.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1406.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1406.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1406.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1406.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1406.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1407.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1407.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1407.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1407.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1407.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1408.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1408.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1408.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1408.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1408.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1409.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1409.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1409.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1409.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1409.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1410.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1410.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1410.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1410.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (27),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1410.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1411.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1411.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1411.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1411.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1411.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1412.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1412.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1412.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1412.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1412.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1413.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1413.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1413.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1413.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1413.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1414.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1414.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1414.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1414.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1414.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1415.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1415.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1415.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1415.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1415.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1416.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1416.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1416.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1416.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1416.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1417.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1417.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1417.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1417.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1417.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1418.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1418.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1418.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1418.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1418.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1419.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1419.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1419.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1419.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1419.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1420.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1420.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1420.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1420.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1420.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1421.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1421.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1421.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1421.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1421.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1422.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1422.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1422.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1422.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1422.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1423.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1423.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1423.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1423.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1423.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1424.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1424.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1424.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1424.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1424.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1425.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1425.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1425.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1425.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1425.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1426.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1426.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1426.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1426.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1426.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1427.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1427.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1427.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1427.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1427.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1428.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1428.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1428.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1428.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1428.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1429.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1429.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1429.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1429.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1429.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1430.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1430.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1430.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1430.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1430.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1431.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1431.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1431.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1431.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1431.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1432.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1432.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1432.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1432.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1432.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1433.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1433.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1433.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1433.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1433.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1434.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1434.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1434.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1434.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (33),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1434.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1435.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1435.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1435.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1435.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1435.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1436.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1436.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1436.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1436.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1436.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1437.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1437.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1437.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1437.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (45),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1437.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1438.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1438.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1438.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1438.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1438.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1439.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1439.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1439.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1439.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1439.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1440.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1440.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1440.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1440.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1440.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1441.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1441.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1441.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1441.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1441.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1442.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1442.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1442.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1442.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1442.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1443.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1443.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1443.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1443.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1443.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1444.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1444.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1444.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1444.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1444.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1445.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1445.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1445.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1445.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1445.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1446.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1446.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1446.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1446.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1446.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1447.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1447.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1447.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1447.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1447.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1448.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1448.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1448.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1448.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1448.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1449.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1449.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1449.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1449.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (25),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1449.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1450.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1450.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1450.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1450.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1450.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1451.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1451.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1451.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1451.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1451.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1452.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1452.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1452.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1452.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1452.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1453.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1453.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1453.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1453.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1453.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1454.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1454.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1454.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1454.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1454.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1455.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1455.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1455.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1455.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1455.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1456.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1456.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1456.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1456.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1456.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1457.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1457.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1457.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1457.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1457.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1458.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1458.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1458.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1458.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1458.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1459.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1459.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1459.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1459.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1459.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1460.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1460.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1460.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1460.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1460.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1461.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1461.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1461.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1461.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1461.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1462.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1462.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1462.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1462.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1462.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1463.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1463.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1463.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1463.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1463.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1464.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1464.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1464.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1464.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1464.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1465.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1465.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1465.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1465.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1465.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1466.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1466.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1466.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1466.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1466.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1467.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1467.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1467.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1467.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1467.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1468.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1468.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1468.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1468.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1468.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1469.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1469.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1469.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1469.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1469.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1470.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1470.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1470.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1470.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1470.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1471.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1471.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1471.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1471.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1471.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1472.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1472.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1472.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1472.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1472.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1473.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1473.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1473.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1473.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1473.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1474.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1474.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1474.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1474.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1474.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1475.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1475.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1475.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1475.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1475.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1476.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1476.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1476.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1476.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1476.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1477.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1477.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1477.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1477.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1477.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1478.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1478.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1478.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1478.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1478.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1479.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1479.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1479.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1479.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1479.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1480.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1480.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1480.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1480.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1480.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1481.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1481.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1481.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1481.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1481.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1482.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1482.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1482.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1482.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1482.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1483.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1483.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1483.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1483.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1483.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1484.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1484.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1484.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1484.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1484.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1485.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1485.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1485.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1485.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1485.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1486.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1486.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1486.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1486.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1486.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1487.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1487.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1487.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1487.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1487.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1488.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1488.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1488.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1488.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (23),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1488.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1489.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1489.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1489.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1489.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1489.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1490.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1490.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1490.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1490.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1490.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1491.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1491.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1491.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1491.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1491.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1492.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1492.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1492.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1492.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1492.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1493.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1493.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1493.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1493.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1493.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1494.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1494.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1494.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1494.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1494.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1495.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1495.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1495.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1495.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1495.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1496.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1496.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1496.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1496.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1496.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1497.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1497.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1497.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1497.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1497.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1498.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1498.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1498.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1498.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1498.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1499.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1499.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1499.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1499.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1499.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1500.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1500.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1500.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1500.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1500.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1501.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1501.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1501.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1501.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1501.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1502.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1502.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1502.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1502.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1502.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1503.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1503.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1503.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1503.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1503.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1504.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1504.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1504.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1504.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1504.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1505.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1505.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1505.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1505.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1505.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1506.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1506.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1506.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1506.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1506.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1507.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1507.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1507.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1507.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1507.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1508.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1508.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1508.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1508.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1508.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1509.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1509.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1509.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1509.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1509.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1510.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1510.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1510.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1510.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1510.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1511.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1511.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1511.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1511.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1511.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1512.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1512.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1512.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1512.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1512.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1513.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1513.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1513.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1513.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1513.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1514.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1514.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1514.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1514.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1514.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1515.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1515.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1515.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1515.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1515.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1516.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1516.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1516.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1516.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1516.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1517.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1517.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1517.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1517.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1517.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1518.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1518.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1518.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1518.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1518.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1519.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1519.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1519.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1519.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1519.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1520.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1520.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1520.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1520.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1520.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1521.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1521.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1521.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1521.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1521.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1522.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1522.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1522.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1522.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1522.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1523.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1523.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1523.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1523.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1523.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1524.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1524.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1524.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1524.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1524.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1525.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1525.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1525.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1525.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1525.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1526.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1526.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1526.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1526.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1526.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1527.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1527.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1527.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1527.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1527.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1528.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1528.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1528.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1528.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1528.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1529.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1529.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1529.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1529.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1529.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1530.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1530.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1530.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1530.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1530.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1531.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1531.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1531.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1531.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1531.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1532.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1532.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1532.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1532.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1532.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1533.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1533.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1533.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1533.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (35),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1533.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1534.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1534.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1534.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1534.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1534.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1535.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1535.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1535.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1535.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1535.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1536.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1536.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1536.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1536.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1536.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1537.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1537.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1537.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1537.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1537.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1538.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1538.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1538.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1538.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1538.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1539.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1539.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1539.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1539.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1539.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1540.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1540.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1540.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1540.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1540.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1541.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1541.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1541.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1541.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1541.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1542.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1542.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1542.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1542.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1542.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1543.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1543.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1543.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1543.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1543.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1544.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1544.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1544.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1544.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1544.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1545.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1545.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1545.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1545.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1545.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1546.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1546.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1546.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1546.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1546.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1547.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1547.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1547.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1547.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1547.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1548.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1548.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1548.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1548.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1548.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1549.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1549.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1549.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1549.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1549.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1550.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1550.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1550.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1550.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1550.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1551.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1551.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1551.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1551.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1551.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1552.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1552.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1552.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1552.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1552.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1553.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1553.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1553.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1553.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1553.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1554.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1554.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1554.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1554.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1554.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1555.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1555.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1555.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1555.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1555.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1556.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1556.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1556.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1556.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1556.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1557.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1557.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1557.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1557.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1557.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1558.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1558.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1558.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1558.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1558.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1559.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1559.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1559.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1559.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1559.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1560.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1560.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1560.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1560.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1560.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1561.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1561.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1561.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1561.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1561.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1562.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1562.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1562.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1562.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1562.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1563.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1563.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1563.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1563.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1563.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1564.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1564.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1564.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1564.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1564.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1565.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1565.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1565.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1565.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1565.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1566.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1566.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1566.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1566.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1566.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1567.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1567.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1567.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1567.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1567.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1568.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1568.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1568.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1568.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1568.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1569.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1569.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1569.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1569.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1569.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1570.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1570.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1570.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1570.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1570.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1571.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1571.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1571.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1571.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1571.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1572.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1572.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1572.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1572.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1572.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1573.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1573.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1573.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1573.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1573.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1574.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1574.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1574.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1574.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1574.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1575.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1575.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1575.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1575.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1575.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1576.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1576.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1576.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1576.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1576.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1577.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1577.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1577.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1577.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1577.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1578.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1578.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1578.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,14,"{""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}"
Compound Reasoning,hex_pathfinding_1578.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1578.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1579.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1579.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1579.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1579.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1579.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1580.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1580.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1580.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1580.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1580.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1581.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1581.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1581.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1581.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1581.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1582.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1582.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1582.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1582.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1582.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1583.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1583.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1583.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1583.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1583.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1584.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1584.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1584.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1584.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1584.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1585.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1585.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1585.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1585.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1585.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1586.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1586.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1586.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1586.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1586.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1587.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1587.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1587.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1587.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1587.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1588.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1588.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1588.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1588.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1588.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1589.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1589.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1589.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1589.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1589.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1590.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1590.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1590.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1590.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1590.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1591.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1591.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1591.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1591.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1591.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1592.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1592.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1592.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1592.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1592.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1593.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1593.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1593.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1593.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1593.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1594.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1594.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1594.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1594.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1594.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1595.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1595.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1595.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1595.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1595.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1596.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1596.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1596.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1596.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1596.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1597.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1597.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1597.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1597.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1597.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1598.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1598.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1598.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1598.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1598.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_1599.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1599.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1599.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1599.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1599.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1600.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1600.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1600.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1600.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1600.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1601.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1601.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1601.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1601.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1601.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1602.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1602.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1602.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1602.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (31),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1602.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1603.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1603.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1603.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1603.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1603.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1604.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1604.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1604.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1604.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1604.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1605.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1605.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1605.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1605.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1605.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1606.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1606.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1606.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1606.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1606.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1607.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1607.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1607.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1607.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1607.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1608.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1608.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1608.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1608.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1608.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1609.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1609.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1609.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1609.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1609.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1610.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1610.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1610.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1610.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1610.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1611.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1611.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1611.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1611.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1611.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1612.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1612.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1612.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1612.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1612.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1613.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1613.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1613.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1613.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1613.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1614.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1614.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1614.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1614.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1614.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1615.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1615.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1615.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1615.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1615.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1616.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1616.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1616.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1616.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1616.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1617.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1617.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1617.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1617.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1617.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1618.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1618.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1618.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1618.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1618.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1619.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1619.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1619.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1619.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1619.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1620.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1620.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1620.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1620.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1620.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1621.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1621.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1621.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1621.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1621.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1622.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1622.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1622.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1622.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1622.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1623.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1623.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1623.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1623.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1623.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1624.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1624.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1624.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1624.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1624.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1625.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1625.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1625.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1625.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1625.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1626.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1626.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1626.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,16,"{""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}"
Compound Reasoning,hex_pathfinding_1626.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1626.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1627.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1627.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1627.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1627.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1627.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1628.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1628.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1628.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1628.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1628.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1629.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1629.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1629.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1629.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (64),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1629.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1630.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1630.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1630.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1630.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1630.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1631.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1631.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1631.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1631.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1631.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1632.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1632.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1632.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1632.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1632.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1633.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1633.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1633.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1633.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1633.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1634.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1634.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1634.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1634.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1634.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1635.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1635.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1635.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1635.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1635.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1636.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1636.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1636.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1636.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1636.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1637.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1637.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1637.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1637.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1637.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1638.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1638.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1638.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1638.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1638.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1639.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1639.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1639.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1639.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1639.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1640.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1640.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1640.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1640.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1640.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1641.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1641.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1641.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1641.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1641.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1642.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1642.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1642.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1642.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1642.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1643.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1643.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1643.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1643.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1643.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1644.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1644.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1644.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1644.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1644.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1645.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1645.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1645.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1645.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1645.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1646.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1646.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1646.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1646.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1646.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1647.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1647.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1647.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1647.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1647.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1648.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1648.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1648.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1648.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1648.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1649.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1649.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1649.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1649.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1649.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1650.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1650.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1650.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1650.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1650.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1651.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1651.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1651.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1651.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1651.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1652.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1652.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1652.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1652.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1652.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1653.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1653.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1653.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1653.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1653.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1654.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1654.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1654.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1654.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1654.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1655.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1655.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1655.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1655.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1655.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1656.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1656.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1656.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1656.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1656.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1657.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1657.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1657.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1657.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1657.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1658.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1658.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1658.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1658.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1658.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1659.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1659.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1659.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1659.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1659.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1660.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1660.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1660.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1660.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1660.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1661.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1661.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1661.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1661.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1661.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1662.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1662.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1662.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1662.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1662.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1663.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1663.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1663.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1663.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1663.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1664.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1664.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1664.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1664.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1664.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1665.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1665.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1665.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1665.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1665.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1666.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1666.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1666.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1666.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1666.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1667.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1667.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1667.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1667.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1667.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1668.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1668.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1668.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1668.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1668.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1669.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1669.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1669.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1669.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1669.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1670.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1670.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1670.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1670.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1670.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1671.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1671.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1671.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1671.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1671.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1672.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1672.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1672.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1672.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1672.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1673.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1673.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1673.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1673.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1673.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1674.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1674.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1674.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1674.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1674.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1675.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1675.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1675.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1675.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1675.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1676.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1676.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1676.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1676.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1676.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1677.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1677.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1677.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1677.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1677.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1678.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1678.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1678.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1678.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1678.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1679.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1679.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1679.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1679.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1679.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1680.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1680.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1680.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1680.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1680.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1681.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1681.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1681.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1681.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1681.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1682.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1682.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1682.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1682.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1682.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1683.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1683.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1683.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1683.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1683.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1684.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1684.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1684.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1684.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1684.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1685.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1685.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1685.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1685.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1685.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1686.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1686.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1686.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1686.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1686.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1687.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1687.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1687.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1687.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1687.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1688.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1688.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1688.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1688.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1688.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_1689.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1689.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1689.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1689.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1689.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1690.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1690.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1690.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1690.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1690.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1691.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1691.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1691.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1691.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1691.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1692.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1692.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1692.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1692.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1692.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1693.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1693.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1693.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1693.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1693.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1694.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1694.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1694.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1694.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1694.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1695.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1695.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1695.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1695.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1695.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1696.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1696.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1696.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1696.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1696.png,"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.",stay the same (8 moves),"{""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}"
Image Description,hex_pathfinding_1697.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1697.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1697.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1697.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1697.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1698.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1698.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1698.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1698.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1698.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1699.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1699.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1699.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1699.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1699.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1700.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1700.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1700.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1700.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1700.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1701.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1701.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1701.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1701.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1701.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1702.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1702.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1702.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1702.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1702.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1703.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1703.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1703.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1703.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1703.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1704.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1704.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1704.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1704.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1704.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1705.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1705.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1705.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1705.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1705.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1706.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1706.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1706.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1706.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1706.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1707.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1707.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1707.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1707.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1707.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1708.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1708.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1708.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1708.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1708.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1709.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1709.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1709.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1709.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1709.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1710.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1710.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1710.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1710.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1710.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1711.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1711.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1711.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1711.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1711.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1712.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1712.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1712.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1712.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1712.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1713.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1713.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1713.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1713.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1713.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1714.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1714.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1714.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1714.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1714.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1715.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1715.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1715.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1715.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1715.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_1716.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1716.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1716.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1716.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1716.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1717.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1717.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1717.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1717.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1717.png,"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.",stay the same (8 moves),"{""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}"
Image Description,hex_pathfinding_1718.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1718.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1718.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1718.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1718.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1719.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1719.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1719.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1719.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1719.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1720.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1720.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1720.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1720.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1720.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1721.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1721.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1721.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1721.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1721.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1722.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1722.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1722.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1722.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1722.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1723.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1723.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1723.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1723.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1723.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1724.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1724.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1724.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1724.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1724.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1725.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1725.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1725.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1725.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1725.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1726.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1726.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1726.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1726.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1726.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1727.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1727.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1727.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1727.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1727.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1728.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1728.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1728.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1728.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1728.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1729.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1729.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1729.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1729.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1729.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1730.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1730.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1730.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1730.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1730.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1731.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1731.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1731.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1731.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1731.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1732.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1732.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1732.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1732.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1732.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1733.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1733.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1733.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1733.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1733.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1734.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1734.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1734.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1734.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1734.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1735.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1735.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1735.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1735.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1735.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1736.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1736.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1736.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1736.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1736.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1737.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1737.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1737.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1737.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1737.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1738.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1738.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1738.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1738.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1738.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1739.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1739.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1739.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1739.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1739.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1740.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1740.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1740.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1740.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1740.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1741.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1741.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1741.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1741.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1741.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1742.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1742.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1742.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1742.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1742.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1743.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1743.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1743.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1743.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1743.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1744.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1744.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1744.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1744.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1744.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1745.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1745.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1745.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1745.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1745.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1746.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1746.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1746.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1746.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1746.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1747.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1747.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1747.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1747.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1747.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1748.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1748.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1748.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1748.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1748.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1749.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1749.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1749.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1749.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1749.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1750.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1750.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1750.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1750.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1750.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1751.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1751.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1751.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1751.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1751.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1752.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1752.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1752.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1752.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1752.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1753.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1753.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1753.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1753.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1753.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1754.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1754.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1754.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1754.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1754.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1755.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1755.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1755.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1755.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1755.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1756.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1756.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1756.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1756.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1756.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1757.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1757.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1757.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1757.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1757.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1758.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1758.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1758.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1758.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1758.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1759.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1759.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1759.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1759.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1759.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1760.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1760.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1760.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1760.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1760.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1761.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1761.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1761.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1761.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1761.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1762.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1762.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1762.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1762.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1762.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1763.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1763.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1763.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1763.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1763.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1764.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1764.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1764.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1764.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1764.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1765.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1765.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1765.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1765.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1765.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1766.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1766.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1766.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1766.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1766.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1767.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1767.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1767.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1767.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (32),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1767.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1768.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1768.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1768.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1768.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1768.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1769.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1769.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1769.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1769.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1769.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1770.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1770.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1770.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1770.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1770.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1771.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1771.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1771.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1771.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1771.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1772.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1772.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1772.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1772.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1772.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1773.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1773.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1773.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1773.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1773.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1774.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1774.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1774.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1774.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1774.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1775.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1775.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1775.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1775.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1775.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1776.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1776.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1776.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1776.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1776.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1777.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1777.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1777.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1777.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1777.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1778.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1778.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1778.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1778.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1778.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1779.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1779.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1779.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1779.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1779.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1780.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1780.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1780.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1780.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1780.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1781.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1781.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1781.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1781.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1781.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1782.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1782.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1782.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1782.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1782.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1783.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1783.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1783.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1783.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1783.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1784.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1784.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1784.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1784.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1784.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1785.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1785.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1785.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1785.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1785.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1786.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1786.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1786.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1786.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1786.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1787.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1787.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1787.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1787.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1787.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1788.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1788.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1788.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1788.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1788.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1789.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1789.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1789.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1789.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1789.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1790.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1790.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1790.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1790.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1790.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1791.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1791.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1791.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1791.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1791.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1792.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1792.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1792.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1792.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1792.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1793.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1793.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1793.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1793.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1793.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1794.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1794.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1794.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1794.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (24),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1794.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1795.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1795.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1795.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1795.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1795.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1796.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1796.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1796.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1796.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1796.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1797.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1797.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1797.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1797.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1797.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1798.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1798.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1798.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1798.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1798.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1799.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1799.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1799.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1799.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1799.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1800.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1800.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1800.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1800.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1800.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1801.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1801.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1801.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1801.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1801.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1802.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1802.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1802.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1802.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1802.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1803.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1803.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1803.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1803.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1803.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1804.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1804.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1804.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1804.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1804.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1805.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1805.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1805.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1805.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1805.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1806.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1806.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1806.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1806.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1806.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1807.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1807.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1807.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1807.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1807.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1808.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1808.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1808.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1808.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1808.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1809.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1809.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1809.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1809.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1809.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1810.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1810.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1810.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1810.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1810.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1811.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1811.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1811.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1811.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1811.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1812.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1812.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1812.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1812.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1812.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1813.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1813.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1813.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1813.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1813.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1814.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1814.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1814.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1814.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1814.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1815.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1815.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1815.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1815.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1815.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1816.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1816.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1816.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1816.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1816.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1817.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1817.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1817.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1817.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1817.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1818.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1818.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1818.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1818.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (34),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1818.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1819.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1819.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1819.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1819.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1819.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1820.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1820.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1820.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1820.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1820.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1821.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1821.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1821.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1821.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1821.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1822.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1822.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1822.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1822.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1822.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1823.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1823.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1823.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1823.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1823.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1824.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1824.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1824.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1824.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1824.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1825.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1825.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1825.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1825.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1825.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1826.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1826.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1826.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1826.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1826.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1827.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1827.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1827.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1827.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1827.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1828.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1828.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1828.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1828.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1828.png,"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.",stay the same (8 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1829.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1829.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1829.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1829.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1829.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1830.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1830.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1830.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1830.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1830.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1831.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1831.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1831.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1831.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1831.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1832.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1832.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1832.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1832.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1832.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1833.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1833.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1833.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1833.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1833.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1834.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1834.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1834.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1834.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1834.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1835.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1835.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1835.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1835.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1835.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1836.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1836.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1836.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1836.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1836.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1837.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1837.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1837.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1837.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1837.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1838.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1838.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1838.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1838.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1838.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1839.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1839.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1839.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1839.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (28),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1839.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1840.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1840.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1840.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1840.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1840.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1841.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1841.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1841.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1841.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (27),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1841.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_1842.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1842.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1842.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1842.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1842.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1843.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1843.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1843.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1843.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1843.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1844.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1844.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1844.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1844.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1844.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1845.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1845.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1845.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1845.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1845.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1846.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1846.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1846.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1846.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1846.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1847.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1847.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1847.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1847.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1847.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1848.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1848.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1848.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1848.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (35),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1848.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1849.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1849.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1849.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1849.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1849.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1850.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1850.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1850.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1850.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1850.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1851.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1851.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1851.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1851.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1851.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1852.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1852.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1852.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1852.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1852.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1853.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1853.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1853.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1853.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1853.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1854.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1854.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1854.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1854.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1854.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1855.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1855.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1855.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1855.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1855.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1856.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1856.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1856.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1856.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1856.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1857.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1857.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1857.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1857.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1857.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1858.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1858.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1858.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1858.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1858.png,"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.",stay the same (8 moves),"{""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}"
Image Description,hex_pathfinding_1859.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1859.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1859.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1859.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1859.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1860.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1860.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1860.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1860.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1860.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1861.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1861.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1861.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1861.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1861.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1862.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1862.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1862.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1862.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1862.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1863.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1863.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1863.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1863.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1863.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1864.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1864.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1864.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1864.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1864.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1865.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1865.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1865.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1865.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1865.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1866.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1866.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1866.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1866.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1866.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1867.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1867.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1867.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1867.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1867.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1868.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1868.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1868.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1868.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1868.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1869.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1869.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1869.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1869.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1869.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1870.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1870.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1870.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1870.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1870.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1871.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1871.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1871.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1871.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1871.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1872.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1872.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1872.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1872.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1872.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1873.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1873.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1873.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1873.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1873.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1874.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1874.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1874.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1874.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1874.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1875.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1875.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1875.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1875.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1875.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1876.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1876.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1876.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1876.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1876.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1877.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1877.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1877.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1877.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1877.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1878.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1878.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1878.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1878.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1878.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1879.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1879.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1879.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1879.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1879.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1880.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1880.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1880.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1880.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1880.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1881.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1881.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1881.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1881.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1881.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1882.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1882.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1882.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1882.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1882.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1883.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1883.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1883.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1883.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1883.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1884.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1884.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1884.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1884.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1884.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1885.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1885.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1885.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1885.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1885.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1886.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1886.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1886.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1886.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1886.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1887.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1887.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1887.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1887.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1887.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1888.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1888.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1888.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1888.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1888.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1889.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1889.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1889.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1889.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1889.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1890.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1890.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1890.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1890.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1890.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1891.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1891.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1891.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1891.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1891.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1892.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1892.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1892.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1892.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1892.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1893.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1893.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1893.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1893.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1893.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1894.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1894.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1894.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1894.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1894.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1895.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1895.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1895.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1895.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1895.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1896.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1896.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1896.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1896.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1896.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1897.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1897.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1897.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1897.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1897.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1898.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1898.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1898.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1898.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1898.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1899.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1899.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1899.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1899.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1899.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1900.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1900.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1900.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1900.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1900.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1901.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1901.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1901.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1901.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1901.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1902.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1902.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1902.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1902.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1902.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1903.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1903.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1903.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1903.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1903.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1904.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1904.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1904.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1904.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1904.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1905.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1905.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1905.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1905.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1905.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1906.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1906.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1906.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1906.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1906.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1907.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1907.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1907.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1907.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1907.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1908.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1908.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1908.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1908.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1908.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1909.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1909.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1909.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1909.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1909.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1910.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1910.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1910.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1910.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1910.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1911.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1911.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1911.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1911.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1911.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1912.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1912.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1912.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1912.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1912.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1913.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1913.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1913.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1913.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1913.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1914.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1914.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1914.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1914.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1914.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1915.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1915.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1915.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1915.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1915.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1916.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1916.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1916.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1916.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1916.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1917.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1917.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1917.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1917.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (23),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1917.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1918.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1918.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1918.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1918.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1918.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1919.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1919.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1919.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1919.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1919.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1920.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1920.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1920.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1920.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1920.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1921.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1921.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1921.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1921.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1921.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1922.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1922.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1922.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1922.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1922.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1923.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1923.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1923.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1923.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1923.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1924.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1924.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1924.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1924.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1924.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1925.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1925.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1925.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1925.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1925.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_1926.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1926.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1926.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1926.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1926.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1927.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1927.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1927.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1927.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1927.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1928.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1928.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1928.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1928.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1928.png,"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.",increase to 16 moves,"{""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}"
Image Description,hex_pathfinding_1929.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1929.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1929.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1929.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1929.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1930.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1930.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1930.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1930.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1930.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1931.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1931.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1931.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1931.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1931.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1932.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1932.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1932.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1932.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1932.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1933.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1933.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1933.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1933.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1933.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1934.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1934.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1934.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1934.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1934.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1935.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1935.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1935.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1935.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (34),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1935.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1936.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1936.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1936.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1936.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1936.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1937.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1937.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1937.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1937.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1937.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1938.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1938.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1938.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1938.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1938.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1939.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1939.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1939.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1939.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1939.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1940.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1940.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1940.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1940.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1940.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1941.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1941.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1941.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1941.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1941.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1942.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1942.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1942.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1942.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1942.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1943.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1943.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1943.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1943.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1943.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1944.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1944.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1944.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1944.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1944.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1945.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1945.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1945.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1945.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1945.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1946.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1946.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1946.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1946.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1946.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1947.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1947.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1947.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1947.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1947.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1948.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1948.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1948.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1948.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1948.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1949.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1949.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1949.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1949.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1949.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1950.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1950.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1950.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1950.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1950.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1951.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1951.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1951.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1951.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1951.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1952.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1952.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1952.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1952.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1952.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_1953.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1953.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1953.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1953.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1953.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1954.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1954.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1954.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1954.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1954.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1955.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1955.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1955.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1955.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1955.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1956.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1956.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1956.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1956.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1956.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1957.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1957.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1957.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1957.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1957.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_1958.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1958.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1958.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1958.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1958.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1959.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1959.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1959.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1959.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1959.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1960.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1960.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1960.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1960.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1960.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1961.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1961.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1961.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1961.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1961.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1962.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1962.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1962.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_1962.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1962.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1963.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1963.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1963.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1963.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1963.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1964.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1964.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1964.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1964.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1964.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_1965.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1965.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1965.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1965.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1965.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1966.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1966.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1966.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1966.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1966.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1967.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1967.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1967.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1967.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1967.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1968.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1968.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1968.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1968.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1968.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1969.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1969.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1969.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1969.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1969.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1970.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1970.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1970.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1970.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1970.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1971.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1971.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1971.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1971.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1971.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1972.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1972.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1972.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1972.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1972.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1973.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1973.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1973.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1973.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1973.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1974.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1974.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1974.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1974.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1974.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1975.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1975.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1975.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_1975.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1975.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_1976.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1976.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1976.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1976.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1976.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1977.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1977.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1977.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_1977.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1977.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1978.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1978.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1978.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1978.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1978.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1979.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1979.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1979.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1979.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1979.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1980.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1980.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1980.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_1980.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1980.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1981.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1981.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1981.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1981.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1981.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1982.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1982.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1982.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1982.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1982.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1983.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1983.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1983.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1983.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1983.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1984.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1984.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1984.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1984.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1984.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1985.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1985.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1985.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_1985.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1985.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_1986.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1986.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1986.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1986.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1986.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1987.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1987.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1987.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1987.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1987.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1988.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1988.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1988.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1988.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1988.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_1989.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1989.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1989.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_1989.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1989.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1990.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1990.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1990.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1990.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1990.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_1991.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1991.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1991.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1991.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1991.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1992.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1992.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1992.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_1992.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (27),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1992.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1993.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1993.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1993.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1993.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1993.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_1994.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1994.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1994.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1994.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1994.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_1995.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1995.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1995.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1995.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1995.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1996.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1996.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1996.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_1996.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1996.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_1997.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1997.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_1997.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_1997.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1997.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_1998.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_1998.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_1998.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_1998.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1998.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_1999.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_1999.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_1999.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_1999.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_1999.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2000.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2000.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2000.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2000.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2000.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2001.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2001.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2001.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2001.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2001.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2002.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2002.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2002.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2002.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2002.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2003.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2003.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2003.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2003.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2003.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2004.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2004.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2004.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2004.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2004.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2005.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2005.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2005.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2005.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2005.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2006.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2006.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2006.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2006.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2006.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2007.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2007.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2007.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2007.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2007.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2008.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2008.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2008.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2008.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2008.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2009.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2009.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2009.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2009.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2009.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2010.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2010.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2010.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2010.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2010.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2011.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2011.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2011.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2011.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2011.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2012.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2012.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2012.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2012.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2012.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2013.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2013.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2013.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2013.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2013.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2014.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2014.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2014.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2014.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2014.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2015.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2015.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2015.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2015.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2015.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2016.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2016.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2016.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2016.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2016.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2017.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2017.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2017.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2017.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2017.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2018.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2018.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2018.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2018.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2018.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2019.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2019.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2019.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2019.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2019.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2020.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2020.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2020.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2020.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2020.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2021.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2021.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2021.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2021.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2021.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2022.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2022.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2022.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2022.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2022.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2023.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2023.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2023.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2023.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2023.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2024.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2024.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2024.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2024.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2024.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2025.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2025.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2025.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2025.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2025.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2026.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2026.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2026.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2026.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2026.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2027.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2027.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2027.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2027.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2027.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2028.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2028.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2028.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2028.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (28),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2028.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2029.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2029.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2029.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2029.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2029.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2030.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2030.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2030.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2030.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2030.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2031.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2031.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2031.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2031.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2031.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2032.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2032.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2032.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2032.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2032.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2033.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2033.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2033.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2033.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2033.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2034.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2034.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2034.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2034.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2034.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2035.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2035.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2035.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2035.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2035.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2036.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2036.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2036.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2036.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2036.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2037.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2037.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2037.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2037.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2037.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2038.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2038.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2038.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2038.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2038.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2039.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2039.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2039.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2039.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2039.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2040.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2040.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2040.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2040.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2040.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2041.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2041.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2041.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2041.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2041.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2042.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2042.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2042.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2042.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2042.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2043.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2043.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2043.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2043.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2043.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2044.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2044.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2044.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2044.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2044.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2045.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2045.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2045.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2045.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2045.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2046.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2046.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2046.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2046.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (22),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2046.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2047.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2047.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2047.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2047.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2047.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2048.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2048.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2048.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2048.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2048.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2049.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2049.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2049.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2049.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2049.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2050.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2050.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2050.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2050.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2050.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2051.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2051.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2051.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2051.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2051.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2052.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2052.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2052.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2052.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2052.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2053.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2053.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2053.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2053.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2053.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2054.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2054.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2054.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2054.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2054.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2055.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2055.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2055.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2055.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2055.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2056.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2056.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2056.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2056.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2056.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2057.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2057.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2057.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2057.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2057.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2058.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2058.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2058.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2058.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2058.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2059.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2059.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2059.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2059.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2059.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2060.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2060.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2060.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2060.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2060.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2061.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2061.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2061.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2061.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2061.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2062.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2062.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2062.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2062.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2062.png,"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.",stay the same (8 moves),"{""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}"
Image Description,hex_pathfinding_2063.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2063.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2063.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2063.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2063.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2064.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2064.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2064.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2064.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2064.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2065.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2065.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2065.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2065.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2065.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2066.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2066.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2066.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2066.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2066.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2067.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2067.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2067.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2067.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2067.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2068.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2068.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2068.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2068.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2068.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2069.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2069.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2069.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2069.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2069.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2070.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2070.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2070.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2070.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2070.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2071.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2071.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2071.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2071.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2071.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2072.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2072.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2072.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2072.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2072.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2073.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2073.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2073.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2073.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2073.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2074.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2074.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2074.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2074.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2074.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2075.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2075.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2075.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2075.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2075.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2076.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2076.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2076.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2076.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2076.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2077.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2077.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2077.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2077.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2077.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2078.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2078.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2078.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2078.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2078.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2079.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2079.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2079.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2079.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2079.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2080.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2080.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2080.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2080.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2080.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2081.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2081.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2081.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2081.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2081.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2082.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2082.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2082.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2082.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2082.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2083.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2083.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2083.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2083.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2083.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2084.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2084.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2084.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2084.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2084.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2085.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2085.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2085.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2085.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2085.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2086.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2086.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2086.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2086.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2086.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2087.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2087.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2087.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2087.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2087.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2088.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2088.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2088.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2088.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2088.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2089.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2089.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2089.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2089.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2089.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2090.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2090.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2090.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2090.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (19),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2090.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2091.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2091.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2091.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2091.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2091.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2092.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2092.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2092.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2092.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2092.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2093.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2093.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2093.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2093.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2093.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2094.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2094.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2094.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2094.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2094.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2095.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2095.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2095.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2095.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2095.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2096.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2096.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2096.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2096.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2096.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2097.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2097.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2097.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2097.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2097.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2098.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2098.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2098.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2098.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2098.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2099.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2099.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2099.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2099.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2099.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2100.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2100.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2100.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2100.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2100.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2101.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2101.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2101.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2101.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2101.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2102.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2102.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2102.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2102.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2102.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2103.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2103.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2103.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2103.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2103.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2104.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2104.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2104.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2104.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2104.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2105.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2105.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2105.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2105.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2105.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2106.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2106.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2106.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_2106.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2106.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2107.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2107.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2107.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2107.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2107.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2108.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2108.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2108.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2108.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2108.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2109.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2109.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2109.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2109.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2109.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2110.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2110.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2110.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2110.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2110.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2111.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2111.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2111.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2111.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2111.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2112.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2112.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2112.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2112.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2112.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2113.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2113.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2113.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2113.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2113.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2114.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2114.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2114.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2114.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2114.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2115.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2115.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2115.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2115.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2115.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2116.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2116.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2116.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2116.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2116.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2117.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2117.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2117.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2117.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2117.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2118.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2118.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2118.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2118.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2118.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2119.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2119.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2119.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2119.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2119.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2120.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2120.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2120.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2120.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2120.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2121.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2121.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2121.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2121.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2121.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2122.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2122.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2122.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2122.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2122.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2123.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2123.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2123.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2123.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2123.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2124.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2124.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2124.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2124.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2124.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2125.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2125.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2125.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2125.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2125.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2126.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2126.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2126.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2126.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2126.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2127.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2127.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2127.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2127.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2127.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2128.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2128.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2128.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2128.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2128.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2129.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2129.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2129.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2129.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2129.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2130.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2130.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2130.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2130.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2130.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2131.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2131.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2131.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2131.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2131.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2132.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2132.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2132.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2132.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2132.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2133.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2133.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2133.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2133.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2133.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2134.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2134.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2134.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2134.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2134.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2135.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2135.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2135.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2135.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2135.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2136.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2136.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2136.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2136.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2136.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2137.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2137.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2137.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2137.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2137.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2138.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2138.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2138.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2138.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2138.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2139.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2139.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2139.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2139.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (23),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2139.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2140.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2140.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2140.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2140.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2140.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2141.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2141.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2141.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2141.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2141.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2142.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2142.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2142.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2142.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2142.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2143.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2143.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2143.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2143.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2143.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2144.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2144.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2144.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2144.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2144.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2145.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2145.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2145.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2145.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (50),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2145.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2146.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2146.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2146.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2146.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2146.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2147.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2147.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2147.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2147.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2147.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2148.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2148.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2148.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2148.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2148.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2149.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2149.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2149.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2149.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2149.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2150.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2150.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2150.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2150.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2150.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2151.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2151.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2151.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2151.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2151.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2152.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2152.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2152.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2152.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2152.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2153.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2153.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2153.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2153.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2153.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2154.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2154.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2154.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2154.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2154.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2155.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2155.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2155.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2155.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2155.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2156.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2156.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2156.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2156.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2156.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2157.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2157.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2157.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2157.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2157.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2158.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2158.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2158.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2158.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2158.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2159.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2159.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2159.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2159.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2159.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2160.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2160.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2160.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2160.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2160.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2161.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2161.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2161.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2161.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2161.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2162.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2162.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2162.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2162.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2162.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2163.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2163.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2163.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2163.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2163.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2164.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2164.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2164.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2164.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2164.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2165.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2165.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2165.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2165.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2165.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2166.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2166.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2166.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2166.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2166.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2167.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2167.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2167.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2167.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2167.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2168.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2168.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2168.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2168.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2168.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2169.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2169.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2169.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2169.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2169.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2170.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2170.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2170.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2170.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2170.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2171.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2171.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2171.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2171.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2171.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2172.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2172.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2172.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2172.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2172.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2173.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2173.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2173.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2173.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2173.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2174.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2174.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2174.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2174.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2174.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2175.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2175.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2175.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2175.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2175.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2176.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2176.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2176.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2176.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2176.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2177.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2177.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2177.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2177.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2177.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2178.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2178.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2178.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2178.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2178.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2179.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2179.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2179.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2179.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2179.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2180.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2180.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2180.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2180.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2180.png,"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.",increase to 13 moves,"{""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}"
Image Description,hex_pathfinding_2181.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2181.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2181.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,15,"{""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}"
Compound Reasoning,hex_pathfinding_2181.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2181.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2182.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2182.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2182.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2182.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2182.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2183.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2183.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2183.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2183.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2183.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2184.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2184.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2184.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2184.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2184.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2185.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2185.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2185.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2185.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2185.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2186.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2186.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2186.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2186.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2186.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2187.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2187.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2187.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2187.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2187.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2188.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2188.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2188.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2188.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2188.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2189.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2189.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2189.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2189.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2189.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2190.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2190.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2190.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2190.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2190.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2191.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2191.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2191.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2191.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2191.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2192.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2192.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2192.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2192.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2192.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2193.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2193.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2193.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2193.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2193.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2194.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2194.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2194.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2194.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2194.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2195.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2195.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2195.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2195.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2195.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2196.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2196.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2196.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2196.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2196.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2197.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2197.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2197.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2197.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2197.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2198.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2198.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2198.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2198.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2198.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2199.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2199.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2199.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2199.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2199.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2200.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2200.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2200.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2200.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2200.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2201.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2201.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2201.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2201.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2201.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2202.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2202.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2202.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2202.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2202.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2203.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2203.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2203.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2203.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2203.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2204.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2204.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2204.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2204.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2204.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2205.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2205.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2205.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2205.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2205.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2206.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2206.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2206.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2206.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2206.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2207.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2207.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2207.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2207.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2207.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2208.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2208.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2208.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2208.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2208.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2209.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2209.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2209.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2209.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2209.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2210.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2210.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2210.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2210.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2210.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2211.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2211.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2211.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2211.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2211.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2212.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2212.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2212.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2212.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2212.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2213.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2213.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2213.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2213.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2213.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2214.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2214.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2214.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2214.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2214.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2215.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2215.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2215.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2215.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2215.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2216.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2216.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2216.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2216.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2216.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2217.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2217.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2217.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2217.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2217.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2218.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2218.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2218.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2218.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2218.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2219.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2219.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2219.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2219.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2219.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2220.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2220.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2220.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2220.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2220.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2221.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2221.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2221.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2221.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2221.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2222.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2222.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2222.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2222.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2222.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_2223.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2223.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2223.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2223.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2223.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2224.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2224.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2224.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2224.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2224.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2225.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2225.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2225.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2225.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2225.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2226.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2226.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2226.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2226.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2226.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2227.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2227.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2227.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2227.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2227.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2228.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2228.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2228.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2228.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2228.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2229.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2229.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2229.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2229.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2229.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2230.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2230.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2230.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2230.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2230.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2231.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2231.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2231.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2231.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2231.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2232.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2232.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2232.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2232.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2232.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2233.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2233.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2233.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2233.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2233.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2234.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2234.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2234.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2234.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2234.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2235.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2235.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2235.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2235.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2235.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2236.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2236.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2236.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2236.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2236.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2237.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2237.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2237.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2237.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2237.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2238.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2238.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2238.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2238.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2238.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2239.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2239.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2239.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2239.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2239.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2240.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2240.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2240.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2240.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2240.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2241.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2241.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2241.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2241.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2241.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2242.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2242.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2242.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2242.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2242.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2243.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2243.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2243.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2243.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2243.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2244.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2244.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2244.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2244.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2244.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2245.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2245.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2245.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2245.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2245.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2246.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2246.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2246.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2246.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2246.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2247.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2247.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2247.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2247.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2247.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2248.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2248.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2248.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2248.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2248.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2249.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2249.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2249.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2249.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2249.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2250.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2250.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2250.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2250.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2250.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2251.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2251.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2251.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2251.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2251.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2252.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2252.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2252.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2252.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2252.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2253.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2253.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2253.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,14,"{""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}"
Compound Reasoning,hex_pathfinding_2253.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2253.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2254.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2254.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2254.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2254.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2254.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2255.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2255.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2255.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2255.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2255.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2256.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2256.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2256.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2256.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2256.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2257.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2257.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2257.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2257.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2257.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2258.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2258.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2258.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2258.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2258.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2259.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2259.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2259.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2259.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2259.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2260.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2260.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2260.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2260.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2260.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2261.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2261.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2261.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2261.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2261.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2262.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2262.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2262.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2262.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2262.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2263.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2263.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2263.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2263.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2263.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2264.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2264.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2264.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2264.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2264.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2265.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2265.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2265.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2265.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2265.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2266.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2266.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2266.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2266.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2266.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2267.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2267.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2267.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2267.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2267.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2268.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2268.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2268.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2268.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2268.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2269.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2269.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2269.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2269.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2269.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2270.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2270.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2270.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2270.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2270.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2271.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2271.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2271.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2271.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2271.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2272.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2272.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2272.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2272.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2272.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2273.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2273.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2273.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2273.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2273.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2274.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2274.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2274.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2274.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2274.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2275.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2275.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2275.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2275.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2275.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2276.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2276.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2276.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2276.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2276.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2277.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2277.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2277.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2277.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2277.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2278.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2278.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2278.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2278.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2278.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2279.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2279.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2279.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2279.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2279.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2280.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2280.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2280.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2280.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2280.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2281.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2281.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2281.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2281.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2281.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2282.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2282.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2282.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2282.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2282.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2283.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2283.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2283.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2283.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2283.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2284.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2284.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2284.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2284.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2284.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2285.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2285.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2285.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2285.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2285.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2286.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2286.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2286.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2286.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2286.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2287.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2287.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2287.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2287.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2287.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2288.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2288.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2288.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2288.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2288.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2289.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2289.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2289.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2289.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2289.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2290.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2290.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2290.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2290.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2290.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2291.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2291.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2291.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2291.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2291.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2292.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2292.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2292.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2292.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2292.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2293.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2293.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2293.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2293.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2293.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2294.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2294.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2294.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2294.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2294.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2295.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2295.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2295.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2295.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2295.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2296.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2296.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2296.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2296.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2296.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2297.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2297.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2297.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2297.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2297.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2298.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2298.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2298.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2298.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2298.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2299.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2299.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2299.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2299.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2299.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2300.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2300.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2300.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2300.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2300.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2301.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2301.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2301.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2301.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2301.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2302.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2302.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2302.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2302.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2302.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2303.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2303.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2303.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2303.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2303.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2304.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2304.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2304.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2304.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2304.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2305.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2305.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2305.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2305.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2305.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2306.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2306.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2306.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2306.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2306.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2307.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2307.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2307.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2307.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2307.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2308.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2308.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2308.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2308.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2308.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2309.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2309.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2309.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2309.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2309.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2310.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2310.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2310.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2310.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2310.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2311.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2311.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2311.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2311.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2311.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2312.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2312.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2312.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2312.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2312.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2313.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2313.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2313.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2313.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2313.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2314.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2314.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2314.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2314.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2314.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2315.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2315.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2315.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2315.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2315.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2316.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2316.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2316.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2316.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2316.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2317.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2317.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2317.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2317.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2317.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2318.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2318.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2318.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2318.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2318.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2319.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2319.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2319.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2319.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2319.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2320.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2320.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2320.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2320.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2320.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2321.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2321.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2321.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2321.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2321.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2322.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2322.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2322.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2322.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2322.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2323.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2323.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2323.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2323.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2323.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2324.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2324.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2324.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2324.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2324.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2325.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2325.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2325.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2325.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2325.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2326.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2326.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2326.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2326.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2326.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2327.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2327.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2327.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2327.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2327.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2328.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2328.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2328.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2328.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2328.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2329.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2329.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2329.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2329.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2329.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2330.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2330.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2330.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2330.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2330.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2331.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2331.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2331.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2331.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2331.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2332.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2332.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2332.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2332.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2332.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2333.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2333.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2333.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2333.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2333.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2334.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2334.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2334.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_2334.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2334.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2335.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2335.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2335.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2335.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2335.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2336.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2336.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2336.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2336.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2336.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2337.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2337.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2337.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2337.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2337.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2338.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2338.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2338.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2338.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2338.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2339.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2339.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2339.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2339.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2339.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2340.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2340.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2340.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2340.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2340.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2341.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2341.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2341.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2341.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2341.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2342.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2342.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2342.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2342.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2342.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2343.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2343.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2343.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2343.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2343.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2344.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2344.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2344.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2344.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2344.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2345.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2345.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2345.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2345.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2345.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2346.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2346.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2346.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2346.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (27),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2346.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2347.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2347.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2347.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2347.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2347.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2348.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2348.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2348.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2348.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2348.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2349.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2349.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2349.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2349.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2349.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2350.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2350.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2350.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2350.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2350.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2351.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2351.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2351.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2351.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2351.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2352.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2352.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2352.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2352.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2352.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2353.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2353.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2353.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2353.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2353.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2354.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2354.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2354.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2354.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2354.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2355.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2355.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2355.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2355.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2355.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2356.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2356.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2356.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2356.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2356.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2357.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2357.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2357.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2357.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2357.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2358.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2358.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2358.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2358.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2358.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2359.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2359.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2359.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2359.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2359.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2360.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2360.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2360.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2360.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2360.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2361.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2361.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2361.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2361.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2361.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2362.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2362.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2362.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2362.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2362.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2363.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2363.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2363.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2363.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2363.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2364.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2364.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2364.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2364.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2364.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2365.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2365.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2365.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2365.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2365.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2366.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2366.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2366.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2366.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2366.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2367.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2367.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2367.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2367.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2367.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2368.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2368.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2368.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2368.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2368.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2369.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2369.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2369.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2369.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2369.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2370.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2370.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2370.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2370.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2370.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2371.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2371.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2371.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2371.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2371.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2372.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2372.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2372.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2372.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2372.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2373.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2373.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2373.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_2373.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2373.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2374.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2374.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2374.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2374.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2374.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2375.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2375.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2375.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2375.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2375.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2376.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2376.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2376.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2376.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2376.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2377.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2377.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2377.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2377.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2377.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2378.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2378.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2378.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2378.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2378.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2379.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2379.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2379.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2379.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2379.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2380.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2380.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2380.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2380.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2380.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2381.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2381.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2381.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2381.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2381.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2382.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2382.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2382.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2382.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2382.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2383.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2383.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2383.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2383.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2383.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2384.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2384.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2384.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2384.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2384.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2385.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2385.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2385.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2385.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2385.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2386.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2386.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2386.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2386.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2386.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2387.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2387.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2387.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2387.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2387.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2388.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2388.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2388.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2388.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2388.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2389.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2389.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2389.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2389.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2389.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2390.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2390.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2390.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2390.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2390.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2391.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2391.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2391.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2391.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (34),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2391.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2392.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2392.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2392.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2392.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2392.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2393.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2393.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2393.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2393.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2393.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2394.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2394.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2394.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2394.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2394.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2395.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2395.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2395.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2395.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2395.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2396.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2396.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2396.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2396.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2396.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2397.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2397.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2397.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2397.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2397.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2398.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2398.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2398.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2398.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2398.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2399.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2399.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2399.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2399.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2399.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2400.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2400.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2400.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2400.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2400.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2401.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2401.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2401.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2401.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2401.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2402.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2402.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2402.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2402.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2402.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2403.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2403.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2403.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2403.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2403.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2404.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2404.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2404.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2404.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2404.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2405.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2405.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2405.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2405.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2405.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2406.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2406.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2406.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2406.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2406.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2407.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2407.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2407.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2407.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2407.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2408.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2408.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2408.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2408.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2408.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2409.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2409.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2409.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2409.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2409.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2410.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2410.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2410.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2410.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2410.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2411.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2411.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2411.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2411.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2411.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2412.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2412.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2412.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2412.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2412.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2413.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2413.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2413.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2413.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2413.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2414.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2414.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2414.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2414.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2414.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2415.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2415.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2415.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2415.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2415.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2416.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2416.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2416.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2416.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2416.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2417.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2417.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2417.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2417.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2417.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2418.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2418.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2418.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2418.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2418.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2419.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2419.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2419.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2419.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2419.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2420.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2420.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2420.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2420.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2420.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2421.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2421.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2421.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2421.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2421.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2422.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2422.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2422.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2422.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2422.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2423.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2423.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2423.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2423.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2423.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2424.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2424.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2424.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2424.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2424.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2425.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2425.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2425.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2425.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2425.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2426.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2426.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2426.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2426.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2426.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2427.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2427.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2427.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2427.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2427.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2428.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2428.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2428.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2428.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2428.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2429.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2429.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2429.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2429.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2429.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2430.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2430.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2430.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2430.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2430.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2431.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2431.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2431.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2431.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2431.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2432.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2432.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2432.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2432.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2432.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2433.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2433.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2433.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2433.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (83),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2433.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2434.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2434.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2434.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2434.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2434.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2435.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2435.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2435.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2435.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2435.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2436.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2436.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2436.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2436.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2436.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2437.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2437.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2437.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2437.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2437.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2438.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2438.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2438.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2438.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2438.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2439.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2439.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2439.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2439.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2439.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2440.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2440.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2440.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2440.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2440.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2441.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2441.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2441.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2441.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2441.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2442.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2442.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2442.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,15,"{""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}"
Compound Reasoning,hex_pathfinding_2442.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (198),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2442.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2443.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2443.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2443.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2443.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2443.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2444.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2444.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2444.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2444.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2444.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2445.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2445.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2445.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2445.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2445.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2446.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2446.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2446.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2446.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2446.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2447.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2447.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2447.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2447.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2447.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2448.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2448.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2448.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2448.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (29),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2448.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2449.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2449.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2449.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2449.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2449.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2450.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2450.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2450.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2450.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2450.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2451.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2451.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2451.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2451.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2451.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2452.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2452.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2452.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2452.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2452.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2453.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2453.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2453.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2453.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2453.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2454.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2454.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2454.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2454.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2454.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2455.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2455.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2455.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2455.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2455.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2456.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2456.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2456.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2456.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2456.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2457.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2457.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2457.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_2457.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2457.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2458.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2458.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2458.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2458.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2458.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2459.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2459.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2459.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2459.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2459.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2460.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2460.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2460.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2460.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2460.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2461.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2461.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2461.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2461.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2461.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2462.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2462.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2462.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2462.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2462.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2463.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2463.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2463.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2463.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2463.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2464.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2464.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2464.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2464.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2464.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2465.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2465.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2465.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2465.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2465.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2466.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2466.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2466.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2466.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2466.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2467.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2467.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2467.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2467.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2467.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2468.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2468.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2468.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2468.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2468.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2469.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2469.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2469.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2469.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2469.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2470.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2470.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2470.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2470.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2470.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2471.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2471.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2471.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2471.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2471.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2472.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2472.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2472.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2472.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2472.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2473.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2473.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2473.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2473.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2473.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2474.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2474.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2474.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2474.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2474.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2475.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2475.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2475.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2475.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2475.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2476.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2476.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2476.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2476.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2476.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2477.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2477.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2477.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2477.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2477.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2478.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2478.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2478.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2478.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2478.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2479.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2479.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2479.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2479.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2479.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2480.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2480.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2480.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2480.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2480.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2481.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2481.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2481.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2481.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (11),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2481.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2482.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2482.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2482.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2482.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2482.png,"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.",stay the same (8 moves),"{""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}"
Image Description,hex_pathfinding_2483.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2483.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2483.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2483.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2483.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2484.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2484.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2484.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2484.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2484.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2485.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2485.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2485.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2485.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2485.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2486.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2486.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2486.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2486.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2486.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2487.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2487.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2487.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2487.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2487.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2488.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2488.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2488.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2488.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2488.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2489.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2489.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2489.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2489.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2489.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2490.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2490.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2490.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2490.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2490.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2491.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2491.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2491.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2491.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2491.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2492.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2492.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2492.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2492.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2492.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2493.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2493.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2493.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2493.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (19),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2493.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2494.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2494.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2494.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2494.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2494.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2495.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2495.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2495.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2495.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2495.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2496.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2496.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2496.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2496.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2496.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2497.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2497.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2497.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2497.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2497.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2498.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2498.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2498.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2498.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2498.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2499.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2499.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2499.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2499.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (38),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2499.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2500.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2500.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2500.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2500.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2500.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2501.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2501.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2501.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2501.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2501.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2502.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2502.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2502.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2502.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2502.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2503.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2503.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2503.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2503.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2503.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2504.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2504.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2504.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2504.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2504.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2505.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2505.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2505.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2505.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2505.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2506.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2506.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2506.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2506.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2506.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2507.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2507.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2507.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2507.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2507.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2508.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2508.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2508.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2508.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2508.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2509.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2509.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2509.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2509.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2509.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2510.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2510.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2510.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2510.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2510.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2511.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2511.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2511.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2511.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2511.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2512.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2512.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2512.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2512.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2512.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2513.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2513.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2513.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2513.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2513.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2514.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2514.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2514.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2514.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2514.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2515.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2515.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2515.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2515.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2515.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2516.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2516.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2516.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2516.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2516.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2517.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2517.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2517.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2517.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2517.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2518.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2518.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2518.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2518.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2518.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2519.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2519.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2519.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2519.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2519.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2520.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2520.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2520.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2520.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2520.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2521.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2521.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2521.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2521.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2521.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2522.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2522.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2522.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2522.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2522.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2523.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2523.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2523.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2523.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2523.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2524.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2524.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2524.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2524.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2524.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2525.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2525.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2525.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2525.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2525.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2526.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2526.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2526.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2526.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2526.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2527.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2527.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2527.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2527.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2527.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2528.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2528.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2528.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2528.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2528.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2529.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2529.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2529.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2529.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2529.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2530.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2530.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2530.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2530.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2530.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2531.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2531.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2531.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2531.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2531.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2532.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2532.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2532.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2532.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (25),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2532.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2533.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2533.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2533.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2533.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2533.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2534.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2534.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2534.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2534.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2534.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2535.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2535.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2535.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2535.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2535.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2536.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2536.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2536.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2536.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2536.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2537.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2537.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2537.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2537.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2537.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2538.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2538.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2538.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2538.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2538.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2539.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2539.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2539.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2539.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2539.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2540.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2540.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2540.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2540.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2540.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2541.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2541.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2541.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2541.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2541.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2542.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2542.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2542.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2542.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2542.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2543.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2543.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2543.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2543.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2543.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2544.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2544.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2544.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2544.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2544.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2545.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2545.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2545.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2545.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2545.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2546.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2546.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2546.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2546.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2546.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2547.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2547.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2547.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2547.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2547.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2548.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2548.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2548.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2548.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2548.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2549.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2549.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2549.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2549.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2549.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2550.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2550.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2550.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2550.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2550.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2551.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2551.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2551.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2551.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2551.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2552.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2552.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2552.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2552.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2552.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2553.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2553.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2553.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2553.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2553.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2554.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2554.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2554.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2554.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2554.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2555.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2555.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2555.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2555.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2555.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2556.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2556.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2556.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2556.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2556.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2557.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2557.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2557.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2557.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2557.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2558.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2558.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2558.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2558.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2558.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2559.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2559.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2559.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2559.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2559.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2560.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2560.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2560.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2560.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2560.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2561.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2561.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2561.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2561.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2561.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2562.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2562.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2562.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2562.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (17),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2562.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2563.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2563.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2563.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2563.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2563.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2564.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2564.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2564.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2564.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2564.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2565.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2565.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2565.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2565.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2565.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2566.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2566.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2566.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2566.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2566.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2567.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2567.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2567.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2567.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2567.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2568.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2568.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2568.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2568.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2568.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2569.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2569.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2569.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2569.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2569.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2570.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2570.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2570.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2570.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2570.png,"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.",increase to 13 moves,"{""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}"
Image Description,hex_pathfinding_2571.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2571.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2571.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2571.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2571.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2572.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2572.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2572.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2572.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2572.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2573.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2573.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2573.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2573.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2573.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2574.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2574.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2574.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2574.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2574.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2575.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2575.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2575.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2575.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2575.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2576.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2576.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2576.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2576.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2576.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2577.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2577.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2577.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2577.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2577.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2578.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2578.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2578.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2578.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2578.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2579.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2579.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2579.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2579.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2579.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2580.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2580.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2580.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2580.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2580.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2581.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2581.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2581.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2581.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2581.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2582.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2582.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2582.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2582.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2582.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2583.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2583.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2583.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2583.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2583.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2584.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2584.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2584.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2584.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2584.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2585.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2585.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2585.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2585.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2585.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2586.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2586.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2586.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2586.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2586.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2587.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2587.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2587.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2587.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2587.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2588.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2588.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2588.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2588.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2588.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2589.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2589.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2589.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2589.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2589.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2590.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2590.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2590.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2590.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2590.png,"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.",stay the same (9 moves),"{""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}"
Image Description,hex_pathfinding_2591.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2591.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2591.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2591.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2591.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2592.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2592.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2592.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2592.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2592.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2593.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2593.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2593.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2593.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2593.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2594.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2594.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2594.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2594.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2594.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2595.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2595.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2595.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2595.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2595.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2596.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2596.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2596.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2596.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2596.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2597.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2597.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2597.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2597.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2597.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2598.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2598.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2598.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2598.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2598.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2599.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2599.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2599.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2599.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2599.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2600.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2600.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2600.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2600.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2600.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2601.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2601.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2601.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_2601.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2601.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2602.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2602.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2602.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2602.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2602.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2603.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2603.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2603.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2603.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2603.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2604.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2604.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2604.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2604.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2604.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2605.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2605.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2605.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2605.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2605.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2606.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2606.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2606.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2606.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2606.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2607.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2607.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2607.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2607.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2607.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2608.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2608.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2608.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2608.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2608.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2609.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2609.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2609.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2609.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2609.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2610.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2610.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2610.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2610.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2610.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2611.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2611.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2611.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2611.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2611.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2612.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2612.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2612.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2612.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2612.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2613.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2613.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2613.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2613.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2613.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2614.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2614.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2614.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2614.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2614.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2615.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2615.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2615.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2615.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2615.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2616.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2616.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2616.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2616.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2616.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2617.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2617.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2617.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2617.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2617.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2618.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2618.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2618.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2618.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2618.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2619.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2619.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2619.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2619.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2619.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2620.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2620.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2620.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2620.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2620.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2621.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2621.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2621.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2621.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2621.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2622.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2622.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2622.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2622.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2622.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2623.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2623.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2623.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2623.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2623.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2624.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2624.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2624.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2624.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2624.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2625.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2625.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2625.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2625.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2625.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2626.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2626.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2626.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2626.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2626.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2627.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2627.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2627.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2627.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2627.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2628.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2628.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2628.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2628.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2628.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2629.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2629.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2629.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2629.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2629.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2630.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2630.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2630.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2630.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2630.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2631.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2631.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2631.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2631.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2631.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2632.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2632.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2632.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2632.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2632.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2633.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2633.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2633.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2633.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2633.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2634.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2634.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2634.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2634.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2634.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2635.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2635.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2635.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2635.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2635.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2636.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2636.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2636.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2636.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2636.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2637.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2637.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2637.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2637.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2637.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2638.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2638.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2638.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2638.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2638.png,"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.",stay the same (8 moves),"{""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}"
Image Description,hex_pathfinding_2639.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2639.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2639.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2639.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2639.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2640.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2640.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2640.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2640.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2640.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2641.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2641.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2641.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2641.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2641.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (8 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2642.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2642.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2642.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2642.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2642.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2643.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2643.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2643.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2643.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2643.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2644.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2644.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2644.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2644.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2644.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2645.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2645.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2645.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2645.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2645.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2646.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2646.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2646.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2646.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2646.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2647.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2647.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2647.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2647.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2647.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2648.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2648.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2648.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2648.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2648.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2649.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2649.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2649.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2649.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2649.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2650.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2650.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2650.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2650.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2650.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2651.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2651.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2651.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2651.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2651.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2652.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2652.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2652.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2652.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2652.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2653.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2653.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2653.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2653.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2653.png,"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.",stay the same (8 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2654.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2654.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2654.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2654.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2654.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2655.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2655.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2655.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2655.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (30),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2655.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2656.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2656.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2656.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2656.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2656.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2657.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2657.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2657.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2657.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2657.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2658.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2658.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2658.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2658.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2658.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2659.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2659.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2659.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2659.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2659.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2660.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2660.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2660.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2660.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2660.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2661.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2661.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2661.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2661.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2661.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2662.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2662.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2662.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2662.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2662.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2663.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2663.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2663.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2663.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2663.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2664.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2664.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2664.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2664.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (24),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2664.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2665.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2665.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2665.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2665.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2665.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2666.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2666.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2666.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2666.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2666.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2667.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2667.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2667.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2667.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2667.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2668.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2668.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2668.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2668.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2668.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2669.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2669.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2669.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2669.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2669.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2670.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2670.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2670.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2670.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2670.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2671.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2671.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2671.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2671.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2671.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2672.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2672.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2672.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2672.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2672.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2673.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2673.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2673.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2673.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2673.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2674.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2674.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2674.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2674.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2674.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2675.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2675.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2675.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2675.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2675.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2676.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2676.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2676.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_2676.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (17),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2676.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2677.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2677.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2677.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2677.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2677.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2678.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2678.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2678.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2678.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2678.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2679.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2679.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2679.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2679.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2679.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2680.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2680.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2680.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2680.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2680.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2681.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2681.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2681.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2681.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2681.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2682.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2682.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2682.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2682.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2682.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2683.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2683.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2683.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2683.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2683.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2684.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2684.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2684.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2684.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2684.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2685.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2685.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2685.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_2685.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (20),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2685.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2686.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2686.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2686.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2686.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2686.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2687.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2687.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2687.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2687.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2687.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2688.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2688.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2688.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2688.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2688.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2689.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2689.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2689.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2689.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2689.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2690.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2690.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2690.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2690.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2690.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2691.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2691.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2691.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2691.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2691.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2692.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2692.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2692.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2692.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2692.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2693.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2693.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2693.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2693.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (18),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2693.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2694.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2694.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2694.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2694.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2694.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2695.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2695.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2695.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2695.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2695.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2696.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2696.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2696.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2696.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2696.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2697.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2697.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2697.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2697.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2697.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2698.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2698.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2698.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2698.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2698.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2699.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2699.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2699.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2699.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2699.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2700.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2700.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2700.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2700.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2700.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2701.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2701.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2701.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2701.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2701.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2702.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2702.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2702.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2702.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2702.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2703.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2703.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2703.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2703.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (31),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2703.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2704.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2704.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2704.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2704.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2704.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2705.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2705.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2705.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2705.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2705.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2706.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2706.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2706.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2706.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2706.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2707.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2707.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2707.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2707.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2707.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2708.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2708.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2708.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2708.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2708.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2709.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2709.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2709.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2709.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2709.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2710.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2710.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2710.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2710.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2710.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2711.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2711.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2711.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2711.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2711.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2712.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2712.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2712.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2712.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2712.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2713.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2713.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2713.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2713.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2713.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2714.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2714.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2714.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2714.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2714.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2715.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2715.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2715.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2715.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2715.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2716.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2716.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2716.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2716.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2716.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2717.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2717.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2717.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2717.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2717.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2718.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2718.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2718.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2718.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2718.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2719.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2719.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2719.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2719.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2719.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2720.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2720.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2720.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2720.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2720.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2721.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2721.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2721.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2721.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2721.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2722.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2722.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2722.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2722.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2722.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2723.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2723.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2723.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2723.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2723.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2724.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2724.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2724.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2724.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2724.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2725.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2725.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2725.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2725.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2725.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2726.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2726.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2726.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2726.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2726.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2727.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2727.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2727.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2727.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2727.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2728.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2728.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2728.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2728.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2728.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2729.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2729.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2729.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2729.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2729.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2730.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2730.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2730.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2730.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2730.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2731.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2731.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2731.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2731.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2731.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2732.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2732.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2732.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2732.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2732.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2733.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2733.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2733.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2733.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2733.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2734.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2734.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2734.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2734.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2734.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2735.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2735.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2735.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2735.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2735.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2736.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2736.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2736.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2736.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2736.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2737.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2737.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2737.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2737.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2737.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2738.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2738.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2738.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2738.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2738.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2739.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2739.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2739.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2739.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2739.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2740.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2740.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2740.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2740.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2740.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2741.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2741.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2741.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2741.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2741.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2742.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2742.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2742.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2742.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2742.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2743.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2743.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2743.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2743.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2743.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2744.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2744.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2744.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2744.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2744.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2745.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2745.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2745.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2745.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2745.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2746.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2746.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2746.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2746.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2746.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2747.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2747.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2747.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2747.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2747.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2748.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2748.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2748.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2748.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2748.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2749.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2749.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2749.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2749.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2749.png,"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.",stay the same (8 moves),"{""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}"
Image Description,hex_pathfinding_2750.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2750.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2750.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2750.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2750.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2751.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2751.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2751.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2751.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2751.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2752.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2752.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2752.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2752.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2752.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2753.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2753.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2753.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2753.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2753.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2754.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2754.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2754.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2754.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2754.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2755.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2755.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2755.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2755.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2755.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2756.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2756.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2756.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2756.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2756.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2757.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2757.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2757.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2757.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2757.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2758.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2758.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2758.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2758.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2758.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2759.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2759.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2759.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2759.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2759.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2760.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2760.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2760.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2760.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2760.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2761.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2761.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2761.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2761.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2761.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2762.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2762.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2762.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2762.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2762.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2763.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2763.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2763.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2763.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2763.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2764.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2764.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2764.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2764.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2764.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2765.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2765.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2765.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2765.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2765.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2766.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2766.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2766.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2766.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2766.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2767.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2767.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2767.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2767.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2767.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2768.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2768.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2768.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2768.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2768.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2769.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2769.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2769.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2769.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2769.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2770.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2770.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2770.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2770.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2770.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2771.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2771.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2771.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2771.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2771.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2772.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2772.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2772.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2772.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2772.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2773.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2773.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2773.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2773.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2773.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2774.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2774.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2774.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2774.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2774.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2775.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2775.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2775.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2775.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2775.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2776.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2776.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2776.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2776.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2776.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2777.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2777.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2777.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2777.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2777.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2778.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2778.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2778.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2778.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2778.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2779.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2779.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2779.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2779.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2779.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2780.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2780.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2780.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2780.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2780.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2781.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2781.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2781.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2781.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2781.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2782.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2782.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2782.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2782.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2782.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2783.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2783.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2783.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2783.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2783.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2784.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2784.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2784.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2784.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (72),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2784.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2785.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2785.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2785.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2785.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2785.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2786.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2786.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2786.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2786.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2786.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2787.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2787.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2787.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2787.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2787.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2788.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2788.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2788.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2788.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2788.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2789.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2789.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2789.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2789.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2789.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2790.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2790.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2790.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2790.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2790.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2791.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2791.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2791.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2791.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2791.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2792.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2792.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2792.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2792.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2792.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2793.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2793.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2793.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2793.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2793.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2794.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2794.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2794.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2794.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2794.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2795.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2795.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2795.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2795.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2795.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2796.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2796.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2796.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2796.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2796.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2797.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2797.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2797.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2797.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2797.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2798.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2798.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2798.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2798.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2798.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2799.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2799.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2799.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2799.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2799.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2800.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2800.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2800.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2800.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2800.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2801.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2801.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2801.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2801.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (16),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2801.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2802.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2802.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2802.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2802.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2802.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2803.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2803.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2803.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2803.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2803.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2804.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2804.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2804.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2804.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2804.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2805.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2805.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2805.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2805.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2805.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2806.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2806.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2806.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2806.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2806.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2807.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2807.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2807.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2807.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2807.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2808.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2808.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2808.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2808.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2808.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2809.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2809.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2809.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2809.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2809.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2810.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2810.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2810.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2810.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2810.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2811.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2811.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2811.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2811.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (42),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2811.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2812.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2812.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2812.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2812.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2812.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2813.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2813.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2813.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2813.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2813.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2814.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2814.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2814.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,15,"{""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}"
Compound Reasoning,hex_pathfinding_2814.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2814.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2815.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2815.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2815.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2815.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2815.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2816.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2816.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2816.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2816.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2816.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2817.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2817.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2817.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2817.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (21),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2817.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2818.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2818.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2818.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2818.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2818.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2819.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2819.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2819.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2819.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2819.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2820.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2820.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2820.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2820.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2820.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2821.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2821.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2821.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2821.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2821.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2822.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2822.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2822.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2822.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2822.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2823.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2823.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2823.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2823.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2823.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2824.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2824.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2824.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2824.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2824.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2825.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2825.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2825.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2825.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2825.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2826.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2826.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2826.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2826.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2826.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2827.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2827.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2827.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2827.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2827.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2828.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2828.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2828.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2828.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2828.png,"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.",increase to 11 moves,"{""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}"
Image Description,hex_pathfinding_2829.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2829.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2829.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2829.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2829.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2830.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2830.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2830.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2830.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2830.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2831.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2831.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2831.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2831.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2831.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2832.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2832.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2832.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2832.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2832.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2833.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2833.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2833.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2833.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2833.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2834.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2834.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2834.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2834.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2834.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2835.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2835.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2835.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2835.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2835.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2836.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2836.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2836.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2836.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2836.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2837.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2837.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2837.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2837.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2837.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2838.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2838.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2838.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2838.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2838.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2839.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2839.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2839.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2839.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2839.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2840.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2840.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2840.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2840.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2840.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2841.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2841.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2841.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2841.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2841.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2842.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2842.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2842.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2842.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2842.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2843.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2843.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2843.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2843.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2843.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2844.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2844.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2844.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2844.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2844.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2845.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2845.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2845.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2845.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2845.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2846.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2846.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2846.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2846.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2846.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2847.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2847.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2847.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2847.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2847.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2848.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2848.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2848.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2848.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2848.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2849.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2849.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2849.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2849.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2849.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2850.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2850.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2850.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2850.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2850.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2851.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2851.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2851.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2851.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2851.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2852.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2852.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2852.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2852.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2852.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2853.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2853.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2853.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2853.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2853.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2854.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2854.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2854.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2854.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2854.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2855.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2855.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2855.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2855.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2855.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2856.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2856.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2856.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2856.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2856.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2857.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2857.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2857.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2857.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2857.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2858.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2858.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2858.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2858.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2858.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2859.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2859.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2859.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2859.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2859.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2860.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2860.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2860.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2860.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2860.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2861.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2861.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2861.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2861.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2861.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2862.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2862.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2862.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2862.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2862.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2863.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2863.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2863.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2863.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2863.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2864.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2864.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2864.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2864.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2864.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2865.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2865.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2865.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2865.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2865.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2866.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2866.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2866.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2866.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2866.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2867.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2867.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2867.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2867.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2867.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2868.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2868.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2868.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2868.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2868.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2869.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2869.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2869.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2869.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2869.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2870.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2870.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2870.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2870.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (14),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2870.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2871.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2871.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2871.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2871.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (13),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2871.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2872.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2872.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2872.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2872.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2872.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2873.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2873.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2873.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2873.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2873.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2874.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2874.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2874.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2874.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2874.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2875.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2875.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2875.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2875.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2875.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2876.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2876.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2876.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2876.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2876.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2877.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2877.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2877.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2877.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2877.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2878.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2878.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2878.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2878.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2878.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2879.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2879.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2879.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2879.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2879.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2880.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2880.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2880.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2880.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2880.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2881.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2881.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2881.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2881.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2881.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2882.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2882.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2882.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2882.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2882.png,"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.",increase to 12 moves,"{""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}"
Image Description,hex_pathfinding_2883.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2883.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2883.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2883.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2883.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2884.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2884.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2884.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2884.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2884.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2885.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2885.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2885.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2885.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2885.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2886.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2886.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2886.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2886.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2886.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2887.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2887.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2887.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2887.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2887.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2888.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2888.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2888.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2888.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2888.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2889.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2889.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2889.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2889.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2889.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2890.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2890.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2890.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2890.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2890.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2891.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2891.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2891.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2891.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2891.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2892.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2892.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2892.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2892.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2892.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2893.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2893.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2893.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2893.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2893.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2894.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2894.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2894.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2894.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2894.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2895.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2895.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2895.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2895.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2895.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2896.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2896.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2896.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2896.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2896.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2897.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2897.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2897.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2897.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2897.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2898.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2898.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2898.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2898.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2898.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2899.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2899.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2899.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2899.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2899.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2900.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2900.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2900.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2900.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2900.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2901.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2901.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2901.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2901.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2901.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2902.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2902.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2902.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2902.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2902.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2903.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2903.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2903.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2903.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2903.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2904.png,How many grey (hole) tiles are shown in this grid?,22,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2904.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2904.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2904.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2904.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2905.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2905.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2905.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2905.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2905.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2906.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2906.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2906.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2906.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2906.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2907.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2907.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2907.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2907.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (26),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2907.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2908.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2908.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2908.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2908.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2908.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2909.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2909.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2909.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2909.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2909.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2910.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2910.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2910.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2910.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2910.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2911.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2911.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2911.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2911.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2911.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2912.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2912.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2912.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2912.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2912.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2913.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2913.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2913.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2913.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (9),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2913.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2914.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2914.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2914.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2914.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2914.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2915.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2915.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2915.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2915.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2915.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2916.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2916.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2916.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2916.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (12),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2916.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2917.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2917.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2917.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2917.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2917.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2918.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2918.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2918.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2918.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2918.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2919.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2919.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2919.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2919.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2919.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2920.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2920.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2920.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2920.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2920.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2921.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2921.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2921.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2921.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2921.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2922.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2922.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2922.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2922.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2922.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2923.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2923.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2923.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2923.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2923.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2924.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2924.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2924.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2924.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2924.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2925.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2925.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2925.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2925.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2925.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2926.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2926.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2926.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2926.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2926.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2927.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2927.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2927.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2927.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2927.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2928.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2928.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2928.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2928.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (25),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2928.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2929.png,How many grey (hole) tiles are shown in this grid?,6,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2929.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2929.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2929.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2929.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2930.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2930.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2930.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2930.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2930.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2931.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2931.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2931.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2931.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2931.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2932.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2932.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2932.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2932.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2932.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2933.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2933.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2933.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2933.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2933.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2934.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2934.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2934.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2934.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2934.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2935.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2935.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2935.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2935.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2935.png,"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.",stay the same (7 moves),"{""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}"
Image Description,hex_pathfinding_2936.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2936.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2936.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2936.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2936.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2937.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2937.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2937.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2937.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2937.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2938.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2938.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2938.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2938.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2938.png,"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.",stay the same (8 moves),"{""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}"
Image Description,hex_pathfinding_2939.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2939.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2939.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2939.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2939.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2940.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2940.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2940.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2940.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2940.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2941.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2941.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2941.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2941.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2941.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2942.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2942.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2942.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2942.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2942.png,"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2943.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2943.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2943.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2943.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2943.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2944.png,How many grey (hole) tiles are shown in this grid?,5,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2944.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2944.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2944.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2944.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2945.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2945.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2945.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2945.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2945.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2946.png,How many grey (hole) tiles are shown in this grid?,18,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2946.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2946.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2946.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2946.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2947.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2947.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2947.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2947.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2947.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2948.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2948.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2948.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2948.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2948.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2949.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2949.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2949.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2949.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (29),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2949.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2950.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2950.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2950.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2950.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2950.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2951.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2951.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2951.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2951.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2951.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2952.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2952.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2952.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2952.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (8),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2952.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2953.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2953.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2953.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2953.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2953.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2954.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2954.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2954.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2954.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2954.png,"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2955.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2955.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2955.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_2955.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2955.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2956.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2956.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2956.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2956.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2956.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2957.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2957.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2957.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2957.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2957.png,"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.",increase to 8 moves,"{""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}"
Image Description,hex_pathfinding_2958.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2958.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2958.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2958.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2958.png,"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2959.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2959.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2959.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2959.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2959.png,"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.",stay the same (5 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2960.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2960.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2960.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2960.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (15),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2960.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2961.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2961.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2961.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2961.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2961.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2962.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2962.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2962.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2962.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2962.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2963.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2963.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2963.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2963.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2963.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2964.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2964.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2964.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2964.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2964.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2965.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2965.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2965.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2965.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2965.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2966.png,How many grey (hole) tiles are shown in this grid?,13,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2966.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2966.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2966.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (28),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2966.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2967.png,How many grey (hole) tiles are shown in this grid?,15,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2967.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2967.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,13,"{""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}"
Compound Reasoning,hex_pathfinding_2967.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2967.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2968.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2968.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2968.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2968.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2968.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2969.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2969.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2969.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2969.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2969.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2970.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2970.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2970.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,12,"{""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}"
Compound Reasoning,hex_pathfinding_2970.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2970.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2971.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2971.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2971.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2971.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2971.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2972.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2972.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2972.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2972.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2972.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2973.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2973.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2973.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2973.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2973.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2974.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2974.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2974.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2974.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2974.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2975.png,How many grey (hole) tiles are shown in this grid?,14,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2975.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2975.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2975.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2975.png,"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2976.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2976.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2976.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2976.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2976.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2977.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2977.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2977.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""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}"
Compound Reasoning,hex_pathfinding_2977.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2977.png,"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.",stay the same (4 moves),"{""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}"
Image Description,hex_pathfinding_2978.png,How many grey (hole) tiles are shown in this grid?,10,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2978.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2978.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2978.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2978.png,"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.",increase to 7 moves,"{""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}"
Image Description,hex_pathfinding_2979.png,How many grey (hole) tiles are shown in this grid?,19,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2979.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2979.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2979.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (5),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2979.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2980.png,How many grey (hole) tiles are shown in this grid?,7,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2980.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2980.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2980.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2980.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2981.png,How many grey (hole) tiles are shown in this grid?,11,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2981.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2981.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2981.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2981.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2982.png,How many grey (hole) tiles are shown in this grid?,17,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2982.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2982.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2982.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2982.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2983.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2983.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2983.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2983.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (6),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2983.png,"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.",stay the same (5 moves),"{""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}"
Image Description,hex_pathfinding_2984.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2984.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2984.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2984.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2984.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2985.png,How many grey (hole) tiles are shown in this grid?,21,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2985.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2985.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2985.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2985.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2986.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2986.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2986.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2986.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2986.png,"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.",stay the same (6 moves),"{""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}"
Image Description,hex_pathfinding_2987.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2987.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2987.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2987.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2987.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2988.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2988.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2988.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2988.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (31),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2988.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2989.png,How many grey (hole) tiles are shown in this grid?,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2989.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2989.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2989.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2989.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2990.png,How many grey (hole) tiles are shown in this grid?,9,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2990.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2990.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""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}"
Compound Reasoning,hex_pathfinding_2990.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2990.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_2991.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2991.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2991.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,10,"{""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}"
Compound Reasoning,hex_pathfinding_2991.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2991.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2992.png,How many grey (hole) tiles are shown in this grid?,5,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2992.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2992.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2992.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (7),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2992.png,"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.",stay the same (7 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2993.png,How many grey (hole) tiles are shown in this grid?,8,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2993.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2993.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,5,"{""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}"
Compound Reasoning,hex_pathfinding_2993.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2993.png,"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.",increase to 6 moves,"{""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}"
Image Description,hex_pathfinding_2994.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2994.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2994.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,11,"{""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}"
Compound Reasoning,hex_pathfinding_2994.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",unique,"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2994.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2995.png,How many grey (hole) tiles are shown in this grid?,7,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2995.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2995.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,6,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2995.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (2),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2995.png,"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.",stay the same (6 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2996.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2996.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_2996.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2996.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2996.png,"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.",increase to 9 moves,"{""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}"
Image Description,hex_pathfinding_2997.png,How many grey (hole) tiles are shown in this grid?,16,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2997.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2997.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,9,"{""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}"
Compound Reasoning,hex_pathfinding_2997.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2997.png,"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.",no valid path exists,"{""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}"
Image Description,hex_pathfinding_2998.png,How many grey (hole) tiles are shown in this grid?,8,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Basic Relational Reasoning,hex_pathfinding_2998.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Comparative Reasoning,hex_pathfinding_2998.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,4,"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Compound Reasoning,hex_pathfinding_2998.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (3),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2998.png,"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.",stay the same (4 moves),"{""coordinate_frame"":""axial hex coordinates (q,r)"",""dataset_version"":""hex-pathfinding-2.0.0"",""difficulty_score"":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}"
Image Description,hex_pathfinding_2999.png,How many grey (hole) tiles are shown in this grid?,12,"{""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}"
Basic Relational Reasoning,hex_pathfinding_2999.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",walkable,"{""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}"
Comparative Reasoning,hex_pathfinding_2999.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,8,"{""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}"
Compound Reasoning,hex_pathfinding_2999.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (4),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_2999.png,"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.",increase to 10 moves,"{""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}"
Image Description,hex_pathfinding_3000.png,How many grey (hole) tiles are shown in this grid?,20,"{""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}"
Basic Relational Reasoning,hex_pathfinding_3000.png,"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.",hole,"{""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}"
Comparative Reasoning,hex_pathfinding_3000.png,What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.,7,"{""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}"
Compound Reasoning,hex_pathfinding_3000.png,"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?",multiple (10),"{""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}"
Extrapolative/Counterfactual Reasoning,hex_pathfinding_3000.png,"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.",no valid path exists,"{""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}"