model,sigma,domain,level,n,correct_count,baseline_expected_correct,baseline,raw_accuracy,adjusted_score,modal_ground_truth,excluded_constant,small_n claude_opus_5,0,angle_estimation,1,20,19,7,0.35,0.95,0.9230769230769231,2,False,False claude_opus_5,0,angle_estimation,2,20,18,4,0.2,0.9,0.875,Angle 2,False,False claude_opus_5,0,angle_estimation,3,20,19,6,0.3,0.95,0.9285714285714286,greater than,False,False claude_opus_5,0,angle_estimation,4,20,10,4,0.2,0.5,0.375,180,False,False claude_opus_5,0,angle_estimation,5,20,7,6,0.3,0.35,0.07142857142857142,exceeds 180,False,False claude_opus_5,0,clock_reading,1,20,15,4,0.2,0.75,0.6875,10,False,False claude_opus_5,0,clock_reading,2,20,20,10,0.5,1.0,1.0,after,False,False claude_opus_5,0,clock_reading,3,20,12,1,0.05,0.6,0.5789473684210527,02:15,False,False claude_opus_5,0,clock_reading,4,20,6,1,0.05,0.3,0.2631578947368421,123,False,False claude_opus_5,0,clock_reading,5,20,10,1,0.05,0.5,0.47368421052631576,104,False,False claude_opus_5,0,combination,1,20,18,7,0.35,0.9,0.8461538461538461,10,False,False claude_opus_5,0,combination,2,20,11,13,0.65,0.55,-0.2857142857142857,C,False,False claude_opus_5,0,combination,3,20,18,8,0.4,0.9,0.8333333333333334,yes,False,False claude_opus_5,0,combination,4,20,7,7,0.35,0.35,0.0,B,False,False claude_opus_5,0,combination,5,20,20,14,0.7,1.0,1.0,connected,False,False claude_opus_5,0,combination3d,1,20,1,7,0.35,0.05,-0.46153846153846156,14,False,False claude_opus_5,0,combination3d,2,20,10,7,0.35,0.5,0.23076923076923078,B,False,False claude_opus_5,0,combination3d,3,20,16,10,0.5,0.8,0.6,yes,False,False claude_opus_5,0,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False claude_opus_5,0,combination3d,5,20,11,10,0.5,0.55,0.1,"same shape, different angle",False,False claude_opus_5,0,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False claude_opus_5,0,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False claude_opus_5,0,compass_bearing,3,20,19,2,0.1,0.95,0.9444444444444444,020,False,False claude_opus_5,0,compass_bearing,4,20,5,1,0.05,0.25,0.21052631578947367,12 degrees counterclockwise,False,False claude_opus_5,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False claude_opus_5,0,coordinate_geometry,1,20,19,2,0.1,0.95,0.9444444444444444,"(-6, -2)",False,False claude_opus_5,0,coordinate_geometry,2,20,20,3,0.15,1.0,1.0,4.47,False,False claude_opus_5,0,coordinate_geometry,3,20,17,5,0.25,0.85,0.8,A and B,False,False claude_opus_5,0,coordinate_geometry,4,20,20,6,0.3,1.0,1.0,less than,False,False claude_opus_5,0,coordinate_geometry,5,20,20,3,0.15,1.0,1.0,3.16,False,False claude_opus_5,0,cube_net,1,20,20,20,1.0,1.0,,6,True,False claude_opus_5,0,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False claude_opus_5,0,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False claude_opus_5,0,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False claude_opus_5,0,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False claude_opus_5,0,cube_structure,1,20,4,6,0.3,0.2,-0.14285714285714285,12,False,False claude_opus_5,0,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False claude_opus_5,0,cube_structure,3,20,14,10,0.5,0.7,0.4,1,False,False claude_opus_5,0,cube_structure,4,20,8,8,0.4,0.4,0.0,2,False,False claude_opus_5,0,cube_structure,5,20,9,8,0.4,0.45,0.08333333333333333,2,False,False claude_opus_5,0,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False claude_opus_5,0,depth_height,2,20,4,6,0.3,0.2,-0.14285714285714285,magenta,False,False claude_opus_5,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False claude_opus_5,0,depth_height,4,20,5,2,0.1,0.25,0.16666666666666666,0.77,False,False claude_opus_5,0,depth_height,5,20,17,11,0.55,0.85,0.6666666666666666,smaller,False,False claude_opus_5,0,embedded_figures,1,20,2,6,0.3,0.1,-0.2857142857142857,13,False,False claude_opus_5,0,embedded_figures,2,20,17,10,0.5,0.85,0.7,6,False,False claude_opus_5,0,embedded_figures,3,20,11,10,0.5,0.55,0.1,D,False,False claude_opus_5,0,embedded_figures,4,20,6,7,0.35,0.3,-0.07692307692307693,6,False,False claude_opus_5,0,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False claude_opus_5,0,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False claude_opus_5,0,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False claude_opus_5,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False claude_opus_5,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False claude_opus_5,0,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False claude_opus_5,0,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False claude_opus_5,0,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False claude_opus_5,0,fold_punch,3,20,9,7,0.35,0.45,0.15384615384615385,B,False,False claude_opus_5,0,fold_punch,4,20,14,7,0.35,0.7,0.5384615384615384,exactly half,False,False claude_opus_5,0,fold_punch,5,20,20,10,0.5,1.0,1.0,16,False,False claude_opus_5,0,gauge_reading,1,20,17,15,0.75,0.85,0.4,0,False,False claude_opus_5,0,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False claude_opus_5,0,gauge_reading,3,20,19,2,0.1,0.95,0.9444444444444444,100,False,False claude_opus_5,0,gauge_reading,4,20,4,14,0.7,0.2,-1.6666666666666667,no danger zone marked,False,False claude_opus_5,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False claude_opus_5,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False claude_opus_5,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False claude_opus_5,0,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False claude_opus_5,0,gear_train,4,20,15,1,0.05,0.75,0.7368421052631579,101.8,False,False claude_opus_5,0,gear_train,5,20,15,8,0.4,0.75,0.5833333333333334,decrease; direction unchanged,False,False claude_opus_5,0,hex_pathfinding,1,20,13,3,0.15,0.65,0.5882352941176471,5,False,False claude_opus_5,0,hex_pathfinding,2,20,17,11,0.55,0.85,0.6666666666666666,walkable,False,False claude_opus_5,0,hex_pathfinding,3,20,14,6,0.3,0.7,0.5714285714285714,5,False,False claude_opus_5,0,hex_pathfinding,4,20,4,5,0.25,0.2,-0.06666666666666667,multiple (4),False,False claude_opus_5,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False claude_opus_5,0,impossible_object,1,20,14,11,0.55,0.7,0.3333333333333333,5,False,False claude_opus_5,0,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False claude_opus_5,0,impossible_object,3,20,10,7,0.35,0.5,0.23076923076923078,C,False,False claude_opus_5,0,impossible_object,4,20,6,8,0.4,0.3,-0.16666666666666666,6,False,False claude_opus_5,0,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False claude_opus_5,0,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False claude_opus_5,0,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False claude_opus_5,0,laser_mirror,3,20,20,8,0.4,1.0,1.0,1,False,False claude_opus_5,0,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False claude_opus_5,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False claude_opus_5,0,line_intersection,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False claude_opus_5,0,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False claude_opus_5,0,line_intersection,3,20,20,5,0.25,1.0,1.0,left,False,False claude_opus_5,0,line_intersection,4,20,20,4,0.2,1.0,1.0,"0,0",False,False claude_opus_5,0,line_intersection,5,20,20,10,0.5,1.0,1.0,0,False,False claude_opus_5,0,nested_hexagons,1,20,15,5,0.25,0.75,0.6666666666666666,4,False,False claude_opus_5,0,nested_hexagons,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False claude_opus_5,0,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False claude_opus_5,0,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False claude_opus_5,0,nested_hexagons,5,20,18,10,0.5,0.9,0.8,no,False,False claude_opus_5,0,nested_squares,1,20,14,4,0.2,0.7,0.625,5,False,False claude_opus_5,0,nested_squares,2,20,13,11,0.55,0.65,0.2222222222222222,changing,False,False claude_opus_5,0,nested_squares,3,20,3,2,0.1,0.15,0.05555555555555555,5.3,False,False claude_opus_5,0,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False claude_opus_5,0,nested_squares,5,20,19,12,0.6,0.95,0.875,yes,False,False claude_opus_5,0,nested_triangles,1,20,14,6,0.3,0.7,0.5714285714285714,4,False,False claude_opus_5,0,nested_triangles,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False claude_opus_5,0,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False claude_opus_5,0,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False claude_opus_5,0,nested_triangles,5,20,19,12,0.6,0.95,0.875,yes,False,False claude_opus_5,0,occluded_pattern,1,20,20,4,0.2,1.0,1.0,8,False,False claude_opus_5,0,occluded_pattern,2,20,12,5,0.25,0.6,0.4666666666666667,10,False,False claude_opus_5,0,occluded_pattern,3,20,15,9,0.45,0.75,0.5454545454545454,circle,False,False claude_opus_5,0,occluded_pattern,4,20,12,6,0.3,0.6,0.42857142857142855,2,False,False claude_opus_5,0,occluded_pattern,5,20,11,5,0.25,0.55,0.4,11,False,False claude_opus_5,0,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False claude_opus_5,0,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False claude_opus_5,0,optical_illusion,3,20,14,9,0.45,0.7,0.45454545454545453,equal,False,False claude_opus_5,0,optical_illusion,4,20,7,9,0.45,0.35,-0.18181818181818182,0,False,False claude_opus_5,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False claude_opus_5,0,orthographic,1,20,17,6,0.3,0.85,0.7857142857142857,6,False,False claude_opus_5,0,orthographic,2,20,14,5,0.25,0.7,0.6,9,False,False claude_opus_5,0,orthographic,3,20,14,5,0.25,0.7,0.6,front,False,False claude_opus_5,0,orthographic,4,20,12,8,0.4,0.6,0.3333333333333333,not unique,False,False claude_opus_5,0,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False claude_opus_5,0,overlap_circles,1,20,10,5,0.25,0.5,0.3333333333333333,10,False,False claude_opus_5,0,overlap_circles,2,20,12,11,0.55,0.6,0.1111111111111111,no,False,False claude_opus_5,0,overlap_circles,3,20,11,3,0.15,0.55,0.47058823529411764,1.8,False,False claude_opus_5,0,overlap_circles,4,20,14,6,0.3,0.7,0.5714285714285714,0,False,False claude_opus_5,0,overlap_circles,5,20,4,4,0.2,0.2,0.0,17,False,False claude_opus_5,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False claude_opus_5,0,physical_stability,2,20,19,11,0.55,0.95,0.8888888888888888,right,False,False claude_opus_5,0,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False claude_opus_5,0,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False claude_opus_5,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False claude_opus_5,0,polyhedron,1,20,12,8,0.4,0.6,0.3333333333333333,14,False,False claude_opus_5,0,polyhedron,2,20,16,19,0.95,0.8,-3.0,convex,False,False claude_opus_5,0,polyhedron,3,20,8,7,0.35,0.4,0.07692307692307693,mixed,False,False claude_opus_5,0,polyhedron,4,20,18,6,0.3,0.9,0.8571428571428571,no,False,False claude_opus_5,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False claude_opus_5,0,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False claude_opus_5,0,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False claude_opus_5,0,projectile_motion,3,20,15,1,0.05,0.75,0.7368421052631579,13.4,False,False claude_opus_5,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False claude_opus_5,0,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False claude_opus_5,0,rotation_matching,1,20,15,8,0.4,0.75,0.5833333333333334,7,False,False claude_opus_5,0,rotation_matching,2,20,7,6,0.3,0.35,0.07142857142857142,B,False,False claude_opus_5,0,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False claude_opus_5,0,rotation_matching,4,20,6,7,0.35,0.3,-0.07692307692307693,A,False,False claude_opus_5,0,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False claude_opus_5,0,route,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False claude_opus_5,0,route,2,20,9,11,0.55,0.45,-0.2222222222222222,1,False,False claude_opus_5,0,route,3,20,5,5,0.25,0.25,0.0,4,False,False claude_opus_5,0,route,4,20,1,1,0.05,0.05,0.0,AC,False,False claude_opus_5,0,route,5,20,5,6,0.3,0.25,-0.07142857142857142,4,False,False claude_opus_5,0,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False claude_opus_5,0,rpm,2,20,19,4,0.2,0.95,0.9375,1,False,False claude_opus_5,0,rpm,3,20,14,5,0.25,0.7,0.6,correct shape but wrong color,False,False claude_opus_5,0,rpm,4,20,12,5,0.25,0.6,0.4666666666666667,8,False,False claude_opus_5,0,rpm,5,20,19,11,0.55,0.95,0.8888888888888888,9,False,False claude_opus_5,0,shadow_inference,1,20,19,10,0.5,0.95,0.9,2,False,False claude_opus_5,0,shadow_inference,2,20,16,7,0.35,0.8,0.6923076923076923,right,False,False claude_opus_5,0,shadow_inference,3,20,15,7,0.35,0.75,0.6153846153846154,low,False,False claude_opus_5,0,shadow_inference,4,20,6,8,0.4,0.3,-0.16666666666666666,same,False,False claude_opus_5,0,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False claude_opus_5,0,surface_topology,1,20,16,8,0.4,0.8,0.6666666666666666,3,False,False claude_opus_5,0,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False claude_opus_5,0,surface_topology,3,20,11,7,0.35,0.55,0.3076923076923077,0,False,False claude_opus_5,0,surface_topology,4,20,15,8,0.4,0.75,0.5833333333333334,-4; orientable,False,False claude_opus_5,0,surface_topology,5,20,13,8,0.4,0.65,0.4166666666666667,-5,False,False claude_opus_5,0,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False claude_opus_5,0,symmetry_pattern,2,20,17,11,0.55,0.85,0.6666666666666666,broken,False,False claude_opus_5,0,symmetry_pattern,3,20,13,6,0.3,0.65,0.5,mirror,False,False claude_opus_5,0,symmetry_pattern,4,20,6,7,0.35,0.3,-0.07692307692307693,8,False,False claude_opus_5,0,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False claude_opus_5,15,angle_estimation,1,20,20,7,0.35,1.0,1.0,2,False,False claude_opus_5,15,angle_estimation,2,20,18,4,0.2,0.9,0.875,Angle 2,False,False claude_opus_5,15,angle_estimation,3,20,17,6,0.3,0.85,0.7857142857142857,greater than,False,False claude_opus_5,15,angle_estimation,4,20,11,4,0.2,0.55,0.4375,180,False,False claude_opus_5,15,angle_estimation,5,20,7,6,0.3,0.35,0.07142857142857142,exceeds 180,False,False claude_opus_5,15,clock_reading,1,20,19,4,0.2,0.95,0.9375,10,False,False claude_opus_5,15,clock_reading,2,20,19,10,0.5,0.95,0.9,after,False,False claude_opus_5,15,clock_reading,3,20,10,1,0.05,0.5,0.47368421052631576,02:15,False,False claude_opus_5,15,clock_reading,4,20,6,1,0.05,0.3,0.2631578947368421,123,False,False claude_opus_5,15,clock_reading,5,20,11,1,0.05,0.55,0.5263157894736842,104,False,False claude_opus_5,15,combination,1,20,11,7,0.35,0.55,0.3076923076923077,10,False,False claude_opus_5,15,combination,2,20,10,13,0.65,0.5,-0.42857142857142855,C,False,False claude_opus_5,15,combination,3,20,16,8,0.4,0.8,0.6666666666666666,yes,False,False claude_opus_5,15,combination,4,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False claude_opus_5,15,combination,5,20,20,14,0.7,1.0,1.0,connected,False,False claude_opus_5,15,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False claude_opus_5,15,combination3d,2,20,11,7,0.35,0.55,0.3076923076923077,B,False,False claude_opus_5,15,combination3d,3,20,16,10,0.5,0.8,0.6,yes,False,False claude_opus_5,15,combination3d,4,20,1,5,0.25,0.05,-0.26666666666666666,D,False,False claude_opus_5,15,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False claude_opus_5,15,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False claude_opus_5,15,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False claude_opus_5,15,compass_bearing,3,20,20,2,0.1,1.0,1.0,020,False,False claude_opus_5,15,compass_bearing,4,20,7,1,0.05,0.35,0.3157894736842105,12 degrees counterclockwise,False,False claude_opus_5,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False claude_opus_5,15,coordinate_geometry,1,20,20,2,0.1,1.0,1.0,"(-6, -2)",False,False claude_opus_5,15,coordinate_geometry,2,20,16,3,0.15,0.8,0.7647058823529411,4.47,False,False claude_opus_5,15,coordinate_geometry,3,20,14,5,0.25,0.7,0.6,A and B,False,False claude_opus_5,15,coordinate_geometry,4,20,20,6,0.3,1.0,1.0,less than,False,False claude_opus_5,15,coordinate_geometry,5,20,15,3,0.15,0.75,0.7058823529411765,3.16,False,False claude_opus_5,15,cube_net,1,20,20,20,1.0,1.0,,6,True,False claude_opus_5,15,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False claude_opus_5,15,cube_net,3,20,19,4,0.2,0.95,0.9375,2,False,False claude_opus_5,15,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False claude_opus_5,15,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False claude_opus_5,15,cube_structure,1,20,2,6,0.3,0.1,-0.2857142857142857,12,False,False claude_opus_5,15,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False claude_opus_5,15,cube_structure,3,20,16,10,0.5,0.8,0.6,1,False,False claude_opus_5,15,cube_structure,4,20,7,8,0.4,0.35,-0.08333333333333333,2,False,False claude_opus_5,15,cube_structure,5,20,9,8,0.4,0.45,0.08333333333333333,2,False,False claude_opus_5,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False claude_opus_5,15,depth_height,2,20,7,6,0.3,0.35,0.07142857142857142,magenta,False,False claude_opus_5,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False claude_opus_5,15,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False claude_opus_5,15,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False claude_opus_5,15,embedded_figures,1,20,3,6,0.3,0.15,-0.21428571428571427,13,False,False claude_opus_5,15,embedded_figures,2,20,15,10,0.5,0.75,0.5,6,False,False claude_opus_5,15,embedded_figures,3,20,7,10,0.5,0.35,-0.3,D,False,False claude_opus_5,15,embedded_figures,4,20,5,7,0.35,0.25,-0.15384615384615385,6,False,False claude_opus_5,15,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False claude_opus_5,15,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False claude_opus_5,15,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False claude_opus_5,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False claude_opus_5,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False claude_opus_5,15,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False claude_opus_5,15,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False claude_opus_5,15,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False claude_opus_5,15,fold_punch,3,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False claude_opus_5,15,fold_punch,4,20,14,7,0.35,0.7,0.5384615384615384,exactly half,False,False claude_opus_5,15,fold_punch,5,20,20,10,0.5,1.0,1.0,16,False,False claude_opus_5,15,gauge_reading,1,20,18,15,0.75,0.9,0.6,0,False,False claude_opus_5,15,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False claude_opus_5,15,gauge_reading,3,20,18,2,0.1,0.9,0.8888888888888888,100,False,False claude_opus_5,15,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False claude_opus_5,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False claude_opus_5,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False claude_opus_5,15,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False claude_opus_5,15,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False claude_opus_5,15,gear_train,4,20,15,1,0.05,0.75,0.7368421052631579,101.8,False,False claude_opus_5,15,gear_train,5,20,11,8,0.4,0.55,0.25,decrease; direction unchanged,False,False claude_opus_5,15,hex_pathfinding,1,20,7,3,0.15,0.35,0.23529411764705882,5,False,False claude_opus_5,15,hex_pathfinding,2,20,15,11,0.55,0.75,0.4444444444444444,walkable,False,False claude_opus_5,15,hex_pathfinding,3,20,12,6,0.3,0.6,0.42857142857142855,5,False,False claude_opus_5,15,hex_pathfinding,4,20,2,5,0.25,0.1,-0.2,multiple (4),False,False claude_opus_5,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False claude_opus_5,15,impossible_object,1,20,17,11,0.55,0.85,0.6666666666666666,5,False,False claude_opus_5,15,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False claude_opus_5,15,impossible_object,3,20,4,7,0.35,0.2,-0.23076923076923078,C,False,False claude_opus_5,15,impossible_object,4,20,2,8,0.4,0.1,-0.5,6,False,False claude_opus_5,15,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False claude_opus_5,15,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False claude_opus_5,15,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False claude_opus_5,15,laser_mirror,3,20,20,8,0.4,1.0,1.0,1,False,False claude_opus_5,15,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False claude_opus_5,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False claude_opus_5,15,line_intersection,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False claude_opus_5,15,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False claude_opus_5,15,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False claude_opus_5,15,line_intersection,4,20,20,4,0.2,1.0,1.0,"0,0",False,False claude_opus_5,15,line_intersection,5,20,19,10,0.5,0.95,0.9,0,False,False claude_opus_5,15,nested_hexagons,1,20,11,5,0.25,0.55,0.4,4,False,False claude_opus_5,15,nested_hexagons,2,20,17,13,0.65,0.85,0.5714285714285714,constant,False,False claude_opus_5,15,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False claude_opus_5,15,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False claude_opus_5,15,nested_hexagons,5,20,19,10,0.5,0.95,0.9,no,False,False claude_opus_5,15,nested_squares,1,20,13,4,0.2,0.65,0.5625,5,False,False claude_opus_5,15,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False claude_opus_5,15,nested_squares,3,20,2,2,0.1,0.1,0.0,5.3,False,False claude_opus_5,15,nested_squares,4,20,1,3,0.15,0.05,-0.11764705882352941,0,False,False claude_opus_5,15,nested_squares,5,20,19,12,0.6,0.95,0.875,yes,False,False claude_opus_5,15,nested_triangles,1,20,16,6,0.3,0.8,0.7142857142857143,4,False,False claude_opus_5,15,nested_triangles,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False claude_opus_5,15,nested_triangles,3,20,2,2,0.1,0.1,0.0,4.1,False,False claude_opus_5,15,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False claude_opus_5,15,nested_triangles,5,20,19,12,0.6,0.95,0.875,yes,False,False claude_opus_5,15,occluded_pattern,1,20,19,4,0.2,0.95,0.9375,8,False,False claude_opus_5,15,occluded_pattern,2,20,12,5,0.25,0.6,0.4666666666666667,10,False,False claude_opus_5,15,occluded_pattern,3,20,17,9,0.45,0.85,0.7272727272727273,circle,False,False claude_opus_5,15,occluded_pattern,4,20,11,6,0.3,0.55,0.35714285714285715,2,False,False claude_opus_5,15,occluded_pattern,5,20,9,5,0.25,0.45,0.26666666666666666,11,False,False claude_opus_5,15,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False claude_opus_5,15,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False claude_opus_5,15,optical_illusion,3,20,13,9,0.45,0.65,0.36363636363636365,equal,False,False claude_opus_5,15,optical_illusion,4,20,8,9,0.45,0.4,-0.09090909090909091,0,False,False claude_opus_5,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False claude_opus_5,15,orthographic,1,20,16,6,0.3,0.8,0.7142857142857143,6,False,False claude_opus_5,15,orthographic,2,20,14,5,0.25,0.7,0.6,9,False,False claude_opus_5,15,orthographic,3,20,13,5,0.25,0.65,0.5333333333333333,front,False,False claude_opus_5,15,orthographic,4,20,13,8,0.4,0.65,0.4166666666666667,not unique,False,False claude_opus_5,15,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False claude_opus_5,15,overlap_circles,1,20,8,5,0.25,0.4,0.2,10,False,False claude_opus_5,15,overlap_circles,2,20,13,11,0.55,0.65,0.2222222222222222,no,False,False claude_opus_5,15,overlap_circles,3,20,9,3,0.15,0.45,0.35294117647058826,1.8,False,False claude_opus_5,15,overlap_circles,4,20,10,6,0.3,0.5,0.2857142857142857,0,False,False claude_opus_5,15,overlap_circles,5,20,3,4,0.2,0.15,-0.0625,17,False,False claude_opus_5,15,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False claude_opus_5,15,physical_stability,2,20,19,11,0.55,0.95,0.8888888888888888,right,False,False claude_opus_5,15,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False claude_opus_5,15,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False claude_opus_5,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False claude_opus_5,15,polyhedron,1,20,11,8,0.4,0.55,0.25,14,False,False claude_opus_5,15,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False claude_opus_5,15,polyhedron,3,20,6,7,0.35,0.3,-0.07692307692307693,mixed,False,False claude_opus_5,15,polyhedron,4,20,17,6,0.3,0.85,0.7857142857142857,no,False,False claude_opus_5,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False claude_opus_5,15,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False claude_opus_5,15,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False claude_opus_5,15,projectile_motion,3,20,15,1,0.05,0.75,0.7368421052631579,13.4,False,False claude_opus_5,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False claude_opus_5,15,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False claude_opus_5,15,rotation_matching,1,20,14,8,0.4,0.7,0.5,7,False,False claude_opus_5,15,rotation_matching,2,20,7,6,0.3,0.35,0.07142857142857142,B,False,False claude_opus_5,15,rotation_matching,3,20,8,4,0.2,0.4,0.25,315,False,False claude_opus_5,15,rotation_matching,4,20,3,7,0.35,0.15,-0.3076923076923077,A,False,False claude_opus_5,15,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False claude_opus_5,15,route,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False claude_opus_5,15,route,2,20,9,11,0.55,0.45,-0.2222222222222222,1,False,False claude_opus_5,15,route,3,20,7,5,0.25,0.35,0.13333333333333333,4,False,False claude_opus_5,15,route,4,20,1,1,0.05,0.05,0.0,AC,False,False claude_opus_5,15,route,5,20,9,6,0.3,0.45,0.21428571428571427,4,False,False claude_opus_5,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False claude_opus_5,15,rpm,2,20,16,4,0.2,0.8,0.75,1,False,False claude_opus_5,15,rpm,3,20,15,5,0.25,0.75,0.6666666666666666,correct shape but wrong color,False,False claude_opus_5,15,rpm,4,20,10,5,0.25,0.5,0.3333333333333333,8,False,False claude_opus_5,15,rpm,5,20,18,11,0.55,0.9,0.7777777777777778,9,False,False claude_opus_5,15,shadow_inference,1,20,11,10,0.5,0.55,0.1,2,False,False claude_opus_5,15,shadow_inference,2,20,15,7,0.35,0.75,0.6153846153846154,right,False,False claude_opus_5,15,shadow_inference,3,20,16,7,0.35,0.8,0.6923076923076923,low,False,False claude_opus_5,15,shadow_inference,4,20,8,8,0.4,0.4,0.0,same,False,False claude_opus_5,15,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False claude_opus_5,15,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False claude_opus_5,15,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False claude_opus_5,15,surface_topology,3,20,11,7,0.35,0.55,0.3076923076923077,0,False,False claude_opus_5,15,surface_topology,4,20,16,8,0.4,0.8,0.6666666666666666,-4; orientable,False,False claude_opus_5,15,surface_topology,5,20,13,8,0.4,0.65,0.4166666666666667,-5,False,False claude_opus_5,15,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False claude_opus_5,15,symmetry_pattern,2,20,14,11,0.55,0.7,0.3333333333333333,broken,False,False claude_opus_5,15,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False claude_opus_5,15,symmetry_pattern,4,20,7,7,0.35,0.35,0.0,8,False,False claude_opus_5,15,symmetry_pattern,5,20,18,20,1.0,0.9,,yes,True,False claude_opus_5,25,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False claude_opus_5,25,angle_estimation,2,20,18,4,0.2,0.9,0.875,Angle 2,False,False claude_opus_5,25,angle_estimation,3,20,15,6,0.3,0.75,0.6428571428571429,greater than,False,False claude_opus_5,25,angle_estimation,4,20,9,4,0.2,0.45,0.3125,180,False,False claude_opus_5,25,angle_estimation,5,20,7,6,0.3,0.35,0.07142857142857142,exceeds 180,False,False claude_opus_5,25,clock_reading,1,20,19,4,0.2,0.95,0.9375,10,False,False claude_opus_5,25,clock_reading,2,20,19,10,0.5,0.95,0.9,after,False,False claude_opus_5,25,clock_reading,3,20,9,1,0.05,0.45,0.42105263157894735,02:15,False,False claude_opus_5,25,clock_reading,4,20,5,1,0.05,0.25,0.21052631578947367,123,False,False claude_opus_5,25,clock_reading,5,20,6,1,0.05,0.3,0.2631578947368421,104,False,False claude_opus_5,25,combination,1,20,11,7,0.35,0.55,0.3076923076923077,10,False,False claude_opus_5,25,combination,2,20,7,13,0.65,0.35,-0.8571428571428571,C,False,False claude_opus_5,25,combination,3,20,15,8,0.4,0.75,0.5833333333333334,yes,False,False claude_opus_5,25,combination,4,20,9,7,0.35,0.45,0.15384615384615385,B,False,False claude_opus_5,25,combination,5,20,20,14,0.7,1.0,1.0,connected,False,False claude_opus_5,25,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False claude_opus_5,25,combination3d,2,20,11,7,0.35,0.55,0.3076923076923077,B,False,False claude_opus_5,25,combination3d,3,20,14,10,0.5,0.7,0.4,yes,False,False claude_opus_5,25,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False claude_opus_5,25,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False claude_opus_5,25,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False claude_opus_5,25,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False claude_opus_5,25,compass_bearing,3,20,20,2,0.1,1.0,1.0,020,False,False claude_opus_5,25,compass_bearing,4,20,6,1,0.05,0.3,0.2631578947368421,12 degrees counterclockwise,False,False claude_opus_5,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False claude_opus_5,25,coordinate_geometry,1,20,18,2,0.1,0.9,0.8888888888888888,"(-6, -2)",False,False claude_opus_5,25,coordinate_geometry,2,20,17,3,0.15,0.85,0.8235294117647058,4.47,False,False claude_opus_5,25,coordinate_geometry,3,20,17,5,0.25,0.85,0.8,A and B,False,False claude_opus_5,25,coordinate_geometry,4,20,20,6,0.3,1.0,1.0,less than,False,False claude_opus_5,25,coordinate_geometry,5,20,16,3,0.15,0.8,0.7647058823529411,3.16,False,False claude_opus_5,25,cube_net,1,20,20,20,1.0,1.0,,6,True,False claude_opus_5,25,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False claude_opus_5,25,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False claude_opus_5,25,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False claude_opus_5,25,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False claude_opus_5,25,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False claude_opus_5,25,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False claude_opus_5,25,cube_structure,3,20,13,10,0.5,0.65,0.3,1,False,False claude_opus_5,25,cube_structure,4,20,8,8,0.4,0.4,0.0,2,False,False claude_opus_5,25,cube_structure,5,20,10,8,0.4,0.5,0.16666666666666666,2,False,False claude_opus_5,25,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False claude_opus_5,25,depth_height,2,20,7,6,0.3,0.35,0.07142857142857142,magenta,False,False claude_opus_5,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False claude_opus_5,25,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False claude_opus_5,25,depth_height,5,20,16,11,0.55,0.8,0.5555555555555556,smaller,False,False claude_opus_5,25,embedded_figures,1,20,4,6,0.3,0.2,-0.14285714285714285,13,False,False claude_opus_5,25,embedded_figures,2,20,17,10,0.5,0.85,0.7,6,False,False claude_opus_5,25,embedded_figures,3,20,10,10,0.5,0.5,0.0,D,False,False claude_opus_5,25,embedded_figures,4,20,6,7,0.35,0.3,-0.07692307692307693,6,False,False claude_opus_5,25,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False claude_opus_5,25,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False claude_opus_5,25,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False claude_opus_5,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False claude_opus_5,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False claude_opus_5,25,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False claude_opus_5,25,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False claude_opus_5,25,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False claude_opus_5,25,fold_punch,3,20,9,7,0.35,0.45,0.15384615384615385,B,False,False claude_opus_5,25,fold_punch,4,20,13,7,0.35,0.65,0.46153846153846156,exactly half,False,False claude_opus_5,25,fold_punch,5,20,20,10,0.5,1.0,1.0,16,False,False claude_opus_5,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False claude_opus_5,25,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False claude_opus_5,25,gauge_reading,3,20,19,2,0.1,0.95,0.9444444444444444,100,False,False claude_opus_5,25,gauge_reading,4,20,4,14,0.7,0.2,-1.6666666666666667,no danger zone marked,False,False claude_opus_5,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False claude_opus_5,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False claude_opus_5,25,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False claude_opus_5,25,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False claude_opus_5,25,gear_train,4,20,15,1,0.05,0.75,0.7368421052631579,101.8,False,False claude_opus_5,25,gear_train,5,20,11,8,0.4,0.55,0.25,decrease; direction unchanged,False,False claude_opus_5,25,hex_pathfinding,1,20,4,3,0.15,0.2,0.058823529411764705,5,False,False claude_opus_5,25,hex_pathfinding,2,20,14,11,0.55,0.7,0.3333333333333333,walkable,False,False claude_opus_5,25,hex_pathfinding,3,20,10,6,0.3,0.5,0.2857142857142857,5,False,False claude_opus_5,25,hex_pathfinding,4,20,2,5,0.25,0.1,-0.2,multiple (4),False,False claude_opus_5,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False claude_opus_5,25,impossible_object,1,20,17,11,0.55,0.85,0.6666666666666666,5,False,False claude_opus_5,25,impossible_object,2,20,3,16,0.8,0.15,-3.25,yes,False,False claude_opus_5,25,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False claude_opus_5,25,impossible_object,4,20,3,8,0.4,0.15,-0.4166666666666667,6,False,False claude_opus_5,25,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False claude_opus_5,25,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False claude_opus_5,25,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False claude_opus_5,25,laser_mirror,3,20,20,8,0.4,1.0,1.0,1,False,False claude_opus_5,25,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False claude_opus_5,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False claude_opus_5,25,line_intersection,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False claude_opus_5,25,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False claude_opus_5,25,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False claude_opus_5,25,line_intersection,4,20,18,4,0.2,0.9,0.875,"0,0",False,False claude_opus_5,25,line_intersection,5,20,18,10,0.5,0.9,0.8,0,False,False claude_opus_5,25,nested_hexagons,1,20,13,5,0.25,0.65,0.5333333333333333,4,False,False claude_opus_5,25,nested_hexagons,2,20,18,13,0.65,0.9,0.7142857142857143,constant,False,False claude_opus_5,25,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False claude_opus_5,25,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False claude_opus_5,25,nested_hexagons,5,20,19,10,0.5,0.95,0.9,no,False,False claude_opus_5,25,nested_squares,1,20,12,4,0.2,0.6,0.5,5,False,False claude_opus_5,25,nested_squares,2,20,13,11,0.55,0.65,0.2222222222222222,changing,False,False claude_opus_5,25,nested_squares,3,20,3,2,0.1,0.15,0.05555555555555555,5.3,False,False claude_opus_5,25,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False claude_opus_5,25,nested_squares,5,20,19,12,0.6,0.95,0.875,yes,False,False claude_opus_5,25,nested_triangles,1,20,15,6,0.3,0.75,0.6428571428571429,4,False,False claude_opus_5,25,nested_triangles,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False claude_opus_5,25,nested_triangles,3,20,1,2,0.1,0.05,-0.05555555555555555,4.1,False,False claude_opus_5,25,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False claude_opus_5,25,nested_triangles,5,20,16,12,0.6,0.8,0.5,yes,False,False claude_opus_5,25,occluded_pattern,1,20,19,4,0.2,0.95,0.9375,8,False,False claude_opus_5,25,occluded_pattern,2,20,13,5,0.25,0.65,0.5333333333333333,10,False,False claude_opus_5,25,occluded_pattern,3,20,17,9,0.45,0.85,0.7272727272727273,circle,False,False claude_opus_5,25,occluded_pattern,4,20,10,6,0.3,0.5,0.2857142857142857,2,False,False claude_opus_5,25,occluded_pattern,5,20,9,5,0.25,0.45,0.26666666666666666,11,False,False claude_opus_5,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False claude_opus_5,25,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False claude_opus_5,25,optical_illusion,3,20,12,9,0.45,0.6,0.2727272727272727,equal,False,False claude_opus_5,25,optical_illusion,4,20,8,9,0.45,0.4,-0.09090909090909091,0,False,False claude_opus_5,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False claude_opus_5,25,orthographic,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False claude_opus_5,25,orthographic,2,20,7,5,0.25,0.35,0.13333333333333333,9,False,False claude_opus_5,25,orthographic,3,20,13,5,0.25,0.65,0.5333333333333333,front,False,False claude_opus_5,25,orthographic,4,20,14,8,0.4,0.7,0.5,not unique,False,False claude_opus_5,25,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False claude_opus_5,25,overlap_circles,1,20,10,5,0.25,0.5,0.3333333333333333,10,False,False claude_opus_5,25,overlap_circles,2,20,10,11,0.55,0.5,-0.1111111111111111,no,False,False claude_opus_5,25,overlap_circles,3,20,7,3,0.15,0.35,0.23529411764705882,1.8,False,False claude_opus_5,25,overlap_circles,4,20,6,6,0.3,0.3,0.0,0,False,False claude_opus_5,25,overlap_circles,5,20,3,4,0.2,0.15,-0.0625,17,False,False claude_opus_5,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False claude_opus_5,25,physical_stability,2,20,18,11,0.55,0.9,0.7777777777777778,right,False,False claude_opus_5,25,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False claude_opus_5,25,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False claude_opus_5,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False claude_opus_5,25,polyhedron,1,20,8,8,0.4,0.4,0.0,14,False,False claude_opus_5,25,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False claude_opus_5,25,polyhedron,3,20,7,7,0.35,0.35,0.0,mixed,False,False claude_opus_5,25,polyhedron,4,20,17,6,0.3,0.85,0.7857142857142857,no,False,False claude_opus_5,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False claude_opus_5,25,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False claude_opus_5,25,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False claude_opus_5,25,projectile_motion,3,20,14,1,0.05,0.7,0.6842105263157895,13.4,False,False claude_opus_5,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False claude_opus_5,25,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False claude_opus_5,25,rotation_matching,1,20,17,8,0.4,0.85,0.75,7,False,False claude_opus_5,25,rotation_matching,2,20,9,6,0.3,0.45,0.21428571428571427,B,False,False claude_opus_5,25,rotation_matching,3,20,2,4,0.2,0.1,-0.125,315,False,False claude_opus_5,25,rotation_matching,4,20,4,7,0.35,0.2,-0.23076923076923078,A,False,False claude_opus_5,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False claude_opus_5,25,route,1,20,16,6,0.3,0.8,0.7142857142857143,6,False,False claude_opus_5,25,route,2,20,10,11,0.55,0.5,-0.1111111111111111,1,False,False claude_opus_5,25,route,3,20,7,5,0.25,0.35,0.13333333333333333,4,False,False claude_opus_5,25,route,4,20,1,1,0.05,0.05,0.0,AC,False,False claude_opus_5,25,route,5,20,8,6,0.3,0.4,0.14285714285714285,4,False,False claude_opus_5,25,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False claude_opus_5,25,rpm,2,20,17,4,0.2,0.85,0.8125,1,False,False claude_opus_5,25,rpm,3,20,14,5,0.25,0.7,0.6,correct shape but wrong color,False,False claude_opus_5,25,rpm,4,20,11,5,0.25,0.55,0.4,8,False,False claude_opus_5,25,rpm,5,20,18,11,0.55,0.9,0.7777777777777778,9,False,False claude_opus_5,25,shadow_inference,1,20,4,10,0.5,0.2,-0.6,2,False,False claude_opus_5,25,shadow_inference,2,20,7,7,0.35,0.35,0.0,right,False,False claude_opus_5,25,shadow_inference,3,20,13,7,0.35,0.65,0.46153846153846156,low,False,False claude_opus_5,25,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False claude_opus_5,25,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False claude_opus_5,25,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False claude_opus_5,25,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False claude_opus_5,25,surface_topology,3,20,10,7,0.35,0.5,0.23076923076923078,0,False,False claude_opus_5,25,surface_topology,4,20,16,8,0.4,0.8,0.6666666666666666,-4; orientable,False,False claude_opus_5,25,surface_topology,5,20,15,8,0.4,0.75,0.5833333333333334,-5,False,False claude_opus_5,25,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False claude_opus_5,25,symmetry_pattern,2,20,16,11,0.55,0.8,0.5555555555555556,broken,False,False claude_opus_5,25,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False claude_opus_5,25,symmetry_pattern,4,20,6,7,0.35,0.3,-0.07692307692307693,8,False,False claude_opus_5,25,symmetry_pattern,5,20,16,20,1.0,0.8,,yes,True,False claude_opus_5,40,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False claude_opus_5,40,angle_estimation,2,20,16,4,0.2,0.8,0.75,Angle 2,False,False claude_opus_5,40,angle_estimation,3,20,18,6,0.3,0.9,0.8571428571428571,greater than,False,False claude_opus_5,40,angle_estimation,4,20,9,4,0.2,0.45,0.3125,180,False,False claude_opus_5,40,angle_estimation,5,20,7,6,0.3,0.35,0.07142857142857142,exceeds 180,False,False claude_opus_5,40,clock_reading,1,20,18,4,0.2,0.9,0.875,10,False,False claude_opus_5,40,clock_reading,2,20,18,10,0.5,0.9,0.8,after,False,False claude_opus_5,40,clock_reading,3,20,9,1,0.05,0.45,0.42105263157894735,02:15,False,False claude_opus_5,40,clock_reading,4,20,3,1,0.05,0.15,0.10526315789473684,123,False,False claude_opus_5,40,clock_reading,5,20,7,1,0.05,0.35,0.3157894736842105,104,False,False claude_opus_5,40,combination,1,20,9,7,0.35,0.45,0.15384615384615385,10,False,False claude_opus_5,40,combination,2,20,10,13,0.65,0.5,-0.42857142857142855,C,False,False claude_opus_5,40,combination,3,20,15,8,0.4,0.75,0.5833333333333334,yes,False,False claude_opus_5,40,combination,4,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False claude_opus_5,40,combination,5,20,20,14,0.7,1.0,1.0,connected,False,False claude_opus_5,40,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False claude_opus_5,40,combination3d,2,20,13,7,0.35,0.65,0.46153846153846156,B,False,False claude_opus_5,40,combination3d,3,20,13,10,0.5,0.65,0.3,yes,False,False claude_opus_5,40,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False claude_opus_5,40,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False claude_opus_5,40,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False claude_opus_5,40,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False claude_opus_5,40,compass_bearing,3,20,19,2,0.1,0.95,0.9444444444444444,020,False,False claude_opus_5,40,compass_bearing,4,20,2,1,0.05,0.1,0.05263157894736842,12 degrees counterclockwise,False,False claude_opus_5,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False claude_opus_5,40,coordinate_geometry,1,20,4,2,0.1,0.2,0.1111111111111111,"(-6, -2)",False,False claude_opus_5,40,coordinate_geometry,2,20,2,3,0.15,0.1,-0.058823529411764705,4.47,False,False claude_opus_5,40,coordinate_geometry,3,20,12,5,0.25,0.6,0.4666666666666667,A and B,False,False claude_opus_5,40,coordinate_geometry,4,20,17,6,0.3,0.85,0.7857142857142857,less than,False,False claude_opus_5,40,coordinate_geometry,5,20,6,3,0.15,0.3,0.17647058823529413,3.16,False,False claude_opus_5,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False claude_opus_5,40,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False claude_opus_5,40,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False claude_opus_5,40,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False claude_opus_5,40,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False claude_opus_5,40,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False claude_opus_5,40,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False claude_opus_5,40,cube_structure,3,20,15,10,0.5,0.75,0.5,1,False,False claude_opus_5,40,cube_structure,4,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False claude_opus_5,40,cube_structure,5,20,10,8,0.4,0.5,0.16666666666666666,2,False,False claude_opus_5,40,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False claude_opus_5,40,depth_height,2,20,5,6,0.3,0.25,-0.07142857142857142,magenta,False,False claude_opus_5,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False claude_opus_5,40,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False claude_opus_5,40,depth_height,5,20,16,11,0.55,0.8,0.5555555555555556,smaller,False,False claude_opus_5,40,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False claude_opus_5,40,embedded_figures,2,20,17,10,0.5,0.85,0.7,6,False,False claude_opus_5,40,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False claude_opus_5,40,embedded_figures,4,20,6,7,0.35,0.3,-0.07692307692307693,6,False,False claude_opus_5,40,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False claude_opus_5,40,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False claude_opus_5,40,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False claude_opus_5,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False claude_opus_5,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False claude_opus_5,40,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False claude_opus_5,40,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False claude_opus_5,40,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False claude_opus_5,40,fold_punch,3,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False claude_opus_5,40,fold_punch,4,20,13,7,0.35,0.65,0.46153846153846156,exactly half,False,False claude_opus_5,40,fold_punch,5,20,20,10,0.5,1.0,1.0,16,False,False claude_opus_5,40,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False claude_opus_5,40,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False claude_opus_5,40,gauge_reading,3,20,19,2,0.1,0.95,0.9444444444444444,100,False,False claude_opus_5,40,gauge_reading,4,20,2,14,0.7,0.1,-2.0,no danger zone marked,False,False claude_opus_5,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False claude_opus_5,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False claude_opus_5,40,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False claude_opus_5,40,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False claude_opus_5,40,gear_train,4,20,14,1,0.05,0.7,0.6842105263157895,101.8,False,False claude_opus_5,40,gear_train,5,20,12,8,0.4,0.6,0.3333333333333333,decrease; direction unchanged,False,False claude_opus_5,40,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False claude_opus_5,40,hex_pathfinding,2,20,15,11,0.55,0.75,0.4444444444444444,walkable,False,False claude_opus_5,40,hex_pathfinding,3,20,6,6,0.3,0.3,0.0,5,False,False claude_opus_5,40,hex_pathfinding,4,20,1,5,0.25,0.05,-0.26666666666666666,multiple (4),False,False claude_opus_5,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False claude_opus_5,40,impossible_object,1,20,13,11,0.55,0.65,0.2222222222222222,5,False,False claude_opus_5,40,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False claude_opus_5,40,impossible_object,3,20,2,7,0.35,0.1,-0.38461538461538464,C,False,False claude_opus_5,40,impossible_object,4,20,1,8,0.4,0.05,-0.5833333333333334,6,False,False claude_opus_5,40,impossible_object,5,20,2,16,0.8,0.1,-3.5,already constructible,False,False claude_opus_5,40,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False claude_opus_5,40,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False claude_opus_5,40,laser_mirror,3,20,20,8,0.4,1.0,1.0,1,False,False claude_opus_5,40,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False claude_opus_5,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False claude_opus_5,40,line_intersection,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False claude_opus_5,40,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False claude_opus_5,40,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False claude_opus_5,40,line_intersection,4,20,19,4,0.2,0.95,0.9375,"0,0",False,False claude_opus_5,40,line_intersection,5,20,19,10,0.5,0.95,0.9,0,False,False claude_opus_5,40,nested_hexagons,1,20,9,5,0.25,0.45,0.26666666666666666,4,False,False claude_opus_5,40,nested_hexagons,2,20,15,13,0.65,0.75,0.2857142857142857,constant,False,False claude_opus_5,40,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False claude_opus_5,40,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False claude_opus_5,40,nested_hexagons,5,20,19,10,0.5,0.95,0.9,no,False,False claude_opus_5,40,nested_squares,1,20,14,4,0.2,0.7,0.625,5,False,False claude_opus_5,40,nested_squares,2,20,12,11,0.55,0.6,0.1111111111111111,changing,False,False claude_opus_5,40,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False claude_opus_5,40,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False claude_opus_5,40,nested_squares,5,20,19,12,0.6,0.95,0.875,yes,False,False claude_opus_5,40,nested_triangles,1,20,12,6,0.3,0.6,0.42857142857142855,4,False,False claude_opus_5,40,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False claude_opus_5,40,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False claude_opus_5,40,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False claude_opus_5,40,nested_triangles,5,20,16,12,0.6,0.8,0.5,yes,False,False claude_opus_5,40,occluded_pattern,1,20,20,4,0.2,1.0,1.0,8,False,False claude_opus_5,40,occluded_pattern,2,20,15,5,0.25,0.75,0.6666666666666666,10,False,False claude_opus_5,40,occluded_pattern,3,20,16,9,0.45,0.8,0.6363636363636364,circle,False,False claude_opus_5,40,occluded_pattern,4,20,9,6,0.3,0.45,0.21428571428571427,2,False,False claude_opus_5,40,occluded_pattern,5,20,7,5,0.25,0.35,0.13333333333333333,11,False,False claude_opus_5,40,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False claude_opus_5,40,optical_illusion,2,20,19,12,0.6,0.95,0.875,B,False,False claude_opus_5,40,optical_illusion,3,20,12,9,0.45,0.6,0.2727272727272727,equal,False,False claude_opus_5,40,optical_illusion,4,20,8,9,0.45,0.4,-0.09090909090909091,0,False,False claude_opus_5,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False claude_opus_5,40,orthographic,1,20,10,6,0.3,0.5,0.2857142857142857,6,False,False claude_opus_5,40,orthographic,2,20,10,5,0.25,0.5,0.3333333333333333,9,False,False claude_opus_5,40,orthographic,3,20,15,5,0.25,0.75,0.6666666666666666,front,False,False claude_opus_5,40,orthographic,4,20,12,8,0.4,0.6,0.3333333333333333,not unique,False,False claude_opus_5,40,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False claude_opus_5,40,overlap_circles,1,20,9,5,0.25,0.45,0.26666666666666666,10,False,False claude_opus_5,40,overlap_circles,2,20,12,11,0.55,0.6,0.1111111111111111,no,False,False claude_opus_5,40,overlap_circles,3,20,7,3,0.15,0.35,0.23529411764705882,1.8,False,False claude_opus_5,40,overlap_circles,4,20,9,6,0.3,0.45,0.21428571428571427,0,False,False claude_opus_5,40,overlap_circles,5,20,3,4,0.2,0.15,-0.0625,17,False,False claude_opus_5,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False claude_opus_5,40,physical_stability,2,20,17,11,0.55,0.85,0.6666666666666666,right,False,False claude_opus_5,40,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False claude_opus_5,40,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False claude_opus_5,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False claude_opus_5,40,polyhedron,1,20,11,8,0.4,0.55,0.25,14,False,False claude_opus_5,40,polyhedron,2,20,19,19,0.95,0.95,0.0,convex,False,False claude_opus_5,40,polyhedron,3,20,7,7,0.35,0.35,0.0,mixed,False,False claude_opus_5,40,polyhedron,4,20,17,6,0.3,0.85,0.7857142857142857,no,False,False claude_opus_5,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False claude_opus_5,40,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False claude_opus_5,40,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False claude_opus_5,40,projectile_motion,3,20,15,1,0.05,0.75,0.7368421052631579,13.4,False,False claude_opus_5,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False claude_opus_5,40,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False claude_opus_5,40,rotation_matching,1,20,17,8,0.4,0.85,0.75,7,False,False claude_opus_5,40,rotation_matching,2,20,6,6,0.3,0.3,0.0,B,False,False claude_opus_5,40,rotation_matching,3,20,6,4,0.2,0.3,0.125,315,False,False claude_opus_5,40,rotation_matching,4,20,7,7,0.35,0.35,0.0,A,False,False claude_opus_5,40,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False claude_opus_5,40,route,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False claude_opus_5,40,route,2,20,9,11,0.55,0.45,-0.2222222222222222,1,False,False claude_opus_5,40,route,3,20,7,5,0.25,0.35,0.13333333333333333,4,False,False claude_opus_5,40,route,4,20,1,1,0.05,0.05,0.0,AC,False,False claude_opus_5,40,route,5,20,4,6,0.3,0.2,-0.14285714285714285,4,False,False claude_opus_5,40,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False claude_opus_5,40,rpm,2,20,16,4,0.2,0.8,0.75,1,False,False claude_opus_5,40,rpm,3,20,16,5,0.25,0.8,0.7333333333333333,correct shape but wrong color,False,False claude_opus_5,40,rpm,4,20,11,5,0.25,0.55,0.4,8,False,False claude_opus_5,40,rpm,5,20,18,11,0.55,0.9,0.7777777777777778,9,False,False claude_opus_5,40,shadow_inference,1,20,4,10,0.5,0.2,-0.6,2,False,False claude_opus_5,40,shadow_inference,2,20,3,7,0.35,0.15,-0.3076923076923077,right,False,False claude_opus_5,40,shadow_inference,3,20,14,7,0.35,0.7,0.5384615384615384,low,False,False claude_opus_5,40,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False claude_opus_5,40,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False claude_opus_5,40,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False claude_opus_5,40,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False claude_opus_5,40,surface_topology,3,20,10,7,0.35,0.5,0.23076923076923078,0,False,False claude_opus_5,40,surface_topology,4,20,17,8,0.4,0.85,0.75,-4; orientable,False,False claude_opus_5,40,surface_topology,5,20,17,8,0.4,0.85,0.75,-5,False,False claude_opus_5,40,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False claude_opus_5,40,symmetry_pattern,2,20,15,11,0.55,0.75,0.4444444444444444,broken,False,False claude_opus_5,40,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False claude_opus_5,40,symmetry_pattern,4,20,7,7,0.35,0.35,0.0,8,False,False claude_opus_5,40,symmetry_pattern,5,20,19,20,1.0,0.95,,yes,True,False claude_sonnet_5,0,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False claude_sonnet_5,0,angle_estimation,2,20,17,4,0.2,0.85,0.8125,Angle 2,False,False claude_sonnet_5,0,angle_estimation,3,20,13,6,0.3,0.65,0.5,greater than,False,False claude_sonnet_5,0,angle_estimation,4,20,9,4,0.2,0.45,0.3125,180,False,False claude_sonnet_5,0,angle_estimation,5,20,8,6,0.3,0.4,0.14285714285714285,exceeds 180,False,False claude_sonnet_5,0,clock_reading,1,20,7,4,0.2,0.35,0.1875,10,False,False claude_sonnet_5,0,clock_reading,2,20,11,10,0.5,0.55,0.1,after,False,False claude_sonnet_5,0,clock_reading,3,20,0,1,0.05,0.0,-0.05263157894736842,02:15,False,False claude_sonnet_5,0,clock_reading,4,20,4,1,0.05,0.2,0.15789473684210525,123,False,False claude_sonnet_5,0,clock_reading,5,20,2,1,0.05,0.1,0.05263157894736842,104,False,False claude_sonnet_5,0,combination,1,20,8,7,0.35,0.4,0.07692307692307693,10,False,False claude_sonnet_5,0,combination,2,20,8,13,0.65,0.4,-0.7142857142857143,C,False,False claude_sonnet_5,0,combination,3,20,14,8,0.4,0.7,0.5,yes,False,False claude_sonnet_5,0,combination,4,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False claude_sonnet_5,0,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False claude_sonnet_5,0,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False claude_sonnet_5,0,combination3d,2,20,13,7,0.35,0.65,0.46153846153846156,B,False,False claude_sonnet_5,0,combination3d,3,20,17,10,0.5,0.85,0.7,yes,False,False claude_sonnet_5,0,combination3d,4,20,1,5,0.25,0.05,-0.26666666666666666,D,False,False claude_sonnet_5,0,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False claude_sonnet_5,0,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False claude_sonnet_5,0,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False claude_sonnet_5,0,compass_bearing,3,20,15,2,0.1,0.75,0.7222222222222222,020,False,False claude_sonnet_5,0,compass_bearing,4,20,3,1,0.05,0.15,0.10526315789473684,12 degrees counterclockwise,False,False claude_sonnet_5,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False claude_sonnet_5,0,coordinate_geometry,1,20,14,2,0.1,0.7,0.6666666666666666,"(-6, -2)",False,False claude_sonnet_5,0,coordinate_geometry,2,20,10,3,0.15,0.5,0.4117647058823529,4.47,False,False claude_sonnet_5,0,coordinate_geometry,3,20,1,5,0.25,0.05,-0.26666666666666666,A and B,False,False claude_sonnet_5,0,coordinate_geometry,4,20,16,6,0.3,0.8,0.7142857142857143,less than,False,False claude_sonnet_5,0,coordinate_geometry,5,20,13,3,0.15,0.65,0.5882352941176471,3.16,False,False claude_sonnet_5,0,cube_net,1,20,20,20,1.0,1.0,,6,True,False claude_sonnet_5,0,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False claude_sonnet_5,0,cube_net,3,20,17,4,0.2,0.85,0.8125,2,False,False claude_sonnet_5,0,cube_net,4,20,18,11,0.55,0.9,0.7777777777777778,adjacent,False,False claude_sonnet_5,0,cube_net,5,20,16,18,0.9,0.8,-1.0,no,False,False claude_sonnet_5,0,cube_structure,1,20,1,6,0.3,0.05,-0.35714285714285715,12,False,False claude_sonnet_5,0,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False claude_sonnet_5,0,cube_structure,3,20,17,10,0.5,0.85,0.7,1,False,False claude_sonnet_5,0,cube_structure,4,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False claude_sonnet_5,0,cube_structure,5,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False claude_sonnet_5,0,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False claude_sonnet_5,0,depth_height,2,20,8,6,0.3,0.4,0.14285714285714285,magenta,False,False claude_sonnet_5,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False claude_sonnet_5,0,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False claude_sonnet_5,0,depth_height,5,20,17,11,0.55,0.85,0.6666666666666666,smaller,False,False claude_sonnet_5,0,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False claude_sonnet_5,0,embedded_figures,2,20,16,10,0.5,0.8,0.6,6,False,False claude_sonnet_5,0,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False claude_sonnet_5,0,embedded_figures,4,20,5,7,0.35,0.25,-0.15384615384615385,6,False,False claude_sonnet_5,0,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False claude_sonnet_5,0,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False claude_sonnet_5,0,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False claude_sonnet_5,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False claude_sonnet_5,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False claude_sonnet_5,0,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False claude_sonnet_5,0,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False claude_sonnet_5,0,fold_punch,2,20,19,12,0.6,0.95,0.875,8,False,False claude_sonnet_5,0,fold_punch,3,20,8,7,0.35,0.4,0.07692307692307693,B,False,False claude_sonnet_5,0,fold_punch,4,20,6,7,0.35,0.3,-0.07692307692307693,exactly half,False,False claude_sonnet_5,0,fold_punch,5,20,6,10,0.5,0.3,-0.4,16,False,False claude_sonnet_5,0,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False claude_sonnet_5,0,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False claude_sonnet_5,0,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False claude_sonnet_5,0,gauge_reading,4,20,1,14,0.7,0.05,-2.1666666666666665,no danger zone marked,False,False claude_sonnet_5,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False claude_sonnet_5,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False claude_sonnet_5,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False claude_sonnet_5,0,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False claude_sonnet_5,0,gear_train,4,20,15,1,0.05,0.75,0.7368421052631579,101.8,False,False claude_sonnet_5,0,gear_train,5,20,7,8,0.4,0.35,-0.08333333333333333,decrease; direction unchanged,False,False claude_sonnet_5,0,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False claude_sonnet_5,0,hex_pathfinding,2,20,13,11,0.55,0.65,0.2222222222222222,walkable,False,False claude_sonnet_5,0,hex_pathfinding,3,20,8,6,0.3,0.4,0.14285714285714285,5,False,False claude_sonnet_5,0,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False claude_sonnet_5,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False claude_sonnet_5,0,impossible_object,1,20,19,11,0.55,0.95,0.8888888888888888,5,False,False claude_sonnet_5,0,impossible_object,2,20,10,16,0.8,0.5,-1.5,yes,False,False claude_sonnet_5,0,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False claude_sonnet_5,0,impossible_object,4,20,6,8,0.4,0.3,-0.16666666666666666,6,False,False claude_sonnet_5,0,impossible_object,5,20,7,16,0.8,0.35,-2.25,already constructible,False,False claude_sonnet_5,0,laser_mirror,1,20,18,9,0.45,0.9,0.8181818181818182,3,False,False claude_sonnet_5,0,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False claude_sonnet_5,0,laser_mirror,3,20,19,8,0.4,0.95,0.9166666666666666,1,False,False claude_sonnet_5,0,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False claude_sonnet_5,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False claude_sonnet_5,0,line_intersection,1,20,9,7,0.35,0.45,0.15384615384615385,2,False,False claude_sonnet_5,0,line_intersection,2,20,14,7,0.35,0.7,0.5384615384615384,0,False,False claude_sonnet_5,0,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False claude_sonnet_5,0,line_intersection,4,20,13,4,0.2,0.65,0.5625,"0,0",False,False claude_sonnet_5,0,line_intersection,5,20,12,10,0.5,0.6,0.2,0,False,False claude_sonnet_5,0,nested_hexagons,1,20,6,5,0.25,0.3,0.06666666666666667,4,False,False claude_sonnet_5,0,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False claude_sonnet_5,0,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False claude_sonnet_5,0,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False claude_sonnet_5,0,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False claude_sonnet_5,0,nested_squares,1,20,6,4,0.2,0.3,0.125,5,False,False claude_sonnet_5,0,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False claude_sonnet_5,0,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False claude_sonnet_5,0,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False claude_sonnet_5,0,nested_squares,5,20,8,12,0.6,0.4,-0.5,yes,False,False claude_sonnet_5,0,nested_triangles,1,20,11,6,0.3,0.55,0.35714285714285715,4,False,False claude_sonnet_5,0,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False claude_sonnet_5,0,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False claude_sonnet_5,0,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False claude_sonnet_5,0,nested_triangles,5,20,8,12,0.6,0.4,-0.5,yes,False,False claude_sonnet_5,0,occluded_pattern,1,20,13,4,0.2,0.65,0.5625,8,False,False claude_sonnet_5,0,occluded_pattern,2,20,7,5,0.25,0.35,0.13333333333333333,10,False,False claude_sonnet_5,0,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False claude_sonnet_5,0,occluded_pattern,4,20,4,6,0.3,0.2,-0.14285714285714285,2,False,False claude_sonnet_5,0,occluded_pattern,5,20,4,5,0.25,0.2,-0.06666666666666667,11,False,False claude_sonnet_5,0,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False claude_sonnet_5,0,optical_illusion,2,20,17,12,0.6,0.85,0.625,B,False,False claude_sonnet_5,0,optical_illusion,3,20,11,9,0.45,0.55,0.18181818181818182,equal,False,False claude_sonnet_5,0,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False claude_sonnet_5,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False claude_sonnet_5,0,orthographic,1,20,11,6,0.3,0.55,0.35714285714285715,6,False,False claude_sonnet_5,0,orthographic,2,20,5,5,0.25,0.25,0.0,9,False,False claude_sonnet_5,0,orthographic,3,20,13,5,0.25,0.65,0.5333333333333333,front,False,False claude_sonnet_5,0,orthographic,4,20,11,8,0.4,0.55,0.25,not unique,False,False claude_sonnet_5,0,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False claude_sonnet_5,0,overlap_circles,1,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False claude_sonnet_5,0,overlap_circles,2,20,10,11,0.55,0.5,-0.1111111111111111,no,False,False claude_sonnet_5,0,overlap_circles,3,20,4,3,0.15,0.2,0.058823529411764705,1.8,False,False claude_sonnet_5,0,overlap_circles,4,20,9,6,0.3,0.45,0.21428571428571427,0,False,False claude_sonnet_5,0,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False claude_sonnet_5,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False claude_sonnet_5,0,physical_stability,2,20,16,11,0.55,0.8,0.5555555555555556,right,False,False claude_sonnet_5,0,physical_stability,3,20,19,10,0.5,0.95,0.9,D,False,False claude_sonnet_5,0,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False claude_sonnet_5,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False claude_sonnet_5,0,polyhedron,1,20,6,8,0.4,0.3,-0.16666666666666666,14,False,False claude_sonnet_5,0,polyhedron,2,20,19,19,0.95,0.95,0.0,convex,False,False claude_sonnet_5,0,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False claude_sonnet_5,0,polyhedron,4,20,14,6,0.3,0.7,0.5714285714285714,no,False,False claude_sonnet_5,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False claude_sonnet_5,0,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False claude_sonnet_5,0,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False claude_sonnet_5,0,projectile_motion,3,20,17,1,0.05,0.85,0.8421052631578947,13.4,False,False claude_sonnet_5,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False claude_sonnet_5,0,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False claude_sonnet_5,0,rotation_matching,1,20,8,8,0.4,0.4,0.0,7,False,False claude_sonnet_5,0,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False claude_sonnet_5,0,rotation_matching,3,20,2,4,0.2,0.1,-0.125,315,False,False claude_sonnet_5,0,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False claude_sonnet_5,0,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False claude_sonnet_5,0,route,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False claude_sonnet_5,0,route,2,20,9,11,0.55,0.45,-0.2222222222222222,1,False,False claude_sonnet_5,0,route,3,20,4,5,0.25,0.2,-0.06666666666666667,4,False,False claude_sonnet_5,0,route,4,20,1,1,0.05,0.05,0.0,AC,False,False claude_sonnet_5,0,route,5,20,2,6,0.3,0.1,-0.2857142857142857,4,False,False claude_sonnet_5,0,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False claude_sonnet_5,0,rpm,2,20,16,4,0.2,0.8,0.75,1,False,False claude_sonnet_5,0,rpm,3,20,16,5,0.25,0.8,0.7333333333333333,correct shape but wrong color,False,False claude_sonnet_5,0,rpm,4,20,8,5,0.25,0.4,0.2,8,False,False claude_sonnet_5,0,rpm,5,20,4,11,0.55,0.2,-0.7777777777777778,9,False,False claude_sonnet_5,0,shadow_inference,1,20,19,10,0.5,0.95,0.9,2,False,False claude_sonnet_5,0,shadow_inference,2,20,12,7,0.35,0.6,0.38461538461538464,right,False,False claude_sonnet_5,0,shadow_inference,3,20,13,7,0.35,0.65,0.46153846153846156,low,False,False claude_sonnet_5,0,shadow_inference,4,20,7,8,0.4,0.35,-0.08333333333333333,same,False,False claude_sonnet_5,0,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False claude_sonnet_5,0,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False claude_sonnet_5,0,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False claude_sonnet_5,0,surface_topology,3,20,8,7,0.35,0.4,0.07692307692307693,0,False,False claude_sonnet_5,0,surface_topology,4,20,17,8,0.4,0.85,0.75,-4; orientable,False,False claude_sonnet_5,0,surface_topology,5,20,9,8,0.4,0.45,0.08333333333333333,-5,False,False claude_sonnet_5,0,symmetry_pattern,1,20,18,11,0.55,0.9,0.7777777777777778,8,False,False claude_sonnet_5,0,symmetry_pattern,2,20,14,11,0.55,0.7,0.3333333333333333,broken,False,False claude_sonnet_5,0,symmetry_pattern,3,20,11,6,0.3,0.55,0.35714285714285715,mirror,False,False claude_sonnet_5,0,symmetry_pattern,4,20,4,7,0.35,0.2,-0.23076923076923078,8,False,False claude_sonnet_5,0,symmetry_pattern,5,20,10,20,1.0,0.5,,yes,True,False claude_sonnet_5,15,angle_estimation,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False claude_sonnet_5,15,angle_estimation,2,20,14,4,0.2,0.7,0.625,Angle 2,False,False claude_sonnet_5,15,angle_estimation,3,20,13,6,0.3,0.65,0.5,greater than,False,False claude_sonnet_5,15,angle_estimation,4,20,8,4,0.2,0.4,0.25,180,False,False claude_sonnet_5,15,angle_estimation,5,20,8,6,0.3,0.4,0.14285714285714285,exceeds 180,False,False claude_sonnet_5,15,clock_reading,1,20,8,4,0.2,0.4,0.25,10,False,False claude_sonnet_5,15,clock_reading,2,20,15,10,0.5,0.75,0.5,after,False,False claude_sonnet_5,15,clock_reading,3,20,4,1,0.05,0.2,0.15789473684210525,02:15,False,False claude_sonnet_5,15,clock_reading,4,20,3,1,0.05,0.15,0.10526315789473684,123,False,False claude_sonnet_5,15,clock_reading,5,20,3,1,0.05,0.15,0.10526315789473684,104,False,False claude_sonnet_5,15,combination,1,20,6,7,0.35,0.3,-0.07692307692307693,10,False,False claude_sonnet_5,15,combination,2,20,7,13,0.65,0.35,-0.8571428571428571,C,False,False claude_sonnet_5,15,combination,3,20,15,8,0.4,0.75,0.5833333333333334,yes,False,False claude_sonnet_5,15,combination,4,20,2,7,0.35,0.1,-0.38461538461538464,B,False,False claude_sonnet_5,15,combination,5,20,18,14,0.7,0.9,0.6666666666666666,connected,False,False claude_sonnet_5,15,combination3d,1,20,5,7,0.35,0.25,-0.15384615384615385,14,False,False claude_sonnet_5,15,combination3d,2,20,13,7,0.35,0.65,0.46153846153846156,B,False,False claude_sonnet_5,15,combination3d,3,20,14,10,0.5,0.7,0.4,yes,False,False claude_sonnet_5,15,combination3d,4,20,4,5,0.25,0.2,-0.06666666666666667,D,False,False claude_sonnet_5,15,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False claude_sonnet_5,15,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False claude_sonnet_5,15,compass_bearing,2,20,18,9,0.45,0.9,0.8181818181818182,north,False,False claude_sonnet_5,15,compass_bearing,3,20,12,2,0.1,0.6,0.5555555555555556,020,False,False claude_sonnet_5,15,compass_bearing,4,20,2,1,0.05,0.1,0.05263157894736842,12 degrees counterclockwise,False,False claude_sonnet_5,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False claude_sonnet_5,15,coordinate_geometry,1,20,4,2,0.1,0.2,0.1111111111111111,"(-6, -2)",False,False claude_sonnet_5,15,coordinate_geometry,2,20,3,3,0.15,0.15,0.0,4.47,False,False claude_sonnet_5,15,coordinate_geometry,3,20,1,5,0.25,0.05,-0.26666666666666666,A and B,False,False claude_sonnet_5,15,coordinate_geometry,4,20,14,6,0.3,0.7,0.5714285714285714,less than,False,False claude_sonnet_5,15,coordinate_geometry,5,20,5,3,0.15,0.25,0.11764705882352941,3.16,False,False claude_sonnet_5,15,cube_net,1,20,20,20,1.0,1.0,,6,True,False claude_sonnet_5,15,cube_net,2,20,18,9,0.45,0.9,0.8181818181818182,E,False,False claude_sonnet_5,15,cube_net,3,20,18,4,0.2,0.9,0.875,2,False,False claude_sonnet_5,15,cube_net,4,20,17,11,0.55,0.85,0.6666666666666666,adjacent,False,False claude_sonnet_5,15,cube_net,5,20,18,18,0.9,0.9,0.0,no,False,False claude_sonnet_5,15,cube_structure,1,20,1,6,0.3,0.05,-0.35714285714285715,12,False,False claude_sonnet_5,15,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False claude_sonnet_5,15,cube_structure,3,20,20,10,0.5,1.0,1.0,1,False,False claude_sonnet_5,15,cube_structure,4,20,12,8,0.4,0.6,0.3333333333333333,2,False,False claude_sonnet_5,15,cube_structure,5,20,5,8,0.4,0.25,-0.25,2,False,False claude_sonnet_5,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False claude_sonnet_5,15,depth_height,2,20,8,6,0.3,0.4,0.14285714285714285,magenta,False,False claude_sonnet_5,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False claude_sonnet_5,15,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False claude_sonnet_5,15,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False claude_sonnet_5,15,embedded_figures,1,20,2,6,0.3,0.1,-0.2857142857142857,13,False,False claude_sonnet_5,15,embedded_figures,2,20,14,10,0.5,0.7,0.4,6,False,False claude_sonnet_5,15,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False claude_sonnet_5,15,embedded_figures,4,20,2,7,0.35,0.1,-0.38461538461538464,6,False,False claude_sonnet_5,15,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False claude_sonnet_5,15,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False claude_sonnet_5,15,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False claude_sonnet_5,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False claude_sonnet_5,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False claude_sonnet_5,15,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False claude_sonnet_5,15,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False claude_sonnet_5,15,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False claude_sonnet_5,15,fold_punch,3,20,8,7,0.35,0.4,0.07692307692307693,B,False,False claude_sonnet_5,15,fold_punch,4,20,3,7,0.35,0.15,-0.3076923076923077,exactly half,False,False claude_sonnet_5,15,fold_punch,5,20,3,10,0.5,0.15,-0.7,16,False,False claude_sonnet_5,15,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False claude_sonnet_5,15,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False claude_sonnet_5,15,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False claude_sonnet_5,15,gauge_reading,4,20,3,14,0.7,0.15,-1.8333333333333333,no danger zone marked,False,False claude_sonnet_5,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False claude_sonnet_5,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False claude_sonnet_5,15,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False claude_sonnet_5,15,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False claude_sonnet_5,15,gear_train,4,20,15,1,0.05,0.75,0.7368421052631579,101.8,False,False claude_sonnet_5,15,gear_train,5,20,6,8,0.4,0.3,-0.16666666666666666,decrease; direction unchanged,False,False claude_sonnet_5,15,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False claude_sonnet_5,15,hex_pathfinding,2,20,14,11,0.55,0.7,0.3333333333333333,walkable,False,False claude_sonnet_5,15,hex_pathfinding,3,20,6,6,0.3,0.3,0.0,5,False,False claude_sonnet_5,15,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False claude_sonnet_5,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False claude_sonnet_5,15,impossible_object,1,20,20,11,0.55,1.0,1.0,5,False,False claude_sonnet_5,15,impossible_object,2,20,12,16,0.8,0.6,-1.0,yes,False,False claude_sonnet_5,15,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False claude_sonnet_5,15,impossible_object,4,20,6,8,0.4,0.3,-0.16666666666666666,6,False,False claude_sonnet_5,15,impossible_object,5,20,2,16,0.8,0.1,-3.5,already constructible,False,False claude_sonnet_5,15,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False claude_sonnet_5,15,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False claude_sonnet_5,15,laser_mirror,3,20,18,8,0.4,0.9,0.8333333333333334,1,False,False claude_sonnet_5,15,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False claude_sonnet_5,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False claude_sonnet_5,15,line_intersection,1,20,10,7,0.35,0.5,0.23076923076923078,2,False,False claude_sonnet_5,15,line_intersection,2,20,10,7,0.35,0.5,0.23076923076923078,0,False,False claude_sonnet_5,15,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False claude_sonnet_5,15,line_intersection,4,20,13,4,0.2,0.65,0.5625,"0,0",False,False claude_sonnet_5,15,line_intersection,5,20,11,10,0.5,0.55,0.1,0,False,False claude_sonnet_5,15,nested_hexagons,1,20,6,5,0.25,0.3,0.06666666666666667,4,False,False claude_sonnet_5,15,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False claude_sonnet_5,15,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False claude_sonnet_5,15,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False claude_sonnet_5,15,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False claude_sonnet_5,15,nested_squares,1,20,5,4,0.2,0.25,0.0625,5,False,False claude_sonnet_5,15,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False claude_sonnet_5,15,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False claude_sonnet_5,15,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False claude_sonnet_5,15,nested_squares,5,20,9,12,0.6,0.45,-0.375,yes,False,False claude_sonnet_5,15,nested_triangles,1,20,12,6,0.3,0.6,0.42857142857142855,4,False,False claude_sonnet_5,15,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False claude_sonnet_5,15,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False claude_sonnet_5,15,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False claude_sonnet_5,15,nested_triangles,5,20,8,12,0.6,0.4,-0.5,yes,False,False claude_sonnet_5,15,occluded_pattern,1,20,15,4,0.2,0.75,0.6875,8,False,False claude_sonnet_5,15,occluded_pattern,2,20,6,5,0.25,0.3,0.06666666666666667,10,False,False claude_sonnet_5,15,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False claude_sonnet_5,15,occluded_pattern,4,20,2,6,0.3,0.1,-0.2857142857142857,2,False,False claude_sonnet_5,15,occluded_pattern,5,20,4,5,0.25,0.2,-0.06666666666666667,11,False,False claude_sonnet_5,15,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False claude_sonnet_5,15,optical_illusion,2,20,18,12,0.6,0.9,0.75,B,False,False claude_sonnet_5,15,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False claude_sonnet_5,15,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False claude_sonnet_5,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False claude_sonnet_5,15,orthographic,1,20,7,6,0.3,0.35,0.07142857142857142,6,False,False claude_sonnet_5,15,orthographic,2,20,1,5,0.25,0.05,-0.26666666666666666,9,False,False claude_sonnet_5,15,orthographic,3,20,14,5,0.25,0.7,0.6,front,False,False claude_sonnet_5,15,orthographic,4,20,9,8,0.4,0.45,0.08333333333333333,not unique,False,False claude_sonnet_5,15,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False claude_sonnet_5,15,overlap_circles,1,20,6,5,0.25,0.3,0.06666666666666667,10,False,False claude_sonnet_5,15,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False claude_sonnet_5,15,overlap_circles,3,20,5,3,0.15,0.25,0.11764705882352941,1.8,False,False claude_sonnet_5,15,overlap_circles,4,20,10,6,0.3,0.5,0.2857142857142857,0,False,False claude_sonnet_5,15,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False claude_sonnet_5,15,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False claude_sonnet_5,15,physical_stability,2,20,14,11,0.55,0.7,0.3333333333333333,right,False,False claude_sonnet_5,15,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False claude_sonnet_5,15,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False claude_sonnet_5,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False claude_sonnet_5,15,polyhedron,1,20,7,8,0.4,0.35,-0.08333333333333333,14,False,False claude_sonnet_5,15,polyhedron,2,20,19,19,0.95,0.95,0.0,convex,False,False claude_sonnet_5,15,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False claude_sonnet_5,15,polyhedron,4,20,15,6,0.3,0.75,0.6428571428571429,no,False,False claude_sonnet_5,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False claude_sonnet_5,15,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False claude_sonnet_5,15,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False claude_sonnet_5,15,projectile_motion,3,20,16,1,0.05,0.8,0.7894736842105263,13.4,False,False claude_sonnet_5,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False claude_sonnet_5,15,projectile_motion,5,20,15,15,0.75,0.75,0.0,increase,False,False claude_sonnet_5,15,rotation_matching,1,20,13,8,0.4,0.65,0.4166666666666667,7,False,False claude_sonnet_5,15,rotation_matching,2,20,6,6,0.3,0.3,0.0,B,False,False claude_sonnet_5,15,rotation_matching,3,20,3,4,0.2,0.15,-0.0625,315,False,False claude_sonnet_5,15,rotation_matching,4,20,3,7,0.35,0.15,-0.3076923076923077,A,False,False claude_sonnet_5,15,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False claude_sonnet_5,15,route,1,20,17,6,0.3,0.85,0.7857142857142857,6,False,False claude_sonnet_5,15,route,2,20,9,11,0.55,0.45,-0.2222222222222222,1,False,False claude_sonnet_5,15,route,3,20,7,5,0.25,0.35,0.13333333333333333,4,False,False claude_sonnet_5,15,route,4,20,1,1,0.05,0.05,0.0,AC,False,False claude_sonnet_5,15,route,5,20,0,6,0.3,0.0,-0.42857142857142855,4,False,False claude_sonnet_5,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False claude_sonnet_5,15,rpm,2,20,12,4,0.2,0.6,0.5,1,False,False claude_sonnet_5,15,rpm,3,20,12,5,0.25,0.6,0.4666666666666667,correct shape but wrong color,False,False claude_sonnet_5,15,rpm,4,20,8,5,0.25,0.4,0.2,8,False,False claude_sonnet_5,15,rpm,5,20,6,11,0.55,0.3,-0.5555555555555556,9,False,False claude_sonnet_5,15,shadow_inference,1,20,15,10,0.5,0.75,0.5,2,False,False claude_sonnet_5,15,shadow_inference,2,20,5,7,0.35,0.25,-0.15384615384615385,right,False,False claude_sonnet_5,15,shadow_inference,3,20,12,7,0.35,0.6,0.38461538461538464,low,False,False claude_sonnet_5,15,shadow_inference,4,20,5,8,0.4,0.25,-0.25,same,False,False claude_sonnet_5,15,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False claude_sonnet_5,15,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False claude_sonnet_5,15,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False claude_sonnet_5,15,surface_topology,3,20,9,7,0.35,0.45,0.15384615384615385,0,False,False claude_sonnet_5,15,surface_topology,4,20,16,8,0.4,0.8,0.6666666666666666,-4; orientable,False,False claude_sonnet_5,15,surface_topology,5,20,13,8,0.4,0.65,0.4166666666666667,-5,False,False claude_sonnet_5,15,symmetry_pattern,1,20,17,11,0.55,0.85,0.6666666666666666,8,False,False claude_sonnet_5,15,symmetry_pattern,2,20,12,11,0.55,0.6,0.1111111111111111,broken,False,False claude_sonnet_5,15,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False claude_sonnet_5,15,symmetry_pattern,4,20,4,7,0.35,0.2,-0.23076923076923078,8,False,False claude_sonnet_5,15,symmetry_pattern,5,20,10,20,1.0,0.5,,yes,True,False claude_sonnet_5,25,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False claude_sonnet_5,25,angle_estimation,2,20,14,4,0.2,0.7,0.625,Angle 2,False,False claude_sonnet_5,25,angle_estimation,3,20,12,6,0.3,0.6,0.42857142857142855,greater than,False,False claude_sonnet_5,25,angle_estimation,4,20,7,4,0.2,0.35,0.1875,180,False,False claude_sonnet_5,25,angle_estimation,5,20,9,6,0.3,0.45,0.21428571428571427,exceeds 180,False,False claude_sonnet_5,25,clock_reading,1,20,5,4,0.2,0.25,0.0625,10,False,False claude_sonnet_5,25,clock_reading,2,20,14,10,0.5,0.7,0.4,after,False,False claude_sonnet_5,25,clock_reading,3,20,4,1,0.05,0.2,0.15789473684210525,02:15,False,False claude_sonnet_5,25,clock_reading,4,20,4,1,0.05,0.2,0.15789473684210525,123,False,False claude_sonnet_5,25,clock_reading,5,20,1,1,0.05,0.05,0.0,104,False,False claude_sonnet_5,25,combination,1,20,5,7,0.35,0.25,-0.15384615384615385,10,False,False claude_sonnet_5,25,combination,2,20,7,13,0.65,0.35,-0.8571428571428571,C,False,False claude_sonnet_5,25,combination,3,20,16,8,0.4,0.8,0.6666666666666666,yes,False,False claude_sonnet_5,25,combination,4,20,2,7,0.35,0.1,-0.38461538461538464,B,False,False claude_sonnet_5,25,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False claude_sonnet_5,25,combination3d,1,20,1,7,0.35,0.05,-0.46153846153846156,14,False,False claude_sonnet_5,25,combination3d,2,20,13,7,0.35,0.65,0.46153846153846156,B,False,False claude_sonnet_5,25,combination3d,3,20,15,10,0.5,0.75,0.5,yes,False,False claude_sonnet_5,25,combination3d,4,20,4,5,0.25,0.2,-0.06666666666666667,D,False,False claude_sonnet_5,25,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False claude_sonnet_5,25,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False claude_sonnet_5,25,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False claude_sonnet_5,25,compass_bearing,3,20,13,2,0.1,0.65,0.6111111111111112,020,False,False claude_sonnet_5,25,compass_bearing,4,20,3,1,0.05,0.15,0.10526315789473684,12 degrees counterclockwise,False,False claude_sonnet_5,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False claude_sonnet_5,25,coordinate_geometry,1,20,7,2,0.1,0.35,0.2777777777777778,"(-6, -2)",False,False claude_sonnet_5,25,coordinate_geometry,2,20,4,3,0.15,0.2,0.058823529411764705,4.47,False,False claude_sonnet_5,25,coordinate_geometry,3,20,0,5,0.25,0.0,-0.3333333333333333,A and B,False,False claude_sonnet_5,25,coordinate_geometry,4,20,14,6,0.3,0.7,0.5714285714285714,less than,False,False claude_sonnet_5,25,coordinate_geometry,5,20,3,3,0.15,0.15,0.0,3.16,False,False claude_sonnet_5,25,cube_net,1,20,20,20,1.0,1.0,,6,True,False claude_sonnet_5,25,cube_net,2,20,19,9,0.45,0.95,0.9090909090909091,E,False,False claude_sonnet_5,25,cube_net,3,20,16,4,0.2,0.8,0.75,2,False,False claude_sonnet_5,25,cube_net,4,20,16,11,0.55,0.8,0.5555555555555556,adjacent,False,False claude_sonnet_5,25,cube_net,5,20,18,18,0.9,0.9,0.0,no,False,False claude_sonnet_5,25,cube_structure,1,20,1,6,0.3,0.05,-0.35714285714285715,12,False,False claude_sonnet_5,25,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False claude_sonnet_5,25,cube_structure,3,20,17,10,0.5,0.85,0.7,1,False,False claude_sonnet_5,25,cube_structure,4,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False claude_sonnet_5,25,cube_structure,5,20,7,8,0.4,0.35,-0.08333333333333333,2,False,False claude_sonnet_5,25,depth_height,1,20,19,8,0.4,0.95,0.9166666666666666,3,False,False claude_sonnet_5,25,depth_height,2,20,8,6,0.3,0.4,0.14285714285714285,magenta,False,False claude_sonnet_5,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False claude_sonnet_5,25,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False claude_sonnet_5,25,depth_height,5,20,18,11,0.55,0.9,0.7777777777777778,smaller,False,False claude_sonnet_5,25,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False claude_sonnet_5,25,embedded_figures,2,20,15,10,0.5,0.75,0.5,6,False,False claude_sonnet_5,25,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False claude_sonnet_5,25,embedded_figures,4,20,3,7,0.35,0.15,-0.3076923076923077,6,False,False claude_sonnet_5,25,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False claude_sonnet_5,25,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False claude_sonnet_5,25,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False claude_sonnet_5,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False claude_sonnet_5,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False claude_sonnet_5,25,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False claude_sonnet_5,25,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False claude_sonnet_5,25,fold_punch,2,20,19,12,0.6,0.95,0.875,8,False,False claude_sonnet_5,25,fold_punch,3,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False claude_sonnet_5,25,fold_punch,4,20,7,7,0.35,0.35,0.0,exactly half,False,False claude_sonnet_5,25,fold_punch,5,20,6,10,0.5,0.3,-0.4,16,False,False claude_sonnet_5,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False claude_sonnet_5,25,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False claude_sonnet_5,25,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False claude_sonnet_5,25,gauge_reading,4,20,4,14,0.7,0.2,-1.6666666666666667,no danger zone marked,False,False claude_sonnet_5,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False claude_sonnet_5,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False claude_sonnet_5,25,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False claude_sonnet_5,25,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False claude_sonnet_5,25,gear_train,4,20,16,1,0.05,0.8,0.7894736842105263,101.8,False,False claude_sonnet_5,25,gear_train,5,20,9,8,0.4,0.45,0.08333333333333333,decrease; direction unchanged,False,False claude_sonnet_5,25,hex_pathfinding,1,20,3,3,0.15,0.15,0.0,5,False,False claude_sonnet_5,25,hex_pathfinding,2,20,14,11,0.55,0.7,0.3333333333333333,walkable,False,False claude_sonnet_5,25,hex_pathfinding,3,20,6,6,0.3,0.3,0.0,5,False,False claude_sonnet_5,25,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False claude_sonnet_5,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False claude_sonnet_5,25,impossible_object,1,20,17,11,0.55,0.85,0.6666666666666666,5,False,False claude_sonnet_5,25,impossible_object,2,20,14,16,0.8,0.7,-0.5,yes,False,False claude_sonnet_5,25,impossible_object,3,20,5,7,0.35,0.25,-0.15384615384615385,C,False,False claude_sonnet_5,25,impossible_object,4,20,2,8,0.4,0.1,-0.5,6,False,False claude_sonnet_5,25,impossible_object,5,20,9,16,0.8,0.45,-1.75,already constructible,False,False claude_sonnet_5,25,laser_mirror,1,20,19,9,0.45,0.95,0.9090909090909091,3,False,False claude_sonnet_5,25,laser_mirror,2,20,18,14,0.7,0.9,0.6666666666666666,yes,False,False claude_sonnet_5,25,laser_mirror,3,20,14,8,0.4,0.7,0.5,1,False,False claude_sonnet_5,25,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False claude_sonnet_5,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False claude_sonnet_5,25,line_intersection,1,20,11,7,0.35,0.55,0.3076923076923077,2,False,False claude_sonnet_5,25,line_intersection,2,20,12,7,0.35,0.6,0.38461538461538464,0,False,False claude_sonnet_5,25,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False claude_sonnet_5,25,line_intersection,4,20,13,4,0.2,0.65,0.5625,"0,0",False,False claude_sonnet_5,25,line_intersection,5,20,10,10,0.5,0.5,0.0,0,False,False claude_sonnet_5,25,nested_hexagons,1,20,7,5,0.25,0.35,0.13333333333333333,4,False,False claude_sonnet_5,25,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False claude_sonnet_5,25,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False claude_sonnet_5,25,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False claude_sonnet_5,25,nested_hexagons,5,20,12,10,0.5,0.6,0.2,no,False,False claude_sonnet_5,25,nested_squares,1,20,5,4,0.2,0.25,0.0625,5,False,False claude_sonnet_5,25,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False claude_sonnet_5,25,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False claude_sonnet_5,25,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False claude_sonnet_5,25,nested_squares,5,20,9,12,0.6,0.45,-0.375,yes,False,False claude_sonnet_5,25,nested_triangles,1,20,10,6,0.3,0.5,0.2857142857142857,4,False,False claude_sonnet_5,25,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False claude_sonnet_5,25,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False claude_sonnet_5,25,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False claude_sonnet_5,25,nested_triangles,5,20,8,12,0.6,0.4,-0.5,yes,False,False claude_sonnet_5,25,occluded_pattern,1,20,14,4,0.2,0.7,0.625,8,False,False claude_sonnet_5,25,occluded_pattern,2,20,4,5,0.25,0.2,-0.06666666666666667,10,False,False claude_sonnet_5,25,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False claude_sonnet_5,25,occluded_pattern,4,20,0,6,0.3,0.0,-0.42857142857142855,2,False,False claude_sonnet_5,25,occluded_pattern,5,20,3,5,0.25,0.15,-0.13333333333333333,11,False,False claude_sonnet_5,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False claude_sonnet_5,25,optical_illusion,2,20,16,12,0.6,0.8,0.5,B,False,False claude_sonnet_5,25,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False claude_sonnet_5,25,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False claude_sonnet_5,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False claude_sonnet_5,25,orthographic,1,20,5,6,0.3,0.25,-0.07142857142857142,6,False,False claude_sonnet_5,25,orthographic,2,20,2,5,0.25,0.1,-0.2,9,False,False claude_sonnet_5,25,orthographic,3,20,13,5,0.25,0.65,0.5333333333333333,front,False,False claude_sonnet_5,25,orthographic,4,20,10,8,0.4,0.5,0.16666666666666666,not unique,False,False claude_sonnet_5,25,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False claude_sonnet_5,25,overlap_circles,1,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False claude_sonnet_5,25,overlap_circles,2,20,10,11,0.55,0.5,-0.1111111111111111,no,False,False claude_sonnet_5,25,overlap_circles,3,20,5,3,0.15,0.25,0.11764705882352941,1.8,False,False claude_sonnet_5,25,overlap_circles,4,20,8,6,0.3,0.4,0.14285714285714285,0,False,False claude_sonnet_5,25,overlap_circles,5,20,2,4,0.2,0.1,-0.125,17,False,False claude_sonnet_5,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False claude_sonnet_5,25,physical_stability,2,20,13,11,0.55,0.65,0.2222222222222222,right,False,False claude_sonnet_5,25,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False claude_sonnet_5,25,physical_stability,4,20,7,8,0.4,0.35,-0.08333333333333333,stable,False,False claude_sonnet_5,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False claude_sonnet_5,25,polyhedron,1,20,5,8,0.4,0.25,-0.25,14,False,False claude_sonnet_5,25,polyhedron,2,20,19,19,0.95,0.95,0.0,convex,False,False claude_sonnet_5,25,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False claude_sonnet_5,25,polyhedron,4,20,14,6,0.3,0.7,0.5714285714285714,no,False,False claude_sonnet_5,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False claude_sonnet_5,25,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False claude_sonnet_5,25,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False claude_sonnet_5,25,projectile_motion,3,20,17,1,0.05,0.85,0.8421052631578947,13.4,False,False claude_sonnet_5,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False claude_sonnet_5,25,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False claude_sonnet_5,25,rotation_matching,1,20,16,8,0.4,0.8,0.6666666666666666,7,False,False claude_sonnet_5,25,rotation_matching,2,20,7,6,0.3,0.35,0.07142857142857142,B,False,False claude_sonnet_5,25,rotation_matching,3,20,0,4,0.2,0.0,-0.25,315,False,False claude_sonnet_5,25,rotation_matching,4,20,5,7,0.35,0.25,-0.15384615384615385,A,False,False claude_sonnet_5,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False claude_sonnet_5,25,route,1,20,18,6,0.3,0.9,0.8571428571428571,6,False,False claude_sonnet_5,25,route,2,20,9,11,0.55,0.45,-0.2222222222222222,1,False,False claude_sonnet_5,25,route,3,20,2,5,0.25,0.1,-0.2,4,False,False claude_sonnet_5,25,route,4,20,1,1,0.05,0.05,0.0,AC,False,False claude_sonnet_5,25,route,5,20,1,6,0.3,0.05,-0.35714285714285715,4,False,False claude_sonnet_5,25,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False claude_sonnet_5,25,rpm,2,20,13,4,0.2,0.65,0.5625,1,False,False claude_sonnet_5,25,rpm,3,20,14,5,0.25,0.7,0.6,correct shape but wrong color,False,False claude_sonnet_5,25,rpm,4,20,9,5,0.25,0.45,0.26666666666666666,8,False,False claude_sonnet_5,25,rpm,5,20,6,11,0.55,0.3,-0.5555555555555556,9,False,False claude_sonnet_5,25,shadow_inference,1,20,9,10,0.5,0.45,-0.1,2,False,False claude_sonnet_5,25,shadow_inference,2,20,5,7,0.35,0.25,-0.15384615384615385,right,False,False claude_sonnet_5,25,shadow_inference,3,20,12,7,0.35,0.6,0.38461538461538464,low,False,False claude_sonnet_5,25,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False claude_sonnet_5,25,shadow_inference,5,20,8,11,0.55,0.4,-0.3333333333333333,same,False,False claude_sonnet_5,25,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False claude_sonnet_5,25,surface_topology,2,20,20,18,0.9,1.0,1.0,orientable,False,False claude_sonnet_5,25,surface_topology,3,20,10,7,0.35,0.5,0.23076923076923078,0,False,False claude_sonnet_5,25,surface_topology,4,20,15,8,0.4,0.75,0.5833333333333334,-4; orientable,False,False claude_sonnet_5,25,surface_topology,5,20,12,8,0.4,0.6,0.3333333333333333,-5,False,False claude_sonnet_5,25,symmetry_pattern,1,20,16,11,0.55,0.8,0.5555555555555556,8,False,False claude_sonnet_5,25,symmetry_pattern,2,20,14,11,0.55,0.7,0.3333333333333333,broken,False,False claude_sonnet_5,25,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False claude_sonnet_5,25,symmetry_pattern,4,20,3,7,0.35,0.15,-0.3076923076923077,8,False,False claude_sonnet_5,25,symmetry_pattern,5,20,10,20,1.0,0.5,,yes,True,False claude_sonnet_5,40,angle_estimation,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False claude_sonnet_5,40,angle_estimation,2,20,13,4,0.2,0.65,0.5625,Angle 2,False,False claude_sonnet_5,40,angle_estimation,3,20,11,6,0.3,0.55,0.35714285714285715,greater than,False,False claude_sonnet_5,40,angle_estimation,4,20,9,4,0.2,0.45,0.3125,180,False,False claude_sonnet_5,40,angle_estimation,5,20,8,6,0.3,0.4,0.14285714285714285,exceeds 180,False,False claude_sonnet_5,40,clock_reading,1,20,10,4,0.2,0.5,0.375,10,False,False claude_sonnet_5,40,clock_reading,2,20,14,10,0.5,0.7,0.4,after,False,False claude_sonnet_5,40,clock_reading,3,20,1,1,0.05,0.05,0.0,02:15,False,False claude_sonnet_5,40,clock_reading,4,20,4,1,0.05,0.2,0.15789473684210525,123,False,False claude_sonnet_5,40,clock_reading,5,20,2,1,0.05,0.1,0.05263157894736842,104,False,False claude_sonnet_5,40,combination,1,20,7,7,0.35,0.35,0.0,10,False,False claude_sonnet_5,40,combination,2,20,7,13,0.65,0.35,-0.8571428571428571,C,False,False claude_sonnet_5,40,combination,3,20,16,8,0.4,0.8,0.6666666666666666,yes,False,False claude_sonnet_5,40,combination,4,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False claude_sonnet_5,40,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False claude_sonnet_5,40,combination3d,1,20,1,7,0.35,0.05,-0.46153846153846156,14,False,False claude_sonnet_5,40,combination3d,2,20,12,7,0.35,0.6,0.38461538461538464,B,False,False claude_sonnet_5,40,combination3d,3,20,13,10,0.5,0.65,0.3,yes,False,False claude_sonnet_5,40,combination3d,4,20,1,5,0.25,0.05,-0.26666666666666666,D,False,False claude_sonnet_5,40,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False claude_sonnet_5,40,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False claude_sonnet_5,40,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False claude_sonnet_5,40,compass_bearing,3,20,12,2,0.1,0.6,0.5555555555555556,020,False,False claude_sonnet_5,40,compass_bearing,4,20,1,1,0.05,0.05,0.0,12 degrees counterclockwise,False,False claude_sonnet_5,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False claude_sonnet_5,40,coordinate_geometry,1,20,2,2,0.1,0.1,0.0,"(-6, -2)",False,False claude_sonnet_5,40,coordinate_geometry,2,20,2,3,0.15,0.1,-0.058823529411764705,4.47,False,False claude_sonnet_5,40,coordinate_geometry,3,20,0,5,0.25,0.0,-0.3333333333333333,A and B,False,False claude_sonnet_5,40,coordinate_geometry,4,20,14,6,0.3,0.7,0.5714285714285714,less than,False,False claude_sonnet_5,40,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False claude_sonnet_5,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False claude_sonnet_5,40,cube_net,2,20,17,9,0.45,0.85,0.7272727272727273,E,False,False claude_sonnet_5,40,cube_net,3,20,15,4,0.2,0.75,0.6875,2,False,False claude_sonnet_5,40,cube_net,4,20,17,11,0.55,0.85,0.6666666666666666,adjacent,False,False claude_sonnet_5,40,cube_net,5,20,18,18,0.9,0.9,0.0,no,False,False claude_sonnet_5,40,cube_structure,1,20,1,6,0.3,0.05,-0.35714285714285715,12,False,False claude_sonnet_5,40,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False claude_sonnet_5,40,cube_structure,3,20,16,10,0.5,0.8,0.6,1,False,False claude_sonnet_5,40,cube_structure,4,20,9,8,0.4,0.45,0.08333333333333333,2,False,False claude_sonnet_5,40,cube_structure,5,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False claude_sonnet_5,40,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False claude_sonnet_5,40,depth_height,2,20,8,6,0.3,0.4,0.14285714285714285,magenta,False,False claude_sonnet_5,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False claude_sonnet_5,40,depth_height,4,20,5,2,0.1,0.25,0.16666666666666666,0.77,False,False claude_sonnet_5,40,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False claude_sonnet_5,40,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False claude_sonnet_5,40,embedded_figures,2,20,16,10,0.5,0.8,0.6,6,False,False claude_sonnet_5,40,embedded_figures,3,20,10,10,0.5,0.5,0.0,D,False,False claude_sonnet_5,40,embedded_figures,4,20,3,7,0.35,0.15,-0.3076923076923077,6,False,False claude_sonnet_5,40,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False claude_sonnet_5,40,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False claude_sonnet_5,40,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False claude_sonnet_5,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False claude_sonnet_5,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False claude_sonnet_5,40,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False claude_sonnet_5,40,fold_punch,1,20,17,12,0.6,0.85,0.625,3,False,False claude_sonnet_5,40,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False claude_sonnet_5,40,fold_punch,3,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False claude_sonnet_5,40,fold_punch,4,20,5,7,0.35,0.25,-0.15384615384615385,exactly half,False,False claude_sonnet_5,40,fold_punch,5,20,10,10,0.5,0.5,0.0,16,False,False claude_sonnet_5,40,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False claude_sonnet_5,40,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False claude_sonnet_5,40,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False claude_sonnet_5,40,gauge_reading,4,20,3,14,0.7,0.15,-1.8333333333333333,no danger zone marked,False,False claude_sonnet_5,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False claude_sonnet_5,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False claude_sonnet_5,40,gear_train,2,20,1,20,1.0,0.05,,opposite,True,False claude_sonnet_5,40,gear_train,3,20,18,6,0.3,0.9,0.8571428571428571,C,False,False claude_sonnet_5,40,gear_train,4,20,15,1,0.05,0.75,0.7368421052631579,101.8,False,False claude_sonnet_5,40,gear_train,5,20,5,8,0.4,0.25,-0.25,decrease; direction unchanged,False,False claude_sonnet_5,40,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False claude_sonnet_5,40,hex_pathfinding,2,20,12,11,0.55,0.6,0.1111111111111111,walkable,False,False claude_sonnet_5,40,hex_pathfinding,3,20,6,6,0.3,0.3,0.0,5,False,False claude_sonnet_5,40,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False claude_sonnet_5,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False claude_sonnet_5,40,impossible_object,1,20,19,11,0.55,0.95,0.8888888888888888,5,False,False claude_sonnet_5,40,impossible_object,2,20,14,16,0.8,0.7,-0.5,yes,False,False claude_sonnet_5,40,impossible_object,3,20,2,7,0.35,0.1,-0.38461538461538464,C,False,False claude_sonnet_5,40,impossible_object,4,20,0,8,0.4,0.0,-0.6666666666666666,6,False,False claude_sonnet_5,40,impossible_object,5,20,11,16,0.8,0.55,-1.25,already constructible,False,False claude_sonnet_5,40,laser_mirror,1,20,18,9,0.45,0.9,0.8181818181818182,3,False,False claude_sonnet_5,40,laser_mirror,2,20,18,14,0.7,0.9,0.6666666666666666,yes,False,False claude_sonnet_5,40,laser_mirror,3,20,10,8,0.4,0.5,0.16666666666666666,1,False,False claude_sonnet_5,40,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False claude_sonnet_5,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False claude_sonnet_5,40,line_intersection,1,20,11,7,0.35,0.55,0.3076923076923077,2,False,False claude_sonnet_5,40,line_intersection,2,20,15,7,0.35,0.75,0.6153846153846154,0,False,False claude_sonnet_5,40,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False claude_sonnet_5,40,line_intersection,4,20,12,4,0.2,0.6,0.5,"0,0",False,False claude_sonnet_5,40,line_intersection,5,20,10,10,0.5,0.5,0.0,0,False,False claude_sonnet_5,40,nested_hexagons,1,20,5,5,0.25,0.25,0.0,4,False,False claude_sonnet_5,40,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False claude_sonnet_5,40,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False claude_sonnet_5,40,nested_hexagons,4,20,2,5,0.25,0.1,-0.2,0,False,False claude_sonnet_5,40,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False claude_sonnet_5,40,nested_squares,1,20,6,4,0.2,0.3,0.125,5,False,False claude_sonnet_5,40,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False claude_sonnet_5,40,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False claude_sonnet_5,40,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False claude_sonnet_5,40,nested_squares,5,20,8,12,0.6,0.4,-0.5,yes,False,False claude_sonnet_5,40,nested_triangles,1,20,10,6,0.3,0.5,0.2857142857142857,4,False,False claude_sonnet_5,40,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False claude_sonnet_5,40,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False claude_sonnet_5,40,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False claude_sonnet_5,40,nested_triangles,5,20,8,12,0.6,0.4,-0.5,yes,False,False claude_sonnet_5,40,occluded_pattern,1,20,13,4,0.2,0.65,0.5625,8,False,False claude_sonnet_5,40,occluded_pattern,2,20,6,5,0.25,0.3,0.06666666666666667,10,False,False claude_sonnet_5,40,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False claude_sonnet_5,40,occluded_pattern,4,20,1,6,0.3,0.05,-0.35714285714285715,2,False,False claude_sonnet_5,40,occluded_pattern,5,20,2,5,0.25,0.1,-0.2,11,False,False claude_sonnet_5,40,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False claude_sonnet_5,40,optical_illusion,2,20,17,12,0.6,0.85,0.625,B,False,False claude_sonnet_5,40,optical_illusion,3,20,8,9,0.45,0.4,-0.09090909090909091,equal,False,False claude_sonnet_5,40,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False claude_sonnet_5,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False claude_sonnet_5,40,orthographic,1,20,6,6,0.3,0.3,0.0,6,False,False claude_sonnet_5,40,orthographic,2,20,2,5,0.25,0.1,-0.2,9,False,False claude_sonnet_5,40,orthographic,3,20,11,5,0.25,0.55,0.4,front,False,False claude_sonnet_5,40,orthographic,4,20,10,8,0.4,0.5,0.16666666666666666,not unique,False,False claude_sonnet_5,40,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False claude_sonnet_5,40,overlap_circles,1,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False claude_sonnet_5,40,overlap_circles,2,20,9,11,0.55,0.45,-0.2222222222222222,no,False,False claude_sonnet_5,40,overlap_circles,3,20,5,3,0.15,0.25,0.11764705882352941,1.8,False,False claude_sonnet_5,40,overlap_circles,4,20,9,6,0.3,0.45,0.21428571428571427,0,False,False claude_sonnet_5,40,overlap_circles,5,20,0,4,0.2,0.0,-0.25,17,False,False claude_sonnet_5,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False claude_sonnet_5,40,physical_stability,2,20,13,11,0.55,0.65,0.2222222222222222,right,False,False claude_sonnet_5,40,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False claude_sonnet_5,40,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False claude_sonnet_5,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False claude_sonnet_5,40,polyhedron,1,20,7,8,0.4,0.35,-0.08333333333333333,14,False,False claude_sonnet_5,40,polyhedron,2,20,20,19,0.95,1.0,1.0,convex,False,False claude_sonnet_5,40,polyhedron,3,20,6,7,0.35,0.3,-0.07692307692307693,mixed,False,False claude_sonnet_5,40,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False claude_sonnet_5,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False claude_sonnet_5,40,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False claude_sonnet_5,40,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False claude_sonnet_5,40,projectile_motion,3,20,18,1,0.05,0.9,0.8947368421052632,13.4,False,False claude_sonnet_5,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False claude_sonnet_5,40,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False claude_sonnet_5,40,rotation_matching,1,20,19,8,0.4,0.95,0.9166666666666666,7,False,False claude_sonnet_5,40,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False claude_sonnet_5,40,rotation_matching,3,20,2,4,0.2,0.1,-0.125,315,False,False claude_sonnet_5,40,rotation_matching,4,20,4,7,0.35,0.2,-0.23076923076923078,A,False,False claude_sonnet_5,40,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False claude_sonnet_5,40,route,1,20,13,6,0.3,0.65,0.5,6,False,False claude_sonnet_5,40,route,2,20,10,11,0.55,0.5,-0.1111111111111111,1,False,False claude_sonnet_5,40,route,3,20,6,5,0.25,0.3,0.06666666666666667,4,False,False claude_sonnet_5,40,route,4,20,1,1,0.05,0.05,0.0,AC,False,False claude_sonnet_5,40,route,5,20,0,6,0.3,0.0,-0.42857142857142855,4,False,False claude_sonnet_5,40,rpm,1,20,19,9,0.45,0.95,0.9090909090909091,1,False,False claude_sonnet_5,40,rpm,2,20,15,4,0.2,0.75,0.6875,1,False,False claude_sonnet_5,40,rpm,3,20,16,5,0.25,0.8,0.7333333333333333,correct shape but wrong color,False,False claude_sonnet_5,40,rpm,4,20,9,5,0.25,0.45,0.26666666666666666,8,False,False claude_sonnet_5,40,rpm,5,20,8,11,0.55,0.4,-0.3333333333333333,9,False,False claude_sonnet_5,40,shadow_inference,1,20,9,10,0.5,0.45,-0.1,2,False,False claude_sonnet_5,40,shadow_inference,2,20,2,7,0.35,0.1,-0.38461538461538464,right,False,False claude_sonnet_5,40,shadow_inference,3,20,12,7,0.35,0.6,0.38461538461538464,low,False,False claude_sonnet_5,40,shadow_inference,4,20,4,8,0.4,0.2,-0.3333333333333333,same,False,False claude_sonnet_5,40,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False claude_sonnet_5,40,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False claude_sonnet_5,40,surface_topology,2,20,20,18,0.9,1.0,1.0,orientable,False,False claude_sonnet_5,40,surface_topology,3,20,11,7,0.35,0.55,0.3076923076923077,0,False,False claude_sonnet_5,40,surface_topology,4,20,17,8,0.4,0.85,0.75,-4; orientable,False,False claude_sonnet_5,40,surface_topology,5,20,13,8,0.4,0.65,0.4166666666666667,-5,False,False claude_sonnet_5,40,symmetry_pattern,1,20,16,11,0.55,0.8,0.5555555555555556,8,False,False claude_sonnet_5,40,symmetry_pattern,2,20,12,11,0.55,0.6,0.1111111111111111,broken,False,False claude_sonnet_5,40,symmetry_pattern,3,20,11,6,0.3,0.55,0.35714285714285715,mirror,False,False claude_sonnet_5,40,symmetry_pattern,4,20,4,7,0.35,0.2,-0.23076923076923078,8,False,False claude_sonnet_5,40,symmetry_pattern,5,20,9,20,1.0,0.45,,yes,True,False deepseek_v4_1_flash,0,angle_estimation,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False deepseek_v4_1_flash,0,angle_estimation,2,20,10,4,0.2,0.5,0.375,Angle 2,False,False deepseek_v4_1_flash,0,angle_estimation,3,20,12,6,0.3,0.6,0.42857142857142855,greater than,False,False deepseek_v4_1_flash,0,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False deepseek_v4_1_flash,0,angle_estimation,5,20,5,6,0.3,0.25,-0.07142857142857142,exceeds 180,False,False deepseek_v4_1_flash,0,clock_reading,1,20,15,4,0.2,0.75,0.6875,10,False,False deepseek_v4_1_flash,0,clock_reading,2,20,16,10,0.5,0.8,0.6,after,False,False deepseek_v4_1_flash,0,clock_reading,3,20,1,1,0.05,0.05,0.0,02:15,False,False deepseek_v4_1_flash,0,clock_reading,4,20,2,1,0.05,0.1,0.05263157894736842,123,False,False deepseek_v4_1_flash,0,clock_reading,5,20,4,1,0.05,0.2,0.15789473684210525,104,False,False deepseek_v4_1_flash,0,combination,1,20,11,7,0.35,0.55,0.3076923076923077,10,False,False deepseek_v4_1_flash,0,combination,2,20,1,13,0.65,0.05,-1.7142857142857142,C,False,False deepseek_v4_1_flash,0,combination,3,20,15,8,0.4,0.75,0.5833333333333334,yes,False,False deepseek_v4_1_flash,0,combination,4,20,1,7,0.35,0.05,-0.46153846153846156,B,False,False deepseek_v4_1_flash,0,combination,5,20,18,14,0.7,0.9,0.6666666666666666,connected,False,False deepseek_v4_1_flash,0,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False deepseek_v4_1_flash,0,combination3d,2,20,2,7,0.35,0.1,-0.38461538461538464,B,False,False deepseek_v4_1_flash,0,combination3d,3,20,13,10,0.5,0.65,0.3,yes,False,False deepseek_v4_1_flash,0,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False deepseek_v4_1_flash,0,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False deepseek_v4_1_flash,0,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False deepseek_v4_1_flash,0,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False deepseek_v4_1_flash,0,compass_bearing,3,20,8,2,0.1,0.4,0.3333333333333333,020,False,False deepseek_v4_1_flash,0,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False deepseek_v4_1_flash,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False deepseek_v4_1_flash,0,coordinate_geometry,1,20,7,2,0.1,0.35,0.2777777777777778,"(-6, -2)",False,False deepseek_v4_1_flash,0,coordinate_geometry,2,20,3,3,0.15,0.15,0.0,4.47,False,False deepseek_v4_1_flash,0,coordinate_geometry,3,20,15,5,0.25,0.75,0.6666666666666666,A and B,False,False deepseek_v4_1_flash,0,coordinate_geometry,4,20,15,6,0.3,0.75,0.6428571428571429,less than,False,False deepseek_v4_1_flash,0,coordinate_geometry,5,20,9,3,0.15,0.45,0.35294117647058826,3.16,False,False deepseek_v4_1_flash,0,cube_net,1,20,20,20,1.0,1.0,,6,True,False deepseek_v4_1_flash,0,cube_net,2,20,16,9,0.45,0.8,0.6363636363636364,E,False,False deepseek_v4_1_flash,0,cube_net,3,20,8,4,0.2,0.4,0.25,2,False,False deepseek_v4_1_flash,0,cube_net,4,20,15,11,0.55,0.75,0.4444444444444444,adjacent,False,False deepseek_v4_1_flash,0,cube_net,5,20,7,18,0.9,0.35,-5.5,no,False,False deepseek_v4_1_flash,0,cube_structure,1,20,1,6,0.3,0.05,-0.35714285714285715,12,False,False deepseek_v4_1_flash,0,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False deepseek_v4_1_flash,0,cube_structure,3,20,13,10,0.5,0.65,0.3,1,False,False deepseek_v4_1_flash,0,cube_structure,4,20,4,8,0.4,0.2,-0.3333333333333333,2,False,False deepseek_v4_1_flash,0,cube_structure,5,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False deepseek_v4_1_flash,0,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False deepseek_v4_1_flash,0,depth_height,2,20,3,6,0.3,0.15,-0.21428571428571427,magenta,False,False deepseek_v4_1_flash,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False deepseek_v4_1_flash,0,depth_height,4,20,5,2,0.1,0.25,0.16666666666666666,0.77,False,False deepseek_v4_1_flash,0,depth_height,5,20,13,11,0.55,0.65,0.2222222222222222,smaller,False,False deepseek_v4_1_flash,0,embedded_figures,1,20,2,6,0.3,0.1,-0.2857142857142857,13,False,False deepseek_v4_1_flash,0,embedded_figures,2,20,3,10,0.5,0.15,-0.7,6,False,False deepseek_v4_1_flash,0,embedded_figures,3,20,11,10,0.5,0.55,0.1,D,False,False deepseek_v4_1_flash,0,embedded_figures,4,20,5,7,0.35,0.25,-0.15384615384615385,6,False,False deepseek_v4_1_flash,0,embedded_figures,5,20,12,13,0.65,0.6,-0.14285714285714285,open,False,False deepseek_v4_1_flash,0,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False deepseek_v4_1_flash,0,fbd,2,20,11,5,0.25,0.55,0.4,N,False,False deepseek_v4_1_flash,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False deepseek_v4_1_flash,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False deepseek_v4_1_flash,0,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False deepseek_v4_1_flash,0,fold_punch,1,20,19,12,0.6,0.95,0.875,3,False,False deepseek_v4_1_flash,0,fold_punch,2,20,10,12,0.6,0.5,-0.25,8,False,False deepseek_v4_1_flash,0,fold_punch,3,20,3,7,0.35,0.15,-0.3076923076923077,B,False,False deepseek_v4_1_flash,0,fold_punch,4,20,10,7,0.35,0.5,0.23076923076923078,exactly half,False,False deepseek_v4_1_flash,0,fold_punch,5,20,12,10,0.5,0.6,0.2,16,False,False deepseek_v4_1_flash,0,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False deepseek_v4_1_flash,0,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False deepseek_v4_1_flash,0,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False deepseek_v4_1_flash,0,gauge_reading,4,20,1,14,0.7,0.05,-2.1666666666666665,no danger zone marked,False,False deepseek_v4_1_flash,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False deepseek_v4_1_flash,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False deepseek_v4_1_flash,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False deepseek_v4_1_flash,0,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False deepseek_v4_1_flash,0,gear_train,4,20,13,1,0.05,0.65,0.631578947368421,101.8,False,False deepseek_v4_1_flash,0,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False deepseek_v4_1_flash,0,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False deepseek_v4_1_flash,0,hex_pathfinding,2,20,11,11,0.55,0.55,0.0,walkable,False,False deepseek_v4_1_flash,0,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False deepseek_v4_1_flash,0,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False deepseek_v4_1_flash,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False deepseek_v4_1_flash,0,impossible_object,1,20,12,11,0.55,0.6,0.1111111111111111,5,False,False deepseek_v4_1_flash,0,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False deepseek_v4_1_flash,0,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False deepseek_v4_1_flash,0,impossible_object,4,20,2,8,0.4,0.1,-0.5,6,False,False deepseek_v4_1_flash,0,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False deepseek_v4_1_flash,0,laser_mirror,1,20,19,9,0.45,0.95,0.9090909090909091,3,False,False deepseek_v4_1_flash,0,laser_mirror,2,20,13,14,0.7,0.65,-0.16666666666666666,yes,False,False deepseek_v4_1_flash,0,laser_mirror,3,20,2,8,0.4,0.1,-0.5,1,False,False deepseek_v4_1_flash,0,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False deepseek_v4_1_flash,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False deepseek_v4_1_flash,0,line_intersection,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False deepseek_v4_1_flash,0,line_intersection,2,20,16,7,0.35,0.8,0.6923076923076923,0,False,False deepseek_v4_1_flash,0,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False deepseek_v4_1_flash,0,line_intersection,4,20,14,4,0.2,0.7,0.625,"0,0",False,False deepseek_v4_1_flash,0,line_intersection,5,20,13,10,0.5,0.65,0.3,0,False,False deepseek_v4_1_flash,0,nested_hexagons,1,20,8,5,0.25,0.4,0.2,4,False,False deepseek_v4_1_flash,0,nested_hexagons,2,20,10,13,0.65,0.5,-0.42857142857142855,constant,False,False deepseek_v4_1_flash,0,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False deepseek_v4_1_flash,0,nested_hexagons,4,20,2,5,0.25,0.1,-0.2,0,False,False deepseek_v4_1_flash,0,nested_hexagons,5,20,10,10,0.5,0.5,0.0,no,False,False deepseek_v4_1_flash,0,nested_squares,1,20,9,4,0.2,0.45,0.3125,5,False,False deepseek_v4_1_flash,0,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False deepseek_v4_1_flash,0,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False deepseek_v4_1_flash,0,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False deepseek_v4_1_flash,0,nested_squares,5,20,9,12,0.6,0.45,-0.375,yes,False,False deepseek_v4_1_flash,0,nested_triangles,1,20,9,6,0.3,0.45,0.21428571428571427,4,False,False deepseek_v4_1_flash,0,nested_triangles,2,20,11,13,0.65,0.55,-0.2857142857142857,constant,False,False deepseek_v4_1_flash,0,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False deepseek_v4_1_flash,0,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False deepseek_v4_1_flash,0,nested_triangles,5,20,13,12,0.6,0.65,0.125,yes,False,False deepseek_v4_1_flash,0,occluded_pattern,1,20,17,4,0.2,0.85,0.8125,8,False,False deepseek_v4_1_flash,0,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False deepseek_v4_1_flash,0,occluded_pattern,3,20,11,9,0.45,0.55,0.18181818181818182,circle,False,False deepseek_v4_1_flash,0,occluded_pattern,4,20,6,6,0.3,0.3,0.0,2,False,False deepseek_v4_1_flash,0,occluded_pattern,5,20,3,5,0.25,0.15,-0.13333333333333333,11,False,False deepseek_v4_1_flash,0,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False deepseek_v4_1_flash,0,optical_illusion,2,20,14,12,0.6,0.7,0.25,B,False,False deepseek_v4_1_flash,0,optical_illusion,3,20,11,9,0.45,0.55,0.18181818181818182,equal,False,False deepseek_v4_1_flash,0,optical_illusion,4,20,7,9,0.45,0.35,-0.18181818181818182,0,False,False deepseek_v4_1_flash,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False deepseek_v4_1_flash,0,orthographic,1,20,11,6,0.3,0.55,0.35714285714285715,6,False,False deepseek_v4_1_flash,0,orthographic,2,20,0,5,0.25,0.0,-0.3333333333333333,9,False,False deepseek_v4_1_flash,0,orthographic,3,20,1,5,0.25,0.05,-0.26666666666666666,front,False,False deepseek_v4_1_flash,0,orthographic,4,20,0,8,0.4,0.0,-0.6666666666666666,not unique,False,False deepseek_v4_1_flash,0,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False deepseek_v4_1_flash,0,overlap_circles,1,20,11,5,0.25,0.55,0.4,10,False,False deepseek_v4_1_flash,0,overlap_circles,2,20,9,11,0.55,0.45,-0.2222222222222222,no,False,False deepseek_v4_1_flash,0,overlap_circles,3,20,3,3,0.15,0.15,0.0,1.8,False,False deepseek_v4_1_flash,0,overlap_circles,4,20,8,6,0.3,0.4,0.14285714285714285,0,False,False deepseek_v4_1_flash,0,overlap_circles,5,20,2,4,0.2,0.1,-0.125,17,False,False deepseek_v4_1_flash,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False deepseek_v4_1_flash,0,physical_stability,2,20,11,11,0.55,0.55,0.0,right,False,False deepseek_v4_1_flash,0,physical_stability,3,20,14,10,0.5,0.7,0.4,D,False,False deepseek_v4_1_flash,0,physical_stability,4,20,2,8,0.4,0.1,-0.5,stable,False,False deepseek_v4_1_flash,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False deepseek_v4_1_flash,0,polyhedron,1,20,6,8,0.4,0.3,-0.16666666666666666,14,False,False deepseek_v4_1_flash,0,polyhedron,2,20,6,19,0.95,0.3,-13.0,convex,False,False deepseek_v4_1_flash,0,polyhedron,3,20,2,7,0.35,0.1,-0.38461538461538464,mixed,False,False deepseek_v4_1_flash,0,polyhedron,4,20,13,6,0.3,0.65,0.5,no,False,False deepseek_v4_1_flash,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False deepseek_v4_1_flash,0,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False deepseek_v4_1_flash,0,projectile_motion,2,20,18,11,0.55,0.9,0.7777777777777778,yes,False,False deepseek_v4_1_flash,0,projectile_motion,3,20,15,1,0.05,0.75,0.7368421052631579,13.4,False,False deepseek_v4_1_flash,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False deepseek_v4_1_flash,0,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False deepseek_v4_1_flash,0,rotation_matching,1,20,12,8,0.4,0.6,0.3333333333333333,7,False,False deepseek_v4_1_flash,0,rotation_matching,2,20,7,6,0.3,0.35,0.07142857142857142,B,False,False deepseek_v4_1_flash,0,rotation_matching,3,20,5,4,0.2,0.25,0.0625,315,False,False deepseek_v4_1_flash,0,rotation_matching,4,20,5,7,0.35,0.25,-0.15384615384615385,A,False,False deepseek_v4_1_flash,0,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False deepseek_v4_1_flash,0,route,1,20,10,6,0.3,0.5,0.2857142857142857,6,False,False deepseek_v4_1_flash,0,route,2,20,1,11,0.55,0.05,-1.1111111111111112,1,False,False deepseek_v4_1_flash,0,route,3,20,4,5,0.25,0.2,-0.06666666666666667,4,False,False deepseek_v4_1_flash,0,route,4,20,0,1,0.05,0.0,-0.05263157894736842,AC,False,False deepseek_v4_1_flash,0,route,5,20,3,6,0.3,0.15,-0.21428571428571427,4,False,False deepseek_v4_1_flash,0,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False deepseek_v4_1_flash,0,rpm,2,20,15,4,0.2,0.75,0.6875,1,False,False deepseek_v4_1_flash,0,rpm,3,20,9,5,0.25,0.45,0.26666666666666666,correct shape but wrong color,False,False deepseek_v4_1_flash,0,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False deepseek_v4_1_flash,0,rpm,5,20,9,11,0.55,0.45,-0.2222222222222222,9,False,False deepseek_v4_1_flash,0,shadow_inference,1,20,18,10,0.5,0.9,0.8,2,False,False deepseek_v4_1_flash,0,shadow_inference,2,20,15,7,0.35,0.75,0.6153846153846154,right,False,False deepseek_v4_1_flash,0,shadow_inference,3,20,13,7,0.35,0.65,0.46153846153846156,low,False,False deepseek_v4_1_flash,0,shadow_inference,4,20,1,8,0.4,0.05,-0.5833333333333334,same,False,False deepseek_v4_1_flash,0,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False deepseek_v4_1_flash,0,surface_topology,1,20,16,8,0.4,0.8,0.6666666666666666,3,False,False deepseek_v4_1_flash,0,surface_topology,2,20,16,18,0.9,0.8,-1.0,orientable,False,False deepseek_v4_1_flash,0,surface_topology,3,20,9,7,0.35,0.45,0.15384615384615385,0,False,False deepseek_v4_1_flash,0,surface_topology,4,20,10,8,0.4,0.5,0.16666666666666666,-4; orientable,False,False deepseek_v4_1_flash,0,surface_topology,5,20,7,8,0.4,0.35,-0.08333333333333333,-5,False,False deepseek_v4_1_flash,0,symmetry_pattern,1,20,19,11,0.55,0.95,0.8888888888888888,8,False,False deepseek_v4_1_flash,0,symmetry_pattern,2,20,15,11,0.55,0.75,0.4444444444444444,broken,False,False deepseek_v4_1_flash,0,symmetry_pattern,3,20,13,6,0.3,0.65,0.5,mirror,False,False deepseek_v4_1_flash,0,symmetry_pattern,4,20,7,7,0.35,0.35,0.0,8,False,False deepseek_v4_1_flash,0,symmetry_pattern,5,20,19,20,1.0,0.95,,yes,True,False deepseek_v4_1_flash,15,angle_estimation,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False deepseek_v4_1_flash,15,angle_estimation,2,20,8,4,0.2,0.4,0.25,Angle 2,False,False deepseek_v4_1_flash,15,angle_estimation,3,20,9,6,0.3,0.45,0.21428571428571427,greater than,False,False deepseek_v4_1_flash,15,angle_estimation,4,20,5,4,0.2,0.25,0.0625,180,False,False deepseek_v4_1_flash,15,angle_estimation,5,20,8,6,0.3,0.4,0.14285714285714285,exceeds 180,False,False deepseek_v4_1_flash,15,clock_reading,1,20,16,4,0.2,0.8,0.75,10,False,False deepseek_v4_1_flash,15,clock_reading,2,20,15,10,0.5,0.75,0.5,after,False,False deepseek_v4_1_flash,15,clock_reading,3,20,3,1,0.05,0.15,0.10526315789473684,02:15,False,False deepseek_v4_1_flash,15,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False deepseek_v4_1_flash,15,clock_reading,5,20,1,1,0.05,0.05,0.0,104,False,False deepseek_v4_1_flash,15,combination,1,20,4,7,0.35,0.2,-0.23076923076923078,10,False,False deepseek_v4_1_flash,15,combination,2,20,2,13,0.65,0.1,-1.5714285714285714,C,False,False deepseek_v4_1_flash,15,combination,3,20,11,8,0.4,0.55,0.25,yes,False,False deepseek_v4_1_flash,15,combination,4,20,1,7,0.35,0.05,-0.46153846153846156,B,False,False deepseek_v4_1_flash,15,combination,5,20,16,14,0.7,0.8,0.3333333333333333,connected,False,False deepseek_v4_1_flash,15,combination3d,1,20,2,7,0.35,0.1,-0.38461538461538464,14,False,False deepseek_v4_1_flash,15,combination3d,2,20,0,7,0.35,0.0,-0.5384615384615384,B,False,False deepseek_v4_1_flash,15,combination3d,3,20,9,10,0.5,0.45,-0.1,yes,False,False deepseek_v4_1_flash,15,combination3d,4,20,1,5,0.25,0.05,-0.26666666666666666,D,False,False deepseek_v4_1_flash,15,combination3d,5,20,9,10,0.5,0.45,-0.1,"same shape, different angle",False,False deepseek_v4_1_flash,15,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False deepseek_v4_1_flash,15,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False deepseek_v4_1_flash,15,compass_bearing,3,20,2,2,0.1,0.1,0.0,020,False,False deepseek_v4_1_flash,15,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False deepseek_v4_1_flash,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False deepseek_v4_1_flash,15,coordinate_geometry,1,20,5,2,0.1,0.25,0.16666666666666666,"(-6, -2)",False,False deepseek_v4_1_flash,15,coordinate_geometry,2,20,4,3,0.15,0.2,0.058823529411764705,4.47,False,False deepseek_v4_1_flash,15,coordinate_geometry,3,20,10,5,0.25,0.5,0.3333333333333333,A and B,False,False deepseek_v4_1_flash,15,coordinate_geometry,4,20,14,6,0.3,0.7,0.5714285714285714,less than,False,False deepseek_v4_1_flash,15,coordinate_geometry,5,20,6,3,0.15,0.3,0.17647058823529413,3.16,False,False deepseek_v4_1_flash,15,cube_net,1,20,20,20,1.0,1.0,,6,True,False deepseek_v4_1_flash,15,cube_net,2,20,17,9,0.45,0.85,0.7272727272727273,E,False,False deepseek_v4_1_flash,15,cube_net,3,20,12,4,0.2,0.6,0.5,2,False,False deepseek_v4_1_flash,15,cube_net,4,20,15,11,0.55,0.75,0.4444444444444444,adjacent,False,False deepseek_v4_1_flash,15,cube_net,5,20,5,18,0.9,0.25,-6.5,no,False,False deepseek_v4_1_flash,15,cube_structure,1,20,0,6,0.3,0.0,-0.42857142857142855,12,False,False deepseek_v4_1_flash,15,cube_structure,2,20,5,4,0.2,0.25,0.0625,10,False,False deepseek_v4_1_flash,15,cube_structure,3,20,5,10,0.5,0.25,-0.5,1,False,False deepseek_v4_1_flash,15,cube_structure,4,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False deepseek_v4_1_flash,15,cube_structure,5,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False deepseek_v4_1_flash,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False deepseek_v4_1_flash,15,depth_height,2,20,6,6,0.3,0.3,0.0,magenta,False,False deepseek_v4_1_flash,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False deepseek_v4_1_flash,15,depth_height,4,20,5,2,0.1,0.25,0.16666666666666666,0.77,False,False deepseek_v4_1_flash,15,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False deepseek_v4_1_flash,15,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False deepseek_v4_1_flash,15,embedded_figures,2,20,5,10,0.5,0.25,-0.5,6,False,False deepseek_v4_1_flash,15,embedded_figures,3,20,7,10,0.5,0.35,-0.3,D,False,False deepseek_v4_1_flash,15,embedded_figures,4,20,7,7,0.35,0.35,0.0,6,False,False deepseek_v4_1_flash,15,embedded_figures,5,20,12,13,0.65,0.6,-0.14285714285714285,open,False,False deepseek_v4_1_flash,15,fbd,1,20,18,8,0.4,0.9,0.8333333333333334,4,False,False deepseek_v4_1_flash,15,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False deepseek_v4_1_flash,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False deepseek_v4_1_flash,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False deepseek_v4_1_flash,15,fbd,5,20,1,9,0.45,0.05,-0.7272727272727273,"downward (270 degrees; 0=right, 90=up)",False,False deepseek_v4_1_flash,15,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False deepseek_v4_1_flash,15,fold_punch,2,20,9,12,0.6,0.45,-0.375,8,False,False deepseek_v4_1_flash,15,fold_punch,3,20,2,7,0.35,0.1,-0.38461538461538464,B,False,False deepseek_v4_1_flash,15,fold_punch,4,20,10,7,0.35,0.5,0.23076923076923078,exactly half,False,False deepseek_v4_1_flash,15,fold_punch,5,20,10,10,0.5,0.5,0.0,16,False,False deepseek_v4_1_flash,15,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False deepseek_v4_1_flash,15,gauge_reading,2,20,19,12,0.6,0.95,0.875,upper half,False,False deepseek_v4_1_flash,15,gauge_reading,3,20,15,2,0.1,0.75,0.7222222222222222,100,False,False deepseek_v4_1_flash,15,gauge_reading,4,20,1,14,0.7,0.05,-2.1666666666666665,no danger zone marked,False,False deepseek_v4_1_flash,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False deepseek_v4_1_flash,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False deepseek_v4_1_flash,15,gear_train,2,20,1,20,1.0,0.05,,opposite,True,False deepseek_v4_1_flash,15,gear_train,3,20,18,6,0.3,0.9,0.8571428571428571,C,False,False deepseek_v4_1_flash,15,gear_train,4,20,11,1,0.05,0.55,0.5263157894736842,101.8,False,False deepseek_v4_1_flash,15,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False deepseek_v4_1_flash,15,hex_pathfinding,1,20,2,3,0.15,0.1,-0.058823529411764705,5,False,False deepseek_v4_1_flash,15,hex_pathfinding,2,20,12,11,0.55,0.6,0.1111111111111111,walkable,False,False deepseek_v4_1_flash,15,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False deepseek_v4_1_flash,15,hex_pathfinding,4,20,1,5,0.25,0.05,-0.26666666666666666,multiple (4),False,False deepseek_v4_1_flash,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False deepseek_v4_1_flash,15,impossible_object,1,20,13,11,0.55,0.65,0.2222222222222222,5,False,False deepseek_v4_1_flash,15,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False deepseek_v4_1_flash,15,impossible_object,3,20,7,7,0.35,0.35,0.0,C,False,False deepseek_v4_1_flash,15,impossible_object,4,20,2,8,0.4,0.1,-0.5,6,False,False deepseek_v4_1_flash,15,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False deepseek_v4_1_flash,15,laser_mirror,1,20,18,9,0.45,0.9,0.8181818181818182,3,False,False deepseek_v4_1_flash,15,laser_mirror,2,20,13,14,0.7,0.65,-0.16666666666666666,yes,False,False deepseek_v4_1_flash,15,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False deepseek_v4_1_flash,15,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False deepseek_v4_1_flash,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False deepseek_v4_1_flash,15,line_intersection,1,20,12,7,0.35,0.6,0.38461538461538464,2,False,False deepseek_v4_1_flash,15,line_intersection,2,20,15,7,0.35,0.75,0.6153846153846154,0,False,False deepseek_v4_1_flash,15,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False deepseek_v4_1_flash,15,line_intersection,4,20,9,4,0.2,0.45,0.3125,"0,0",False,False deepseek_v4_1_flash,15,line_intersection,5,20,11,10,0.5,0.55,0.1,0,False,False deepseek_v4_1_flash,15,nested_hexagons,1,20,6,5,0.25,0.3,0.06666666666666667,4,False,False deepseek_v4_1_flash,15,nested_hexagons,2,20,7,13,0.65,0.35,-0.8571428571428571,constant,False,False deepseek_v4_1_flash,15,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False deepseek_v4_1_flash,15,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False deepseek_v4_1_flash,15,nested_hexagons,5,20,9,10,0.5,0.45,-0.1,no,False,False deepseek_v4_1_flash,15,nested_squares,1,20,6,4,0.2,0.3,0.125,5,False,False deepseek_v4_1_flash,15,nested_squares,2,20,7,11,0.55,0.35,-0.4444444444444444,changing,False,False deepseek_v4_1_flash,15,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False deepseek_v4_1_flash,15,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False deepseek_v4_1_flash,15,nested_squares,5,20,8,12,0.6,0.4,-0.5,yes,False,False deepseek_v4_1_flash,15,nested_triangles,1,20,6,6,0.3,0.3,0.0,4,False,False deepseek_v4_1_flash,15,nested_triangles,2,20,10,13,0.65,0.5,-0.42857142857142855,constant,False,False deepseek_v4_1_flash,15,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False deepseek_v4_1_flash,15,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False deepseek_v4_1_flash,15,nested_triangles,5,20,11,12,0.6,0.55,-0.125,yes,False,False deepseek_v4_1_flash,15,occluded_pattern,1,20,16,4,0.2,0.8,0.75,8,False,False deepseek_v4_1_flash,15,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False deepseek_v4_1_flash,15,occluded_pattern,3,20,10,9,0.45,0.5,0.09090909090909091,circle,False,False deepseek_v4_1_flash,15,occluded_pattern,4,20,3,6,0.3,0.15,-0.21428571428571427,2,False,False deepseek_v4_1_flash,15,occluded_pattern,5,20,3,5,0.25,0.15,-0.13333333333333333,11,False,False deepseek_v4_1_flash,15,optical_illusion,1,20,19,20,1.0,0.95,,2,True,False deepseek_v4_1_flash,15,optical_illusion,2,20,13,12,0.6,0.65,0.125,B,False,False deepseek_v4_1_flash,15,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False deepseek_v4_1_flash,15,optical_illusion,4,20,8,9,0.45,0.4,-0.09090909090909091,0,False,False deepseek_v4_1_flash,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False deepseek_v4_1_flash,15,orthographic,1,20,5,6,0.3,0.25,-0.07142857142857142,6,False,False deepseek_v4_1_flash,15,orthographic,2,20,0,5,0.25,0.0,-0.3333333333333333,9,False,False deepseek_v4_1_flash,15,orthographic,3,20,3,5,0.25,0.15,-0.13333333333333333,front,False,False deepseek_v4_1_flash,15,orthographic,4,20,1,8,0.4,0.05,-0.5833333333333334,not unique,False,False deepseek_v4_1_flash,15,orthographic,5,20,1,20,1.0,0.05,,front and side,True,False deepseek_v4_1_flash,15,overlap_circles,1,20,6,5,0.25,0.3,0.06666666666666667,10,False,False deepseek_v4_1_flash,15,overlap_circles,2,20,9,11,0.55,0.45,-0.2222222222222222,no,False,False deepseek_v4_1_flash,15,overlap_circles,3,20,2,3,0.15,0.1,-0.058823529411764705,1.8,False,False deepseek_v4_1_flash,15,overlap_circles,4,20,9,6,0.3,0.45,0.21428571428571427,0,False,False deepseek_v4_1_flash,15,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False deepseek_v4_1_flash,15,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False deepseek_v4_1_flash,15,physical_stability,2,20,13,11,0.55,0.65,0.2222222222222222,right,False,False deepseek_v4_1_flash,15,physical_stability,3,20,16,10,0.5,0.8,0.6,D,False,False deepseek_v4_1_flash,15,physical_stability,4,20,3,8,0.4,0.15,-0.4166666666666667,stable,False,False deepseek_v4_1_flash,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False deepseek_v4_1_flash,15,polyhedron,1,20,3,8,0.4,0.15,-0.4166666666666667,14,False,False deepseek_v4_1_flash,15,polyhedron,2,20,5,19,0.95,0.25,-14.0,convex,False,False deepseek_v4_1_flash,15,polyhedron,3,20,1,7,0.35,0.05,-0.46153846153846156,mixed,False,False deepseek_v4_1_flash,15,polyhedron,4,20,12,6,0.3,0.6,0.42857142857142855,no,False,False deepseek_v4_1_flash,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False deepseek_v4_1_flash,15,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False deepseek_v4_1_flash,15,projectile_motion,2,20,19,11,0.55,0.95,0.8888888888888888,yes,False,False deepseek_v4_1_flash,15,projectile_motion,3,20,15,1,0.05,0.75,0.7368421052631579,13.4,False,False deepseek_v4_1_flash,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False deepseek_v4_1_flash,15,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False deepseek_v4_1_flash,15,rotation_matching,1,20,13,8,0.4,0.65,0.4166666666666667,7,False,False deepseek_v4_1_flash,15,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False deepseek_v4_1_flash,15,rotation_matching,3,20,2,4,0.2,0.1,-0.125,315,False,False deepseek_v4_1_flash,15,rotation_matching,4,20,3,7,0.35,0.15,-0.3076923076923077,A,False,False deepseek_v4_1_flash,15,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False deepseek_v4_1_flash,15,route,1,20,8,6,0.3,0.4,0.14285714285714285,6,False,False deepseek_v4_1_flash,15,route,2,20,2,11,0.55,0.1,-1.0,1,False,False deepseek_v4_1_flash,15,route,3,20,6,5,0.25,0.3,0.06666666666666667,4,False,False deepseek_v4_1_flash,15,route,4,20,0,1,0.05,0.0,-0.05263157894736842,AC,False,False deepseek_v4_1_flash,15,route,5,20,4,6,0.3,0.2,-0.14285714285714285,4,False,False deepseek_v4_1_flash,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False deepseek_v4_1_flash,15,rpm,2,20,14,4,0.2,0.7,0.625,1,False,False deepseek_v4_1_flash,15,rpm,3,20,13,5,0.25,0.65,0.5333333333333333,correct shape but wrong color,False,False deepseek_v4_1_flash,15,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False deepseek_v4_1_flash,15,rpm,5,20,7,11,0.55,0.35,-0.4444444444444444,9,False,False deepseek_v4_1_flash,15,shadow_inference,1,20,12,10,0.5,0.6,0.2,2,False,False deepseek_v4_1_flash,15,shadow_inference,2,20,6,7,0.35,0.3,-0.07692307692307693,right,False,False deepseek_v4_1_flash,15,shadow_inference,3,20,14,7,0.35,0.7,0.5384615384615384,low,False,False deepseek_v4_1_flash,15,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False deepseek_v4_1_flash,15,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False deepseek_v4_1_flash,15,surface_topology,1,20,14,8,0.4,0.7,0.5,3,False,False deepseek_v4_1_flash,15,surface_topology,2,20,14,18,0.9,0.7,-2.0,orientable,False,False deepseek_v4_1_flash,15,surface_topology,3,20,5,7,0.35,0.25,-0.15384615384615385,0,False,False deepseek_v4_1_flash,15,surface_topology,4,20,8,8,0.4,0.4,0.0,-4; orientable,False,False deepseek_v4_1_flash,15,surface_topology,5,20,9,8,0.4,0.45,0.08333333333333333,-5,False,False deepseek_v4_1_flash,15,symmetry_pattern,1,20,19,11,0.55,0.95,0.8888888888888888,8,False,False deepseek_v4_1_flash,15,symmetry_pattern,2,20,10,11,0.55,0.5,-0.1111111111111111,broken,False,False deepseek_v4_1_flash,15,symmetry_pattern,3,20,9,6,0.3,0.45,0.21428571428571427,mirror,False,False deepseek_v4_1_flash,15,symmetry_pattern,4,20,6,7,0.35,0.3,-0.07692307692307693,8,False,False deepseek_v4_1_flash,15,symmetry_pattern,5,20,18,20,1.0,0.9,,yes,True,False deepseek_v4_1_flash,25,angle_estimation,1,20,16,7,0.35,0.8,0.6923076923076923,2,False,False deepseek_v4_1_flash,25,angle_estimation,2,20,10,4,0.2,0.5,0.375,Angle 2,False,False deepseek_v4_1_flash,25,angle_estimation,3,20,5,6,0.3,0.25,-0.07142857142857142,greater than,False,False deepseek_v4_1_flash,25,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False deepseek_v4_1_flash,25,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False deepseek_v4_1_flash,25,clock_reading,1,20,13,4,0.2,0.65,0.5625,10,False,False deepseek_v4_1_flash,25,clock_reading,2,20,15,10,0.5,0.75,0.5,after,False,False deepseek_v4_1_flash,25,clock_reading,3,20,4,1,0.05,0.2,0.15789473684210525,02:15,False,False deepseek_v4_1_flash,25,clock_reading,4,20,2,1,0.05,0.1,0.05263157894736842,123,False,False deepseek_v4_1_flash,25,clock_reading,5,20,3,1,0.05,0.15,0.10526315789473684,104,False,False deepseek_v4_1_flash,25,combination,1,20,6,7,0.35,0.3,-0.07692307692307693,10,False,False deepseek_v4_1_flash,25,combination,2,20,0,13,0.65,0.0,-1.8571428571428572,C,False,False deepseek_v4_1_flash,25,combination,3,20,14,8,0.4,0.7,0.5,yes,False,False deepseek_v4_1_flash,25,combination,4,20,0,7,0.35,0.0,-0.5384615384615384,B,False,False deepseek_v4_1_flash,25,combination,5,20,16,14,0.7,0.8,0.3333333333333333,connected,False,False deepseek_v4_1_flash,25,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False deepseek_v4_1_flash,25,combination3d,2,20,1,7,0.35,0.05,-0.46153846153846156,B,False,False deepseek_v4_1_flash,25,combination3d,3,20,10,10,0.5,0.5,0.0,yes,False,False deepseek_v4_1_flash,25,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False deepseek_v4_1_flash,25,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False deepseek_v4_1_flash,25,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False deepseek_v4_1_flash,25,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False deepseek_v4_1_flash,25,compass_bearing,3,20,6,2,0.1,0.3,0.2222222222222222,020,False,False deepseek_v4_1_flash,25,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False deepseek_v4_1_flash,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False deepseek_v4_1_flash,25,coordinate_geometry,1,20,1,2,0.1,0.05,-0.05555555555555555,"(-6, -2)",False,False deepseek_v4_1_flash,25,coordinate_geometry,2,20,5,3,0.15,0.25,0.11764705882352941,4.47,False,False deepseek_v4_1_flash,25,coordinate_geometry,3,20,10,5,0.25,0.5,0.3333333333333333,A and B,False,False deepseek_v4_1_flash,25,coordinate_geometry,4,20,13,6,0.3,0.65,0.5,less than,False,False deepseek_v4_1_flash,25,coordinate_geometry,5,20,4,3,0.15,0.2,0.058823529411764705,3.16,False,False deepseek_v4_1_flash,25,cube_net,1,20,19,20,1.0,0.95,,6,True,False deepseek_v4_1_flash,25,cube_net,2,20,18,9,0.45,0.9,0.8181818181818182,E,False,False deepseek_v4_1_flash,25,cube_net,3,20,9,4,0.2,0.45,0.3125,2,False,False deepseek_v4_1_flash,25,cube_net,4,20,13,11,0.55,0.65,0.2222222222222222,adjacent,False,False deepseek_v4_1_flash,25,cube_net,5,20,6,18,0.9,0.3,-6.0,no,False,False deepseek_v4_1_flash,25,cube_structure,1,20,0,6,0.3,0.0,-0.42857142857142855,12,False,False deepseek_v4_1_flash,25,cube_structure,2,20,1,4,0.2,0.05,-0.1875,10,False,False deepseek_v4_1_flash,25,cube_structure,3,20,8,10,0.5,0.4,-0.2,1,False,False deepseek_v4_1_flash,25,cube_structure,4,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False deepseek_v4_1_flash,25,cube_structure,5,20,2,8,0.4,0.1,-0.5,2,False,False deepseek_v4_1_flash,25,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False deepseek_v4_1_flash,25,depth_height,2,20,5,6,0.3,0.25,-0.07142857142857142,magenta,False,False deepseek_v4_1_flash,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False deepseek_v4_1_flash,25,depth_height,4,20,3,2,0.1,0.15,0.05555555555555555,0.77,False,False deepseek_v4_1_flash,25,depth_height,5,20,17,11,0.55,0.85,0.6666666666666666,smaller,False,False deepseek_v4_1_flash,25,embedded_figures,1,20,4,6,0.3,0.2,-0.14285714285714285,13,False,False deepseek_v4_1_flash,25,embedded_figures,2,20,1,10,0.5,0.05,-0.9,6,False,False deepseek_v4_1_flash,25,embedded_figures,3,20,4,10,0.5,0.2,-0.6,D,False,False deepseek_v4_1_flash,25,embedded_figures,4,20,6,7,0.35,0.3,-0.07692307692307693,6,False,False deepseek_v4_1_flash,25,embedded_figures,5,20,12,13,0.65,0.6,-0.14285714285714285,open,False,False deepseek_v4_1_flash,25,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False deepseek_v4_1_flash,25,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False deepseek_v4_1_flash,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False deepseek_v4_1_flash,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False deepseek_v4_1_flash,25,fbd,5,20,1,9,0.45,0.05,-0.7272727272727273,"downward (270 degrees; 0=right, 90=up)",False,False deepseek_v4_1_flash,25,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False deepseek_v4_1_flash,25,fold_punch,2,20,13,12,0.6,0.65,0.125,8,False,False deepseek_v4_1_flash,25,fold_punch,3,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False deepseek_v4_1_flash,25,fold_punch,4,20,11,7,0.35,0.55,0.3076923076923077,exactly half,False,False deepseek_v4_1_flash,25,fold_punch,5,20,11,10,0.5,0.55,0.1,16,False,False deepseek_v4_1_flash,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False deepseek_v4_1_flash,25,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False deepseek_v4_1_flash,25,gauge_reading,3,20,13,2,0.1,0.65,0.6111111111111112,100,False,False deepseek_v4_1_flash,25,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False deepseek_v4_1_flash,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False deepseek_v4_1_flash,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False deepseek_v4_1_flash,25,gear_train,2,20,1,20,1.0,0.05,,opposite,True,False deepseek_v4_1_flash,25,gear_train,3,20,17,6,0.3,0.85,0.7857142857142857,C,False,False deepseek_v4_1_flash,25,gear_train,4,20,9,1,0.05,0.45,0.42105263157894735,101.8,False,False deepseek_v4_1_flash,25,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False deepseek_v4_1_flash,25,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False deepseek_v4_1_flash,25,hex_pathfinding,2,20,15,11,0.55,0.75,0.4444444444444444,walkable,False,False deepseek_v4_1_flash,25,hex_pathfinding,3,20,1,6,0.3,0.05,-0.35714285714285715,5,False,False deepseek_v4_1_flash,25,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False deepseek_v4_1_flash,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False deepseek_v4_1_flash,25,impossible_object,1,20,13,11,0.55,0.65,0.2222222222222222,5,False,False deepseek_v4_1_flash,25,impossible_object,2,20,5,16,0.8,0.25,-2.75,yes,False,False deepseek_v4_1_flash,25,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False deepseek_v4_1_flash,25,impossible_object,4,20,1,8,0.4,0.05,-0.5833333333333334,6,False,False deepseek_v4_1_flash,25,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False deepseek_v4_1_flash,25,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False deepseek_v4_1_flash,25,laser_mirror,2,20,13,14,0.7,0.65,-0.16666666666666666,yes,False,False deepseek_v4_1_flash,25,laser_mirror,3,20,0,8,0.4,0.0,-0.6666666666666666,1,False,False deepseek_v4_1_flash,25,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False deepseek_v4_1_flash,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False deepseek_v4_1_flash,25,line_intersection,1,20,11,7,0.35,0.55,0.3076923076923077,2,False,False deepseek_v4_1_flash,25,line_intersection,2,20,14,7,0.35,0.7,0.5384615384615384,0,False,False deepseek_v4_1_flash,25,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False deepseek_v4_1_flash,25,line_intersection,4,20,14,4,0.2,0.7,0.625,"0,0",False,False deepseek_v4_1_flash,25,line_intersection,5,20,11,10,0.5,0.55,0.1,0,False,False deepseek_v4_1_flash,25,nested_hexagons,1,20,7,5,0.25,0.35,0.13333333333333333,4,False,False deepseek_v4_1_flash,25,nested_hexagons,2,20,10,13,0.65,0.5,-0.42857142857142855,constant,False,False deepseek_v4_1_flash,25,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False deepseek_v4_1_flash,25,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False deepseek_v4_1_flash,25,nested_hexagons,5,20,9,10,0.5,0.45,-0.1,no,False,False deepseek_v4_1_flash,25,nested_squares,1,20,6,4,0.2,0.3,0.125,5,False,False deepseek_v4_1_flash,25,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False deepseek_v4_1_flash,25,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False deepseek_v4_1_flash,25,nested_squares,4,20,1,3,0.15,0.05,-0.11764705882352941,0,False,False deepseek_v4_1_flash,25,nested_squares,5,20,11,12,0.6,0.55,-0.125,yes,False,False deepseek_v4_1_flash,25,nested_triangles,1,20,6,6,0.3,0.3,0.0,4,False,False deepseek_v4_1_flash,25,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False deepseek_v4_1_flash,25,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False deepseek_v4_1_flash,25,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False deepseek_v4_1_flash,25,nested_triangles,5,20,10,12,0.6,0.5,-0.25,yes,False,False deepseek_v4_1_flash,25,occluded_pattern,1,20,13,4,0.2,0.65,0.5625,8,False,False deepseek_v4_1_flash,25,occluded_pattern,2,20,4,5,0.25,0.2,-0.06666666666666667,10,False,False deepseek_v4_1_flash,25,occluded_pattern,3,20,11,9,0.45,0.55,0.18181818181818182,circle,False,False deepseek_v4_1_flash,25,occluded_pattern,4,20,3,6,0.3,0.15,-0.21428571428571427,2,False,False deepseek_v4_1_flash,25,occluded_pattern,5,20,4,5,0.25,0.2,-0.06666666666666667,11,False,False deepseek_v4_1_flash,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False deepseek_v4_1_flash,25,optical_illusion,2,20,13,12,0.6,0.65,0.125,B,False,False deepseek_v4_1_flash,25,optical_illusion,3,20,12,9,0.45,0.6,0.2727272727272727,equal,False,False deepseek_v4_1_flash,25,optical_illusion,4,20,3,9,0.45,0.15,-0.5454545454545454,0,False,False deepseek_v4_1_flash,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False deepseek_v4_1_flash,25,orthographic,1,20,5,6,0.3,0.25,-0.07142857142857142,6,False,False deepseek_v4_1_flash,25,orthographic,2,20,0,5,0.25,0.0,-0.3333333333333333,9,False,False deepseek_v4_1_flash,25,orthographic,3,20,6,5,0.25,0.3,0.06666666666666667,front,False,False deepseek_v4_1_flash,25,orthographic,4,20,4,8,0.4,0.2,-0.3333333333333333,not unique,False,False deepseek_v4_1_flash,25,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False deepseek_v4_1_flash,25,overlap_circles,1,20,7,5,0.25,0.35,0.13333333333333333,10,False,False deepseek_v4_1_flash,25,overlap_circles,2,20,8,11,0.55,0.4,-0.3333333333333333,no,False,False deepseek_v4_1_flash,25,overlap_circles,3,20,2,3,0.15,0.1,-0.058823529411764705,1.8,False,False deepseek_v4_1_flash,25,overlap_circles,4,20,10,6,0.3,0.5,0.2857142857142857,0,False,False deepseek_v4_1_flash,25,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False deepseek_v4_1_flash,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False deepseek_v4_1_flash,25,physical_stability,2,20,10,11,0.55,0.5,-0.1111111111111111,right,False,False deepseek_v4_1_flash,25,physical_stability,3,20,13,10,0.5,0.65,0.3,D,False,False deepseek_v4_1_flash,25,physical_stability,4,20,1,8,0.4,0.05,-0.5833333333333334,stable,False,False deepseek_v4_1_flash,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False deepseek_v4_1_flash,25,polyhedron,1,20,4,8,0.4,0.2,-0.3333333333333333,14,False,False deepseek_v4_1_flash,25,polyhedron,2,20,9,19,0.95,0.45,-10.0,convex,False,False deepseek_v4_1_flash,25,polyhedron,3,20,2,7,0.35,0.1,-0.38461538461538464,mixed,False,False deepseek_v4_1_flash,25,polyhedron,4,20,13,6,0.3,0.65,0.5,no,False,False deepseek_v4_1_flash,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False deepseek_v4_1_flash,25,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False deepseek_v4_1_flash,25,projectile_motion,2,20,19,11,0.55,0.95,0.8888888888888888,yes,False,False deepseek_v4_1_flash,25,projectile_motion,3,20,15,1,0.05,0.75,0.7368421052631579,13.4,False,False deepseek_v4_1_flash,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False deepseek_v4_1_flash,25,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False deepseek_v4_1_flash,25,rotation_matching,1,20,11,8,0.4,0.55,0.25,7,False,False deepseek_v4_1_flash,25,rotation_matching,2,20,3,6,0.3,0.15,-0.21428571428571427,B,False,False deepseek_v4_1_flash,25,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False deepseek_v4_1_flash,25,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False deepseek_v4_1_flash,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False deepseek_v4_1_flash,25,route,1,20,13,6,0.3,0.65,0.5,6,False,False deepseek_v4_1_flash,25,route,2,20,1,11,0.55,0.05,-1.1111111111111112,1,False,False deepseek_v4_1_flash,25,route,3,20,1,5,0.25,0.05,-0.26666666666666666,4,False,False deepseek_v4_1_flash,25,route,4,20,0,1,0.05,0.0,-0.05263157894736842,AC,False,False deepseek_v4_1_flash,25,route,5,20,4,6,0.3,0.2,-0.14285714285714285,4,False,False deepseek_v4_1_flash,25,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False deepseek_v4_1_flash,25,rpm,2,20,16,4,0.2,0.8,0.75,1,False,False deepseek_v4_1_flash,25,rpm,3,20,6,5,0.25,0.3,0.06666666666666667,correct shape but wrong color,False,False deepseek_v4_1_flash,25,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False deepseek_v4_1_flash,25,rpm,5,20,6,11,0.55,0.3,-0.5555555555555556,9,False,False deepseek_v4_1_flash,25,shadow_inference,1,20,13,10,0.5,0.65,0.3,2,False,False deepseek_v4_1_flash,25,shadow_inference,2,20,7,7,0.35,0.35,0.0,right,False,False deepseek_v4_1_flash,25,shadow_inference,3,20,13,7,0.35,0.65,0.46153846153846156,low,False,False deepseek_v4_1_flash,25,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False deepseek_v4_1_flash,25,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False deepseek_v4_1_flash,25,surface_topology,1,20,15,8,0.4,0.75,0.5833333333333334,3,False,False deepseek_v4_1_flash,25,surface_topology,2,20,18,18,0.9,0.9,0.0,orientable,False,False deepseek_v4_1_flash,25,surface_topology,3,20,9,7,0.35,0.45,0.15384615384615385,0,False,False deepseek_v4_1_flash,25,surface_topology,4,20,14,8,0.4,0.7,0.5,-4; orientable,False,False deepseek_v4_1_flash,25,surface_topology,5,20,8,8,0.4,0.4,0.0,-5,False,False deepseek_v4_1_flash,25,symmetry_pattern,1,20,19,11,0.55,0.95,0.8888888888888888,8,False,False deepseek_v4_1_flash,25,symmetry_pattern,2,20,11,11,0.55,0.55,0.0,broken,False,False deepseek_v4_1_flash,25,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False deepseek_v4_1_flash,25,symmetry_pattern,4,20,5,7,0.35,0.25,-0.15384615384615385,8,False,False deepseek_v4_1_flash,25,symmetry_pattern,5,20,18,20,1.0,0.9,,yes,True,False deepseek_v4_1_flash,40,angle_estimation,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False deepseek_v4_1_flash,40,angle_estimation,2,20,6,4,0.2,0.3,0.125,Angle 2,False,False deepseek_v4_1_flash,40,angle_estimation,3,20,3,6,0.3,0.15,-0.21428571428571427,greater than,False,False deepseek_v4_1_flash,40,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False deepseek_v4_1_flash,40,angle_estimation,5,20,6,6,0.3,0.3,0.0,exceeds 180,False,False deepseek_v4_1_flash,40,clock_reading,1,20,14,4,0.2,0.7,0.625,10,False,False deepseek_v4_1_flash,40,clock_reading,2,20,14,10,0.5,0.7,0.4,after,False,False deepseek_v4_1_flash,40,clock_reading,3,20,3,1,0.05,0.15,0.10526315789473684,02:15,False,False deepseek_v4_1_flash,40,clock_reading,4,20,1,1,0.05,0.05,0.0,123,False,False deepseek_v4_1_flash,40,clock_reading,5,20,4,1,0.05,0.2,0.15789473684210525,104,False,False deepseek_v4_1_flash,40,combination,1,20,5,7,0.35,0.25,-0.15384615384615385,10,False,False deepseek_v4_1_flash,40,combination,2,20,0,13,0.65,0.0,-1.8571428571428572,C,False,False deepseek_v4_1_flash,40,combination,3,20,13,8,0.4,0.65,0.4166666666666667,yes,False,False deepseek_v4_1_flash,40,combination,4,20,1,7,0.35,0.05,-0.46153846153846156,B,False,False deepseek_v4_1_flash,40,combination,5,20,17,14,0.7,0.85,0.5,connected,False,False deepseek_v4_1_flash,40,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False deepseek_v4_1_flash,40,combination3d,2,20,2,7,0.35,0.1,-0.38461538461538464,B,False,False deepseek_v4_1_flash,40,combination3d,3,20,10,10,0.5,0.5,0.0,yes,False,False deepseek_v4_1_flash,40,combination3d,4,20,0,5,0.25,0.0,-0.3333333333333333,D,False,False deepseek_v4_1_flash,40,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False deepseek_v4_1_flash,40,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False deepseek_v4_1_flash,40,compass_bearing,2,20,18,9,0.45,0.9,0.8181818181818182,north,False,False deepseek_v4_1_flash,40,compass_bearing,3,20,8,2,0.1,0.4,0.3333333333333333,020,False,False deepseek_v4_1_flash,40,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False deepseek_v4_1_flash,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False deepseek_v4_1_flash,40,coordinate_geometry,1,20,3,2,0.1,0.15,0.05555555555555555,"(-6, -2)",False,False deepseek_v4_1_flash,40,coordinate_geometry,2,20,0,3,0.15,0.0,-0.17647058823529413,4.47,False,False deepseek_v4_1_flash,40,coordinate_geometry,3,20,10,5,0.25,0.5,0.3333333333333333,A and B,False,False deepseek_v4_1_flash,40,coordinate_geometry,4,20,12,6,0.3,0.6,0.42857142857142855,less than,False,False deepseek_v4_1_flash,40,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False deepseek_v4_1_flash,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False deepseek_v4_1_flash,40,cube_net,2,20,14,9,0.45,0.7,0.45454545454545453,E,False,False deepseek_v4_1_flash,40,cube_net,3,20,5,4,0.2,0.25,0.0625,2,False,False deepseek_v4_1_flash,40,cube_net,4,20,13,11,0.55,0.65,0.2222222222222222,adjacent,False,False deepseek_v4_1_flash,40,cube_net,5,20,7,18,0.9,0.35,-5.5,no,False,False deepseek_v4_1_flash,40,cube_structure,1,20,0,6,0.3,0.0,-0.42857142857142855,12,False,False deepseek_v4_1_flash,40,cube_structure,2,20,4,4,0.2,0.2,0.0,10,False,False deepseek_v4_1_flash,40,cube_structure,3,20,7,10,0.5,0.35,-0.3,1,False,False deepseek_v4_1_flash,40,cube_structure,4,20,2,8,0.4,0.1,-0.5,2,False,False deepseek_v4_1_flash,40,cube_structure,5,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False deepseek_v4_1_flash,40,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False deepseek_v4_1_flash,40,depth_height,2,20,5,6,0.3,0.25,-0.07142857142857142,magenta,False,False deepseek_v4_1_flash,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False deepseek_v4_1_flash,40,depth_height,4,20,5,2,0.1,0.25,0.16666666666666666,0.77,False,False deepseek_v4_1_flash,40,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False deepseek_v4_1_flash,40,embedded_figures,1,20,2,6,0.3,0.1,-0.2857142857142857,13,False,False deepseek_v4_1_flash,40,embedded_figures,2,20,7,10,0.5,0.35,-0.3,6,False,False deepseek_v4_1_flash,40,embedded_figures,3,20,10,10,0.5,0.5,0.0,D,False,False deepseek_v4_1_flash,40,embedded_figures,4,20,6,7,0.35,0.3,-0.07692307692307693,6,False,False deepseek_v4_1_flash,40,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False deepseek_v4_1_flash,40,fbd,1,20,18,8,0.4,0.9,0.8333333333333334,4,False,False deepseek_v4_1_flash,40,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False deepseek_v4_1_flash,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False deepseek_v4_1_flash,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False deepseek_v4_1_flash,40,fbd,5,20,1,9,0.45,0.05,-0.7272727272727273,"downward (270 degrees; 0=right, 90=up)",False,False deepseek_v4_1_flash,40,fold_punch,1,20,19,12,0.6,0.95,0.875,3,False,False deepseek_v4_1_flash,40,fold_punch,2,20,8,12,0.6,0.4,-0.5,8,False,False deepseek_v4_1_flash,40,fold_punch,3,20,2,7,0.35,0.1,-0.38461538461538464,B,False,False deepseek_v4_1_flash,40,fold_punch,4,20,9,7,0.35,0.45,0.15384615384615385,exactly half,False,False deepseek_v4_1_flash,40,fold_punch,5,20,8,10,0.5,0.4,-0.2,16,False,False deepseek_v4_1_flash,40,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False deepseek_v4_1_flash,40,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False deepseek_v4_1_flash,40,gauge_reading,3,20,11,2,0.1,0.55,0.5,100,False,False deepseek_v4_1_flash,40,gauge_reading,4,20,1,14,0.7,0.05,-2.1666666666666665,no danger zone marked,False,False deepseek_v4_1_flash,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False deepseek_v4_1_flash,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False deepseek_v4_1_flash,40,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False deepseek_v4_1_flash,40,gear_train,3,20,18,6,0.3,0.9,0.8571428571428571,C,False,False deepseek_v4_1_flash,40,gear_train,4,20,7,1,0.05,0.35,0.3157894736842105,101.8,False,False deepseek_v4_1_flash,40,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False deepseek_v4_1_flash,40,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False deepseek_v4_1_flash,40,hex_pathfinding,2,20,12,11,0.55,0.6,0.1111111111111111,walkable,False,False deepseek_v4_1_flash,40,hex_pathfinding,3,20,1,6,0.3,0.05,-0.35714285714285715,5,False,False deepseek_v4_1_flash,40,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False deepseek_v4_1_flash,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False deepseek_v4_1_flash,40,impossible_object,1,20,7,11,0.55,0.35,-0.4444444444444444,5,False,False deepseek_v4_1_flash,40,impossible_object,2,20,3,16,0.8,0.15,-3.25,yes,False,False deepseek_v4_1_flash,40,impossible_object,3,20,5,7,0.35,0.25,-0.15384615384615385,C,False,False deepseek_v4_1_flash,40,impossible_object,4,20,1,8,0.4,0.05,-0.5833333333333334,6,False,False deepseek_v4_1_flash,40,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False deepseek_v4_1_flash,40,laser_mirror,1,20,18,9,0.45,0.9,0.8181818181818182,3,False,False deepseek_v4_1_flash,40,laser_mirror,2,20,13,14,0.7,0.65,-0.16666666666666666,yes,False,False deepseek_v4_1_flash,40,laser_mirror,3,20,2,8,0.4,0.1,-0.5,1,False,False deepseek_v4_1_flash,40,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False deepseek_v4_1_flash,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False deepseek_v4_1_flash,40,line_intersection,1,20,12,7,0.35,0.6,0.38461538461538464,2,False,False deepseek_v4_1_flash,40,line_intersection,2,20,12,7,0.35,0.6,0.38461538461538464,0,False,False deepseek_v4_1_flash,40,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False deepseek_v4_1_flash,40,line_intersection,4,20,12,4,0.2,0.6,0.5,"0,0",False,False deepseek_v4_1_flash,40,line_intersection,5,20,14,10,0.5,0.7,0.4,0,False,False deepseek_v4_1_flash,40,nested_hexagons,1,20,6,5,0.25,0.3,0.06666666666666667,4,False,False deepseek_v4_1_flash,40,nested_hexagons,2,20,11,13,0.65,0.55,-0.2857142857142857,constant,False,False deepseek_v4_1_flash,40,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False deepseek_v4_1_flash,40,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False deepseek_v4_1_flash,40,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False deepseek_v4_1_flash,40,nested_squares,1,20,6,4,0.2,0.3,0.125,5,False,False deepseek_v4_1_flash,40,nested_squares,2,20,8,11,0.55,0.4,-0.3333333333333333,changing,False,False deepseek_v4_1_flash,40,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False deepseek_v4_1_flash,40,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False deepseek_v4_1_flash,40,nested_squares,5,20,12,12,0.6,0.6,0.0,yes,False,False deepseek_v4_1_flash,40,nested_triangles,1,20,6,6,0.3,0.3,0.0,4,False,False deepseek_v4_1_flash,40,nested_triangles,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False deepseek_v4_1_flash,40,nested_triangles,3,20,1,2,0.1,0.05,-0.05555555555555555,4.1,False,False deepseek_v4_1_flash,40,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False deepseek_v4_1_flash,40,nested_triangles,5,20,7,12,0.6,0.35,-0.625,yes,False,False deepseek_v4_1_flash,40,occluded_pattern,1,20,13,4,0.2,0.65,0.5625,8,False,False deepseek_v4_1_flash,40,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False deepseek_v4_1_flash,40,occluded_pattern,3,20,11,9,0.45,0.55,0.18181818181818182,circle,False,False deepseek_v4_1_flash,40,occluded_pattern,4,20,3,6,0.3,0.15,-0.21428571428571427,2,False,False deepseek_v4_1_flash,40,occluded_pattern,5,20,4,5,0.25,0.2,-0.06666666666666667,11,False,False deepseek_v4_1_flash,40,optical_illusion,1,20,19,20,1.0,0.95,,2,True,False deepseek_v4_1_flash,40,optical_illusion,2,20,13,12,0.6,0.65,0.125,B,False,False deepseek_v4_1_flash,40,optical_illusion,3,20,8,9,0.45,0.4,-0.09090909090909091,equal,False,False deepseek_v4_1_flash,40,optical_illusion,4,20,6,9,0.45,0.3,-0.2727272727272727,0,False,False deepseek_v4_1_flash,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False deepseek_v4_1_flash,40,orthographic,1,20,9,6,0.3,0.45,0.21428571428571427,6,False,False deepseek_v4_1_flash,40,orthographic,2,20,0,5,0.25,0.0,-0.3333333333333333,9,False,False deepseek_v4_1_flash,40,orthographic,3,20,4,5,0.25,0.2,-0.06666666666666667,front,False,False deepseek_v4_1_flash,40,orthographic,4,20,3,8,0.4,0.15,-0.4166666666666667,not unique,False,False deepseek_v4_1_flash,40,orthographic,5,20,2,20,1.0,0.1,,front and side,True,False deepseek_v4_1_flash,40,overlap_circles,1,20,5,5,0.25,0.25,0.0,10,False,False deepseek_v4_1_flash,40,overlap_circles,2,20,10,11,0.55,0.5,-0.1111111111111111,no,False,False deepseek_v4_1_flash,40,overlap_circles,3,20,3,3,0.15,0.15,0.0,1.8,False,False deepseek_v4_1_flash,40,overlap_circles,4,20,5,6,0.3,0.25,-0.07142857142857142,0,False,False deepseek_v4_1_flash,40,overlap_circles,5,20,2,4,0.2,0.1,-0.125,17,False,False deepseek_v4_1_flash,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False deepseek_v4_1_flash,40,physical_stability,2,20,13,11,0.55,0.65,0.2222222222222222,right,False,False deepseek_v4_1_flash,40,physical_stability,3,20,16,10,0.5,0.8,0.6,D,False,False deepseek_v4_1_flash,40,physical_stability,4,20,1,8,0.4,0.05,-0.5833333333333334,stable,False,False deepseek_v4_1_flash,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False deepseek_v4_1_flash,40,polyhedron,1,20,3,8,0.4,0.15,-0.4166666666666667,14,False,False deepseek_v4_1_flash,40,polyhedron,2,20,8,19,0.95,0.4,-11.0,convex,False,False deepseek_v4_1_flash,40,polyhedron,3,20,2,7,0.35,0.1,-0.38461538461538464,mixed,False,False deepseek_v4_1_flash,40,polyhedron,4,20,12,6,0.3,0.6,0.42857142857142855,no,False,False deepseek_v4_1_flash,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False deepseek_v4_1_flash,40,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False deepseek_v4_1_flash,40,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False deepseek_v4_1_flash,40,projectile_motion,3,20,13,1,0.05,0.65,0.631578947368421,13.4,False,False deepseek_v4_1_flash,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False deepseek_v4_1_flash,40,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False deepseek_v4_1_flash,40,rotation_matching,1,20,10,8,0.4,0.5,0.16666666666666666,7,False,False deepseek_v4_1_flash,40,rotation_matching,2,20,7,6,0.3,0.35,0.07142857142857142,B,False,False deepseek_v4_1_flash,40,rotation_matching,3,20,3,4,0.2,0.15,-0.0625,315,False,False deepseek_v4_1_flash,40,rotation_matching,4,20,4,7,0.35,0.2,-0.23076923076923078,A,False,False deepseek_v4_1_flash,40,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False deepseek_v4_1_flash,40,route,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False deepseek_v4_1_flash,40,route,2,20,1,11,0.55,0.05,-1.1111111111111112,1,False,False deepseek_v4_1_flash,40,route,3,20,3,5,0.25,0.15,-0.13333333333333333,4,False,False deepseek_v4_1_flash,40,route,4,20,1,1,0.05,0.05,0.0,AC,False,False deepseek_v4_1_flash,40,route,5,20,3,6,0.3,0.15,-0.21428571428571427,4,False,False deepseek_v4_1_flash,40,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False deepseek_v4_1_flash,40,rpm,2,20,14,4,0.2,0.7,0.625,1,False,False deepseek_v4_1_flash,40,rpm,3,20,8,5,0.25,0.4,0.2,correct shape but wrong color,False,False deepseek_v4_1_flash,40,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False deepseek_v4_1_flash,40,rpm,5,20,7,11,0.55,0.35,-0.4444444444444444,9,False,False deepseek_v4_1_flash,40,shadow_inference,1,20,13,10,0.5,0.65,0.3,2,False,False deepseek_v4_1_flash,40,shadow_inference,2,20,10,7,0.35,0.5,0.23076923076923078,right,False,False deepseek_v4_1_flash,40,shadow_inference,3,20,13,7,0.35,0.65,0.46153846153846156,low,False,False deepseek_v4_1_flash,40,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False deepseek_v4_1_flash,40,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False deepseek_v4_1_flash,40,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False deepseek_v4_1_flash,40,surface_topology,2,20,18,18,0.9,0.9,0.0,orientable,False,False deepseek_v4_1_flash,40,surface_topology,3,20,7,7,0.35,0.35,0.0,0,False,False deepseek_v4_1_flash,40,surface_topology,4,20,10,8,0.4,0.5,0.16666666666666666,-4; orientable,False,False deepseek_v4_1_flash,40,surface_topology,5,20,9,8,0.4,0.45,0.08333333333333333,-5,False,False deepseek_v4_1_flash,40,symmetry_pattern,1,20,17,11,0.55,0.85,0.6666666666666666,8,False,False deepseek_v4_1_flash,40,symmetry_pattern,2,20,11,11,0.55,0.55,0.0,broken,False,False deepseek_v4_1_flash,40,symmetry_pattern,3,20,8,6,0.3,0.4,0.14285714285714285,mirror,False,False deepseek_v4_1_flash,40,symmetry_pattern,4,20,6,7,0.35,0.3,-0.07692307692307693,8,False,False deepseek_v4_1_flash,40,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False gemini_3_8_flash,0,angle_estimation,1,20,20,7,0.35,1.0,1.0,2,False,False gemini_3_8_flash,0,angle_estimation,2,20,18,4,0.2,0.9,0.875,Angle 2,False,False gemini_3_8_flash,0,angle_estimation,3,20,17,6,0.3,0.85,0.7857142857142857,greater than,False,False gemini_3_8_flash,0,angle_estimation,4,20,10,4,0.2,0.5,0.375,180,False,False gemini_3_8_flash,0,angle_estimation,5,20,6,6,0.3,0.3,0.0,exceeds 180,False,False gemini_3_8_flash,0,clock_reading,1,20,19,4,0.2,0.95,0.9375,10,False,False gemini_3_8_flash,0,clock_reading,2,20,20,10,0.5,1.0,1.0,after,False,False gemini_3_8_flash,0,clock_reading,3,20,16,1,0.05,0.8,0.7894736842105263,02:15,False,False gemini_3_8_flash,0,clock_reading,4,20,13,1,0.05,0.65,0.631578947368421,123,False,False gemini_3_8_flash,0,clock_reading,5,20,13,1,0.05,0.65,0.631578947368421,104,False,False gemini_3_8_flash,0,combination,1,20,19,7,0.35,0.95,0.9230769230769231,10,False,False gemini_3_8_flash,0,combination,2,20,12,13,0.65,0.6,-0.14285714285714285,C,False,False gemini_3_8_flash,0,combination,3,20,18,8,0.4,0.9,0.8333333333333334,yes,False,False gemini_3_8_flash,0,combination,4,20,16,7,0.35,0.8,0.6923076923076923,B,False,False gemini_3_8_flash,0,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False gemini_3_8_flash,0,combination3d,1,20,2,7,0.35,0.1,-0.38461538461538464,14,False,False gemini_3_8_flash,0,combination3d,2,20,11,7,0.35,0.55,0.3076923076923077,B,False,False gemini_3_8_flash,0,combination3d,3,20,14,10,0.5,0.7,0.4,yes,False,False gemini_3_8_flash,0,combination3d,4,20,7,5,0.25,0.35,0.13333333333333333,D,False,False gemini_3_8_flash,0,combination3d,5,20,9,10,0.5,0.45,-0.1,"same shape, different angle",False,False gemini_3_8_flash,0,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gemini_3_8_flash,0,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False gemini_3_8_flash,0,compass_bearing,3,20,17,2,0.1,0.85,0.8333333333333334,020,False,False gemini_3_8_flash,0,compass_bearing,4,20,2,1,0.05,0.1,0.05263157894736842,12 degrees counterclockwise,False,False gemini_3_8_flash,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gemini_3_8_flash,0,coordinate_geometry,1,20,20,2,0.1,1.0,1.0,"(-6, -2)",False,False gemini_3_8_flash,0,coordinate_geometry,2,20,20,3,0.15,1.0,1.0,4.47,False,False gemini_3_8_flash,0,coordinate_geometry,3,20,18,5,0.25,0.9,0.8666666666666667,A and B,False,False gemini_3_8_flash,0,coordinate_geometry,4,20,20,6,0.3,1.0,1.0,less than,False,False gemini_3_8_flash,0,coordinate_geometry,5,20,19,3,0.15,0.95,0.9411764705882353,3.16,False,False gemini_3_8_flash,0,cube_net,1,20,20,20,1.0,1.0,,6,True,False gemini_3_8_flash,0,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False gemini_3_8_flash,0,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False gemini_3_8_flash,0,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False gemini_3_8_flash,0,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False gemini_3_8_flash,0,cube_structure,1,20,2,6,0.3,0.1,-0.2857142857142857,12,False,False gemini_3_8_flash,0,cube_structure,2,20,4,4,0.2,0.2,0.0,10,False,False gemini_3_8_flash,0,cube_structure,3,20,11,10,0.5,0.55,0.1,1,False,False gemini_3_8_flash,0,cube_structure,4,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False gemini_3_8_flash,0,cube_structure,5,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False gemini_3_8_flash,0,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gemini_3_8_flash,0,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False gemini_3_8_flash,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gemini_3_8_flash,0,depth_height,4,20,8,2,0.1,0.4,0.3333333333333333,0.77,False,False gemini_3_8_flash,0,depth_height,5,20,19,11,0.55,0.95,0.8888888888888888,smaller,False,False gemini_3_8_flash,0,embedded_figures,1,20,2,6,0.3,0.1,-0.2857142857142857,13,False,False gemini_3_8_flash,0,embedded_figures,2,20,18,10,0.5,0.9,0.8,6,False,False gemini_3_8_flash,0,embedded_figures,3,20,15,10,0.5,0.75,0.5,D,False,False gemini_3_8_flash,0,embedded_figures,4,20,10,7,0.35,0.5,0.23076923076923078,6,False,False gemini_3_8_flash,0,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gemini_3_8_flash,0,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False gemini_3_8_flash,0,fbd,2,20,13,5,0.25,0.65,0.5333333333333333,N,False,False gemini_3_8_flash,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gemini_3_8_flash,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gemini_3_8_flash,0,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False gemini_3_8_flash,0,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gemini_3_8_flash,0,fold_punch,2,20,14,12,0.6,0.7,0.25,8,False,False gemini_3_8_flash,0,fold_punch,3,20,9,7,0.35,0.45,0.15384615384615385,B,False,False gemini_3_8_flash,0,fold_punch,4,20,13,7,0.35,0.65,0.46153846153846156,exactly half,False,False gemini_3_8_flash,0,fold_punch,5,20,19,10,0.5,0.95,0.9,16,False,False gemini_3_8_flash,0,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gemini_3_8_flash,0,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False gemini_3_8_flash,0,gauge_reading,3,20,18,2,0.1,0.9,0.8888888888888888,100,False,False gemini_3_8_flash,0,gauge_reading,4,20,5,14,0.7,0.25,-1.5,no danger zone marked,False,False gemini_3_8_flash,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gemini_3_8_flash,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gemini_3_8_flash,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gemini_3_8_flash,0,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False gemini_3_8_flash,0,gear_train,4,20,18,1,0.05,0.9,0.8947368421052632,101.8,False,False gemini_3_8_flash,0,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False gemini_3_8_flash,0,hex_pathfinding,1,20,13,3,0.15,0.65,0.5882352941176471,5,False,False gemini_3_8_flash,0,hex_pathfinding,2,20,19,11,0.55,0.95,0.8888888888888888,walkable,False,False gemini_3_8_flash,0,hex_pathfinding,3,20,7,6,0.3,0.35,0.07142857142857142,5,False,False gemini_3_8_flash,0,hex_pathfinding,4,20,1,5,0.25,0.05,-0.26666666666666666,multiple (4),False,False gemini_3_8_flash,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gemini_3_8_flash,0,impossible_object,1,20,19,11,0.55,0.95,0.8888888888888888,5,False,False gemini_3_8_flash,0,impossible_object,2,20,9,16,0.8,0.45,-1.75,yes,False,False gemini_3_8_flash,0,impossible_object,3,20,11,7,0.35,0.55,0.3076923076923077,C,False,False gemini_3_8_flash,0,impossible_object,4,20,13,8,0.4,0.65,0.4166666666666667,6,False,False gemini_3_8_flash,0,impossible_object,5,20,8,16,0.8,0.4,-2.0,already constructible,False,False gemini_3_8_flash,0,laser_mirror,1,20,19,9,0.45,0.95,0.9090909090909091,3,False,False gemini_3_8_flash,0,laser_mirror,2,20,19,14,0.7,0.95,0.8333333333333334,yes,False,False gemini_3_8_flash,0,laser_mirror,3,20,16,8,0.4,0.8,0.6666666666666666,1,False,False gemini_3_8_flash,0,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False gemini_3_8_flash,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gemini_3_8_flash,0,line_intersection,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False gemini_3_8_flash,0,line_intersection,2,20,18,7,0.35,0.9,0.8461538461538461,0,False,False gemini_3_8_flash,0,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False gemini_3_8_flash,0,line_intersection,4,20,19,4,0.2,0.95,0.9375,"0,0",False,False gemini_3_8_flash,0,line_intersection,5,20,18,10,0.5,0.9,0.8,0,False,False gemini_3_8_flash,0,nested_hexagons,1,20,13,5,0.25,0.65,0.5333333333333333,4,False,False gemini_3_8_flash,0,nested_hexagons,2,20,18,13,0.65,0.9,0.7142857142857143,constant,False,False gemini_3_8_flash,0,nested_hexagons,3,20,4,2,0.1,0.2,0.1111111111111111,4.0,False,False gemini_3_8_flash,0,nested_hexagons,4,20,2,5,0.25,0.1,-0.2,0,False,False gemini_3_8_flash,0,nested_hexagons,5,20,20,10,0.5,1.0,1.0,no,False,False gemini_3_8_flash,0,nested_squares,1,20,16,4,0.2,0.8,0.75,5,False,False gemini_3_8_flash,0,nested_squares,2,20,14,11,0.55,0.7,0.3333333333333333,changing,False,False gemini_3_8_flash,0,nested_squares,3,20,2,2,0.1,0.1,0.0,5.3,False,False gemini_3_8_flash,0,nested_squares,4,20,3,3,0.15,0.15,0.0,0,False,False gemini_3_8_flash,0,nested_squares,5,20,18,12,0.6,0.9,0.75,yes,False,False gemini_3_8_flash,0,nested_triangles,1,20,13,6,0.3,0.65,0.5,4,False,False gemini_3_8_flash,0,nested_triangles,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False gemini_3_8_flash,0,nested_triangles,3,20,4,2,0.1,0.2,0.1111111111111111,4.1,False,False gemini_3_8_flash,0,nested_triangles,4,20,2,2,0.1,0.1,0.0,75,False,False gemini_3_8_flash,0,nested_triangles,5,20,19,12,0.6,0.95,0.875,yes,False,False gemini_3_8_flash,0,occluded_pattern,1,20,20,4,0.2,1.0,1.0,8,False,False gemini_3_8_flash,0,occluded_pattern,2,20,16,5,0.25,0.8,0.7333333333333333,10,False,False gemini_3_8_flash,0,occluded_pattern,3,20,16,9,0.45,0.8,0.6363636363636364,circle,False,False gemini_3_8_flash,0,occluded_pattern,4,20,13,6,0.3,0.65,0.5,2,False,False gemini_3_8_flash,0,occluded_pattern,5,20,11,5,0.25,0.55,0.4,11,False,False gemini_3_8_flash,0,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gemini_3_8_flash,0,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False gemini_3_8_flash,0,optical_illusion,3,20,18,9,0.45,0.9,0.8181818181818182,equal,False,False gemini_3_8_flash,0,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False gemini_3_8_flash,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gemini_3_8_flash,0,orthographic,1,20,20,6,0.3,1.0,1.0,6,False,False gemini_3_8_flash,0,orthographic,2,20,14,5,0.25,0.7,0.6,9,False,False gemini_3_8_flash,0,orthographic,3,20,12,5,0.25,0.6,0.4666666666666667,front,False,False gemini_3_8_flash,0,orthographic,4,20,16,8,0.4,0.8,0.6666666666666666,not unique,False,False gemini_3_8_flash,0,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gemini_3_8_flash,0,overlap_circles,1,20,8,5,0.25,0.4,0.2,10,False,False gemini_3_8_flash,0,overlap_circles,2,20,14,11,0.55,0.7,0.3333333333333333,no,False,False gemini_3_8_flash,0,overlap_circles,3,20,9,3,0.15,0.45,0.35294117647058826,1.8,False,False gemini_3_8_flash,0,overlap_circles,4,20,11,6,0.3,0.55,0.35714285714285715,0,False,False gemini_3_8_flash,0,overlap_circles,5,20,9,4,0.2,0.45,0.3125,17,False,False gemini_3_8_flash,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gemini_3_8_flash,0,physical_stability,2,20,19,11,0.55,0.95,0.8888888888888888,right,False,False gemini_3_8_flash,0,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False gemini_3_8_flash,0,physical_stability,4,20,7,8,0.4,0.35,-0.08333333333333333,stable,False,False gemini_3_8_flash,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gemini_3_8_flash,0,polyhedron,1,20,9,8,0.4,0.45,0.08333333333333333,14,False,False gemini_3_8_flash,0,polyhedron,2,20,16,19,0.95,0.8,-3.0,convex,False,False gemini_3_8_flash,0,polyhedron,3,20,6,7,0.35,0.3,-0.07692307692307693,mixed,False,False gemini_3_8_flash,0,polyhedron,4,20,19,6,0.3,0.95,0.9285714285714286,no,False,False gemini_3_8_flash,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gemini_3_8_flash,0,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False gemini_3_8_flash,0,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False gemini_3_8_flash,0,projectile_motion,3,20,19,1,0.05,0.95,0.9473684210526315,13.4,False,False gemini_3_8_flash,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gemini_3_8_flash,0,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False gemini_3_8_flash,0,rotation_matching,1,20,20,8,0.4,1.0,1.0,7,False,False gemini_3_8_flash,0,rotation_matching,2,20,4,6,0.3,0.2,-0.14285714285714285,B,False,False gemini_3_8_flash,0,rotation_matching,3,20,3,4,0.2,0.15,-0.0625,315,False,False gemini_3_8_flash,0,rotation_matching,4,20,4,7,0.35,0.2,-0.23076923076923078,A,False,False gemini_3_8_flash,0,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gemini_3_8_flash,0,route,1,20,16,6,0.3,0.8,0.7142857142857143,6,False,False gemini_3_8_flash,0,route,2,20,8,11,0.55,0.4,-0.3333333333333333,1,False,False gemini_3_8_flash,0,route,3,20,13,5,0.25,0.65,0.5333333333333333,4,False,False gemini_3_8_flash,0,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gemini_3_8_flash,0,route,5,20,13,6,0.3,0.65,0.5,4,False,False gemini_3_8_flash,0,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gemini_3_8_flash,0,rpm,2,20,18,4,0.2,0.9,0.875,1,False,False gemini_3_8_flash,0,rpm,3,20,14,5,0.25,0.7,0.6,correct shape but wrong color,False,False gemini_3_8_flash,0,rpm,4,20,11,5,0.25,0.55,0.4,8,False,False gemini_3_8_flash,0,rpm,5,20,18,11,0.55,0.9,0.7777777777777778,9,False,False gemini_3_8_flash,0,shadow_inference,1,20,19,10,0.5,0.95,0.9,2,False,False gemini_3_8_flash,0,shadow_inference,2,20,18,7,0.35,0.9,0.8461538461538461,right,False,False gemini_3_8_flash,0,shadow_inference,3,20,16,7,0.35,0.8,0.6923076923076923,low,False,False gemini_3_8_flash,0,shadow_inference,4,20,4,8,0.4,0.2,-0.3333333333333333,same,False,False gemini_3_8_flash,0,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False gemini_3_8_flash,0,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False gemini_3_8_flash,0,surface_topology,2,20,12,18,0.9,0.6,-3.0,orientable,False,False gemini_3_8_flash,0,surface_topology,3,20,11,7,0.35,0.55,0.3076923076923077,0,False,False gemini_3_8_flash,0,surface_topology,4,20,19,8,0.4,0.95,0.9166666666666666,-4; orientable,False,False gemini_3_8_flash,0,surface_topology,5,20,19,8,0.4,0.95,0.9166666666666666,-5,False,False gemini_3_8_flash,0,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False gemini_3_8_flash,0,symmetry_pattern,2,20,17,11,0.55,0.85,0.6666666666666666,broken,False,False gemini_3_8_flash,0,symmetry_pattern,3,20,16,6,0.3,0.8,0.7142857142857143,mirror,False,False gemini_3_8_flash,0,symmetry_pattern,4,20,9,7,0.35,0.45,0.15384615384615385,8,False,False gemini_3_8_flash,0,symmetry_pattern,5,20,12,20,1.0,0.6,,yes,True,False gemini_3_8_flash,15,angle_estimation,1,20,20,7,0.35,1.0,1.0,2,False,False gemini_3_8_flash,15,angle_estimation,2,20,18,4,0.2,0.9,0.875,Angle 2,False,False gemini_3_8_flash,15,angle_estimation,3,20,18,6,0.3,0.9,0.8571428571428571,greater than,False,False gemini_3_8_flash,15,angle_estimation,4,20,6,4,0.2,0.3,0.125,180,False,False gemini_3_8_flash,15,angle_estimation,5,20,7,6,0.3,0.35,0.07142857142857142,exceeds 180,False,False gemini_3_8_flash,15,clock_reading,1,20,20,4,0.2,1.0,1.0,10,False,False gemini_3_8_flash,15,clock_reading,2,20,20,10,0.5,1.0,1.0,after,False,False gemini_3_8_flash,15,clock_reading,3,20,17,1,0.05,0.85,0.8421052631578947,02:15,False,False gemini_3_8_flash,15,clock_reading,4,20,10,1,0.05,0.5,0.47368421052631576,123,False,False gemini_3_8_flash,15,clock_reading,5,20,12,1,0.05,0.6,0.5789473684210527,104,False,False gemini_3_8_flash,15,combination,1,20,19,7,0.35,0.95,0.9230769230769231,10,False,False gemini_3_8_flash,15,combination,2,20,14,13,0.65,0.7,0.14285714285714285,C,False,False gemini_3_8_flash,15,combination,3,20,20,8,0.4,1.0,1.0,yes,False,False gemini_3_8_flash,15,combination,4,20,16,7,0.35,0.8,0.6923076923076923,B,False,False gemini_3_8_flash,15,combination,5,20,20,14,0.7,1.0,1.0,connected,False,False gemini_3_8_flash,15,combination3d,1,20,2,7,0.35,0.1,-0.38461538461538464,14,False,False gemini_3_8_flash,15,combination3d,2,20,9,7,0.35,0.45,0.15384615384615385,B,False,False gemini_3_8_flash,15,combination3d,3,20,16,10,0.5,0.8,0.6,yes,False,False gemini_3_8_flash,15,combination3d,4,20,5,5,0.25,0.25,0.0,D,False,False gemini_3_8_flash,15,combination3d,5,20,11,10,0.5,0.55,0.1,"same shape, different angle",False,False gemini_3_8_flash,15,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gemini_3_8_flash,15,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False gemini_3_8_flash,15,compass_bearing,3,20,20,2,0.1,1.0,1.0,020,False,False gemini_3_8_flash,15,compass_bearing,4,20,3,1,0.05,0.15,0.10526315789473684,12 degrees counterclockwise,False,False gemini_3_8_flash,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gemini_3_8_flash,15,coordinate_geometry,1,20,20,2,0.1,1.0,1.0,"(-6, -2)",False,False gemini_3_8_flash,15,coordinate_geometry,2,20,20,3,0.15,1.0,1.0,4.47,False,False gemini_3_8_flash,15,coordinate_geometry,3,20,18,5,0.25,0.9,0.8666666666666667,A and B,False,False gemini_3_8_flash,15,coordinate_geometry,4,20,20,6,0.3,1.0,1.0,less than,False,False gemini_3_8_flash,15,coordinate_geometry,5,20,20,3,0.15,1.0,1.0,3.16,False,False gemini_3_8_flash,15,cube_net,1,20,20,20,1.0,1.0,,6,True,False gemini_3_8_flash,15,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False gemini_3_8_flash,15,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False gemini_3_8_flash,15,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False gemini_3_8_flash,15,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False gemini_3_8_flash,15,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False gemini_3_8_flash,15,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False gemini_3_8_flash,15,cube_structure,3,20,12,10,0.5,0.6,0.2,1,False,False gemini_3_8_flash,15,cube_structure,4,20,8,8,0.4,0.4,0.0,2,False,False gemini_3_8_flash,15,cube_structure,5,20,7,8,0.4,0.35,-0.08333333333333333,2,False,False gemini_3_8_flash,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gemini_3_8_flash,15,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False gemini_3_8_flash,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gemini_3_8_flash,15,depth_height,4,20,8,2,0.1,0.4,0.3333333333333333,0.77,False,False gemini_3_8_flash,15,depth_height,5,20,19,11,0.55,0.95,0.8888888888888888,smaller,False,False gemini_3_8_flash,15,embedded_figures,1,20,2,6,0.3,0.1,-0.2857142857142857,13,False,False gemini_3_8_flash,15,embedded_figures,2,20,19,10,0.5,0.95,0.9,6,False,False gemini_3_8_flash,15,embedded_figures,3,20,14,10,0.5,0.7,0.4,D,False,False gemini_3_8_flash,15,embedded_figures,4,20,10,7,0.35,0.5,0.23076923076923078,6,False,False gemini_3_8_flash,15,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gemini_3_8_flash,15,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False gemini_3_8_flash,15,fbd,2,20,13,5,0.25,0.65,0.5333333333333333,N,False,False gemini_3_8_flash,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gemini_3_8_flash,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gemini_3_8_flash,15,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False gemini_3_8_flash,15,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gemini_3_8_flash,15,fold_punch,2,20,18,12,0.6,0.9,0.75,8,False,False gemini_3_8_flash,15,fold_punch,3,20,12,7,0.35,0.6,0.38461538461538464,B,False,False gemini_3_8_flash,15,fold_punch,4,20,16,7,0.35,0.8,0.6923076923076923,exactly half,False,False gemini_3_8_flash,15,fold_punch,5,20,20,10,0.5,1.0,1.0,16,False,False gemini_3_8_flash,15,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gemini_3_8_flash,15,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False gemini_3_8_flash,15,gauge_reading,3,20,19,2,0.1,0.95,0.9444444444444444,100,False,False gemini_3_8_flash,15,gauge_reading,4,20,5,14,0.7,0.25,-1.5,no danger zone marked,False,False gemini_3_8_flash,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gemini_3_8_flash,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gemini_3_8_flash,15,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gemini_3_8_flash,15,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False gemini_3_8_flash,15,gear_train,4,20,18,1,0.05,0.9,0.8947368421052632,101.8,False,False gemini_3_8_flash,15,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False gemini_3_8_flash,15,hex_pathfinding,1,20,13,3,0.15,0.65,0.5882352941176471,5,False,False gemini_3_8_flash,15,hex_pathfinding,2,20,19,11,0.55,0.95,0.8888888888888888,walkable,False,False gemini_3_8_flash,15,hex_pathfinding,3,20,6,6,0.3,0.3,0.0,5,False,False gemini_3_8_flash,15,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gemini_3_8_flash,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gemini_3_8_flash,15,impossible_object,1,20,17,11,0.55,0.85,0.6666666666666666,5,False,False gemini_3_8_flash,15,impossible_object,2,20,9,16,0.8,0.45,-1.75,yes,False,False gemini_3_8_flash,15,impossible_object,3,20,15,7,0.35,0.75,0.6153846153846154,C,False,False gemini_3_8_flash,15,impossible_object,4,20,16,8,0.4,0.8,0.6666666666666666,6,False,False gemini_3_8_flash,15,impossible_object,5,20,6,16,0.8,0.3,-2.5,already constructible,False,False gemini_3_8_flash,15,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False gemini_3_8_flash,15,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False gemini_3_8_flash,15,laser_mirror,3,20,20,8,0.4,1.0,1.0,1,False,False gemini_3_8_flash,15,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False gemini_3_8_flash,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gemini_3_8_flash,15,line_intersection,1,20,19,7,0.35,0.95,0.9230769230769231,2,False,False gemini_3_8_flash,15,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False gemini_3_8_flash,15,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False gemini_3_8_flash,15,line_intersection,4,20,19,4,0.2,0.95,0.9375,"0,0",False,False gemini_3_8_flash,15,line_intersection,5,20,17,10,0.5,0.85,0.7,0,False,False gemini_3_8_flash,15,nested_hexagons,1,20,14,5,0.25,0.7,0.6,4,False,False gemini_3_8_flash,15,nested_hexagons,2,20,16,13,0.65,0.8,0.42857142857142855,constant,False,False gemini_3_8_flash,15,nested_hexagons,3,20,6,2,0.1,0.3,0.2222222222222222,4.0,False,False gemini_3_8_flash,15,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False gemini_3_8_flash,15,nested_hexagons,5,20,18,10,0.5,0.9,0.8,no,False,False gemini_3_8_flash,15,nested_squares,1,20,15,4,0.2,0.75,0.6875,5,False,False gemini_3_8_flash,15,nested_squares,2,20,15,11,0.55,0.75,0.4444444444444444,changing,False,False gemini_3_8_flash,15,nested_squares,3,20,8,2,0.1,0.4,0.3333333333333333,5.3,False,False gemini_3_8_flash,15,nested_squares,4,20,3,3,0.15,0.15,0.0,0,False,False gemini_3_8_flash,15,nested_squares,5,20,20,12,0.6,1.0,1.0,yes,False,False gemini_3_8_flash,15,nested_triangles,1,20,15,6,0.3,0.75,0.6428571428571429,4,False,False gemini_3_8_flash,15,nested_triangles,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False gemini_3_8_flash,15,nested_triangles,3,20,3,2,0.1,0.15,0.05555555555555555,4.1,False,False gemini_3_8_flash,15,nested_triangles,4,20,2,2,0.1,0.1,0.0,75,False,False gemini_3_8_flash,15,nested_triangles,5,20,19,12,0.6,0.95,0.875,yes,False,False gemini_3_8_flash,15,occluded_pattern,1,20,20,4,0.2,1.0,1.0,8,False,False gemini_3_8_flash,15,occluded_pattern,2,20,16,5,0.25,0.8,0.7333333333333333,10,False,False gemini_3_8_flash,15,occluded_pattern,3,20,15,9,0.45,0.75,0.5454545454545454,circle,False,False gemini_3_8_flash,15,occluded_pattern,4,20,16,6,0.3,0.8,0.7142857142857143,2,False,False gemini_3_8_flash,15,occluded_pattern,5,20,12,5,0.25,0.6,0.4666666666666667,11,False,False gemini_3_8_flash,15,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gemini_3_8_flash,15,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False gemini_3_8_flash,15,optical_illusion,3,20,16,9,0.45,0.8,0.6363636363636364,equal,False,False gemini_3_8_flash,15,optical_illusion,4,20,10,9,0.45,0.5,0.09090909090909091,0,False,False gemini_3_8_flash,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gemini_3_8_flash,15,orthographic,1,20,20,6,0.3,1.0,1.0,6,False,False gemini_3_8_flash,15,orthographic,2,20,11,5,0.25,0.55,0.4,9,False,False gemini_3_8_flash,15,orthographic,3,20,13,5,0.25,0.65,0.5333333333333333,front,False,False gemini_3_8_flash,15,orthographic,4,20,15,8,0.4,0.75,0.5833333333333334,not unique,False,False gemini_3_8_flash,15,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gemini_3_8_flash,15,overlap_circles,1,20,11,5,0.25,0.55,0.4,10,False,False gemini_3_8_flash,15,overlap_circles,2,20,12,11,0.55,0.6,0.1111111111111111,no,False,False gemini_3_8_flash,15,overlap_circles,3,20,7,3,0.15,0.35,0.23529411764705882,1.8,False,False gemini_3_8_flash,15,overlap_circles,4,20,13,6,0.3,0.65,0.5,0,False,False gemini_3_8_flash,15,overlap_circles,5,20,7,4,0.2,0.35,0.1875,17,False,False gemini_3_8_flash,15,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gemini_3_8_flash,15,physical_stability,2,20,20,11,0.55,1.0,1.0,right,False,False gemini_3_8_flash,15,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False gemini_3_8_flash,15,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False gemini_3_8_flash,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gemini_3_8_flash,15,polyhedron,1,20,11,8,0.4,0.55,0.25,14,False,False gemini_3_8_flash,15,polyhedron,2,20,17,19,0.95,0.85,-2.0,convex,False,False gemini_3_8_flash,15,polyhedron,3,20,7,7,0.35,0.35,0.0,mixed,False,False gemini_3_8_flash,15,polyhedron,4,20,17,6,0.3,0.85,0.7857142857142857,no,False,False gemini_3_8_flash,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gemini_3_8_flash,15,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False gemini_3_8_flash,15,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False gemini_3_8_flash,15,projectile_motion,3,20,19,1,0.05,0.95,0.9473684210526315,13.4,False,False gemini_3_8_flash,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gemini_3_8_flash,15,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False gemini_3_8_flash,15,rotation_matching,1,20,20,8,0.4,1.0,1.0,7,False,False gemini_3_8_flash,15,rotation_matching,2,20,8,6,0.3,0.4,0.14285714285714285,B,False,False gemini_3_8_flash,15,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False gemini_3_8_flash,15,rotation_matching,4,20,4,7,0.35,0.2,-0.23076923076923078,A,False,False gemini_3_8_flash,15,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gemini_3_8_flash,15,route,1,20,18,6,0.3,0.9,0.8571428571428571,6,False,False gemini_3_8_flash,15,route,2,20,8,11,0.55,0.4,-0.3333333333333333,1,False,False gemini_3_8_flash,15,route,3,20,14,5,0.25,0.7,0.6,4,False,False gemini_3_8_flash,15,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gemini_3_8_flash,15,route,5,20,13,6,0.3,0.65,0.5,4,False,False gemini_3_8_flash,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gemini_3_8_flash,15,rpm,2,20,19,4,0.2,0.95,0.9375,1,False,False gemini_3_8_flash,15,rpm,3,20,14,5,0.25,0.7,0.6,correct shape but wrong color,False,False gemini_3_8_flash,15,rpm,4,20,10,5,0.25,0.5,0.3333333333333333,8,False,False gemini_3_8_flash,15,rpm,5,20,19,11,0.55,0.95,0.8888888888888888,9,False,False gemini_3_8_flash,15,shadow_inference,1,20,17,10,0.5,0.85,0.7,2,False,False gemini_3_8_flash,15,shadow_inference,2,20,14,7,0.35,0.7,0.5384615384615384,right,False,False gemini_3_8_flash,15,shadow_inference,3,20,17,7,0.35,0.85,0.7692307692307693,low,False,False gemini_3_8_flash,15,shadow_inference,4,20,4,8,0.4,0.2,-0.3333333333333333,same,False,False gemini_3_8_flash,15,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False gemini_3_8_flash,15,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False gemini_3_8_flash,15,surface_topology,2,20,14,18,0.9,0.7,-2.0,orientable,False,False gemini_3_8_flash,15,surface_topology,3,20,11,7,0.35,0.55,0.3076923076923077,0,False,False gemini_3_8_flash,15,surface_topology,4,20,18,8,0.4,0.9,0.8333333333333334,-4; orientable,False,False gemini_3_8_flash,15,surface_topology,5,20,18,8,0.4,0.9,0.8333333333333334,-5,False,False gemini_3_8_flash,15,symmetry_pattern,1,20,19,11,0.55,0.95,0.8888888888888888,8,False,False gemini_3_8_flash,15,symmetry_pattern,2,20,17,11,0.55,0.85,0.6666666666666666,broken,False,False gemini_3_8_flash,15,symmetry_pattern,3,20,18,6,0.3,0.9,0.8571428571428571,mirror,False,False gemini_3_8_flash,15,symmetry_pattern,4,20,7,7,0.35,0.35,0.0,8,False,False gemini_3_8_flash,15,symmetry_pattern,5,20,16,20,1.0,0.8,,yes,True,False gemini_3_8_flash,25,angle_estimation,1,20,20,7,0.35,1.0,1.0,2,False,False gemini_3_8_flash,25,angle_estimation,2,20,18,4,0.2,0.9,0.875,Angle 2,False,False gemini_3_8_flash,25,angle_estimation,3,20,20,6,0.3,1.0,1.0,greater than,False,False gemini_3_8_flash,25,angle_estimation,4,20,9,4,0.2,0.45,0.3125,180,False,False gemini_3_8_flash,25,angle_estimation,5,20,7,6,0.3,0.35,0.07142857142857142,exceeds 180,False,False gemini_3_8_flash,25,clock_reading,1,20,20,4,0.2,1.0,1.0,10,False,False gemini_3_8_flash,25,clock_reading,2,20,20,10,0.5,1.0,1.0,after,False,False gemini_3_8_flash,25,clock_reading,3,20,17,1,0.05,0.85,0.8421052631578947,02:15,False,False gemini_3_8_flash,25,clock_reading,4,20,8,1,0.05,0.4,0.3684210526315789,123,False,False gemini_3_8_flash,25,clock_reading,5,20,13,1,0.05,0.65,0.631578947368421,104,False,False gemini_3_8_flash,25,combination,1,20,19,7,0.35,0.95,0.9230769230769231,10,False,False gemini_3_8_flash,25,combination,2,20,18,13,0.65,0.9,0.7142857142857143,C,False,False gemini_3_8_flash,25,combination,3,20,19,8,0.4,0.95,0.9166666666666666,yes,False,False gemini_3_8_flash,25,combination,4,20,15,7,0.35,0.75,0.6153846153846154,B,False,False gemini_3_8_flash,25,combination,5,20,20,14,0.7,1.0,1.0,connected,False,False gemini_3_8_flash,25,combination3d,1,20,3,7,0.35,0.15,-0.3076923076923077,14,False,False gemini_3_8_flash,25,combination3d,2,20,13,7,0.35,0.65,0.46153846153846156,B,False,False gemini_3_8_flash,25,combination3d,3,20,14,10,0.5,0.7,0.4,yes,False,False gemini_3_8_flash,25,combination3d,4,20,6,5,0.25,0.3,0.06666666666666667,D,False,False gemini_3_8_flash,25,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False gemini_3_8_flash,25,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gemini_3_8_flash,25,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False gemini_3_8_flash,25,compass_bearing,3,20,20,2,0.1,1.0,1.0,020,False,False gemini_3_8_flash,25,compass_bearing,4,20,7,1,0.05,0.35,0.3157894736842105,12 degrees counterclockwise,False,False gemini_3_8_flash,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gemini_3_8_flash,25,coordinate_geometry,1,20,20,2,0.1,1.0,1.0,"(-6, -2)",False,False gemini_3_8_flash,25,coordinate_geometry,2,20,19,3,0.15,0.95,0.9411764705882353,4.47,False,False gemini_3_8_flash,25,coordinate_geometry,3,20,17,5,0.25,0.85,0.8,A and B,False,False gemini_3_8_flash,25,coordinate_geometry,4,20,20,6,0.3,1.0,1.0,less than,False,False gemini_3_8_flash,25,coordinate_geometry,5,20,19,3,0.15,0.95,0.9411764705882353,3.16,False,False gemini_3_8_flash,25,cube_net,1,20,20,20,1.0,1.0,,6,True,False gemini_3_8_flash,25,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False gemini_3_8_flash,25,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False gemini_3_8_flash,25,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False gemini_3_8_flash,25,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False gemini_3_8_flash,25,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False gemini_3_8_flash,25,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False gemini_3_8_flash,25,cube_structure,3,20,12,10,0.5,0.6,0.2,1,False,False gemini_3_8_flash,25,cube_structure,4,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False gemini_3_8_flash,25,cube_structure,5,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False gemini_3_8_flash,25,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gemini_3_8_flash,25,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False gemini_3_8_flash,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gemini_3_8_flash,25,depth_height,4,20,8,2,0.1,0.4,0.3333333333333333,0.77,False,False gemini_3_8_flash,25,depth_height,5,20,18,11,0.55,0.9,0.7777777777777778,smaller,False,False gemini_3_8_flash,25,embedded_figures,1,20,4,6,0.3,0.2,-0.14285714285714285,13,False,False gemini_3_8_flash,25,embedded_figures,2,20,18,10,0.5,0.9,0.8,6,False,False gemini_3_8_flash,25,embedded_figures,3,20,13,10,0.5,0.65,0.3,D,False,False gemini_3_8_flash,25,embedded_figures,4,20,11,7,0.35,0.55,0.3076923076923077,6,False,False gemini_3_8_flash,25,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gemini_3_8_flash,25,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False gemini_3_8_flash,25,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False gemini_3_8_flash,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gemini_3_8_flash,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gemini_3_8_flash,25,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False gemini_3_8_flash,25,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gemini_3_8_flash,25,fold_punch,2,20,18,12,0.6,0.9,0.75,8,False,False gemini_3_8_flash,25,fold_punch,3,20,10,7,0.35,0.5,0.23076923076923078,B,False,False gemini_3_8_flash,25,fold_punch,4,20,17,7,0.35,0.85,0.7692307692307693,exactly half,False,False gemini_3_8_flash,25,fold_punch,5,20,20,10,0.5,1.0,1.0,16,False,False gemini_3_8_flash,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gemini_3_8_flash,25,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False gemini_3_8_flash,25,gauge_reading,3,20,18,2,0.1,0.9,0.8888888888888888,100,False,False gemini_3_8_flash,25,gauge_reading,4,20,6,14,0.7,0.3,-1.3333333333333333,no danger zone marked,False,False gemini_3_8_flash,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gemini_3_8_flash,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gemini_3_8_flash,25,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gemini_3_8_flash,25,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False gemini_3_8_flash,25,gear_train,4,20,18,1,0.05,0.9,0.8947368421052632,101.8,False,False gemini_3_8_flash,25,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False gemini_3_8_flash,25,hex_pathfinding,1,20,12,3,0.15,0.6,0.5294117647058824,5,False,False gemini_3_8_flash,25,hex_pathfinding,2,20,19,11,0.55,0.95,0.8888888888888888,walkable,False,False gemini_3_8_flash,25,hex_pathfinding,3,20,9,6,0.3,0.45,0.21428571428571427,5,False,False gemini_3_8_flash,25,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gemini_3_8_flash,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gemini_3_8_flash,25,impossible_object,1,20,20,11,0.55,1.0,1.0,5,False,False gemini_3_8_flash,25,impossible_object,2,20,12,16,0.8,0.6,-1.0,yes,False,False gemini_3_8_flash,25,impossible_object,3,20,8,7,0.35,0.4,0.07692307692307693,C,False,False gemini_3_8_flash,25,impossible_object,4,20,13,8,0.4,0.65,0.4166666666666667,6,False,False gemini_3_8_flash,25,impossible_object,5,20,7,16,0.8,0.35,-2.25,already constructible,False,False gemini_3_8_flash,25,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False gemini_3_8_flash,25,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False gemini_3_8_flash,25,laser_mirror,3,20,17,8,0.4,0.85,0.75,1,False,False gemini_3_8_flash,25,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False gemini_3_8_flash,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gemini_3_8_flash,25,line_intersection,1,20,19,7,0.35,0.95,0.9230769230769231,2,False,False gemini_3_8_flash,25,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False gemini_3_8_flash,25,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False gemini_3_8_flash,25,line_intersection,4,20,18,4,0.2,0.9,0.875,"0,0",False,False gemini_3_8_flash,25,line_intersection,5,20,17,10,0.5,0.85,0.7,0,False,False gemini_3_8_flash,25,nested_hexagons,1,20,14,5,0.25,0.7,0.6,4,False,False gemini_3_8_flash,25,nested_hexagons,2,20,18,13,0.65,0.9,0.7142857142857143,constant,False,False gemini_3_8_flash,25,nested_hexagons,3,20,3,2,0.1,0.15,0.05555555555555555,4.0,False,False gemini_3_8_flash,25,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False gemini_3_8_flash,25,nested_hexagons,5,20,19,10,0.5,0.95,0.9,no,False,False gemini_3_8_flash,25,nested_squares,1,20,16,4,0.2,0.8,0.75,5,False,False gemini_3_8_flash,25,nested_squares,2,20,14,11,0.55,0.7,0.3333333333333333,changing,False,False gemini_3_8_flash,25,nested_squares,3,20,5,2,0.1,0.25,0.16666666666666666,5.3,False,False gemini_3_8_flash,25,nested_squares,4,20,2,3,0.15,0.1,-0.058823529411764705,0,False,False gemini_3_8_flash,25,nested_squares,5,20,19,12,0.6,0.95,0.875,yes,False,False gemini_3_8_flash,25,nested_triangles,1,20,13,6,0.3,0.65,0.5,4,False,False gemini_3_8_flash,25,nested_triangles,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False gemini_3_8_flash,25,nested_triangles,3,20,4,2,0.1,0.2,0.1111111111111111,4.1,False,False gemini_3_8_flash,25,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False gemini_3_8_flash,25,nested_triangles,5,20,19,12,0.6,0.95,0.875,yes,False,False gemini_3_8_flash,25,occluded_pattern,1,20,19,4,0.2,0.95,0.9375,8,False,False gemini_3_8_flash,25,occluded_pattern,2,20,18,5,0.25,0.9,0.8666666666666667,10,False,False gemini_3_8_flash,25,occluded_pattern,3,20,15,9,0.45,0.75,0.5454545454545454,circle,False,False gemini_3_8_flash,25,occluded_pattern,4,20,13,6,0.3,0.65,0.5,2,False,False gemini_3_8_flash,25,occluded_pattern,5,20,12,5,0.25,0.6,0.4666666666666667,11,False,False gemini_3_8_flash,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gemini_3_8_flash,25,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False gemini_3_8_flash,25,optical_illusion,3,20,16,9,0.45,0.8,0.6363636363636364,equal,False,False gemini_3_8_flash,25,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False gemini_3_8_flash,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gemini_3_8_flash,25,orthographic,1,20,20,6,0.3,1.0,1.0,6,False,False gemini_3_8_flash,25,orthographic,2,20,16,5,0.25,0.8,0.7333333333333333,9,False,False gemini_3_8_flash,25,orthographic,3,20,10,5,0.25,0.5,0.3333333333333333,front,False,False gemini_3_8_flash,25,orthographic,4,20,17,8,0.4,0.85,0.75,not unique,False,False gemini_3_8_flash,25,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gemini_3_8_flash,25,overlap_circles,1,20,10,5,0.25,0.5,0.3333333333333333,10,False,False gemini_3_8_flash,25,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False gemini_3_8_flash,25,overlap_circles,3,20,8,3,0.15,0.4,0.29411764705882354,1.8,False,False gemini_3_8_flash,25,overlap_circles,4,20,14,6,0.3,0.7,0.5714285714285714,0,False,False gemini_3_8_flash,25,overlap_circles,5,20,5,4,0.2,0.25,0.0625,17,False,False gemini_3_8_flash,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gemini_3_8_flash,25,physical_stability,2,20,19,11,0.55,0.95,0.8888888888888888,right,False,False gemini_3_8_flash,25,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False gemini_3_8_flash,25,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False gemini_3_8_flash,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gemini_3_8_flash,25,polyhedron,1,20,7,8,0.4,0.35,-0.08333333333333333,14,False,False gemini_3_8_flash,25,polyhedron,2,20,15,19,0.95,0.75,-4.0,convex,False,False gemini_3_8_flash,25,polyhedron,3,20,7,7,0.35,0.35,0.0,mixed,False,False gemini_3_8_flash,25,polyhedron,4,20,18,6,0.3,0.9,0.8571428571428571,no,False,False gemini_3_8_flash,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gemini_3_8_flash,25,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False gemini_3_8_flash,25,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False gemini_3_8_flash,25,projectile_motion,3,20,19,1,0.05,0.95,0.9473684210526315,13.4,False,False gemini_3_8_flash,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gemini_3_8_flash,25,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False gemini_3_8_flash,25,rotation_matching,1,20,20,8,0.4,1.0,1.0,7,False,False gemini_3_8_flash,25,rotation_matching,2,20,4,6,0.3,0.2,-0.14285714285714285,B,False,False gemini_3_8_flash,25,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False gemini_3_8_flash,25,rotation_matching,4,20,6,7,0.35,0.3,-0.07692307692307693,A,False,False gemini_3_8_flash,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gemini_3_8_flash,25,route,1,20,18,6,0.3,0.9,0.8571428571428571,6,False,False gemini_3_8_flash,25,route,2,20,5,11,0.55,0.25,-0.6666666666666666,1,False,False gemini_3_8_flash,25,route,3,20,13,5,0.25,0.65,0.5333333333333333,4,False,False gemini_3_8_flash,25,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gemini_3_8_flash,25,route,5,20,15,6,0.3,0.75,0.6428571428571429,4,False,False gemini_3_8_flash,25,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gemini_3_8_flash,25,rpm,2,20,18,4,0.2,0.9,0.875,1,False,False gemini_3_8_flash,25,rpm,3,20,12,5,0.25,0.6,0.4666666666666667,correct shape but wrong color,False,False gemini_3_8_flash,25,rpm,4,20,10,5,0.25,0.5,0.3333333333333333,8,False,False gemini_3_8_flash,25,rpm,5,20,18,11,0.55,0.9,0.7777777777777778,9,False,False gemini_3_8_flash,25,shadow_inference,1,20,13,10,0.5,0.65,0.3,2,False,False gemini_3_8_flash,25,shadow_inference,2,20,15,7,0.35,0.75,0.6153846153846154,right,False,False gemini_3_8_flash,25,shadow_inference,3,20,12,7,0.35,0.6,0.38461538461538464,low,False,False gemini_3_8_flash,25,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False gemini_3_8_flash,25,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False gemini_3_8_flash,25,surface_topology,1,20,16,8,0.4,0.8,0.6666666666666666,3,False,False gemini_3_8_flash,25,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False gemini_3_8_flash,25,surface_topology,3,20,12,7,0.35,0.6,0.38461538461538464,0,False,False gemini_3_8_flash,25,surface_topology,4,20,17,8,0.4,0.85,0.75,-4; orientable,False,False gemini_3_8_flash,25,surface_topology,5,20,20,8,0.4,1.0,1.0,-5,False,False gemini_3_8_flash,25,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False gemini_3_8_flash,25,symmetry_pattern,2,20,17,11,0.55,0.85,0.6666666666666666,broken,False,False gemini_3_8_flash,25,symmetry_pattern,3,20,16,6,0.3,0.8,0.7142857142857143,mirror,False,False gemini_3_8_flash,25,symmetry_pattern,4,20,8,7,0.35,0.4,0.07692307692307693,8,False,False gemini_3_8_flash,25,symmetry_pattern,5,20,14,20,1.0,0.7,,yes,True,False gemini_3_8_flash,40,angle_estimation,1,20,20,7,0.35,1.0,1.0,2,False,False gemini_3_8_flash,40,angle_estimation,2,20,18,4,0.2,0.9,0.875,Angle 2,False,False gemini_3_8_flash,40,angle_estimation,3,20,20,6,0.3,1.0,1.0,greater than,False,False gemini_3_8_flash,40,angle_estimation,4,20,7,4,0.2,0.35,0.1875,180,False,False gemini_3_8_flash,40,angle_estimation,5,20,7,6,0.3,0.35,0.07142857142857142,exceeds 180,False,False gemini_3_8_flash,40,clock_reading,1,20,20,4,0.2,1.0,1.0,10,False,False gemini_3_8_flash,40,clock_reading,2,20,20,10,0.5,1.0,1.0,after,False,False gemini_3_8_flash,40,clock_reading,3,20,16,1,0.05,0.8,0.7894736842105263,02:15,False,False gemini_3_8_flash,40,clock_reading,4,20,8,1,0.05,0.4,0.3684210526315789,123,False,False gemini_3_8_flash,40,clock_reading,5,20,13,1,0.05,0.65,0.631578947368421,104,False,False gemini_3_8_flash,40,combination,1,20,20,7,0.35,1.0,1.0,10,False,False gemini_3_8_flash,40,combination,2,20,14,13,0.65,0.7,0.14285714285714285,C,False,False gemini_3_8_flash,40,combination,3,20,18,8,0.4,0.9,0.8333333333333334,yes,False,False gemini_3_8_flash,40,combination,4,20,16,7,0.35,0.8,0.6923076923076923,B,False,False gemini_3_8_flash,40,combination,5,20,20,14,0.7,1.0,1.0,connected,False,False gemini_3_8_flash,40,combination3d,1,20,2,7,0.35,0.1,-0.38461538461538464,14,False,False gemini_3_8_flash,40,combination3d,2,20,15,7,0.35,0.75,0.6153846153846154,B,False,False gemini_3_8_flash,40,combination3d,3,20,14,10,0.5,0.7,0.4,yes,False,False gemini_3_8_flash,40,combination3d,4,20,6,5,0.25,0.3,0.06666666666666667,D,False,False gemini_3_8_flash,40,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False gemini_3_8_flash,40,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gemini_3_8_flash,40,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False gemini_3_8_flash,40,compass_bearing,3,20,19,2,0.1,0.95,0.9444444444444444,020,False,False gemini_3_8_flash,40,compass_bearing,4,20,1,1,0.05,0.05,0.0,12 degrees counterclockwise,False,False gemini_3_8_flash,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gemini_3_8_flash,40,coordinate_geometry,1,20,18,2,0.1,0.9,0.8888888888888888,"(-6, -2)",False,False gemini_3_8_flash,40,coordinate_geometry,2,20,16,3,0.15,0.8,0.7647058823529411,4.47,False,False gemini_3_8_flash,40,coordinate_geometry,3,20,20,5,0.25,1.0,1.0,A and B,False,False gemini_3_8_flash,40,coordinate_geometry,4,20,20,6,0.3,1.0,1.0,less than,False,False gemini_3_8_flash,40,coordinate_geometry,5,20,17,3,0.15,0.85,0.8235294117647058,3.16,False,False gemini_3_8_flash,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False gemini_3_8_flash,40,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False gemini_3_8_flash,40,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False gemini_3_8_flash,40,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False gemini_3_8_flash,40,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False gemini_3_8_flash,40,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False gemini_3_8_flash,40,cube_structure,2,20,5,4,0.2,0.25,0.0625,10,False,False gemini_3_8_flash,40,cube_structure,3,20,13,10,0.5,0.65,0.3,1,False,False gemini_3_8_flash,40,cube_structure,4,20,9,8,0.4,0.45,0.08333333333333333,2,False,False gemini_3_8_flash,40,cube_structure,5,20,8,8,0.4,0.4,0.0,2,False,False gemini_3_8_flash,40,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gemini_3_8_flash,40,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False gemini_3_8_flash,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gemini_3_8_flash,40,depth_height,4,20,8,2,0.1,0.4,0.3333333333333333,0.77,False,False gemini_3_8_flash,40,depth_height,5,20,19,11,0.55,0.95,0.8888888888888888,smaller,False,False gemini_3_8_flash,40,embedded_figures,1,20,2,6,0.3,0.1,-0.2857142857142857,13,False,False gemini_3_8_flash,40,embedded_figures,2,20,19,10,0.5,0.95,0.9,6,False,False gemini_3_8_flash,40,embedded_figures,3,20,11,10,0.5,0.55,0.1,D,False,False gemini_3_8_flash,40,embedded_figures,4,20,7,7,0.35,0.35,0.0,6,False,False gemini_3_8_flash,40,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gemini_3_8_flash,40,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False gemini_3_8_flash,40,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False gemini_3_8_flash,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gemini_3_8_flash,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gemini_3_8_flash,40,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False gemini_3_8_flash,40,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gemini_3_8_flash,40,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False gemini_3_8_flash,40,fold_punch,3,20,9,7,0.35,0.45,0.15384615384615385,B,False,False gemini_3_8_flash,40,fold_punch,4,20,19,7,0.35,0.95,0.9230769230769231,exactly half,False,False gemini_3_8_flash,40,fold_punch,5,20,20,10,0.5,1.0,1.0,16,False,False gemini_3_8_flash,40,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gemini_3_8_flash,40,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False gemini_3_8_flash,40,gauge_reading,3,20,18,2,0.1,0.9,0.8888888888888888,100,False,False gemini_3_8_flash,40,gauge_reading,4,20,5,14,0.7,0.25,-1.5,no danger zone marked,False,False gemini_3_8_flash,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gemini_3_8_flash,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gemini_3_8_flash,40,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gemini_3_8_flash,40,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False gemini_3_8_flash,40,gear_train,4,20,18,1,0.05,0.9,0.8947368421052632,101.8,False,False gemini_3_8_flash,40,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False gemini_3_8_flash,40,hex_pathfinding,1,20,13,3,0.15,0.65,0.5882352941176471,5,False,False gemini_3_8_flash,40,hex_pathfinding,2,20,19,11,0.55,0.95,0.8888888888888888,walkable,False,False gemini_3_8_flash,40,hex_pathfinding,3,20,5,6,0.3,0.25,-0.07142857142857142,5,False,False gemini_3_8_flash,40,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gemini_3_8_flash,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gemini_3_8_flash,40,impossible_object,1,20,20,11,0.55,1.0,1.0,5,False,False gemini_3_8_flash,40,impossible_object,2,20,8,16,0.8,0.4,-2.0,yes,False,False gemini_3_8_flash,40,impossible_object,3,20,7,7,0.35,0.35,0.0,C,False,False gemini_3_8_flash,40,impossible_object,4,20,10,8,0.4,0.5,0.16666666666666666,6,False,False gemini_3_8_flash,40,impossible_object,5,20,5,16,0.8,0.25,-2.75,already constructible,False,False gemini_3_8_flash,40,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False gemini_3_8_flash,40,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False gemini_3_8_flash,40,laser_mirror,3,20,17,8,0.4,0.85,0.75,1,False,False gemini_3_8_flash,40,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False gemini_3_8_flash,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gemini_3_8_flash,40,line_intersection,1,20,19,7,0.35,0.95,0.9230769230769231,2,False,False gemini_3_8_flash,40,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False gemini_3_8_flash,40,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False gemini_3_8_flash,40,line_intersection,4,20,19,4,0.2,0.95,0.9375,"0,0",False,False gemini_3_8_flash,40,line_intersection,5,20,19,10,0.5,0.95,0.9,0,False,False gemini_3_8_flash,40,nested_hexagons,1,20,14,5,0.25,0.7,0.6,4,False,False gemini_3_8_flash,40,nested_hexagons,2,20,16,13,0.65,0.8,0.42857142857142855,constant,False,False gemini_3_8_flash,40,nested_hexagons,3,20,8,2,0.1,0.4,0.3333333333333333,4.0,False,False gemini_3_8_flash,40,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False gemini_3_8_flash,40,nested_hexagons,5,20,18,10,0.5,0.9,0.8,no,False,False gemini_3_8_flash,40,nested_squares,1,20,15,4,0.2,0.75,0.6875,5,False,False gemini_3_8_flash,40,nested_squares,2,20,14,11,0.55,0.7,0.3333333333333333,changing,False,False gemini_3_8_flash,40,nested_squares,3,20,8,2,0.1,0.4,0.3333333333333333,5.3,False,False gemini_3_8_flash,40,nested_squares,4,20,5,3,0.15,0.25,0.11764705882352941,0,False,False gemini_3_8_flash,40,nested_squares,5,20,18,12,0.6,0.9,0.75,yes,False,False gemini_3_8_flash,40,nested_triangles,1,20,14,6,0.3,0.7,0.5714285714285714,4,False,False gemini_3_8_flash,40,nested_triangles,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False gemini_3_8_flash,40,nested_triangles,3,20,2,2,0.1,0.1,0.0,4.1,False,False gemini_3_8_flash,40,nested_triangles,4,20,2,2,0.1,0.1,0.0,75,False,False gemini_3_8_flash,40,nested_triangles,5,20,17,12,0.6,0.85,0.625,yes,False,False gemini_3_8_flash,40,occluded_pattern,1,20,20,4,0.2,1.0,1.0,8,False,False gemini_3_8_flash,40,occluded_pattern,2,20,14,5,0.25,0.7,0.6,10,False,False gemini_3_8_flash,40,occluded_pattern,3,20,16,9,0.45,0.8,0.6363636363636364,circle,False,False gemini_3_8_flash,40,occluded_pattern,4,20,12,6,0.3,0.6,0.42857142857142855,2,False,False gemini_3_8_flash,40,occluded_pattern,5,20,13,5,0.25,0.65,0.5333333333333333,11,False,False gemini_3_8_flash,40,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gemini_3_8_flash,40,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False gemini_3_8_flash,40,optical_illusion,3,20,18,9,0.45,0.9,0.8181818181818182,equal,False,False gemini_3_8_flash,40,optical_illusion,4,20,10,9,0.45,0.5,0.09090909090909091,0,False,False gemini_3_8_flash,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gemini_3_8_flash,40,orthographic,1,20,20,6,0.3,1.0,1.0,6,False,False gemini_3_8_flash,40,orthographic,2,20,14,5,0.25,0.7,0.6,9,False,False gemini_3_8_flash,40,orthographic,3,20,14,5,0.25,0.7,0.6,front,False,False gemini_3_8_flash,40,orthographic,4,20,16,8,0.4,0.8,0.6666666666666666,not unique,False,False gemini_3_8_flash,40,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gemini_3_8_flash,40,overlap_circles,1,20,7,5,0.25,0.35,0.13333333333333333,10,False,False gemini_3_8_flash,40,overlap_circles,2,20,16,11,0.55,0.8,0.5555555555555556,no,False,False gemini_3_8_flash,40,overlap_circles,3,20,8,3,0.15,0.4,0.29411764705882354,1.8,False,False gemini_3_8_flash,40,overlap_circles,4,20,12,6,0.3,0.6,0.42857142857142855,0,False,False gemini_3_8_flash,40,overlap_circles,5,20,6,4,0.2,0.3,0.125,17,False,False gemini_3_8_flash,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gemini_3_8_flash,40,physical_stability,2,20,19,11,0.55,0.95,0.8888888888888888,right,False,False gemini_3_8_flash,40,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False gemini_3_8_flash,40,physical_stability,4,20,8,8,0.4,0.4,0.0,stable,False,False gemini_3_8_flash,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gemini_3_8_flash,40,polyhedron,1,20,10,8,0.4,0.5,0.16666666666666666,14,False,False gemini_3_8_flash,40,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False gemini_3_8_flash,40,polyhedron,3,20,6,7,0.35,0.3,-0.07692307692307693,mixed,False,False gemini_3_8_flash,40,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False gemini_3_8_flash,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gemini_3_8_flash,40,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False gemini_3_8_flash,40,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False gemini_3_8_flash,40,projectile_motion,3,20,20,1,0.05,1.0,1.0,13.4,False,False gemini_3_8_flash,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gemini_3_8_flash,40,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False gemini_3_8_flash,40,rotation_matching,1,20,20,8,0.4,1.0,1.0,7,False,False gemini_3_8_flash,40,rotation_matching,2,20,10,6,0.3,0.5,0.2857142857142857,B,False,False gemini_3_8_flash,40,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False gemini_3_8_flash,40,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False gemini_3_8_flash,40,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gemini_3_8_flash,40,route,1,20,18,6,0.3,0.9,0.8571428571428571,6,False,False gemini_3_8_flash,40,route,2,20,8,11,0.55,0.4,-0.3333333333333333,1,False,False gemini_3_8_flash,40,route,3,20,14,5,0.25,0.7,0.6,4,False,False gemini_3_8_flash,40,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gemini_3_8_flash,40,route,5,20,12,6,0.3,0.6,0.42857142857142855,4,False,False gemini_3_8_flash,40,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gemini_3_8_flash,40,rpm,2,20,19,4,0.2,0.95,0.9375,1,False,False gemini_3_8_flash,40,rpm,3,20,13,5,0.25,0.65,0.5333333333333333,correct shape but wrong color,False,False gemini_3_8_flash,40,rpm,4,20,10,5,0.25,0.5,0.3333333333333333,8,False,False gemini_3_8_flash,40,rpm,5,20,17,11,0.55,0.85,0.6666666666666666,9,False,False gemini_3_8_flash,40,shadow_inference,1,20,3,10,0.5,0.15,-0.7,2,False,False gemini_3_8_flash,40,shadow_inference,2,20,9,7,0.35,0.45,0.15384615384615385,right,False,False gemini_3_8_flash,40,shadow_inference,3,20,14,7,0.35,0.7,0.5384615384615384,low,False,False gemini_3_8_flash,40,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False gemini_3_8_flash,40,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False gemini_3_8_flash,40,surface_topology,1,20,16,8,0.4,0.8,0.6666666666666666,3,False,False gemini_3_8_flash,40,surface_topology,2,20,18,18,0.9,0.9,0.0,orientable,False,False gemini_3_8_flash,40,surface_topology,3,20,11,7,0.35,0.55,0.3076923076923077,0,False,False gemini_3_8_flash,40,surface_topology,4,20,19,8,0.4,0.95,0.9166666666666666,-4; orientable,False,False gemini_3_8_flash,40,surface_topology,5,20,17,8,0.4,0.85,0.75,-5,False,False gemini_3_8_flash,40,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False gemini_3_8_flash,40,symmetry_pattern,2,20,15,11,0.55,0.75,0.4444444444444444,broken,False,False gemini_3_8_flash,40,symmetry_pattern,3,20,16,6,0.3,0.8,0.7142857142857143,mirror,False,False gemini_3_8_flash,40,symmetry_pattern,4,20,9,7,0.35,0.45,0.15384615384615385,8,False,False gemini_3_8_flash,40,symmetry_pattern,5,20,16,20,1.0,0.8,,yes,True,False gpt_5_6_luna,0,angle_estimation,1,20,19,7,0.35,0.95,0.9230769230769231,2,False,False gpt_5_6_luna,0,angle_estimation,2,20,12,4,0.2,0.6,0.5,Angle 2,False,False gpt_5_6_luna,0,angle_estimation,3,20,9,6,0.3,0.45,0.21428571428571427,greater than,False,False gpt_5_6_luna,0,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False gpt_5_6_luna,0,angle_estimation,5,20,3,6,0.3,0.15,-0.21428571428571427,exceeds 180,False,False gpt_5_6_luna,0,clock_reading,1,20,16,4,0.2,0.8,0.75,10,False,False gpt_5_6_luna,0,clock_reading,2,20,11,10,0.5,0.55,0.1,after,False,False gpt_5_6_luna,0,clock_reading,3,20,11,1,0.05,0.55,0.5263157894736842,02:15,False,False gpt_5_6_luna,0,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False gpt_5_6_luna,0,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False gpt_5_6_luna,0,combination,1,20,6,7,0.35,0.3,-0.07692307692307693,10,False,False gpt_5_6_luna,0,combination,2,20,10,13,0.65,0.5,-0.42857142857142855,C,False,False gpt_5_6_luna,0,combination,3,20,12,8,0.4,0.6,0.3333333333333333,yes,False,False gpt_5_6_luna,0,combination,4,20,3,7,0.35,0.15,-0.3076923076923077,B,False,False gpt_5_6_luna,0,combination,5,20,13,14,0.7,0.65,-0.16666666666666666,connected,False,False gpt_5_6_luna,0,combination3d,1,20,3,7,0.35,0.15,-0.3076923076923077,14,False,False gpt_5_6_luna,0,combination3d,2,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False gpt_5_6_luna,0,combination3d,3,20,10,10,0.5,0.5,0.0,yes,False,False gpt_5_6_luna,0,combination3d,4,20,5,5,0.25,0.25,0.0,D,False,False gpt_5_6_luna,0,combination3d,5,20,11,10,0.5,0.55,0.1,"same shape, different angle",False,False gpt_5_6_luna,0,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gpt_5_6_luna,0,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False gpt_5_6_luna,0,compass_bearing,3,20,4,2,0.1,0.2,0.1111111111111111,020,False,False gpt_5_6_luna,0,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False gpt_5_6_luna,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gpt_5_6_luna,0,coordinate_geometry,1,20,20,2,0.1,1.0,1.0,"(-6, -2)",False,False gpt_5_6_luna,0,coordinate_geometry,2,20,3,3,0.15,0.15,0.0,4.47,False,False gpt_5_6_luna,0,coordinate_geometry,3,20,13,5,0.25,0.65,0.5333333333333333,A and B,False,False gpt_5_6_luna,0,coordinate_geometry,4,20,12,6,0.3,0.6,0.42857142857142855,less than,False,False gpt_5_6_luna,0,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False gpt_5_6_luna,0,cube_net,1,20,20,20,1.0,1.0,,6,True,False gpt_5_6_luna,0,cube_net,2,20,19,9,0.45,0.95,0.9090909090909091,E,False,False gpt_5_6_luna,0,cube_net,3,20,10,4,0.2,0.5,0.375,2,False,False gpt_5_6_luna,0,cube_net,4,20,12,11,0.55,0.6,0.1111111111111111,adjacent,False,False gpt_5_6_luna,0,cube_net,5,20,17,18,0.9,0.85,-0.5,no,False,False gpt_5_6_luna,0,cube_structure,1,20,1,6,0.3,0.05,-0.35714285714285715,12,False,False gpt_5_6_luna,0,cube_structure,2,20,4,4,0.2,0.2,0.0,10,False,False gpt_5_6_luna,0,cube_structure,3,20,16,10,0.5,0.8,0.6,1,False,False gpt_5_6_luna,0,cube_structure,4,20,11,8,0.4,0.55,0.25,2,False,False gpt_5_6_luna,0,cube_structure,5,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False gpt_5_6_luna,0,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gpt_5_6_luna,0,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False gpt_5_6_luna,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gpt_5_6_luna,0,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False gpt_5_6_luna,0,depth_height,5,20,13,11,0.55,0.65,0.2222222222222222,smaller,False,False gpt_5_6_luna,0,embedded_figures,1,20,0,6,0.3,0.0,-0.42857142857142855,13,False,False gpt_5_6_luna,0,embedded_figures,2,20,6,10,0.5,0.3,-0.4,6,False,False gpt_5_6_luna,0,embedded_figures,3,20,6,10,0.5,0.3,-0.4,D,False,False gpt_5_6_luna,0,embedded_figures,4,20,2,7,0.35,0.1,-0.38461538461538464,6,False,False gpt_5_6_luna,0,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gpt_5_6_luna,0,fbd,1,20,17,8,0.4,0.85,0.75,4,False,False gpt_5_6_luna,0,fbd,2,20,6,5,0.25,0.3,0.06666666666666667,N,False,False gpt_5_6_luna,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gpt_5_6_luna,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gpt_5_6_luna,0,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False gpt_5_6_luna,0,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gpt_5_6_luna,0,fold_punch,2,20,11,12,0.6,0.55,-0.125,8,False,False gpt_5_6_luna,0,fold_punch,3,20,8,7,0.35,0.4,0.07692307692307693,B,False,False gpt_5_6_luna,0,fold_punch,4,20,9,7,0.35,0.45,0.15384615384615385,exactly half,False,False gpt_5_6_luna,0,fold_punch,5,20,12,10,0.5,0.6,0.2,16,False,False gpt_5_6_luna,0,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gpt_5_6_luna,0,gauge_reading,2,20,15,12,0.6,0.75,0.375,upper half,False,False gpt_5_6_luna,0,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False gpt_5_6_luna,0,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False gpt_5_6_luna,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gpt_5_6_luna,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gpt_5_6_luna,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gpt_5_6_luna,0,gear_train,3,20,17,6,0.3,0.85,0.7857142857142857,C,False,False gpt_5_6_luna,0,gear_train,4,20,10,1,0.05,0.5,0.47368421052631576,101.8,False,False gpt_5_6_luna,0,gear_train,5,20,3,8,0.4,0.15,-0.4166666666666667,decrease; direction unchanged,False,False gpt_5_6_luna,0,hex_pathfinding,1,20,2,3,0.15,0.1,-0.058823529411764705,5,False,False gpt_5_6_luna,0,hex_pathfinding,2,20,14,11,0.55,0.7,0.3333333333333333,walkable,False,False gpt_5_6_luna,0,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False gpt_5_6_luna,0,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gpt_5_6_luna,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gpt_5_6_luna,0,impossible_object,1,20,0,11,0.55,0.0,-1.2222222222222223,5,False,False gpt_5_6_luna,0,impossible_object,2,20,12,16,0.8,0.6,-1.0,yes,False,False gpt_5_6_luna,0,impossible_object,3,20,4,7,0.35,0.2,-0.23076923076923078,C,False,False gpt_5_6_luna,0,impossible_object,4,20,3,8,0.4,0.15,-0.4166666666666667,6,False,False gpt_5_6_luna,0,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False gpt_5_6_luna,0,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False gpt_5_6_luna,0,laser_mirror,2,20,14,14,0.7,0.7,0.0,yes,False,False gpt_5_6_luna,0,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False gpt_5_6_luna,0,laser_mirror,4,20,5,2,0.1,0.25,0.16666666666666666,"bottom, position 3",False,False gpt_5_6_luna,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gpt_5_6_luna,0,line_intersection,1,20,16,7,0.35,0.8,0.6923076923076923,2,False,False gpt_5_6_luna,0,line_intersection,2,20,15,7,0.35,0.75,0.6153846153846154,0,False,False gpt_5_6_luna,0,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False gpt_5_6_luna,0,line_intersection,4,20,15,4,0.2,0.75,0.6875,"0,0",False,False gpt_5_6_luna,0,line_intersection,5,20,13,10,0.5,0.65,0.3,0,False,False gpt_5_6_luna,0,nested_hexagons,1,20,11,5,0.25,0.55,0.4,4,False,False gpt_5_6_luna,0,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False gpt_5_6_luna,0,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False gpt_5_6_luna,0,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False gpt_5_6_luna,0,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False gpt_5_6_luna,0,nested_squares,1,20,7,4,0.2,0.35,0.1875,5,False,False gpt_5_6_luna,0,nested_squares,2,20,11,11,0.55,0.55,0.0,changing,False,False gpt_5_6_luna,0,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False gpt_5_6_luna,0,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False gpt_5_6_luna,0,nested_squares,5,20,8,12,0.6,0.4,-0.5,yes,False,False gpt_5_6_luna,0,nested_triangles,1,20,3,6,0.3,0.15,-0.21428571428571427,4,False,False gpt_5_6_luna,0,nested_triangles,2,20,7,13,0.65,0.35,-0.8571428571428571,constant,False,False gpt_5_6_luna,0,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False gpt_5_6_luna,0,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False gpt_5_6_luna,0,nested_triangles,5,20,8,12,0.6,0.4,-0.5,yes,False,False gpt_5_6_luna,0,occluded_pattern,1,20,16,4,0.2,0.8,0.75,8,False,False gpt_5_6_luna,0,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False gpt_5_6_luna,0,occluded_pattern,3,20,13,9,0.45,0.65,0.36363636363636365,circle,False,False gpt_5_6_luna,0,occluded_pattern,4,20,2,6,0.3,0.1,-0.2857142857142857,2,False,False gpt_5_6_luna,0,occluded_pattern,5,20,1,5,0.25,0.05,-0.26666666666666666,11,False,False gpt_5_6_luna,0,optical_illusion,1,20,19,20,1.0,0.95,,2,True,False gpt_5_6_luna,0,optical_illusion,2,20,11,12,0.6,0.55,-0.125,B,False,False gpt_5_6_luna,0,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False gpt_5_6_luna,0,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False gpt_5_6_luna,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gpt_5_6_luna,0,orthographic,1,20,6,6,0.3,0.3,0.0,6,False,False gpt_5_6_luna,0,orthographic,2,20,1,5,0.25,0.05,-0.26666666666666666,9,False,False gpt_5_6_luna,0,orthographic,3,20,11,5,0.25,0.55,0.4,front,False,False gpt_5_6_luna,0,orthographic,4,20,8,8,0.4,0.4,0.0,not unique,False,False gpt_5_6_luna,0,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gpt_5_6_luna,0,overlap_circles,1,20,1,5,0.25,0.05,-0.26666666666666666,10,False,False gpt_5_6_luna,0,overlap_circles,2,20,13,11,0.55,0.65,0.2222222222222222,no,False,False gpt_5_6_luna,0,overlap_circles,3,20,4,3,0.15,0.2,0.058823529411764705,1.8,False,False gpt_5_6_luna,0,overlap_circles,4,20,11,6,0.3,0.55,0.35714285714285715,0,False,False gpt_5_6_luna,0,overlap_circles,5,20,4,4,0.2,0.2,0.0,17,False,False gpt_5_6_luna,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gpt_5_6_luna,0,physical_stability,2,20,15,11,0.55,0.75,0.4444444444444444,right,False,False gpt_5_6_luna,0,physical_stability,3,20,14,10,0.5,0.7,0.4,D,False,False gpt_5_6_luna,0,physical_stability,4,20,4,8,0.4,0.2,-0.3333333333333333,stable,False,False gpt_5_6_luna,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gpt_5_6_luna,0,polyhedron,1,20,2,8,0.4,0.1,-0.5,14,False,False gpt_5_6_luna,0,polyhedron,2,20,10,19,0.95,0.5,-9.0,convex,False,False gpt_5_6_luna,0,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False gpt_5_6_luna,0,polyhedron,4,20,11,6,0.3,0.55,0.35714285714285715,no,False,False gpt_5_6_luna,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gpt_5_6_luna,0,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False gpt_5_6_luna,0,projectile_motion,2,20,14,11,0.55,0.7,0.3333333333333333,yes,False,False gpt_5_6_luna,0,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False gpt_5_6_luna,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gpt_5_6_luna,0,projectile_motion,5,20,15,15,0.75,0.75,0.0,increase,False,False gpt_5_6_luna,0,rotation_matching,1,20,12,8,0.4,0.6,0.3333333333333333,7,False,False gpt_5_6_luna,0,rotation_matching,2,20,2,6,0.3,0.1,-0.2857142857142857,B,False,False gpt_5_6_luna,0,rotation_matching,3,20,3,4,0.2,0.15,-0.0625,315,False,False gpt_5_6_luna,0,rotation_matching,4,20,6,7,0.35,0.3,-0.07692307692307693,A,False,False gpt_5_6_luna,0,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gpt_5_6_luna,0,route,1,20,13,6,0.3,0.65,0.5,6,False,False gpt_5_6_luna,0,route,2,20,2,11,0.55,0.1,-1.0,1,False,False gpt_5_6_luna,0,route,3,20,4,5,0.25,0.2,-0.06666666666666667,4,False,False gpt_5_6_luna,0,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gpt_5_6_luna,0,route,5,20,7,6,0.3,0.35,0.07142857142857142,4,False,False gpt_5_6_luna,0,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gpt_5_6_luna,0,rpm,2,20,13,4,0.2,0.65,0.5625,1,False,False gpt_5_6_luna,0,rpm,3,20,15,5,0.25,0.75,0.6666666666666666,correct shape but wrong color,False,False gpt_5_6_luna,0,rpm,4,20,7,5,0.25,0.35,0.13333333333333333,8,False,False gpt_5_6_luna,0,rpm,5,20,3,11,0.55,0.15,-0.8888888888888888,9,False,False gpt_5_6_luna,0,shadow_inference,1,20,19,10,0.5,0.95,0.9,2,False,False gpt_5_6_luna,0,shadow_inference,2,20,5,7,0.35,0.25,-0.15384615384615385,right,False,False gpt_5_6_luna,0,shadow_inference,3,20,12,7,0.35,0.6,0.38461538461538464,low,False,False gpt_5_6_luna,0,shadow_inference,4,20,0,8,0.4,0.0,-0.6666666666666666,same,False,False gpt_5_6_luna,0,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False gpt_5_6_luna,0,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False gpt_5_6_luna,0,surface_topology,2,20,15,18,0.9,0.75,-1.5,orientable,False,False gpt_5_6_luna,0,surface_topology,3,20,8,7,0.35,0.4,0.07692307692307693,0,False,False gpt_5_6_luna,0,surface_topology,4,20,10,8,0.4,0.5,0.16666666666666666,-4; orientable,False,False gpt_5_6_luna,0,surface_topology,5,20,4,8,0.4,0.2,-0.3333333333333333,-5,False,False gpt_5_6_luna,0,symmetry_pattern,1,20,13,11,0.55,0.65,0.2222222222222222,8,False,False gpt_5_6_luna,0,symmetry_pattern,2,20,15,11,0.55,0.75,0.4444444444444444,broken,False,False gpt_5_6_luna,0,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False gpt_5_6_luna,0,symmetry_pattern,4,20,5,7,0.35,0.25,-0.15384615384615385,8,False,False gpt_5_6_luna,0,symmetry_pattern,5,20,18,20,1.0,0.9,,yes,True,False gpt_5_6_luna,15,angle_estimation,1,20,19,7,0.35,0.95,0.9230769230769231,2,False,False gpt_5_6_luna,15,angle_estimation,2,20,10,4,0.2,0.5,0.375,Angle 2,False,False gpt_5_6_luna,15,angle_estimation,3,20,7,6,0.3,0.35,0.07142857142857142,greater than,False,False gpt_5_6_luna,15,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False gpt_5_6_luna,15,angle_estimation,5,20,3,6,0.3,0.15,-0.21428571428571427,exceeds 180,False,False gpt_5_6_luna,15,clock_reading,1,20,15,4,0.2,0.75,0.6875,10,False,False gpt_5_6_luna,15,clock_reading,2,20,10,10,0.5,0.5,0.0,after,False,False gpt_5_6_luna,15,clock_reading,3,20,14,1,0.05,0.7,0.6842105263157895,02:15,False,False gpt_5_6_luna,15,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False gpt_5_6_luna,15,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False gpt_5_6_luna,15,combination,1,20,6,7,0.35,0.3,-0.07692307692307693,10,False,False gpt_5_6_luna,15,combination,2,20,7,13,0.65,0.35,-0.8571428571428571,C,False,False gpt_5_6_luna,15,combination,3,20,14,8,0.4,0.7,0.5,yes,False,False gpt_5_6_luna,15,combination,4,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False gpt_5_6_luna,15,combination,5,20,7,14,0.7,0.35,-1.1666666666666667,connected,False,False gpt_5_6_luna,15,combination3d,1,20,9,7,0.35,0.45,0.15384615384615385,14,False,False gpt_5_6_luna,15,combination3d,2,20,8,7,0.35,0.4,0.07692307692307693,B,False,False gpt_5_6_luna,15,combination3d,3,20,13,10,0.5,0.65,0.3,yes,False,False gpt_5_6_luna,15,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False gpt_5_6_luna,15,combination3d,5,20,12,10,0.5,0.6,0.2,"same shape, different angle",False,False gpt_5_6_luna,15,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gpt_5_6_luna,15,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False gpt_5_6_luna,15,compass_bearing,3,20,1,2,0.1,0.05,-0.05555555555555555,020,False,False gpt_5_6_luna,15,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False gpt_5_6_luna,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gpt_5_6_luna,15,coordinate_geometry,1,20,19,2,0.1,0.95,0.9444444444444444,"(-6, -2)",False,False gpt_5_6_luna,15,coordinate_geometry,2,20,3,3,0.15,0.15,0.0,4.47,False,False gpt_5_6_luna,15,coordinate_geometry,3,20,13,5,0.25,0.65,0.5333333333333333,A and B,False,False gpt_5_6_luna,15,coordinate_geometry,4,20,13,6,0.3,0.65,0.5,less than,False,False gpt_5_6_luna,15,coordinate_geometry,5,20,0,3,0.15,0.0,-0.17647058823529413,3.16,False,False gpt_5_6_luna,15,cube_net,1,20,20,20,1.0,1.0,,6,True,False gpt_5_6_luna,15,cube_net,2,20,18,9,0.45,0.9,0.8181818181818182,E,False,False gpt_5_6_luna,15,cube_net,3,20,8,4,0.2,0.4,0.25,2,False,False gpt_5_6_luna,15,cube_net,4,20,16,11,0.55,0.8,0.5555555555555556,adjacent,False,False gpt_5_6_luna,15,cube_net,5,20,16,18,0.9,0.8,-1.0,no,False,False gpt_5_6_luna,15,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False gpt_5_6_luna,15,cube_structure,2,20,1,4,0.2,0.05,-0.1875,10,False,False gpt_5_6_luna,15,cube_structure,3,20,12,10,0.5,0.6,0.2,1,False,False gpt_5_6_luna,15,cube_structure,4,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False gpt_5_6_luna,15,cube_structure,5,20,8,8,0.4,0.4,0.0,2,False,False gpt_5_6_luna,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gpt_5_6_luna,15,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False gpt_5_6_luna,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gpt_5_6_luna,15,depth_height,4,20,3,2,0.1,0.15,0.05555555555555555,0.77,False,False gpt_5_6_luna,15,depth_height,5,20,16,11,0.55,0.8,0.5555555555555556,smaller,False,False gpt_5_6_luna,15,embedded_figures,1,20,0,6,0.3,0.0,-0.42857142857142855,13,False,False gpt_5_6_luna,15,embedded_figures,2,20,9,10,0.5,0.45,-0.1,6,False,False gpt_5_6_luna,15,embedded_figures,3,20,6,10,0.5,0.3,-0.4,D,False,False gpt_5_6_luna,15,embedded_figures,4,20,4,7,0.35,0.2,-0.23076923076923078,6,False,False gpt_5_6_luna,15,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gpt_5_6_luna,15,fbd,1,20,17,8,0.4,0.85,0.75,4,False,False gpt_5_6_luna,15,fbd,2,20,8,5,0.25,0.4,0.2,N,False,False gpt_5_6_luna,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gpt_5_6_luna,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gpt_5_6_luna,15,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False gpt_5_6_luna,15,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gpt_5_6_luna,15,fold_punch,2,20,9,12,0.6,0.45,-0.375,8,False,False gpt_5_6_luna,15,fold_punch,3,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False gpt_5_6_luna,15,fold_punch,4,20,10,7,0.35,0.5,0.23076923076923078,exactly half,False,False gpt_5_6_luna,15,fold_punch,5,20,17,10,0.5,0.85,0.7,16,False,False gpt_5_6_luna,15,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gpt_5_6_luna,15,gauge_reading,2,20,15,12,0.6,0.75,0.375,upper half,False,False gpt_5_6_luna,15,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False gpt_5_6_luna,15,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False gpt_5_6_luna,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gpt_5_6_luna,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gpt_5_6_luna,15,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gpt_5_6_luna,15,gear_train,3,20,17,6,0.3,0.85,0.7857142857142857,C,False,False gpt_5_6_luna,15,gear_train,4,20,8,1,0.05,0.4,0.3684210526315789,101.8,False,False gpt_5_6_luna,15,gear_train,5,20,2,8,0.4,0.1,-0.5,decrease; direction unchanged,False,False gpt_5_6_luna,15,hex_pathfinding,1,20,1,3,0.15,0.05,-0.11764705882352941,5,False,False gpt_5_6_luna,15,hex_pathfinding,2,20,12,11,0.55,0.6,0.1111111111111111,walkable,False,False gpt_5_6_luna,15,hex_pathfinding,3,20,1,6,0.3,0.05,-0.35714285714285715,5,False,False gpt_5_6_luna,15,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gpt_5_6_luna,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gpt_5_6_luna,15,impossible_object,1,20,0,11,0.55,0.0,-1.2222222222222223,5,False,False gpt_5_6_luna,15,impossible_object,2,20,7,16,0.8,0.35,-2.25,yes,False,False gpt_5_6_luna,15,impossible_object,3,20,5,7,0.35,0.25,-0.15384615384615385,C,False,False gpt_5_6_luna,15,impossible_object,4,20,2,8,0.4,0.1,-0.5,6,False,False gpt_5_6_luna,15,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False gpt_5_6_luna,15,laser_mirror,1,20,19,9,0.45,0.95,0.9090909090909091,3,False,False gpt_5_6_luna,15,laser_mirror,2,20,14,14,0.7,0.7,0.0,yes,False,False gpt_5_6_luna,15,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False gpt_5_6_luna,15,laser_mirror,4,20,4,2,0.1,0.2,0.1111111111111111,"bottom, position 3",False,False gpt_5_6_luna,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gpt_5_6_luna,15,line_intersection,1,20,15,7,0.35,0.75,0.6153846153846154,2,False,False gpt_5_6_luna,15,line_intersection,2,20,19,7,0.35,0.95,0.9230769230769231,0,False,False gpt_5_6_luna,15,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False gpt_5_6_luna,15,line_intersection,4,20,14,4,0.2,0.7,0.625,"0,0",False,False gpt_5_6_luna,15,line_intersection,5,20,8,10,0.5,0.4,-0.2,0,False,False gpt_5_6_luna,15,nested_hexagons,1,20,13,5,0.25,0.65,0.5333333333333333,4,False,False gpt_5_6_luna,15,nested_hexagons,2,20,10,13,0.65,0.5,-0.42857142857142855,constant,False,False gpt_5_6_luna,15,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False gpt_5_6_luna,15,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False gpt_5_6_luna,15,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False gpt_5_6_luna,15,nested_squares,1,20,8,4,0.2,0.4,0.25,5,False,False gpt_5_6_luna,15,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False gpt_5_6_luna,15,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False gpt_5_6_luna,15,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False gpt_5_6_luna,15,nested_squares,5,20,8,12,0.6,0.4,-0.5,yes,False,False gpt_5_6_luna,15,nested_triangles,1,20,4,6,0.3,0.2,-0.14285714285714285,4,False,False gpt_5_6_luna,15,nested_triangles,2,20,10,13,0.65,0.5,-0.42857142857142855,constant,False,False gpt_5_6_luna,15,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False gpt_5_6_luna,15,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False gpt_5_6_luna,15,nested_triangles,5,20,8,12,0.6,0.4,-0.5,yes,False,False gpt_5_6_luna,15,occluded_pattern,1,20,14,4,0.2,0.7,0.625,8,False,False gpt_5_6_luna,15,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False gpt_5_6_luna,15,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False gpt_5_6_luna,15,occluded_pattern,4,20,1,6,0.3,0.05,-0.35714285714285715,2,False,False gpt_5_6_luna,15,occluded_pattern,5,20,1,5,0.25,0.05,-0.26666666666666666,11,False,False gpt_5_6_luna,15,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gpt_5_6_luna,15,optical_illusion,2,20,7,12,0.6,0.35,-0.625,B,False,False gpt_5_6_luna,15,optical_illusion,3,20,8,9,0.45,0.4,-0.09090909090909091,equal,False,False gpt_5_6_luna,15,optical_illusion,4,20,8,9,0.45,0.4,-0.09090909090909091,0,False,False gpt_5_6_luna,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gpt_5_6_luna,15,orthographic,1,20,8,6,0.3,0.4,0.14285714285714285,6,False,False gpt_5_6_luna,15,orthographic,2,20,5,5,0.25,0.25,0.0,9,False,False gpt_5_6_luna,15,orthographic,3,20,12,5,0.25,0.6,0.4666666666666667,front,False,False gpt_5_6_luna,15,orthographic,4,20,10,8,0.4,0.5,0.16666666666666666,not unique,False,False gpt_5_6_luna,15,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gpt_5_6_luna,15,overlap_circles,1,20,1,5,0.25,0.05,-0.26666666666666666,10,False,False gpt_5_6_luna,15,overlap_circles,2,20,13,11,0.55,0.65,0.2222222222222222,no,False,False gpt_5_6_luna,15,overlap_circles,3,20,3,3,0.15,0.15,0.0,1.8,False,False gpt_5_6_luna,15,overlap_circles,4,20,10,6,0.3,0.5,0.2857142857142857,0,False,False gpt_5_6_luna,15,overlap_circles,5,20,2,4,0.2,0.1,-0.125,17,False,False gpt_5_6_luna,15,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gpt_5_6_luna,15,physical_stability,2,20,19,11,0.55,0.95,0.8888888888888888,right,False,False gpt_5_6_luna,15,physical_stability,3,20,17,10,0.5,0.85,0.7,D,False,False gpt_5_6_luna,15,physical_stability,4,20,5,8,0.4,0.25,-0.25,stable,False,False gpt_5_6_luna,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gpt_5_6_luna,15,polyhedron,1,20,2,8,0.4,0.1,-0.5,14,False,False gpt_5_6_luna,15,polyhedron,2,20,13,19,0.95,0.65,-6.0,convex,False,False gpt_5_6_luna,15,polyhedron,3,20,2,7,0.35,0.1,-0.38461538461538464,mixed,False,False gpt_5_6_luna,15,polyhedron,4,20,11,6,0.3,0.55,0.35714285714285715,no,False,False gpt_5_6_luna,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gpt_5_6_luna,15,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False gpt_5_6_luna,15,projectile_motion,2,20,12,11,0.55,0.6,0.1111111111111111,yes,False,False gpt_5_6_luna,15,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False gpt_5_6_luna,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gpt_5_6_luna,15,projectile_motion,5,20,14,15,0.75,0.7,-0.2,increase,False,False gpt_5_6_luna,15,rotation_matching,1,20,12,8,0.4,0.6,0.3333333333333333,7,False,False gpt_5_6_luna,15,rotation_matching,2,20,4,6,0.3,0.2,-0.14285714285714285,B,False,False gpt_5_6_luna,15,rotation_matching,3,20,2,4,0.2,0.1,-0.125,315,False,False gpt_5_6_luna,15,rotation_matching,4,20,5,7,0.35,0.25,-0.15384615384615385,A,False,False gpt_5_6_luna,15,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gpt_5_6_luna,15,route,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False gpt_5_6_luna,15,route,2,20,0,11,0.55,0.0,-1.2222222222222223,1,False,False gpt_5_6_luna,15,route,3,20,3,5,0.25,0.15,-0.13333333333333333,4,False,False gpt_5_6_luna,15,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gpt_5_6_luna,15,route,5,20,8,6,0.3,0.4,0.14285714285714285,4,False,False gpt_5_6_luna,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gpt_5_6_luna,15,rpm,2,20,10,4,0.2,0.5,0.375,1,False,False gpt_5_6_luna,15,rpm,3,20,17,5,0.25,0.85,0.8,correct shape but wrong color,False,False gpt_5_6_luna,15,rpm,4,20,5,5,0.25,0.25,0.0,8,False,False gpt_5_6_luna,15,rpm,5,20,3,11,0.55,0.15,-0.8888888888888888,9,False,False gpt_5_6_luna,15,shadow_inference,1,20,17,10,0.5,0.85,0.7,2,False,False gpt_5_6_luna,15,shadow_inference,2,20,1,7,0.35,0.05,-0.46153846153846156,right,False,False gpt_5_6_luna,15,shadow_inference,3,20,10,7,0.35,0.5,0.23076923076923078,low,False,False gpt_5_6_luna,15,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False gpt_5_6_luna,15,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False gpt_5_6_luna,15,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False gpt_5_6_luna,15,surface_topology,2,20,16,18,0.9,0.8,-1.0,orientable,False,False gpt_5_6_luna,15,surface_topology,3,20,6,7,0.35,0.3,-0.07692307692307693,0,False,False gpt_5_6_luna,15,surface_topology,4,20,12,8,0.4,0.6,0.3333333333333333,-4; orientable,False,False gpt_5_6_luna,15,surface_topology,5,20,5,8,0.4,0.25,-0.25,-5,False,False gpt_5_6_luna,15,symmetry_pattern,1,20,14,11,0.55,0.7,0.3333333333333333,8,False,False gpt_5_6_luna,15,symmetry_pattern,2,20,14,11,0.55,0.7,0.3333333333333333,broken,False,False gpt_5_6_luna,15,symmetry_pattern,3,20,9,6,0.3,0.45,0.21428571428571427,mirror,False,False gpt_5_6_luna,15,symmetry_pattern,4,20,5,7,0.35,0.25,-0.15384615384615385,8,False,False gpt_5_6_luna,15,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False gpt_5_6_luna,25,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False gpt_5_6_luna,25,angle_estimation,2,20,11,4,0.2,0.55,0.4375,Angle 2,False,False gpt_5_6_luna,25,angle_estimation,3,20,9,6,0.3,0.45,0.21428571428571427,greater than,False,False gpt_5_6_luna,25,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False gpt_5_6_luna,25,angle_estimation,5,20,5,6,0.3,0.25,-0.07142857142857142,exceeds 180,False,False gpt_5_6_luna,25,clock_reading,1,20,13,4,0.2,0.65,0.5625,10,False,False gpt_5_6_luna,25,clock_reading,2,20,10,10,0.5,0.5,0.0,after,False,False gpt_5_6_luna,25,clock_reading,3,20,13,1,0.05,0.65,0.631578947368421,02:15,False,False gpt_5_6_luna,25,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False gpt_5_6_luna,25,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False gpt_5_6_luna,25,combination,1,20,6,7,0.35,0.3,-0.07692307692307693,10,False,False gpt_5_6_luna,25,combination,2,20,6,13,0.65,0.3,-1.0,C,False,False gpt_5_6_luna,25,combination,3,20,11,8,0.4,0.55,0.25,yes,False,False gpt_5_6_luna,25,combination,4,20,7,7,0.35,0.35,0.0,B,False,False gpt_5_6_luna,25,combination,5,20,13,14,0.7,0.65,-0.16666666666666666,connected,False,False gpt_5_6_luna,25,combination3d,1,20,5,7,0.35,0.25,-0.15384615384615385,14,False,False gpt_5_6_luna,25,combination3d,2,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False gpt_5_6_luna,25,combination3d,3,20,16,10,0.5,0.8,0.6,yes,False,False gpt_5_6_luna,25,combination3d,4,20,4,5,0.25,0.2,-0.06666666666666667,D,False,False gpt_5_6_luna,25,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False gpt_5_6_luna,25,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gpt_5_6_luna,25,compass_bearing,2,20,18,9,0.45,0.9,0.8181818181818182,north,False,False gpt_5_6_luna,25,compass_bearing,3,20,3,2,0.1,0.15,0.05555555555555555,020,False,False gpt_5_6_luna,25,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False gpt_5_6_luna,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gpt_5_6_luna,25,coordinate_geometry,1,20,17,2,0.1,0.85,0.8333333333333334,"(-6, -2)",False,False gpt_5_6_luna,25,coordinate_geometry,2,20,3,3,0.15,0.15,0.0,4.47,False,False gpt_5_6_luna,25,coordinate_geometry,3,20,12,5,0.25,0.6,0.4666666666666667,A and B,False,False gpt_5_6_luna,25,coordinate_geometry,4,20,14,6,0.3,0.7,0.5714285714285714,less than,False,False gpt_5_6_luna,25,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False gpt_5_6_luna,25,cube_net,1,20,20,20,1.0,1.0,,6,True,False gpt_5_6_luna,25,cube_net,2,20,19,9,0.45,0.95,0.9090909090909091,E,False,False gpt_5_6_luna,25,cube_net,3,20,8,4,0.2,0.4,0.25,2,False,False gpt_5_6_luna,25,cube_net,4,20,16,11,0.55,0.8,0.5555555555555556,adjacent,False,False gpt_5_6_luna,25,cube_net,5,20,16,18,0.9,0.8,-1.0,no,False,False gpt_5_6_luna,25,cube_structure,1,20,0,6,0.3,0.0,-0.42857142857142855,12,False,False gpt_5_6_luna,25,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False gpt_5_6_luna,25,cube_structure,3,20,10,10,0.5,0.5,0.0,1,False,False gpt_5_6_luna,25,cube_structure,4,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False gpt_5_6_luna,25,cube_structure,5,20,9,8,0.4,0.45,0.08333333333333333,2,False,False gpt_5_6_luna,25,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gpt_5_6_luna,25,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False gpt_5_6_luna,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gpt_5_6_luna,25,depth_height,4,20,3,2,0.1,0.15,0.05555555555555555,0.77,False,False gpt_5_6_luna,25,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False gpt_5_6_luna,25,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False gpt_5_6_luna,25,embedded_figures,2,20,6,10,0.5,0.3,-0.4,6,False,False gpt_5_6_luna,25,embedded_figures,3,20,11,10,0.5,0.55,0.1,D,False,False gpt_5_6_luna,25,embedded_figures,4,20,6,7,0.35,0.3,-0.07692307692307693,6,False,False gpt_5_6_luna,25,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gpt_5_6_luna,25,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False gpt_5_6_luna,25,fbd,2,20,7,5,0.25,0.35,0.13333333333333333,N,False,False gpt_5_6_luna,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gpt_5_6_luna,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gpt_5_6_luna,25,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False gpt_5_6_luna,25,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gpt_5_6_luna,25,fold_punch,2,20,10,12,0.6,0.5,-0.25,8,False,False gpt_5_6_luna,25,fold_punch,3,20,7,7,0.35,0.35,0.0,B,False,False gpt_5_6_luna,25,fold_punch,4,20,10,7,0.35,0.5,0.23076923076923078,exactly half,False,False gpt_5_6_luna,25,fold_punch,5,20,15,10,0.5,0.75,0.5,16,False,False gpt_5_6_luna,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gpt_5_6_luna,25,gauge_reading,2,20,16,12,0.6,0.8,0.5,upper half,False,False gpt_5_6_luna,25,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False gpt_5_6_luna,25,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False gpt_5_6_luna,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gpt_5_6_luna,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gpt_5_6_luna,25,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gpt_5_6_luna,25,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False gpt_5_6_luna,25,gear_train,4,20,8,1,0.05,0.4,0.3684210526315789,101.8,False,False gpt_5_6_luna,25,gear_train,5,20,3,8,0.4,0.15,-0.4166666666666667,decrease; direction unchanged,False,False gpt_5_6_luna,25,hex_pathfinding,1,20,1,3,0.15,0.05,-0.11764705882352941,5,False,False gpt_5_6_luna,25,hex_pathfinding,2,20,14,11,0.55,0.7,0.3333333333333333,walkable,False,False gpt_5_6_luna,25,hex_pathfinding,3,20,4,6,0.3,0.2,-0.14285714285714285,5,False,False gpt_5_6_luna,25,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gpt_5_6_luna,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gpt_5_6_luna,25,impossible_object,1,20,0,11,0.55,0.0,-1.2222222222222223,5,False,False gpt_5_6_luna,25,impossible_object,2,20,8,16,0.8,0.4,-2.0,yes,False,False gpt_5_6_luna,25,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False gpt_5_6_luna,25,impossible_object,4,20,1,8,0.4,0.05,-0.5833333333333334,6,False,False gpt_5_6_luna,25,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False gpt_5_6_luna,25,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False gpt_5_6_luna,25,laser_mirror,2,20,14,14,0.7,0.7,0.0,yes,False,False gpt_5_6_luna,25,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False gpt_5_6_luna,25,laser_mirror,4,20,4,2,0.1,0.2,0.1111111111111111,"bottom, position 3",False,False gpt_5_6_luna,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gpt_5_6_luna,25,line_intersection,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False gpt_5_6_luna,25,line_intersection,2,20,16,7,0.35,0.8,0.6923076923076923,0,False,False gpt_5_6_luna,25,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False gpt_5_6_luna,25,line_intersection,4,20,13,4,0.2,0.65,0.5625,"0,0",False,False gpt_5_6_luna,25,line_intersection,5,20,10,10,0.5,0.5,0.0,0,False,False gpt_5_6_luna,25,nested_hexagons,1,20,12,5,0.25,0.6,0.4666666666666667,4,False,False gpt_5_6_luna,25,nested_hexagons,2,20,10,13,0.65,0.5,-0.42857142857142855,constant,False,False gpt_5_6_luna,25,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False gpt_5_6_luna,25,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False gpt_5_6_luna,25,nested_hexagons,5,20,10,10,0.5,0.5,0.0,no,False,False gpt_5_6_luna,25,nested_squares,1,20,5,4,0.2,0.25,0.0625,5,False,False gpt_5_6_luna,25,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False gpt_5_6_luna,25,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False gpt_5_6_luna,25,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False gpt_5_6_luna,25,nested_squares,5,20,8,12,0.6,0.4,-0.5,yes,False,False gpt_5_6_luna,25,nested_triangles,1,20,2,6,0.3,0.1,-0.2857142857142857,4,False,False gpt_5_6_luna,25,nested_triangles,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False gpt_5_6_luna,25,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False gpt_5_6_luna,25,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False gpt_5_6_luna,25,nested_triangles,5,20,8,12,0.6,0.4,-0.5,yes,False,False gpt_5_6_luna,25,occluded_pattern,1,20,13,4,0.2,0.65,0.5625,8,False,False gpt_5_6_luna,25,occluded_pattern,2,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False gpt_5_6_luna,25,occluded_pattern,3,20,11,9,0.45,0.55,0.18181818181818182,circle,False,False gpt_5_6_luna,25,occluded_pattern,4,20,1,6,0.3,0.05,-0.35714285714285715,2,False,False gpt_5_6_luna,25,occluded_pattern,5,20,1,5,0.25,0.05,-0.26666666666666666,11,False,False gpt_5_6_luna,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gpt_5_6_luna,25,optical_illusion,2,20,8,12,0.6,0.4,-0.5,B,False,False gpt_5_6_luna,25,optical_illusion,3,20,11,9,0.45,0.55,0.18181818181818182,equal,False,False gpt_5_6_luna,25,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False gpt_5_6_luna,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gpt_5_6_luna,25,orthographic,1,20,8,6,0.3,0.4,0.14285714285714285,6,False,False gpt_5_6_luna,25,orthographic,2,20,5,5,0.25,0.25,0.0,9,False,False gpt_5_6_luna,25,orthographic,3,20,12,5,0.25,0.6,0.4666666666666667,front,False,False gpt_5_6_luna,25,orthographic,4,20,10,8,0.4,0.5,0.16666666666666666,not unique,False,False gpt_5_6_luna,25,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gpt_5_6_luna,25,overlap_circles,1,20,1,5,0.25,0.05,-0.26666666666666666,10,False,False gpt_5_6_luna,25,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False gpt_5_6_luna,25,overlap_circles,3,20,4,3,0.15,0.2,0.058823529411764705,1.8,False,False gpt_5_6_luna,25,overlap_circles,4,20,9,6,0.3,0.45,0.21428571428571427,0,False,False gpt_5_6_luna,25,overlap_circles,5,20,4,4,0.2,0.2,0.0,17,False,False gpt_5_6_luna,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gpt_5_6_luna,25,physical_stability,2,20,18,11,0.55,0.9,0.7777777777777778,right,False,False gpt_5_6_luna,25,physical_stability,3,20,14,10,0.5,0.7,0.4,D,False,False gpt_5_6_luna,25,physical_stability,4,20,2,8,0.4,0.1,-0.5,stable,False,False gpt_5_6_luna,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gpt_5_6_luna,25,polyhedron,1,20,5,8,0.4,0.25,-0.25,14,False,False gpt_5_6_luna,25,polyhedron,2,20,16,19,0.95,0.8,-3.0,convex,False,False gpt_5_6_luna,25,polyhedron,3,20,1,7,0.35,0.05,-0.46153846153846156,mixed,False,False gpt_5_6_luna,25,polyhedron,4,20,11,6,0.3,0.55,0.35714285714285715,no,False,False gpt_5_6_luna,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gpt_5_6_luna,25,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False gpt_5_6_luna,25,projectile_motion,2,20,11,11,0.55,0.55,0.0,yes,False,False gpt_5_6_luna,25,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False gpt_5_6_luna,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gpt_5_6_luna,25,projectile_motion,5,20,14,15,0.75,0.7,-0.2,increase,False,False gpt_5_6_luna,25,rotation_matching,1,20,10,8,0.4,0.5,0.16666666666666666,7,False,False gpt_5_6_luna,25,rotation_matching,2,20,4,6,0.3,0.2,-0.14285714285714285,B,False,False gpt_5_6_luna,25,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False gpt_5_6_luna,25,rotation_matching,4,20,0,7,0.35,0.0,-0.5384615384615384,A,False,False gpt_5_6_luna,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gpt_5_6_luna,25,route,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False gpt_5_6_luna,25,route,2,20,2,11,0.55,0.1,-1.0,1,False,False gpt_5_6_luna,25,route,3,20,1,5,0.25,0.05,-0.26666666666666666,4,False,False gpt_5_6_luna,25,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gpt_5_6_luna,25,route,5,20,7,6,0.3,0.35,0.07142857142857142,4,False,False gpt_5_6_luna,25,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gpt_5_6_luna,25,rpm,2,20,13,4,0.2,0.65,0.5625,1,False,False gpt_5_6_luna,25,rpm,3,20,13,5,0.25,0.65,0.5333333333333333,correct shape but wrong color,False,False gpt_5_6_luna,25,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False gpt_5_6_luna,25,rpm,5,20,3,11,0.55,0.15,-0.8888888888888888,9,False,False gpt_5_6_luna,25,shadow_inference,1,20,20,10,0.5,1.0,1.0,2,False,False gpt_5_6_luna,25,shadow_inference,2,20,4,7,0.35,0.2,-0.23076923076923078,right,False,False gpt_5_6_luna,25,shadow_inference,3,20,9,7,0.35,0.45,0.15384615384615385,low,False,False gpt_5_6_luna,25,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False gpt_5_6_luna,25,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False gpt_5_6_luna,25,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False gpt_5_6_luna,25,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False gpt_5_6_luna,25,surface_topology,3,20,6,7,0.35,0.3,-0.07692307692307693,0,False,False gpt_5_6_luna,25,surface_topology,4,20,14,8,0.4,0.7,0.5,-4; orientable,False,False gpt_5_6_luna,25,surface_topology,5,20,5,8,0.4,0.25,-0.25,-5,False,False gpt_5_6_luna,25,symmetry_pattern,1,20,13,11,0.55,0.65,0.2222222222222222,8,False,False gpt_5_6_luna,25,symmetry_pattern,2,20,15,11,0.55,0.75,0.4444444444444444,broken,False,False gpt_5_6_luna,25,symmetry_pattern,3,20,9,6,0.3,0.45,0.21428571428571427,mirror,False,False gpt_5_6_luna,25,symmetry_pattern,4,20,2,7,0.35,0.1,-0.38461538461538464,8,False,False gpt_5_6_luna,25,symmetry_pattern,5,20,19,20,1.0,0.95,,yes,True,False gpt_5_6_luna,40,angle_estimation,1,20,20,7,0.35,1.0,1.0,2,False,False gpt_5_6_luna,40,angle_estimation,2,20,11,4,0.2,0.55,0.4375,Angle 2,False,False gpt_5_6_luna,40,angle_estimation,3,20,9,6,0.3,0.45,0.21428571428571427,greater than,False,False gpt_5_6_luna,40,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False gpt_5_6_luna,40,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False gpt_5_6_luna,40,clock_reading,1,20,12,4,0.2,0.6,0.5,10,False,False gpt_5_6_luna,40,clock_reading,2,20,13,10,0.5,0.65,0.3,after,False,False gpt_5_6_luna,40,clock_reading,3,20,13,1,0.05,0.65,0.631578947368421,02:15,False,False gpt_5_6_luna,40,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False gpt_5_6_luna,40,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False gpt_5_6_luna,40,combination,1,20,6,7,0.35,0.3,-0.07692307692307693,10,False,False gpt_5_6_luna,40,combination,2,20,11,13,0.65,0.55,-0.2857142857142857,C,False,False gpt_5_6_luna,40,combination,3,20,12,8,0.4,0.6,0.3333333333333333,yes,False,False gpt_5_6_luna,40,combination,4,20,7,7,0.35,0.35,0.0,B,False,False gpt_5_6_luna,40,combination,5,20,10,14,0.7,0.5,-0.6666666666666666,connected,False,False gpt_5_6_luna,40,combination3d,1,20,3,7,0.35,0.15,-0.3076923076923077,14,False,False gpt_5_6_luna,40,combination3d,2,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False gpt_5_6_luna,40,combination3d,3,20,11,10,0.5,0.55,0.1,yes,False,False gpt_5_6_luna,40,combination3d,4,20,4,5,0.25,0.2,-0.06666666666666667,D,False,False gpt_5_6_luna,40,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False gpt_5_6_luna,40,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gpt_5_6_luna,40,compass_bearing,2,20,18,9,0.45,0.9,0.8181818181818182,north,False,False gpt_5_6_luna,40,compass_bearing,3,20,3,2,0.1,0.15,0.05555555555555555,020,False,False gpt_5_6_luna,40,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False gpt_5_6_luna,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gpt_5_6_luna,40,coordinate_geometry,1,20,6,2,0.1,0.3,0.2222222222222222,"(-6, -2)",False,False gpt_5_6_luna,40,coordinate_geometry,2,20,0,3,0.15,0.0,-0.17647058823529413,4.47,False,False gpt_5_6_luna,40,coordinate_geometry,3,20,11,5,0.25,0.55,0.4,A and B,False,False gpt_5_6_luna,40,coordinate_geometry,4,20,13,6,0.3,0.65,0.5,less than,False,False gpt_5_6_luna,40,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False gpt_5_6_luna,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False gpt_5_6_luna,40,cube_net,2,20,19,9,0.45,0.95,0.9090909090909091,E,False,False gpt_5_6_luna,40,cube_net,3,20,9,4,0.2,0.45,0.3125,2,False,False gpt_5_6_luna,40,cube_net,4,20,9,11,0.55,0.45,-0.2222222222222222,adjacent,False,False gpt_5_6_luna,40,cube_net,5,20,17,18,0.9,0.85,-0.5,no,False,False gpt_5_6_luna,40,cube_structure,1,20,0,6,0.3,0.0,-0.42857142857142855,12,False,False gpt_5_6_luna,40,cube_structure,2,20,7,4,0.2,0.35,0.1875,10,False,False gpt_5_6_luna,40,cube_structure,3,20,8,10,0.5,0.4,-0.2,1,False,False gpt_5_6_luna,40,cube_structure,4,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False gpt_5_6_luna,40,cube_structure,5,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False gpt_5_6_luna,40,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gpt_5_6_luna,40,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False gpt_5_6_luna,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gpt_5_6_luna,40,depth_height,4,20,2,2,0.1,0.1,0.0,0.77,False,False gpt_5_6_luna,40,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False gpt_5_6_luna,40,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False gpt_5_6_luna,40,embedded_figures,2,20,9,10,0.5,0.45,-0.1,6,False,False gpt_5_6_luna,40,embedded_figures,3,20,5,10,0.5,0.25,-0.5,D,False,False gpt_5_6_luna,40,embedded_figures,4,20,4,7,0.35,0.2,-0.23076923076923078,6,False,False gpt_5_6_luna,40,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gpt_5_6_luna,40,fbd,1,20,14,8,0.4,0.7,0.5,4,False,False gpt_5_6_luna,40,fbd,2,20,5,5,0.25,0.25,0.0,N,False,False gpt_5_6_luna,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gpt_5_6_luna,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gpt_5_6_luna,40,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False gpt_5_6_luna,40,fold_punch,1,20,19,12,0.6,0.95,0.875,3,False,False gpt_5_6_luna,40,fold_punch,2,20,4,12,0.6,0.2,-1.0,8,False,False gpt_5_6_luna,40,fold_punch,3,20,3,7,0.35,0.15,-0.3076923076923077,B,False,False gpt_5_6_luna,40,fold_punch,4,20,6,7,0.35,0.3,-0.07692307692307693,exactly half,False,False gpt_5_6_luna,40,fold_punch,5,20,9,10,0.5,0.45,-0.1,16,False,False gpt_5_6_luna,40,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gpt_5_6_luna,40,gauge_reading,2,20,17,12,0.6,0.85,0.625,upper half,False,False gpt_5_6_luna,40,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False gpt_5_6_luna,40,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False gpt_5_6_luna,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gpt_5_6_luna,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gpt_5_6_luna,40,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gpt_5_6_luna,40,gear_train,3,20,17,6,0.3,0.85,0.7857142857142857,C,False,False gpt_5_6_luna,40,gear_train,4,20,3,1,0.05,0.15,0.10526315789473684,101.8,False,False gpt_5_6_luna,40,gear_train,5,20,3,8,0.4,0.15,-0.4166666666666667,decrease; direction unchanged,False,False gpt_5_6_luna,40,hex_pathfinding,1,20,1,3,0.15,0.05,-0.11764705882352941,5,False,False gpt_5_6_luna,40,hex_pathfinding,2,20,14,11,0.55,0.7,0.3333333333333333,walkable,False,False gpt_5_6_luna,40,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False gpt_5_6_luna,40,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gpt_5_6_luna,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gpt_5_6_luna,40,impossible_object,1,20,0,11,0.55,0.0,-1.2222222222222223,5,False,False gpt_5_6_luna,40,impossible_object,2,20,8,16,0.8,0.4,-2.0,yes,False,False gpt_5_6_luna,40,impossible_object,3,20,4,7,0.35,0.2,-0.23076923076923078,C,False,False gpt_5_6_luna,40,impossible_object,4,20,4,8,0.4,0.2,-0.3333333333333333,6,False,False gpt_5_6_luna,40,impossible_object,5,20,2,16,0.8,0.1,-3.5,already constructible,False,False gpt_5_6_luna,40,laser_mirror,1,20,19,9,0.45,0.95,0.9090909090909091,3,False,False gpt_5_6_luna,40,laser_mirror,2,20,14,14,0.7,0.7,0.0,yes,False,False gpt_5_6_luna,40,laser_mirror,3,20,0,8,0.4,0.0,-0.6666666666666666,1,False,False gpt_5_6_luna,40,laser_mirror,4,20,2,2,0.1,0.1,0.0,"bottom, position 3",False,False gpt_5_6_luna,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gpt_5_6_luna,40,line_intersection,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False gpt_5_6_luna,40,line_intersection,2,20,16,7,0.35,0.8,0.6923076923076923,0,False,False gpt_5_6_luna,40,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False gpt_5_6_luna,40,line_intersection,4,20,16,4,0.2,0.8,0.75,"0,0",False,False gpt_5_6_luna,40,line_intersection,5,20,13,10,0.5,0.65,0.3,0,False,False gpt_5_6_luna,40,nested_hexagons,1,20,10,5,0.25,0.5,0.3333333333333333,4,False,False gpt_5_6_luna,40,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False gpt_5_6_luna,40,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False gpt_5_6_luna,40,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False gpt_5_6_luna,40,nested_hexagons,5,20,9,10,0.5,0.45,-0.1,no,False,False gpt_5_6_luna,40,nested_squares,1,20,8,4,0.2,0.4,0.25,5,False,False gpt_5_6_luna,40,nested_squares,2,20,12,11,0.55,0.6,0.1111111111111111,changing,False,False gpt_5_6_luna,40,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False gpt_5_6_luna,40,nested_squares,4,20,1,3,0.15,0.05,-0.11764705882352941,0,False,False gpt_5_6_luna,40,nested_squares,5,20,9,12,0.6,0.45,-0.375,yes,False,False gpt_5_6_luna,40,nested_triangles,1,20,1,6,0.3,0.05,-0.35714285714285715,4,False,False gpt_5_6_luna,40,nested_triangles,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False gpt_5_6_luna,40,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False gpt_5_6_luna,40,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False gpt_5_6_luna,40,nested_triangles,5,20,9,12,0.6,0.45,-0.375,yes,False,False gpt_5_6_luna,40,occluded_pattern,1,20,17,4,0.2,0.85,0.8125,8,False,False gpt_5_6_luna,40,occluded_pattern,2,20,6,5,0.25,0.3,0.06666666666666667,10,False,False gpt_5_6_luna,40,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False gpt_5_6_luna,40,occluded_pattern,4,20,1,6,0.3,0.05,-0.35714285714285715,2,False,False gpt_5_6_luna,40,occluded_pattern,5,20,0,5,0.25,0.0,-0.3333333333333333,11,False,False gpt_5_6_luna,40,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gpt_5_6_luna,40,optical_illusion,2,20,7,12,0.6,0.35,-0.625,B,False,False gpt_5_6_luna,40,optical_illusion,3,20,10,9,0.45,0.5,0.09090909090909091,equal,False,False gpt_5_6_luna,40,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False gpt_5_6_luna,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gpt_5_6_luna,40,orthographic,1,20,5,6,0.3,0.25,-0.07142857142857142,6,False,False gpt_5_6_luna,40,orthographic,2,20,3,5,0.25,0.15,-0.13333333333333333,9,False,False gpt_5_6_luna,40,orthographic,3,20,14,5,0.25,0.7,0.6,front,False,False gpt_5_6_luna,40,orthographic,4,20,10,8,0.4,0.5,0.16666666666666666,not unique,False,False gpt_5_6_luna,40,orthographic,5,20,3,20,1.0,0.15,,front and side,True,False gpt_5_6_luna,40,overlap_circles,1,20,2,5,0.25,0.1,-0.2,10,False,False gpt_5_6_luna,40,overlap_circles,2,20,12,11,0.55,0.6,0.1111111111111111,no,False,False gpt_5_6_luna,40,overlap_circles,3,20,5,3,0.15,0.25,0.11764705882352941,1.8,False,False gpt_5_6_luna,40,overlap_circles,4,20,8,6,0.3,0.4,0.14285714285714285,0,False,False gpt_5_6_luna,40,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False gpt_5_6_luna,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gpt_5_6_luna,40,physical_stability,2,20,18,11,0.55,0.9,0.7777777777777778,right,False,False gpt_5_6_luna,40,physical_stability,3,20,13,10,0.5,0.65,0.3,D,False,False gpt_5_6_luna,40,physical_stability,4,20,3,8,0.4,0.15,-0.4166666666666667,stable,False,False gpt_5_6_luna,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gpt_5_6_luna,40,polyhedron,1,20,6,8,0.4,0.3,-0.16666666666666666,14,False,False gpt_5_6_luna,40,polyhedron,2,20,16,19,0.95,0.8,-3.0,convex,False,False gpt_5_6_luna,40,polyhedron,3,20,2,7,0.35,0.1,-0.38461538461538464,mixed,False,False gpt_5_6_luna,40,polyhedron,4,20,10,6,0.3,0.5,0.2857142857142857,no,False,False gpt_5_6_luna,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gpt_5_6_luna,40,projectile_motion,1,20,18,3,0.15,0.9,0.8823529411764706,68,False,False gpt_5_6_luna,40,projectile_motion,2,20,14,11,0.55,0.7,0.3333333333333333,yes,False,False gpt_5_6_luna,40,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False gpt_5_6_luna,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gpt_5_6_luna,40,projectile_motion,5,20,12,15,0.75,0.6,-0.6,increase,False,False gpt_5_6_luna,40,rotation_matching,1,20,10,8,0.4,0.5,0.16666666666666666,7,False,False gpt_5_6_luna,40,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False gpt_5_6_luna,40,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False gpt_5_6_luna,40,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False gpt_5_6_luna,40,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gpt_5_6_luna,40,route,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False gpt_5_6_luna,40,route,2,20,2,11,0.55,0.1,-1.0,1,False,False gpt_5_6_luna,40,route,3,20,2,5,0.25,0.1,-0.2,4,False,False gpt_5_6_luna,40,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gpt_5_6_luna,40,route,5,20,6,6,0.3,0.3,0.0,4,False,False gpt_5_6_luna,40,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gpt_5_6_luna,40,rpm,2,20,11,4,0.2,0.55,0.4375,1,False,False gpt_5_6_luna,40,rpm,3,20,13,5,0.25,0.65,0.5333333333333333,correct shape but wrong color,False,False gpt_5_6_luna,40,rpm,4,20,5,5,0.25,0.25,0.0,8,False,False gpt_5_6_luna,40,rpm,5,20,2,11,0.55,0.1,-1.0,9,False,False gpt_5_6_luna,40,shadow_inference,1,20,20,10,0.5,1.0,1.0,2,False,False gpt_5_6_luna,40,shadow_inference,2,20,0,7,0.35,0.0,-0.5384615384615384,right,False,False gpt_5_6_luna,40,shadow_inference,3,20,10,7,0.35,0.5,0.23076923076923078,low,False,False gpt_5_6_luna,40,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False gpt_5_6_luna,40,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False gpt_5_6_luna,40,surface_topology,1,20,16,8,0.4,0.8,0.6666666666666666,3,False,False gpt_5_6_luna,40,surface_topology,2,20,20,18,0.9,1.0,1.0,orientable,False,False gpt_5_6_luna,40,surface_topology,3,20,8,7,0.35,0.4,0.07692307692307693,0,False,False gpt_5_6_luna,40,surface_topology,4,20,13,8,0.4,0.65,0.4166666666666667,-4; orientable,False,False gpt_5_6_luna,40,surface_topology,5,20,7,8,0.4,0.35,-0.08333333333333333,-5,False,False gpt_5_6_luna,40,symmetry_pattern,1,20,13,11,0.55,0.65,0.2222222222222222,8,False,False gpt_5_6_luna,40,symmetry_pattern,2,20,14,11,0.55,0.7,0.3333333333333333,broken,False,False gpt_5_6_luna,40,symmetry_pattern,3,20,8,6,0.3,0.4,0.14285714285714285,mirror,False,False gpt_5_6_luna,40,symmetry_pattern,4,20,4,7,0.35,0.2,-0.23076923076923078,8,False,False gpt_5_6_luna,40,symmetry_pattern,5,20,18,20,1.0,0.9,,yes,True,False gpt_5_6_sol,0,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False gpt_5_6_sol,0,angle_estimation,2,20,13,4,0.2,0.65,0.5625,Angle 2,False,False gpt_5_6_sol,0,angle_estimation,3,20,17,6,0.3,0.85,0.7857142857142857,greater than,False,False gpt_5_6_sol,0,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False gpt_5_6_sol,0,angle_estimation,5,20,5,6,0.3,0.25,-0.07142857142857142,exceeds 180,False,False gpt_5_6_sol,0,clock_reading,1,20,18,4,0.2,0.9,0.875,10,False,False gpt_5_6_sol,0,clock_reading,2,20,13,10,0.5,0.65,0.3,after,False,False gpt_5_6_sol,0,clock_reading,3,20,14,1,0.05,0.7,0.6842105263157895,02:15,False,False gpt_5_6_sol,0,clock_reading,4,20,3,1,0.05,0.15,0.10526315789473684,123,False,False gpt_5_6_sol,0,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False gpt_5_6_sol,0,combination,1,20,11,7,0.35,0.55,0.3076923076923077,10,False,False gpt_5_6_sol,0,combination,2,20,7,13,0.65,0.35,-0.8571428571428571,C,False,False gpt_5_6_sol,0,combination,3,20,15,8,0.4,0.75,0.5833333333333334,yes,False,False gpt_5_6_sol,0,combination,4,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False gpt_5_6_sol,0,combination,5,20,17,14,0.7,0.85,0.5,connected,False,False gpt_5_6_sol,0,combination3d,1,20,1,7,0.35,0.05,-0.46153846153846156,14,False,False gpt_5_6_sol,0,combination3d,2,20,11,7,0.35,0.55,0.3076923076923077,B,False,False gpt_5_6_sol,0,combination3d,3,20,14,10,0.5,0.7,0.4,yes,False,False gpt_5_6_sol,0,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False gpt_5_6_sol,0,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False gpt_5_6_sol,0,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gpt_5_6_sol,0,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False gpt_5_6_sol,0,compass_bearing,3,20,9,2,0.1,0.45,0.3888888888888889,020,False,False gpt_5_6_sol,0,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False gpt_5_6_sol,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gpt_5_6_sol,0,coordinate_geometry,1,20,20,2,0.1,1.0,1.0,"(-6, -2)",False,False gpt_5_6_sol,0,coordinate_geometry,2,20,10,3,0.15,0.5,0.4117647058823529,4.47,False,False gpt_5_6_sol,0,coordinate_geometry,3,20,18,5,0.25,0.9,0.8666666666666667,A and B,False,False gpt_5_6_sol,0,coordinate_geometry,4,20,18,6,0.3,0.9,0.8571428571428571,less than,False,False gpt_5_6_sol,0,coordinate_geometry,5,20,3,3,0.15,0.15,0.0,3.16,False,False gpt_5_6_sol,0,cube_net,1,20,19,20,1.0,0.95,,6,True,False gpt_5_6_sol,0,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False gpt_5_6_sol,0,cube_net,3,20,12,4,0.2,0.6,0.5,2,False,False gpt_5_6_sol,0,cube_net,4,20,18,11,0.55,0.9,0.7777777777777778,adjacent,False,False gpt_5_6_sol,0,cube_net,5,20,17,18,0.9,0.85,-0.5,no,False,False gpt_5_6_sol,0,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False gpt_5_6_sol,0,cube_structure,2,20,1,4,0.2,0.05,-0.1875,10,False,False gpt_5_6_sol,0,cube_structure,3,20,14,10,0.5,0.7,0.4,1,False,False gpt_5_6_sol,0,cube_structure,4,20,9,8,0.4,0.45,0.08333333333333333,2,False,False gpt_5_6_sol,0,cube_structure,5,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False gpt_5_6_sol,0,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gpt_5_6_sol,0,depth_height,2,20,5,6,0.3,0.25,-0.07142857142857142,magenta,False,False gpt_5_6_sol,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gpt_5_6_sol,0,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False gpt_5_6_sol,0,depth_height,5,20,16,11,0.55,0.8,0.5555555555555556,smaller,False,False gpt_5_6_sol,0,embedded_figures,1,20,3,6,0.3,0.15,-0.21428571428571427,13,False,False gpt_5_6_sol,0,embedded_figures,2,20,5,10,0.5,0.25,-0.5,6,False,False gpt_5_6_sol,0,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False gpt_5_6_sol,0,embedded_figures,4,20,2,7,0.35,0.1,-0.38461538461538464,6,False,False gpt_5_6_sol,0,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gpt_5_6_sol,0,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False gpt_5_6_sol,0,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False gpt_5_6_sol,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gpt_5_6_sol,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gpt_5_6_sol,0,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False gpt_5_6_sol,0,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gpt_5_6_sol,0,fold_punch,2,20,14,12,0.6,0.7,0.25,8,False,False gpt_5_6_sol,0,fold_punch,3,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False gpt_5_6_sol,0,fold_punch,4,20,14,7,0.35,0.7,0.5384615384615384,exactly half,False,False gpt_5_6_sol,0,fold_punch,5,20,14,10,0.5,0.7,0.4,16,False,False gpt_5_6_sol,0,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gpt_5_6_sol,0,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False gpt_5_6_sol,0,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False gpt_5_6_sol,0,gauge_reading,4,20,5,14,0.7,0.25,-1.5,no danger zone marked,False,False gpt_5_6_sol,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gpt_5_6_sol,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gpt_5_6_sol,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gpt_5_6_sol,0,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False gpt_5_6_sol,0,gear_train,4,20,15,1,0.05,0.75,0.7368421052631579,101.8,False,False gpt_5_6_sol,0,gear_train,5,20,8,8,0.4,0.4,0.0,decrease; direction unchanged,False,False gpt_5_6_sol,0,hex_pathfinding,1,20,8,3,0.15,0.4,0.29411764705882354,5,False,False gpt_5_6_sol,0,hex_pathfinding,2,20,20,11,0.55,1.0,1.0,walkable,False,False gpt_5_6_sol,0,hex_pathfinding,3,20,7,6,0.3,0.35,0.07142857142857142,5,False,False gpt_5_6_sol,0,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gpt_5_6_sol,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gpt_5_6_sol,0,impossible_object,1,20,3,11,0.55,0.15,-0.8888888888888888,5,False,False gpt_5_6_sol,0,impossible_object,2,20,5,16,0.8,0.25,-2.75,yes,False,False gpt_5_6_sol,0,impossible_object,3,20,6,7,0.35,0.3,-0.07692307692307693,C,False,False gpt_5_6_sol,0,impossible_object,4,20,0,8,0.4,0.0,-0.6666666666666666,6,False,False gpt_5_6_sol,0,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False gpt_5_6_sol,0,laser_mirror,1,20,18,9,0.45,0.9,0.8181818181818182,3,False,False gpt_5_6_sol,0,laser_mirror,2,20,18,14,0.7,0.9,0.6666666666666666,yes,False,False gpt_5_6_sol,0,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False gpt_5_6_sol,0,laser_mirror,4,20,1,2,0.1,0.05,-0.05555555555555555,"bottom, position 3",False,False gpt_5_6_sol,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gpt_5_6_sol,0,line_intersection,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False gpt_5_6_sol,0,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False gpt_5_6_sol,0,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False gpt_5_6_sol,0,line_intersection,4,20,17,4,0.2,0.85,0.8125,"0,0",False,False gpt_5_6_sol,0,line_intersection,5,20,15,10,0.5,0.75,0.5,0,False,False gpt_5_6_sol,0,nested_hexagons,1,20,13,5,0.25,0.65,0.5333333333333333,4,False,False gpt_5_6_sol,0,nested_hexagons,2,20,11,13,0.65,0.55,-0.2857142857142857,constant,False,False gpt_5_6_sol,0,nested_hexagons,3,20,1,2,0.1,0.05,-0.05555555555555555,4.0,False,False gpt_5_6_sol,0,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False gpt_5_6_sol,0,nested_hexagons,5,20,19,10,0.5,0.95,0.9,no,False,False gpt_5_6_sol,0,nested_squares,1,20,9,4,0.2,0.45,0.3125,5,False,False gpt_5_6_sol,0,nested_squares,2,20,8,11,0.55,0.4,-0.3333333333333333,changing,False,False gpt_5_6_sol,0,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False gpt_5_6_sol,0,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False gpt_5_6_sol,0,nested_squares,5,20,18,12,0.6,0.9,0.75,yes,False,False gpt_5_6_sol,0,nested_triangles,1,20,7,6,0.3,0.35,0.07142857142857142,4,False,False gpt_5_6_sol,0,nested_triangles,2,20,7,13,0.65,0.35,-0.8571428571428571,constant,False,False gpt_5_6_sol,0,nested_triangles,3,20,1,2,0.1,0.05,-0.05555555555555555,4.1,False,False gpt_5_6_sol,0,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False gpt_5_6_sol,0,nested_triangles,5,20,17,12,0.6,0.85,0.625,yes,False,False gpt_5_6_sol,0,occluded_pattern,1,20,18,4,0.2,0.9,0.875,8,False,False gpt_5_6_sol,0,occluded_pattern,2,20,6,5,0.25,0.3,0.06666666666666667,10,False,False gpt_5_6_sol,0,occluded_pattern,3,20,14,9,0.45,0.7,0.45454545454545453,circle,False,False gpt_5_6_sol,0,occluded_pattern,4,20,6,6,0.3,0.3,0.0,2,False,False gpt_5_6_sol,0,occluded_pattern,5,20,2,5,0.25,0.1,-0.2,11,False,False gpt_5_6_sol,0,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gpt_5_6_sol,0,optical_illusion,2,20,14,12,0.6,0.7,0.25,B,False,False gpt_5_6_sol,0,optical_illusion,3,20,14,9,0.45,0.7,0.45454545454545453,equal,False,False gpt_5_6_sol,0,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False gpt_5_6_sol,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gpt_5_6_sol,0,orthographic,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False gpt_5_6_sol,0,orthographic,2,20,7,5,0.25,0.35,0.13333333333333333,9,False,False gpt_5_6_sol,0,orthographic,3,20,15,5,0.25,0.75,0.6666666666666666,front,False,False gpt_5_6_sol,0,orthographic,4,20,9,8,0.4,0.45,0.08333333333333333,not unique,False,False gpt_5_6_sol,0,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gpt_5_6_sol,0,overlap_circles,1,20,9,5,0.25,0.45,0.26666666666666666,10,False,False gpt_5_6_sol,0,overlap_circles,2,20,12,11,0.55,0.6,0.1111111111111111,no,False,False gpt_5_6_sol,0,overlap_circles,3,20,5,3,0.15,0.25,0.11764705882352941,1.8,False,False gpt_5_6_sol,0,overlap_circles,4,20,6,6,0.3,0.3,0.0,0,False,False gpt_5_6_sol,0,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False gpt_5_6_sol,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gpt_5_6_sol,0,physical_stability,2,20,20,11,0.55,1.0,1.0,right,False,False gpt_5_6_sol,0,physical_stability,3,20,13,10,0.5,0.65,0.3,D,False,False gpt_5_6_sol,0,physical_stability,4,20,7,8,0.4,0.35,-0.08333333333333333,stable,False,False gpt_5_6_sol,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gpt_5_6_sol,0,polyhedron,1,20,7,8,0.4,0.35,-0.08333333333333333,14,False,False gpt_5_6_sol,0,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False gpt_5_6_sol,0,polyhedron,3,20,6,7,0.35,0.3,-0.07692307692307693,mixed,False,False gpt_5_6_sol,0,polyhedron,4,20,14,6,0.3,0.7,0.5714285714285714,no,False,False gpt_5_6_sol,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gpt_5_6_sol,0,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False gpt_5_6_sol,0,projectile_motion,2,20,16,11,0.55,0.8,0.5555555555555556,yes,False,False gpt_5_6_sol,0,projectile_motion,3,20,2,1,0.05,0.1,0.05263157894736842,13.4,False,False gpt_5_6_sol,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gpt_5_6_sol,0,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False gpt_5_6_sol,0,rotation_matching,1,20,16,8,0.4,0.8,0.6666666666666666,7,False,False gpt_5_6_sol,0,rotation_matching,2,20,3,6,0.3,0.15,-0.21428571428571427,B,False,False gpt_5_6_sol,0,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False gpt_5_6_sol,0,rotation_matching,4,20,6,7,0.35,0.3,-0.07692307692307693,A,False,False gpt_5_6_sol,0,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gpt_5_6_sol,0,route,1,20,14,6,0.3,0.7,0.5714285714285714,6,False,False gpt_5_6_sol,0,route,2,20,3,11,0.55,0.15,-0.8888888888888888,1,False,False gpt_5_6_sol,0,route,3,20,8,5,0.25,0.4,0.2,4,False,False gpt_5_6_sol,0,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gpt_5_6_sol,0,route,5,20,5,6,0.3,0.25,-0.07142857142857142,4,False,False gpt_5_6_sol,0,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gpt_5_6_sol,0,rpm,2,20,19,4,0.2,0.95,0.9375,1,False,False gpt_5_6_sol,0,rpm,3,20,14,5,0.25,0.7,0.6,correct shape but wrong color,False,False gpt_5_6_sol,0,rpm,4,20,4,5,0.25,0.2,-0.06666666666666667,8,False,False gpt_5_6_sol,0,rpm,5,20,7,11,0.55,0.35,-0.4444444444444444,9,False,False gpt_5_6_sol,0,shadow_inference,1,20,19,10,0.5,0.95,0.9,2,False,False gpt_5_6_sol,0,shadow_inference,2,20,14,7,0.35,0.7,0.5384615384615384,right,False,False gpt_5_6_sol,0,shadow_inference,3,20,14,7,0.35,0.7,0.5384615384615384,low,False,False gpt_5_6_sol,0,shadow_inference,4,20,4,8,0.4,0.2,-0.3333333333333333,same,False,False gpt_5_6_sol,0,shadow_inference,5,20,5,11,0.55,0.25,-0.6666666666666666,same,False,False gpt_5_6_sol,0,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False gpt_5_6_sol,0,surface_topology,2,20,17,18,0.9,0.85,-0.5,orientable,False,False gpt_5_6_sol,0,surface_topology,3,20,7,7,0.35,0.35,0.0,0,False,False gpt_5_6_sol,0,surface_topology,4,20,18,8,0.4,0.9,0.8333333333333334,-4; orientable,False,False gpt_5_6_sol,0,surface_topology,5,20,8,8,0.4,0.4,0.0,-5,False,False gpt_5_6_sol,0,symmetry_pattern,1,20,14,11,0.55,0.7,0.3333333333333333,8,False,False gpt_5_6_sol,0,symmetry_pattern,2,20,17,11,0.55,0.85,0.6666666666666666,broken,False,False gpt_5_6_sol,0,symmetry_pattern,3,20,15,6,0.3,0.75,0.6428571428571429,mirror,False,False gpt_5_6_sol,0,symmetry_pattern,4,20,8,7,0.35,0.4,0.07692307692307693,8,False,False gpt_5_6_sol,0,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False gpt_5_6_sol,15,angle_estimation,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False gpt_5_6_sol,15,angle_estimation,2,20,13,4,0.2,0.65,0.5625,Angle 2,False,False gpt_5_6_sol,15,angle_estimation,3,20,12,6,0.3,0.6,0.42857142857142855,greater than,False,False gpt_5_6_sol,15,angle_estimation,4,20,5,4,0.2,0.25,0.0625,180,False,False gpt_5_6_sol,15,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False gpt_5_6_sol,15,clock_reading,1,20,17,4,0.2,0.85,0.8125,10,False,False gpt_5_6_sol,15,clock_reading,2,20,16,10,0.5,0.8,0.6,after,False,False gpt_5_6_sol,15,clock_reading,3,20,15,1,0.05,0.75,0.7368421052631579,02:15,False,False gpt_5_6_sol,15,clock_reading,4,20,1,1,0.05,0.05,0.0,123,False,False gpt_5_6_sol,15,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False gpt_5_6_sol,15,combination,1,20,9,7,0.35,0.45,0.15384615384615385,10,False,False gpt_5_6_sol,15,combination,2,20,8,13,0.65,0.4,-0.7142857142857143,C,False,False gpt_5_6_sol,15,combination,3,20,14,8,0.4,0.7,0.5,yes,False,False gpt_5_6_sol,15,combination,4,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False gpt_5_6_sol,15,combination,5,20,18,14,0.7,0.9,0.6666666666666666,connected,False,False gpt_5_6_sol,15,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False gpt_5_6_sol,15,combination3d,2,20,12,7,0.35,0.6,0.38461538461538464,B,False,False gpt_5_6_sol,15,combination3d,3,20,16,10,0.5,0.8,0.6,yes,False,False gpt_5_6_sol,15,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False gpt_5_6_sol,15,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False gpt_5_6_sol,15,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gpt_5_6_sol,15,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False gpt_5_6_sol,15,compass_bearing,3,20,7,2,0.1,0.35,0.2777777777777778,020,False,False gpt_5_6_sol,15,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False gpt_5_6_sol,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gpt_5_6_sol,15,coordinate_geometry,1,20,20,2,0.1,1.0,1.0,"(-6, -2)",False,False gpt_5_6_sol,15,coordinate_geometry,2,20,13,3,0.15,0.65,0.5882352941176471,4.47,False,False gpt_5_6_sol,15,coordinate_geometry,3,20,15,5,0.25,0.75,0.6666666666666666,A and B,False,False gpt_5_6_sol,15,coordinate_geometry,4,20,17,6,0.3,0.85,0.7857142857142857,less than,False,False gpt_5_6_sol,15,coordinate_geometry,5,20,4,3,0.15,0.2,0.058823529411764705,3.16,False,False gpt_5_6_sol,15,cube_net,1,20,18,20,1.0,0.9,,6,True,False gpt_5_6_sol,15,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False gpt_5_6_sol,15,cube_net,3,20,11,4,0.2,0.55,0.4375,2,False,False gpt_5_6_sol,15,cube_net,4,20,17,11,0.55,0.85,0.6666666666666666,adjacent,False,False gpt_5_6_sol,15,cube_net,5,20,18,18,0.9,0.9,0.0,no,False,False gpt_5_6_sol,15,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False gpt_5_6_sol,15,cube_structure,2,20,1,4,0.2,0.05,-0.1875,10,False,False gpt_5_6_sol,15,cube_structure,3,20,13,10,0.5,0.65,0.3,1,False,False gpt_5_6_sol,15,cube_structure,4,20,12,8,0.4,0.6,0.3333333333333333,2,False,False gpt_5_6_sol,15,cube_structure,5,20,2,8,0.4,0.1,-0.5,2,False,False gpt_5_6_sol,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gpt_5_6_sol,15,depth_height,2,20,6,6,0.3,0.3,0.0,magenta,False,False gpt_5_6_sol,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gpt_5_6_sol,15,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False gpt_5_6_sol,15,depth_height,5,20,16,11,0.55,0.8,0.5555555555555556,smaller,False,False gpt_5_6_sol,15,embedded_figures,1,20,0,6,0.3,0.0,-0.42857142857142855,13,False,False gpt_5_6_sol,15,embedded_figures,2,20,10,10,0.5,0.5,0.0,6,False,False gpt_5_6_sol,15,embedded_figures,3,20,5,10,0.5,0.25,-0.5,D,False,False gpt_5_6_sol,15,embedded_figures,4,20,4,7,0.35,0.2,-0.23076923076923078,6,False,False gpt_5_6_sol,15,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gpt_5_6_sol,15,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False gpt_5_6_sol,15,fbd,2,20,13,5,0.25,0.65,0.5333333333333333,N,False,False gpt_5_6_sol,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gpt_5_6_sol,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gpt_5_6_sol,15,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False gpt_5_6_sol,15,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gpt_5_6_sol,15,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False gpt_5_6_sol,15,fold_punch,3,20,7,7,0.35,0.35,0.0,B,False,False gpt_5_6_sol,15,fold_punch,4,20,14,7,0.35,0.7,0.5384615384615384,exactly half,False,False gpt_5_6_sol,15,fold_punch,5,20,18,10,0.5,0.9,0.8,16,False,False gpt_5_6_sol,15,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gpt_5_6_sol,15,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False gpt_5_6_sol,15,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False gpt_5_6_sol,15,gauge_reading,4,20,5,14,0.7,0.25,-1.5,no danger zone marked,False,False gpt_5_6_sol,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gpt_5_6_sol,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gpt_5_6_sol,15,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gpt_5_6_sol,15,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False gpt_5_6_sol,15,gear_train,4,20,15,1,0.05,0.75,0.7368421052631579,101.8,False,False gpt_5_6_sol,15,gear_train,5,20,6,8,0.4,0.3,-0.16666666666666666,decrease; direction unchanged,False,False gpt_5_6_sol,15,hex_pathfinding,1,20,4,3,0.15,0.2,0.058823529411764705,5,False,False gpt_5_6_sol,15,hex_pathfinding,2,20,20,11,0.55,1.0,1.0,walkable,False,False gpt_5_6_sol,15,hex_pathfinding,3,20,2,6,0.3,0.1,-0.2857142857142857,5,False,False gpt_5_6_sol,15,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gpt_5_6_sol,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gpt_5_6_sol,15,impossible_object,1,20,15,11,0.55,0.75,0.4444444444444444,5,False,False gpt_5_6_sol,15,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False gpt_5_6_sol,15,impossible_object,3,20,1,7,0.35,0.05,-0.46153846153846156,C,False,False gpt_5_6_sol,15,impossible_object,4,20,0,8,0.4,0.0,-0.6666666666666666,6,False,False gpt_5_6_sol,15,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False gpt_5_6_sol,15,laser_mirror,1,20,16,9,0.45,0.8,0.6363636363636364,3,False,False gpt_5_6_sol,15,laser_mirror,2,20,15,14,0.7,0.75,0.16666666666666666,yes,False,False gpt_5_6_sol,15,laser_mirror,3,20,0,8,0.4,0.0,-0.6666666666666666,1,False,False gpt_5_6_sol,15,laser_mirror,4,20,1,2,0.1,0.05,-0.05555555555555555,"bottom, position 3",False,False gpt_5_6_sol,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gpt_5_6_sol,15,line_intersection,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False gpt_5_6_sol,15,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False gpt_5_6_sol,15,line_intersection,3,20,19,5,0.25,0.95,0.9333333333333333,left,False,False gpt_5_6_sol,15,line_intersection,4,20,17,4,0.2,0.85,0.8125,"0,0",False,False gpt_5_6_sol,15,line_intersection,5,20,16,10,0.5,0.8,0.6,0,False,False gpt_5_6_sol,15,nested_hexagons,1,20,13,5,0.25,0.65,0.5333333333333333,4,False,False gpt_5_6_sol,15,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False gpt_5_6_sol,15,nested_hexagons,3,20,2,2,0.1,0.1,0.0,4.0,False,False gpt_5_6_sol,15,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False gpt_5_6_sol,15,nested_hexagons,5,20,17,10,0.5,0.85,0.7,no,False,False gpt_5_6_sol,15,nested_squares,1,20,12,4,0.2,0.6,0.5,5,False,False gpt_5_6_sol,15,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False gpt_5_6_sol,15,nested_squares,3,20,1,2,0.1,0.05,-0.05555555555555555,5.3,False,False gpt_5_6_sol,15,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False gpt_5_6_sol,15,nested_squares,5,20,17,12,0.6,0.85,0.625,yes,False,False gpt_5_6_sol,15,nested_triangles,1,20,11,6,0.3,0.55,0.35714285714285715,4,False,False gpt_5_6_sol,15,nested_triangles,2,20,9,13,0.65,0.45,-0.5714285714285714,constant,False,False gpt_5_6_sol,15,nested_triangles,3,20,2,2,0.1,0.1,0.0,4.1,False,False gpt_5_6_sol,15,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False gpt_5_6_sol,15,nested_triangles,5,20,17,12,0.6,0.85,0.625,yes,False,False gpt_5_6_sol,15,occluded_pattern,1,20,18,4,0.2,0.9,0.875,8,False,False gpt_5_6_sol,15,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False gpt_5_6_sol,15,occluded_pattern,3,20,13,9,0.45,0.65,0.36363636363636365,circle,False,False gpt_5_6_sol,15,occluded_pattern,4,20,6,6,0.3,0.3,0.0,2,False,False gpt_5_6_sol,15,occluded_pattern,5,20,3,5,0.25,0.15,-0.13333333333333333,11,False,False gpt_5_6_sol,15,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gpt_5_6_sol,15,optical_illusion,2,20,13,12,0.6,0.65,0.125,B,False,False gpt_5_6_sol,15,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False gpt_5_6_sol,15,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False gpt_5_6_sol,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gpt_5_6_sol,15,orthographic,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False gpt_5_6_sol,15,orthographic,2,20,3,5,0.25,0.15,-0.13333333333333333,9,False,False gpt_5_6_sol,15,orthographic,3,20,16,5,0.25,0.8,0.7333333333333333,front,False,False gpt_5_6_sol,15,orthographic,4,20,10,8,0.4,0.5,0.16666666666666666,not unique,False,False gpt_5_6_sol,15,orthographic,5,20,2,20,1.0,0.1,,front and side,True,False gpt_5_6_sol,15,overlap_circles,1,20,11,5,0.25,0.55,0.4,10,False,False gpt_5_6_sol,15,overlap_circles,2,20,14,11,0.55,0.7,0.3333333333333333,no,False,False gpt_5_6_sol,15,overlap_circles,3,20,6,3,0.15,0.3,0.17647058823529413,1.8,False,False gpt_5_6_sol,15,overlap_circles,4,20,8,6,0.3,0.4,0.14285714285714285,0,False,False gpt_5_6_sol,15,overlap_circles,5,20,3,4,0.2,0.15,-0.0625,17,False,False gpt_5_6_sol,15,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gpt_5_6_sol,15,physical_stability,2,20,20,11,0.55,1.0,1.0,right,False,False gpt_5_6_sol,15,physical_stability,3,20,15,10,0.5,0.75,0.5,D,False,False gpt_5_6_sol,15,physical_stability,4,20,7,8,0.4,0.35,-0.08333333333333333,stable,False,False gpt_5_6_sol,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gpt_5_6_sol,15,polyhedron,1,20,4,8,0.4,0.2,-0.3333333333333333,14,False,False gpt_5_6_sol,15,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False gpt_5_6_sol,15,polyhedron,3,20,6,7,0.35,0.3,-0.07692307692307693,mixed,False,False gpt_5_6_sol,15,polyhedron,4,20,13,6,0.3,0.65,0.5,no,False,False gpt_5_6_sol,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gpt_5_6_sol,15,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False gpt_5_6_sol,15,projectile_motion,2,20,19,11,0.55,0.95,0.8888888888888888,yes,False,False gpt_5_6_sol,15,projectile_motion,3,20,3,1,0.05,0.15,0.10526315789473684,13.4,False,False gpt_5_6_sol,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gpt_5_6_sol,15,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False gpt_5_6_sol,15,rotation_matching,1,20,18,8,0.4,0.9,0.8333333333333334,7,False,False gpt_5_6_sol,15,rotation_matching,2,20,8,6,0.3,0.4,0.14285714285714285,B,False,False gpt_5_6_sol,15,rotation_matching,3,20,2,4,0.2,0.1,-0.125,315,False,False gpt_5_6_sol,15,rotation_matching,4,20,5,7,0.35,0.25,-0.15384615384615385,A,False,False gpt_5_6_sol,15,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gpt_5_6_sol,15,route,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False gpt_5_6_sol,15,route,2,20,5,11,0.55,0.25,-0.6666666666666666,1,False,False gpt_5_6_sol,15,route,3,20,5,5,0.25,0.25,0.0,4,False,False gpt_5_6_sol,15,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gpt_5_6_sol,15,route,5,20,5,6,0.3,0.25,-0.07142857142857142,4,False,False gpt_5_6_sol,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gpt_5_6_sol,15,rpm,2,20,16,4,0.2,0.8,0.75,1,False,False gpt_5_6_sol,15,rpm,3,20,14,5,0.25,0.7,0.6,correct shape but wrong color,False,False gpt_5_6_sol,15,rpm,4,20,5,5,0.25,0.25,0.0,8,False,False gpt_5_6_sol,15,rpm,5,20,7,11,0.55,0.35,-0.4444444444444444,9,False,False gpt_5_6_sol,15,shadow_inference,1,20,19,10,0.5,0.95,0.9,2,False,False gpt_5_6_sol,15,shadow_inference,2,20,7,7,0.35,0.35,0.0,right,False,False gpt_5_6_sol,15,shadow_inference,3,20,10,7,0.35,0.5,0.23076923076923078,low,False,False gpt_5_6_sol,15,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False gpt_5_6_sol,15,shadow_inference,5,20,6,11,0.55,0.3,-0.5555555555555556,same,False,False gpt_5_6_sol,15,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False gpt_5_6_sol,15,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False gpt_5_6_sol,15,surface_topology,3,20,10,7,0.35,0.5,0.23076923076923078,0,False,False gpt_5_6_sol,15,surface_topology,4,20,19,8,0.4,0.95,0.9166666666666666,-4; orientable,False,False gpt_5_6_sol,15,surface_topology,5,20,10,8,0.4,0.5,0.16666666666666666,-5,False,False gpt_5_6_sol,15,symmetry_pattern,1,20,14,11,0.55,0.7,0.3333333333333333,8,False,False gpt_5_6_sol,15,symmetry_pattern,2,20,16,11,0.55,0.8,0.5555555555555556,broken,False,False gpt_5_6_sol,15,symmetry_pattern,3,20,14,6,0.3,0.7,0.5714285714285714,mirror,False,False gpt_5_6_sol,15,symmetry_pattern,4,20,6,7,0.35,0.3,-0.07692307692307693,8,False,False gpt_5_6_sol,15,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False gpt_5_6_sol,25,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False gpt_5_6_sol,25,angle_estimation,2,20,13,4,0.2,0.65,0.5625,Angle 2,False,False gpt_5_6_sol,25,angle_estimation,3,20,10,6,0.3,0.5,0.2857142857142857,greater than,False,False gpt_5_6_sol,25,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False gpt_5_6_sol,25,angle_estimation,5,20,5,6,0.3,0.25,-0.07142857142857142,exceeds 180,False,False gpt_5_6_sol,25,clock_reading,1,20,19,4,0.2,0.95,0.9375,10,False,False gpt_5_6_sol,25,clock_reading,2,20,15,10,0.5,0.75,0.5,after,False,False gpt_5_6_sol,25,clock_reading,3,20,16,1,0.05,0.8,0.7894736842105263,02:15,False,False gpt_5_6_sol,25,clock_reading,4,20,3,1,0.05,0.15,0.10526315789473684,123,False,False gpt_5_6_sol,25,clock_reading,5,20,1,1,0.05,0.05,0.0,104,False,False gpt_5_6_sol,25,combination,1,20,11,7,0.35,0.55,0.3076923076923077,10,False,False gpt_5_6_sol,25,combination,2,20,15,13,0.65,0.75,0.2857142857142857,C,False,False gpt_5_6_sol,25,combination,3,20,14,8,0.4,0.7,0.5,yes,False,False gpt_5_6_sol,25,combination,4,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False gpt_5_6_sol,25,combination,5,20,18,14,0.7,0.9,0.6666666666666666,connected,False,False gpt_5_6_sol,25,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False gpt_5_6_sol,25,combination3d,2,20,11,7,0.35,0.55,0.3076923076923077,B,False,False gpt_5_6_sol,25,combination3d,3,20,16,10,0.5,0.8,0.6,yes,False,False gpt_5_6_sol,25,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False gpt_5_6_sol,25,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False gpt_5_6_sol,25,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gpt_5_6_sol,25,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False gpt_5_6_sol,25,compass_bearing,3,20,8,2,0.1,0.4,0.3333333333333333,020,False,False gpt_5_6_sol,25,compass_bearing,4,20,1,1,0.05,0.05,0.0,12 degrees counterclockwise,False,False gpt_5_6_sol,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gpt_5_6_sol,25,coordinate_geometry,1,20,20,2,0.1,1.0,1.0,"(-6, -2)",False,False gpt_5_6_sol,25,coordinate_geometry,2,20,9,3,0.15,0.45,0.35294117647058826,4.47,False,False gpt_5_6_sol,25,coordinate_geometry,3,20,13,5,0.25,0.65,0.5333333333333333,A and B,False,False gpt_5_6_sol,25,coordinate_geometry,4,20,16,6,0.3,0.8,0.7142857142857143,less than,False,False gpt_5_6_sol,25,coordinate_geometry,5,20,2,3,0.15,0.1,-0.058823529411764705,3.16,False,False gpt_5_6_sol,25,cube_net,1,20,20,20,1.0,1.0,,6,True,False gpt_5_6_sol,25,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False gpt_5_6_sol,25,cube_net,3,20,11,4,0.2,0.55,0.4375,2,False,False gpt_5_6_sol,25,cube_net,4,20,15,11,0.55,0.75,0.4444444444444444,adjacent,False,False gpt_5_6_sol,25,cube_net,5,20,18,18,0.9,0.9,0.0,no,False,False gpt_5_6_sol,25,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False gpt_5_6_sol,25,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False gpt_5_6_sol,25,cube_structure,3,20,11,10,0.5,0.55,0.1,1,False,False gpt_5_6_sol,25,cube_structure,4,20,9,8,0.4,0.45,0.08333333333333333,2,False,False gpt_5_6_sol,25,cube_structure,5,20,0,8,0.4,0.0,-0.6666666666666666,2,False,False gpt_5_6_sol,25,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gpt_5_6_sol,25,depth_height,2,20,6,6,0.3,0.3,0.0,magenta,False,False gpt_5_6_sol,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gpt_5_6_sol,25,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False gpt_5_6_sol,25,depth_height,5,20,17,11,0.55,0.85,0.6666666666666666,smaller,False,False gpt_5_6_sol,25,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False gpt_5_6_sol,25,embedded_figures,2,20,8,10,0.5,0.4,-0.2,6,False,False gpt_5_6_sol,25,embedded_figures,3,20,7,10,0.5,0.35,-0.3,D,False,False gpt_5_6_sol,25,embedded_figures,4,20,4,7,0.35,0.2,-0.23076923076923078,6,False,False gpt_5_6_sol,25,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gpt_5_6_sol,25,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False gpt_5_6_sol,25,fbd,2,20,10,5,0.25,0.5,0.3333333333333333,N,False,False gpt_5_6_sol,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gpt_5_6_sol,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gpt_5_6_sol,25,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False gpt_5_6_sol,25,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False gpt_5_6_sol,25,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False gpt_5_6_sol,25,fold_punch,3,20,3,7,0.35,0.15,-0.3076923076923077,B,False,False gpt_5_6_sol,25,fold_punch,4,20,12,7,0.35,0.6,0.38461538461538464,exactly half,False,False gpt_5_6_sol,25,fold_punch,5,20,19,10,0.5,0.95,0.9,16,False,False gpt_5_6_sol,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gpt_5_6_sol,25,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False gpt_5_6_sol,25,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False gpt_5_6_sol,25,gauge_reading,4,20,5,14,0.7,0.25,-1.5,no danger zone marked,False,False gpt_5_6_sol,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gpt_5_6_sol,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gpt_5_6_sol,25,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gpt_5_6_sol,25,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False gpt_5_6_sol,25,gear_train,4,20,15,1,0.05,0.75,0.7368421052631579,101.8,False,False gpt_5_6_sol,25,gear_train,5,20,6,8,0.4,0.3,-0.16666666666666666,decrease; direction unchanged,False,False gpt_5_6_sol,25,hex_pathfinding,1,20,6,3,0.15,0.3,0.17647058823529413,5,False,False gpt_5_6_sol,25,hex_pathfinding,2,20,19,11,0.55,0.95,0.8888888888888888,walkable,False,False gpt_5_6_sol,25,hex_pathfinding,3,20,8,6,0.3,0.4,0.14285714285714285,5,False,False gpt_5_6_sol,25,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gpt_5_6_sol,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gpt_5_6_sol,25,impossible_object,1,20,14,11,0.55,0.7,0.3333333333333333,5,False,False gpt_5_6_sol,25,impossible_object,2,20,6,16,0.8,0.3,-2.5,yes,False,False gpt_5_6_sol,25,impossible_object,3,20,6,7,0.35,0.3,-0.07692307692307693,C,False,False gpt_5_6_sol,25,impossible_object,4,20,0,8,0.4,0.0,-0.6666666666666666,6,False,False gpt_5_6_sol,25,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False gpt_5_6_sol,25,laser_mirror,1,20,16,9,0.45,0.8,0.6363636363636364,3,False,False gpt_5_6_sol,25,laser_mirror,2,20,16,14,0.7,0.8,0.3333333333333333,yes,False,False gpt_5_6_sol,25,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False gpt_5_6_sol,25,laser_mirror,4,20,2,2,0.1,0.1,0.0,"bottom, position 3",False,False gpt_5_6_sol,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gpt_5_6_sol,25,line_intersection,1,20,16,7,0.35,0.8,0.6923076923076923,2,False,False gpt_5_6_sol,25,line_intersection,2,20,19,7,0.35,0.95,0.9230769230769231,0,False,False gpt_5_6_sol,25,line_intersection,3,20,20,5,0.25,1.0,1.0,left,False,False gpt_5_6_sol,25,line_intersection,4,20,18,4,0.2,0.9,0.875,"0,0",False,False gpt_5_6_sol,25,line_intersection,5,20,18,10,0.5,0.9,0.8,0,False,False gpt_5_6_sol,25,nested_hexagons,1,20,15,5,0.25,0.75,0.6666666666666666,4,False,False gpt_5_6_sol,25,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False gpt_5_6_sol,25,nested_hexagons,3,20,1,2,0.1,0.05,-0.05555555555555555,4.0,False,False gpt_5_6_sol,25,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False gpt_5_6_sol,25,nested_hexagons,5,20,16,10,0.5,0.8,0.6,no,False,False gpt_5_6_sol,25,nested_squares,1,20,13,4,0.2,0.65,0.5625,5,False,False gpt_5_6_sol,25,nested_squares,2,20,8,11,0.55,0.4,-0.3333333333333333,changing,False,False gpt_5_6_sol,25,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False gpt_5_6_sol,25,nested_squares,4,20,1,3,0.15,0.05,-0.11764705882352941,0,False,False gpt_5_6_sol,25,nested_squares,5,20,18,12,0.6,0.9,0.75,yes,False,False gpt_5_6_sol,25,nested_triangles,1,20,9,6,0.3,0.45,0.21428571428571427,4,False,False gpt_5_6_sol,25,nested_triangles,2,20,9,13,0.65,0.45,-0.5714285714285714,constant,False,False gpt_5_6_sol,25,nested_triangles,3,20,1,2,0.1,0.05,-0.05555555555555555,4.1,False,False gpt_5_6_sol,25,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False gpt_5_6_sol,25,nested_triangles,5,20,17,12,0.6,0.85,0.625,yes,False,False gpt_5_6_sol,25,occluded_pattern,1,20,18,4,0.2,0.9,0.875,8,False,False gpt_5_6_sol,25,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False gpt_5_6_sol,25,occluded_pattern,3,20,14,9,0.45,0.7,0.45454545454545453,circle,False,False gpt_5_6_sol,25,occluded_pattern,4,20,4,6,0.3,0.2,-0.14285714285714285,2,False,False gpt_5_6_sol,25,occluded_pattern,5,20,0,5,0.25,0.0,-0.3333333333333333,11,False,False gpt_5_6_sol,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gpt_5_6_sol,25,optical_illusion,2,20,11,12,0.6,0.55,-0.125,B,False,False gpt_5_6_sol,25,optical_illusion,3,20,11,9,0.45,0.55,0.18181818181818182,equal,False,False gpt_5_6_sol,25,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False gpt_5_6_sol,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gpt_5_6_sol,25,orthographic,1,20,13,6,0.3,0.65,0.5,6,False,False gpt_5_6_sol,25,orthographic,2,20,2,5,0.25,0.1,-0.2,9,False,False gpt_5_6_sol,25,orthographic,3,20,16,5,0.25,0.8,0.7333333333333333,front,False,False gpt_5_6_sol,25,orthographic,4,20,10,8,0.4,0.5,0.16666666666666666,not unique,False,False gpt_5_6_sol,25,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gpt_5_6_sol,25,overlap_circles,1,20,11,5,0.25,0.55,0.4,10,False,False gpt_5_6_sol,25,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False gpt_5_6_sol,25,overlap_circles,3,20,7,3,0.15,0.35,0.23529411764705882,1.8,False,False gpt_5_6_sol,25,overlap_circles,4,20,7,6,0.3,0.35,0.07142857142857142,0,False,False gpt_5_6_sol,25,overlap_circles,5,20,5,4,0.2,0.25,0.0625,17,False,False gpt_5_6_sol,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gpt_5_6_sol,25,physical_stability,2,20,20,11,0.55,1.0,1.0,right,False,False gpt_5_6_sol,25,physical_stability,3,20,16,10,0.5,0.8,0.6,D,False,False gpt_5_6_sol,25,physical_stability,4,20,6,8,0.4,0.3,-0.16666666666666666,stable,False,False gpt_5_6_sol,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gpt_5_6_sol,25,polyhedron,1,20,5,8,0.4,0.25,-0.25,14,False,False gpt_5_6_sol,25,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False gpt_5_6_sol,25,polyhedron,3,20,5,7,0.35,0.25,-0.15384615384615385,mixed,False,False gpt_5_6_sol,25,polyhedron,4,20,15,6,0.3,0.75,0.6428571428571429,no,False,False gpt_5_6_sol,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gpt_5_6_sol,25,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False gpt_5_6_sol,25,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False gpt_5_6_sol,25,projectile_motion,3,20,3,1,0.05,0.15,0.10526315789473684,13.4,False,False gpt_5_6_sol,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gpt_5_6_sol,25,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False gpt_5_6_sol,25,rotation_matching,1,20,16,8,0.4,0.8,0.6666666666666666,7,False,False gpt_5_6_sol,25,rotation_matching,2,20,9,6,0.3,0.45,0.21428571428571427,B,False,False gpt_5_6_sol,25,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False gpt_5_6_sol,25,rotation_matching,4,20,5,7,0.35,0.25,-0.15384615384615385,A,False,False gpt_5_6_sol,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gpt_5_6_sol,25,route,1,20,14,6,0.3,0.7,0.5714285714285714,6,False,False gpt_5_6_sol,25,route,2,20,9,11,0.55,0.45,-0.2222222222222222,1,False,False gpt_5_6_sol,25,route,3,20,3,5,0.25,0.15,-0.13333333333333333,4,False,False gpt_5_6_sol,25,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gpt_5_6_sol,25,route,5,20,5,6,0.3,0.25,-0.07142857142857142,4,False,False gpt_5_6_sol,25,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gpt_5_6_sol,25,rpm,2,20,16,4,0.2,0.8,0.75,1,False,False gpt_5_6_sol,25,rpm,3,20,16,5,0.25,0.8,0.7333333333333333,correct shape but wrong color,False,False gpt_5_6_sol,25,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False gpt_5_6_sol,25,rpm,5,20,6,11,0.55,0.3,-0.5555555555555556,9,False,False gpt_5_6_sol,25,shadow_inference,1,20,20,10,0.5,1.0,1.0,2,False,False gpt_5_6_sol,25,shadow_inference,2,20,6,7,0.35,0.3,-0.07692307692307693,right,False,False gpt_5_6_sol,25,shadow_inference,3,20,8,7,0.35,0.4,0.07692307692307693,low,False,False gpt_5_6_sol,25,shadow_inference,4,20,4,8,0.4,0.2,-0.3333333333333333,same,False,False gpt_5_6_sol,25,shadow_inference,5,20,5,11,0.55,0.25,-0.6666666666666666,same,False,False gpt_5_6_sol,25,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False gpt_5_6_sol,25,surface_topology,2,20,17,18,0.9,0.85,-0.5,orientable,False,False gpt_5_6_sol,25,surface_topology,3,20,9,7,0.35,0.45,0.15384615384615385,0,False,False gpt_5_6_sol,25,surface_topology,4,20,19,8,0.4,0.95,0.9166666666666666,-4; orientable,False,False gpt_5_6_sol,25,surface_topology,5,20,10,8,0.4,0.5,0.16666666666666666,-5,False,False gpt_5_6_sol,25,symmetry_pattern,1,20,15,11,0.55,0.75,0.4444444444444444,8,False,False gpt_5_6_sol,25,symmetry_pattern,2,20,16,11,0.55,0.8,0.5555555555555556,broken,False,False gpt_5_6_sol,25,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False gpt_5_6_sol,25,symmetry_pattern,4,20,7,7,0.35,0.35,0.0,8,False,False gpt_5_6_sol,25,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False gpt_5_6_sol,40,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False gpt_5_6_sol,40,angle_estimation,2,20,14,4,0.2,0.7,0.625,Angle 2,False,False gpt_5_6_sol,40,angle_estimation,3,20,14,6,0.3,0.7,0.5714285714285714,greater than,False,False gpt_5_6_sol,40,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False gpt_5_6_sol,40,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False gpt_5_6_sol,40,clock_reading,1,20,18,4,0.2,0.9,0.875,10,False,False gpt_5_6_sol,40,clock_reading,2,20,16,10,0.5,0.8,0.6,after,False,False gpt_5_6_sol,40,clock_reading,3,20,15,1,0.05,0.75,0.7368421052631579,02:15,False,False gpt_5_6_sol,40,clock_reading,4,20,2,1,0.05,0.1,0.05263157894736842,123,False,False gpt_5_6_sol,40,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False gpt_5_6_sol,40,combination,1,20,11,7,0.35,0.55,0.3076923076923077,10,False,False gpt_5_6_sol,40,combination,2,20,11,13,0.65,0.55,-0.2857142857142857,C,False,False gpt_5_6_sol,40,combination,3,20,15,8,0.4,0.75,0.5833333333333334,yes,False,False gpt_5_6_sol,40,combination,4,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False gpt_5_6_sol,40,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False gpt_5_6_sol,40,combination3d,1,20,1,7,0.35,0.05,-0.46153846153846156,14,False,False gpt_5_6_sol,40,combination3d,2,20,10,7,0.35,0.5,0.23076923076923078,B,False,False gpt_5_6_sol,40,combination3d,3,20,12,10,0.5,0.6,0.2,yes,False,False gpt_5_6_sol,40,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False gpt_5_6_sol,40,combination3d,5,20,11,10,0.5,0.55,0.1,"same shape, different angle",False,False gpt_5_6_sol,40,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False gpt_5_6_sol,40,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False gpt_5_6_sol,40,compass_bearing,3,20,10,2,0.1,0.5,0.4444444444444444,020,False,False gpt_5_6_sol,40,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False gpt_5_6_sol,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False gpt_5_6_sol,40,coordinate_geometry,1,20,10,2,0.1,0.5,0.4444444444444444,"(-6, -2)",False,False gpt_5_6_sol,40,coordinate_geometry,2,20,2,3,0.15,0.1,-0.058823529411764705,4.47,False,False gpt_5_6_sol,40,coordinate_geometry,3,20,13,5,0.25,0.65,0.5333333333333333,A and B,False,False gpt_5_6_sol,40,coordinate_geometry,4,20,15,6,0.3,0.75,0.6428571428571429,less than,False,False gpt_5_6_sol,40,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False gpt_5_6_sol,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False gpt_5_6_sol,40,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False gpt_5_6_sol,40,cube_net,3,20,10,4,0.2,0.5,0.375,2,False,False gpt_5_6_sol,40,cube_net,4,20,15,11,0.55,0.75,0.4444444444444444,adjacent,False,False gpt_5_6_sol,40,cube_net,5,20,18,18,0.9,0.9,0.0,no,False,False gpt_5_6_sol,40,cube_structure,1,20,4,6,0.3,0.2,-0.14285714285714285,12,False,False gpt_5_6_sol,40,cube_structure,2,20,1,4,0.2,0.05,-0.1875,10,False,False gpt_5_6_sol,40,cube_structure,3,20,10,10,0.5,0.5,0.0,1,False,False gpt_5_6_sol,40,cube_structure,4,20,7,8,0.4,0.35,-0.08333333333333333,2,False,False gpt_5_6_sol,40,cube_structure,5,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False gpt_5_6_sol,40,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False gpt_5_6_sol,40,depth_height,2,20,6,6,0.3,0.3,0.0,magenta,False,False gpt_5_6_sol,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False gpt_5_6_sol,40,depth_height,4,20,7,2,0.1,0.35,0.2777777777777778,0.77,False,False gpt_5_6_sol,40,depth_height,5,20,17,11,0.55,0.85,0.6666666666666666,smaller,False,False gpt_5_6_sol,40,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False gpt_5_6_sol,40,embedded_figures,2,20,8,10,0.5,0.4,-0.2,6,False,False gpt_5_6_sol,40,embedded_figures,3,20,4,10,0.5,0.2,-0.6,D,False,False gpt_5_6_sol,40,embedded_figures,4,20,4,7,0.35,0.2,-0.23076923076923078,6,False,False gpt_5_6_sol,40,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False gpt_5_6_sol,40,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False gpt_5_6_sol,40,fbd,2,20,8,5,0.25,0.4,0.2,N,False,False gpt_5_6_sol,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False gpt_5_6_sol,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False gpt_5_6_sol,40,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False gpt_5_6_sol,40,fold_punch,1,20,19,12,0.6,0.95,0.875,3,False,False gpt_5_6_sol,40,fold_punch,2,20,19,12,0.6,0.95,0.875,8,False,False gpt_5_6_sol,40,fold_punch,3,20,9,7,0.35,0.45,0.15384615384615385,B,False,False gpt_5_6_sol,40,fold_punch,4,20,11,7,0.35,0.55,0.3076923076923077,exactly half,False,False gpt_5_6_sol,40,fold_punch,5,20,19,10,0.5,0.95,0.9,16,False,False gpt_5_6_sol,40,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False gpt_5_6_sol,40,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False gpt_5_6_sol,40,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False gpt_5_6_sol,40,gauge_reading,4,20,5,14,0.7,0.25,-1.5,no danger zone marked,False,False gpt_5_6_sol,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False gpt_5_6_sol,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False gpt_5_6_sol,40,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False gpt_5_6_sol,40,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False gpt_5_6_sol,40,gear_train,4,20,11,1,0.05,0.55,0.5263157894736842,101.8,False,False gpt_5_6_sol,40,gear_train,5,20,9,8,0.4,0.45,0.08333333333333333,decrease; direction unchanged,False,False gpt_5_6_sol,40,hex_pathfinding,1,20,6,3,0.15,0.3,0.17647058823529413,5,False,False gpt_5_6_sol,40,hex_pathfinding,2,20,20,11,0.55,1.0,1.0,walkable,False,False gpt_5_6_sol,40,hex_pathfinding,3,20,4,6,0.3,0.2,-0.14285714285714285,5,False,False gpt_5_6_sol,40,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False gpt_5_6_sol,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False gpt_5_6_sol,40,impossible_object,1,20,11,11,0.55,0.55,0.0,5,False,False gpt_5_6_sol,40,impossible_object,2,20,5,16,0.8,0.25,-2.75,yes,False,False gpt_5_6_sol,40,impossible_object,3,20,8,7,0.35,0.4,0.07692307692307693,C,False,False gpt_5_6_sol,40,impossible_object,4,20,4,8,0.4,0.2,-0.3333333333333333,6,False,False gpt_5_6_sol,40,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False gpt_5_6_sol,40,laser_mirror,1,20,18,9,0.45,0.9,0.8181818181818182,3,False,False gpt_5_6_sol,40,laser_mirror,2,20,17,14,0.7,0.85,0.5,yes,False,False gpt_5_6_sol,40,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False gpt_5_6_sol,40,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False gpt_5_6_sol,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False gpt_5_6_sol,40,line_intersection,1,20,15,7,0.35,0.75,0.6153846153846154,2,False,False gpt_5_6_sol,40,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False gpt_5_6_sol,40,line_intersection,3,20,20,5,0.25,1.0,1.0,left,False,False gpt_5_6_sol,40,line_intersection,4,20,17,4,0.2,0.85,0.8125,"0,0",False,False gpt_5_6_sol,40,line_intersection,5,20,16,10,0.5,0.8,0.6,0,False,False gpt_5_6_sol,40,nested_hexagons,1,20,13,5,0.25,0.65,0.5333333333333333,4,False,False gpt_5_6_sol,40,nested_hexagons,2,20,15,13,0.65,0.75,0.2857142857142857,constant,False,False gpt_5_6_sol,40,nested_hexagons,3,20,2,2,0.1,0.1,0.0,4.0,False,False gpt_5_6_sol,40,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False gpt_5_6_sol,40,nested_hexagons,5,20,18,10,0.5,0.9,0.8,no,False,False gpt_5_6_sol,40,nested_squares,1,20,10,4,0.2,0.5,0.375,5,False,False gpt_5_6_sol,40,nested_squares,2,20,13,11,0.55,0.65,0.2222222222222222,changing,False,False gpt_5_6_sol,40,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False gpt_5_6_sol,40,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False gpt_5_6_sol,40,nested_squares,5,20,17,12,0.6,0.85,0.625,yes,False,False gpt_5_6_sol,40,nested_triangles,1,20,6,6,0.3,0.3,0.0,4,False,False gpt_5_6_sol,40,nested_triangles,2,20,10,13,0.65,0.5,-0.42857142857142855,constant,False,False gpt_5_6_sol,40,nested_triangles,3,20,2,2,0.1,0.1,0.0,4.1,False,False gpt_5_6_sol,40,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False gpt_5_6_sol,40,nested_triangles,5,20,14,12,0.6,0.7,0.25,yes,False,False gpt_5_6_sol,40,occluded_pattern,1,20,17,4,0.2,0.85,0.8125,8,False,False gpt_5_6_sol,40,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False gpt_5_6_sol,40,occluded_pattern,3,20,14,9,0.45,0.7,0.45454545454545453,circle,False,False gpt_5_6_sol,40,occluded_pattern,4,20,4,6,0.3,0.2,-0.14285714285714285,2,False,False gpt_5_6_sol,40,occluded_pattern,5,20,0,5,0.25,0.0,-0.3333333333333333,11,False,False gpt_5_6_sol,40,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False gpt_5_6_sol,40,optical_illusion,2,20,10,12,0.6,0.5,-0.25,B,False,False gpt_5_6_sol,40,optical_illusion,3,20,11,9,0.45,0.55,0.18181818181818182,equal,False,False gpt_5_6_sol,40,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False gpt_5_6_sol,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False gpt_5_6_sol,40,orthographic,1,20,11,6,0.3,0.55,0.35714285714285715,6,False,False gpt_5_6_sol,40,orthographic,2,20,5,5,0.25,0.25,0.0,9,False,False gpt_5_6_sol,40,orthographic,3,20,16,5,0.25,0.8,0.7333333333333333,front,False,False gpt_5_6_sol,40,orthographic,4,20,9,8,0.4,0.45,0.08333333333333333,not unique,False,False gpt_5_6_sol,40,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False gpt_5_6_sol,40,overlap_circles,1,20,13,5,0.25,0.65,0.5333333333333333,10,False,False gpt_5_6_sol,40,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False gpt_5_6_sol,40,overlap_circles,3,20,6,3,0.15,0.3,0.17647058823529413,1.8,False,False gpt_5_6_sol,40,overlap_circles,4,20,7,6,0.3,0.35,0.07142857142857142,0,False,False gpt_5_6_sol,40,overlap_circles,5,20,4,4,0.2,0.2,0.0,17,False,False gpt_5_6_sol,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False gpt_5_6_sol,40,physical_stability,2,20,20,11,0.55,1.0,1.0,right,False,False gpt_5_6_sol,40,physical_stability,3,20,16,10,0.5,0.8,0.6,D,False,False gpt_5_6_sol,40,physical_stability,4,20,6,8,0.4,0.3,-0.16666666666666666,stable,False,False gpt_5_6_sol,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False gpt_5_6_sol,40,polyhedron,1,20,7,8,0.4,0.35,-0.08333333333333333,14,False,False gpt_5_6_sol,40,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False gpt_5_6_sol,40,polyhedron,3,20,6,7,0.35,0.3,-0.07692307692307693,mixed,False,False gpt_5_6_sol,40,polyhedron,4,20,14,6,0.3,0.7,0.5714285714285714,no,False,False gpt_5_6_sol,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False gpt_5_6_sol,40,projectile_motion,1,20,18,3,0.15,0.9,0.8823529411764706,68,False,False gpt_5_6_sol,40,projectile_motion,2,20,17,11,0.55,0.85,0.6666666666666666,yes,False,False gpt_5_6_sol,40,projectile_motion,3,20,3,1,0.05,0.15,0.10526315789473684,13.4,False,False gpt_5_6_sol,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False gpt_5_6_sol,40,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False gpt_5_6_sol,40,rotation_matching,1,20,16,8,0.4,0.8,0.6666666666666666,7,False,False gpt_5_6_sol,40,rotation_matching,2,20,3,6,0.3,0.15,-0.21428571428571427,B,False,False gpt_5_6_sol,40,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False gpt_5_6_sol,40,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False gpt_5_6_sol,40,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False gpt_5_6_sol,40,route,1,20,13,6,0.3,0.65,0.5,6,False,False gpt_5_6_sol,40,route,2,20,4,11,0.55,0.2,-0.7777777777777778,1,False,False gpt_5_6_sol,40,route,3,20,6,5,0.25,0.3,0.06666666666666667,4,False,False gpt_5_6_sol,40,route,4,20,1,1,0.05,0.05,0.0,AC,False,False gpt_5_6_sol,40,route,5,20,4,6,0.3,0.2,-0.14285714285714285,4,False,False gpt_5_6_sol,40,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False gpt_5_6_sol,40,rpm,2,20,15,4,0.2,0.75,0.6875,1,False,False gpt_5_6_sol,40,rpm,3,20,14,5,0.25,0.7,0.6,correct shape but wrong color,False,False gpt_5_6_sol,40,rpm,4,20,4,5,0.25,0.2,-0.06666666666666667,8,False,False gpt_5_6_sol,40,rpm,5,20,8,11,0.55,0.4,-0.3333333333333333,9,False,False gpt_5_6_sol,40,shadow_inference,1,20,20,10,0.5,1.0,1.0,2,False,False gpt_5_6_sol,40,shadow_inference,2,20,8,7,0.35,0.4,0.07692307692307693,right,False,False gpt_5_6_sol,40,shadow_inference,3,20,9,7,0.35,0.45,0.15384615384615385,low,False,False gpt_5_6_sol,40,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False gpt_5_6_sol,40,shadow_inference,5,20,5,11,0.55,0.25,-0.6666666666666666,same,False,False gpt_5_6_sol,40,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False gpt_5_6_sol,40,surface_topology,2,20,18,18,0.9,0.9,0.0,orientable,False,False gpt_5_6_sol,40,surface_topology,3,20,9,7,0.35,0.45,0.15384615384615385,0,False,False gpt_5_6_sol,40,surface_topology,4,20,19,8,0.4,0.95,0.9166666666666666,-4; orientable,False,False gpt_5_6_sol,40,surface_topology,5,20,10,8,0.4,0.5,0.16666666666666666,-5,False,False gpt_5_6_sol,40,symmetry_pattern,1,20,15,11,0.55,0.75,0.4444444444444444,8,False,False gpt_5_6_sol,40,symmetry_pattern,2,20,16,11,0.55,0.8,0.5555555555555556,broken,False,False gpt_5_6_sol,40,symmetry_pattern,3,20,13,6,0.3,0.65,0.5,mirror,False,False gpt_5_6_sol,40,symmetry_pattern,4,20,6,7,0.35,0.3,-0.07692307692307693,8,False,False gpt_5_6_sol,40,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False grok_4_6,0,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False grok_4_6,0,angle_estimation,2,20,14,4,0.2,0.7,0.625,Angle 2,False,False grok_4_6,0,angle_estimation,3,20,13,6,0.3,0.65,0.5,greater than,False,False grok_4_6,0,angle_estimation,4,20,5,4,0.2,0.25,0.0625,180,False,False grok_4_6,0,angle_estimation,5,20,7,6,0.3,0.35,0.07142857142857142,exceeds 180,False,False grok_4_6,0,clock_reading,1,20,16,4,0.2,0.8,0.75,10,False,False grok_4_6,0,clock_reading,2,20,17,10,0.5,0.85,0.7,after,False,False grok_4_6,0,clock_reading,3,20,3,1,0.05,0.15,0.10526315789473684,02:15,False,False grok_4_6,0,clock_reading,4,20,6,1,0.05,0.3,0.2631578947368421,123,False,False grok_4_6,0,clock_reading,5,20,8,1,0.05,0.4,0.3684210526315789,104,False,False grok_4_6,0,combination,1,20,3,7,0.35,0.15,-0.3076923076923077,10,False,False grok_4_6,0,combination,2,20,11,13,0.65,0.55,-0.2857142857142857,C,False,False grok_4_6,0,combination,3,20,17,8,0.4,0.85,0.75,yes,False,False grok_4_6,0,combination,4,20,7,7,0.35,0.35,0.0,B,False,False grok_4_6,0,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False grok_4_6,0,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False grok_4_6,0,combination3d,2,20,11,7,0.35,0.55,0.3076923076923077,B,False,False grok_4_6,0,combination3d,3,20,12,10,0.5,0.6,0.2,yes,False,False grok_4_6,0,combination3d,4,20,1,5,0.25,0.05,-0.26666666666666666,D,False,False grok_4_6,0,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False grok_4_6,0,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False grok_4_6,0,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False grok_4_6,0,compass_bearing,3,20,12,2,0.1,0.6,0.5555555555555556,020,False,False grok_4_6,0,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False grok_4_6,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False grok_4_6,0,coordinate_geometry,1,20,18,2,0.1,0.9,0.8888888888888888,"(-6, -2)",False,False grok_4_6,0,coordinate_geometry,2,20,19,3,0.15,0.95,0.9411764705882353,4.47,False,False grok_4_6,0,coordinate_geometry,3,20,8,5,0.25,0.4,0.2,A and B,False,False grok_4_6,0,coordinate_geometry,4,20,20,6,0.3,1.0,1.0,less than,False,False grok_4_6,0,coordinate_geometry,5,20,17,3,0.15,0.85,0.8235294117647058,3.16,False,False grok_4_6,0,cube_net,1,20,20,20,1.0,1.0,,6,True,False grok_4_6,0,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False grok_4_6,0,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False grok_4_6,0,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False grok_4_6,0,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False grok_4_6,0,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False grok_4_6,0,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False grok_4_6,0,cube_structure,3,20,18,10,0.5,0.9,0.8,1,False,False grok_4_6,0,cube_structure,4,20,5,8,0.4,0.25,-0.25,2,False,False grok_4_6,0,cube_structure,5,20,10,8,0.4,0.5,0.16666666666666666,2,False,False grok_4_6,0,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False grok_4_6,0,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False grok_4_6,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False grok_4_6,0,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False grok_4_6,0,depth_height,5,20,16,11,0.55,0.8,0.5555555555555556,smaller,False,False grok_4_6,0,embedded_figures,1,20,3,6,0.3,0.15,-0.21428571428571427,13,False,False grok_4_6,0,embedded_figures,2,20,9,10,0.5,0.45,-0.1,6,False,False grok_4_6,0,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False grok_4_6,0,embedded_figures,4,20,9,7,0.35,0.45,0.15384615384615385,6,False,False grok_4_6,0,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False grok_4_6,0,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False grok_4_6,0,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False grok_4_6,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False grok_4_6,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False grok_4_6,0,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False grok_4_6,0,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False grok_4_6,0,fold_punch,2,20,19,12,0.6,0.95,0.875,8,False,False grok_4_6,0,fold_punch,3,20,7,7,0.35,0.35,0.0,B,False,False grok_4_6,0,fold_punch,4,20,14,7,0.35,0.7,0.5384615384615384,exactly half,False,False grok_4_6,0,fold_punch,5,20,19,10,0.5,0.95,0.9,16,False,False grok_4_6,0,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False grok_4_6,0,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False grok_4_6,0,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False grok_4_6,0,gauge_reading,4,20,14,14,0.7,0.7,0.0,no danger zone marked,False,False grok_4_6,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False grok_4_6,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False grok_4_6,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False grok_4_6,0,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False grok_4_6,0,gear_train,4,20,17,1,0.05,0.85,0.8421052631578947,101.8,False,False grok_4_6,0,gear_train,5,20,1,8,0.4,0.05,-0.5833333333333334,decrease; direction unchanged,False,False grok_4_6,0,hex_pathfinding,1,20,1,3,0.15,0.05,-0.11764705882352941,5,False,False grok_4_6,0,hex_pathfinding,2,20,14,11,0.55,0.7,0.3333333333333333,walkable,False,False grok_4_6,0,hex_pathfinding,3,20,2,6,0.3,0.1,-0.2857142857142857,5,False,False grok_4_6,0,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False grok_4_6,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False grok_4_6,0,impossible_object,1,20,1,11,0.55,0.05,-1.1111111111111112,5,False,False grok_4_6,0,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False grok_4_6,0,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False grok_4_6,0,impossible_object,4,20,1,8,0.4,0.05,-0.5833333333333334,6,False,False grok_4_6,0,impossible_object,5,20,3,16,0.8,0.15,-3.25,already constructible,False,False grok_4_6,0,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False grok_4_6,0,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False grok_4_6,0,laser_mirror,3,20,20,8,0.4,1.0,1.0,1,False,False grok_4_6,0,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False grok_4_6,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False grok_4_6,0,line_intersection,1,20,16,7,0.35,0.8,0.6923076923076923,2,False,False grok_4_6,0,line_intersection,2,20,20,7,0.35,1.0,1.0,0,False,False grok_4_6,0,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False grok_4_6,0,line_intersection,4,20,18,4,0.2,0.9,0.875,"0,0",False,False grok_4_6,0,line_intersection,5,20,17,10,0.5,0.85,0.7,0,False,False grok_4_6,0,nested_hexagons,1,20,10,5,0.25,0.5,0.3333333333333333,4,False,False grok_4_6,0,nested_hexagons,2,20,15,13,0.65,0.75,0.2857142857142857,constant,False,False grok_4_6,0,nested_hexagons,3,20,1,2,0.1,0.05,-0.05555555555555555,4.0,False,False grok_4_6,0,nested_hexagons,4,20,0,5,0.25,0.0,-0.3333333333333333,0,False,False grok_4_6,0,nested_hexagons,5,20,14,10,0.5,0.7,0.4,no,False,False grok_4_6,0,nested_squares,1,20,8,4,0.2,0.4,0.25,5,False,False grok_4_6,0,nested_squares,2,20,11,11,0.55,0.55,0.0,changing,False,False grok_4_6,0,nested_squares,3,20,2,2,0.1,0.1,0.0,5.3,False,False grok_4_6,0,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False grok_4_6,0,nested_squares,5,20,13,12,0.6,0.65,0.125,yes,False,False grok_4_6,0,nested_triangles,1,20,9,6,0.3,0.45,0.21428571428571427,4,False,False grok_4_6,0,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False grok_4_6,0,nested_triangles,3,20,1,2,0.1,0.05,-0.05555555555555555,4.1,False,False grok_4_6,0,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False grok_4_6,0,nested_triangles,5,20,11,12,0.6,0.55,-0.125,yes,False,False grok_4_6,0,occluded_pattern,1,20,15,4,0.2,0.75,0.6875,8,False,False grok_4_6,0,occluded_pattern,2,20,6,5,0.25,0.3,0.06666666666666667,10,False,False grok_4_6,0,occluded_pattern,3,20,13,9,0.45,0.65,0.36363636363636365,circle,False,False grok_4_6,0,occluded_pattern,4,20,5,6,0.3,0.25,-0.07142857142857142,2,False,False grok_4_6,0,occluded_pattern,5,20,4,5,0.25,0.2,-0.06666666666666667,11,False,False grok_4_6,0,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False grok_4_6,0,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False grok_4_6,0,optical_illusion,3,20,10,9,0.45,0.5,0.09090909090909091,equal,False,False grok_4_6,0,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False grok_4_6,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False grok_4_6,0,orthographic,1,20,7,6,0.3,0.35,0.07142857142857142,6,False,False grok_4_6,0,orthographic,2,20,4,5,0.25,0.2,-0.06666666666666667,9,False,False grok_4_6,0,orthographic,3,20,12,5,0.25,0.6,0.4666666666666667,front,False,False grok_4_6,0,orthographic,4,20,12,8,0.4,0.6,0.3333333333333333,not unique,False,False grok_4_6,0,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False grok_4_6,0,overlap_circles,1,20,6,5,0.25,0.3,0.06666666666666667,10,False,False grok_4_6,0,overlap_circles,2,20,12,11,0.55,0.6,0.1111111111111111,no,False,False grok_4_6,0,overlap_circles,3,20,4,3,0.15,0.2,0.058823529411764705,1.8,False,False grok_4_6,0,overlap_circles,4,20,10,6,0.3,0.5,0.2857142857142857,0,False,False grok_4_6,0,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False grok_4_6,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False grok_4_6,0,physical_stability,2,20,17,11,0.55,0.85,0.6666666666666666,right,False,False grok_4_6,0,physical_stability,3,20,18,10,0.5,0.9,0.8,D,False,False grok_4_6,0,physical_stability,4,20,2,8,0.4,0.1,-0.5,stable,False,False grok_4_6,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False grok_4_6,0,polyhedron,1,20,6,8,0.4,0.3,-0.16666666666666666,14,False,False grok_4_6,0,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False grok_4_6,0,polyhedron,3,20,3,7,0.35,0.15,-0.3076923076923077,mixed,False,False grok_4_6,0,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False grok_4_6,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False grok_4_6,0,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False grok_4_6,0,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False grok_4_6,0,projectile_motion,3,20,18,1,0.05,0.9,0.8947368421052632,13.4,False,False grok_4_6,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False grok_4_6,0,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False grok_4_6,0,rotation_matching,1,20,12,8,0.4,0.6,0.3333333333333333,7,False,False grok_4_6,0,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False grok_4_6,0,rotation_matching,3,20,8,4,0.2,0.4,0.25,315,False,False grok_4_6,0,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False grok_4_6,0,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False grok_4_6,0,route,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False grok_4_6,0,route,2,20,5,11,0.55,0.25,-0.6666666666666666,1,False,False grok_4_6,0,route,3,20,5,5,0.25,0.25,0.0,4,False,False grok_4_6,0,route,4,20,1,1,0.05,0.05,0.0,AC,False,False grok_4_6,0,route,5,20,10,6,0.3,0.5,0.2857142857142857,4,False,False grok_4_6,0,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False grok_4_6,0,rpm,2,20,15,4,0.2,0.75,0.6875,1,False,False grok_4_6,0,rpm,3,20,13,5,0.25,0.65,0.5333333333333333,correct shape but wrong color,False,False grok_4_6,0,rpm,4,20,7,5,0.25,0.35,0.13333333333333333,8,False,False grok_4_6,0,rpm,5,20,8,11,0.55,0.4,-0.3333333333333333,9,False,False grok_4_6,0,shadow_inference,1,20,17,10,0.5,0.85,0.7,2,False,False grok_4_6,0,shadow_inference,2,20,14,7,0.35,0.7,0.5384615384615384,right,False,False grok_4_6,0,shadow_inference,3,20,15,7,0.35,0.75,0.6153846153846154,low,False,False grok_4_6,0,shadow_inference,4,20,6,8,0.4,0.3,-0.16666666666666666,same,False,False grok_4_6,0,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False grok_4_6,0,surface_topology,1,20,15,8,0.4,0.75,0.5833333333333334,3,False,False grok_4_6,0,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False grok_4_6,0,surface_topology,3,20,9,7,0.35,0.45,0.15384615384615385,0,False,False grok_4_6,0,surface_topology,4,20,14,8,0.4,0.7,0.5,-4; orientable,False,False grok_4_6,0,surface_topology,5,20,12,8,0.4,0.6,0.3333333333333333,-5,False,False grok_4_6,0,symmetry_pattern,1,20,17,11,0.55,0.85,0.6666666666666666,8,False,False grok_4_6,0,symmetry_pattern,2,20,14,11,0.55,0.7,0.3333333333333333,broken,False,False grok_4_6,0,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False grok_4_6,0,symmetry_pattern,4,20,2,7,0.35,0.1,-0.38461538461538464,8,False,False grok_4_6,0,symmetry_pattern,5,20,18,20,1.0,0.9,,yes,True,False grok_4_6,15,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False grok_4_6,15,angle_estimation,2,20,14,4,0.2,0.7,0.625,Angle 2,False,False grok_4_6,15,angle_estimation,3,20,10,6,0.3,0.5,0.2857142857142857,greater than,False,False grok_4_6,15,angle_estimation,4,20,7,4,0.2,0.35,0.1875,180,False,False grok_4_6,15,angle_estimation,5,20,6,6,0.3,0.3,0.0,exceeds 180,False,False grok_4_6,15,clock_reading,1,20,14,4,0.2,0.7,0.625,10,False,False grok_4_6,15,clock_reading,2,20,18,10,0.5,0.9,0.8,after,False,False grok_4_6,15,clock_reading,3,20,4,1,0.05,0.2,0.15789473684210525,02:15,False,False grok_4_6,15,clock_reading,4,20,6,1,0.05,0.3,0.2631578947368421,123,False,False grok_4_6,15,clock_reading,5,20,6,1,0.05,0.3,0.2631578947368421,104,False,False grok_4_6,15,combination,1,20,3,7,0.35,0.15,-0.3076923076923077,10,False,False grok_4_6,15,combination,2,20,13,13,0.65,0.65,0.0,C,False,False grok_4_6,15,combination,3,20,14,8,0.4,0.7,0.5,yes,False,False grok_4_6,15,combination,4,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False grok_4_6,15,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False grok_4_6,15,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False grok_4_6,15,combination3d,2,20,8,7,0.35,0.4,0.07692307692307693,B,False,False grok_4_6,15,combination3d,3,20,13,10,0.5,0.65,0.3,yes,False,False grok_4_6,15,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False grok_4_6,15,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False grok_4_6,15,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False grok_4_6,15,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False grok_4_6,15,compass_bearing,3,20,9,2,0.1,0.45,0.3888888888888889,020,False,False grok_4_6,15,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False grok_4_6,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False grok_4_6,15,coordinate_geometry,1,20,12,2,0.1,0.6,0.5555555555555556,"(-6, -2)",False,False grok_4_6,15,coordinate_geometry,2,20,11,3,0.15,0.55,0.47058823529411764,4.47,False,False grok_4_6,15,coordinate_geometry,3,20,4,5,0.25,0.2,-0.06666666666666667,A and B,False,False grok_4_6,15,coordinate_geometry,4,20,16,6,0.3,0.8,0.7142857142857143,less than,False,False grok_4_6,15,coordinate_geometry,5,20,12,3,0.15,0.6,0.5294117647058824,3.16,False,False grok_4_6,15,cube_net,1,20,20,20,1.0,1.0,,6,True,False grok_4_6,15,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False grok_4_6,15,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False grok_4_6,15,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False grok_4_6,15,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False grok_4_6,15,cube_structure,1,20,4,6,0.3,0.2,-0.14285714285714285,12,False,False grok_4_6,15,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False grok_4_6,15,cube_structure,3,20,18,10,0.5,0.9,0.8,1,False,False grok_4_6,15,cube_structure,4,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False grok_4_6,15,cube_structure,5,20,9,8,0.4,0.45,0.08333333333333333,2,False,False grok_4_6,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False grok_4_6,15,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False grok_4_6,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False grok_4_6,15,depth_height,4,20,5,2,0.1,0.25,0.16666666666666666,0.77,False,False grok_4_6,15,depth_height,5,20,16,11,0.55,0.8,0.5555555555555556,smaller,False,False grok_4_6,15,embedded_figures,1,20,5,6,0.3,0.25,-0.07142857142857142,13,False,False grok_4_6,15,embedded_figures,2,20,11,10,0.5,0.55,0.1,6,False,False grok_4_6,15,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False grok_4_6,15,embedded_figures,4,20,9,7,0.35,0.45,0.15384615384615385,6,False,False grok_4_6,15,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False grok_4_6,15,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False grok_4_6,15,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False grok_4_6,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False grok_4_6,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False grok_4_6,15,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False grok_4_6,15,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False grok_4_6,15,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False grok_4_6,15,fold_punch,3,20,11,7,0.35,0.55,0.3076923076923077,B,False,False grok_4_6,15,fold_punch,4,20,10,7,0.35,0.5,0.23076923076923078,exactly half,False,False grok_4_6,15,fold_punch,5,20,20,10,0.5,1.0,1.0,16,False,False grok_4_6,15,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False grok_4_6,15,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False grok_4_6,15,gauge_reading,3,20,13,2,0.1,0.65,0.6111111111111112,100,False,False grok_4_6,15,gauge_reading,4,20,14,14,0.7,0.7,0.0,no danger zone marked,False,False grok_4_6,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False grok_4_6,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False grok_4_6,15,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False grok_4_6,15,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False grok_4_6,15,gear_train,4,20,16,1,0.05,0.8,0.7894736842105263,101.8,False,False grok_4_6,15,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False grok_4_6,15,hex_pathfinding,1,20,3,3,0.15,0.15,0.0,5,False,False grok_4_6,15,hex_pathfinding,2,20,12,11,0.55,0.6,0.1111111111111111,walkable,False,False grok_4_6,15,hex_pathfinding,3,20,2,6,0.3,0.1,-0.2857142857142857,5,False,False grok_4_6,15,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False grok_4_6,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False grok_4_6,15,impossible_object,1,20,2,11,0.55,0.1,-1.0,5,False,False grok_4_6,15,impossible_object,2,20,5,16,0.8,0.25,-2.75,yes,False,False grok_4_6,15,impossible_object,3,20,8,7,0.35,0.4,0.07692307692307693,C,False,False grok_4_6,15,impossible_object,4,20,2,8,0.4,0.1,-0.5,6,False,False grok_4_6,15,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False grok_4_6,15,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False grok_4_6,15,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False grok_4_6,15,laser_mirror,3,20,18,8,0.4,0.9,0.8333333333333334,1,False,False grok_4_6,15,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False grok_4_6,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False grok_4_6,15,line_intersection,1,20,16,7,0.35,0.8,0.6923076923076923,2,False,False grok_4_6,15,line_intersection,2,20,19,7,0.35,0.95,0.9230769230769231,0,False,False grok_4_6,15,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False grok_4_6,15,line_intersection,4,20,19,4,0.2,0.95,0.9375,"0,0",False,False grok_4_6,15,line_intersection,5,20,16,10,0.5,0.8,0.6,0,False,False grok_4_6,15,nested_hexagons,1,20,10,5,0.25,0.5,0.3333333333333333,4,False,False grok_4_6,15,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False grok_4_6,15,nested_hexagons,3,20,2,2,0.1,0.1,0.0,4.0,False,False grok_4_6,15,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False grok_4_6,15,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False grok_4_6,15,nested_squares,1,20,9,4,0.2,0.45,0.3125,5,False,False grok_4_6,15,nested_squares,2,20,12,11,0.55,0.6,0.1111111111111111,changing,False,False grok_4_6,15,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False grok_4_6,15,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False grok_4_6,15,nested_squares,5,20,13,12,0.6,0.65,0.125,yes,False,False grok_4_6,15,nested_triangles,1,20,11,6,0.3,0.55,0.35714285714285715,4,False,False grok_4_6,15,nested_triangles,2,20,11,13,0.65,0.55,-0.2857142857142857,constant,False,False grok_4_6,15,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False grok_4_6,15,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False grok_4_6,15,nested_triangles,5,20,11,12,0.6,0.55,-0.125,yes,False,False grok_4_6,15,occluded_pattern,1,20,16,4,0.2,0.8,0.75,8,False,False grok_4_6,15,occluded_pattern,2,20,6,5,0.25,0.3,0.06666666666666667,10,False,False grok_4_6,15,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False grok_4_6,15,occluded_pattern,4,20,2,6,0.3,0.1,-0.2857142857142857,2,False,False grok_4_6,15,occluded_pattern,5,20,5,5,0.25,0.25,0.0,11,False,False grok_4_6,15,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False grok_4_6,15,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False grok_4_6,15,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False grok_4_6,15,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False grok_4_6,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False grok_4_6,15,orthographic,1,20,7,6,0.3,0.35,0.07142857142857142,6,False,False grok_4_6,15,orthographic,2,20,4,5,0.25,0.2,-0.06666666666666667,9,False,False grok_4_6,15,orthographic,3,20,12,5,0.25,0.6,0.4666666666666667,front,False,False grok_4_6,15,orthographic,4,20,12,8,0.4,0.6,0.3333333333333333,not unique,False,False grok_4_6,15,orthographic,5,20,3,20,1.0,0.15,,front and side,True,False grok_4_6,15,overlap_circles,1,20,6,5,0.25,0.3,0.06666666666666667,10,False,False grok_4_6,15,overlap_circles,2,20,13,11,0.55,0.65,0.2222222222222222,no,False,False grok_4_6,15,overlap_circles,3,20,4,3,0.15,0.2,0.058823529411764705,1.8,False,False grok_4_6,15,overlap_circles,4,20,10,6,0.3,0.5,0.2857142857142857,0,False,False grok_4_6,15,overlap_circles,5,20,3,4,0.2,0.15,-0.0625,17,False,False grok_4_6,15,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False grok_4_6,15,physical_stability,2,20,18,11,0.55,0.9,0.7777777777777778,right,False,False grok_4_6,15,physical_stability,3,20,15,10,0.5,0.75,0.5,D,False,False grok_4_6,15,physical_stability,4,20,1,8,0.4,0.05,-0.5833333333333334,stable,False,False grok_4_6,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False grok_4_6,15,polyhedron,1,20,7,8,0.4,0.35,-0.08333333333333333,14,False,False grok_4_6,15,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False grok_4_6,15,polyhedron,3,20,8,7,0.35,0.4,0.07692307692307693,mixed,False,False grok_4_6,15,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False grok_4_6,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False grok_4_6,15,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False grok_4_6,15,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False grok_4_6,15,projectile_motion,3,20,18,1,0.05,0.9,0.8947368421052632,13.4,False,False grok_4_6,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False grok_4_6,15,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False grok_4_6,15,rotation_matching,1,20,11,8,0.4,0.55,0.25,7,False,False grok_4_6,15,rotation_matching,2,20,6,6,0.3,0.3,0.0,B,False,False grok_4_6,15,rotation_matching,3,20,6,4,0.2,0.3,0.125,315,False,False grok_4_6,15,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False grok_4_6,15,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False grok_4_6,15,route,1,20,16,6,0.3,0.8,0.7142857142857143,6,False,False grok_4_6,15,route,2,20,7,11,0.55,0.35,-0.4444444444444444,1,False,False grok_4_6,15,route,3,20,6,5,0.25,0.3,0.06666666666666667,4,False,False grok_4_6,15,route,4,20,1,1,0.05,0.05,0.0,AC,False,False grok_4_6,15,route,5,20,6,6,0.3,0.3,0.0,4,False,False grok_4_6,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False grok_4_6,15,rpm,2,20,14,4,0.2,0.7,0.625,1,False,False grok_4_6,15,rpm,3,20,12,5,0.25,0.6,0.4666666666666667,correct shape but wrong color,False,False grok_4_6,15,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False grok_4_6,15,rpm,5,20,10,11,0.55,0.5,-0.1111111111111111,9,False,False grok_4_6,15,shadow_inference,1,20,7,10,0.5,0.35,-0.3,2,False,False grok_4_6,15,shadow_inference,2,20,11,7,0.35,0.55,0.3076923076923077,right,False,False grok_4_6,15,shadow_inference,3,20,13,7,0.35,0.65,0.46153846153846156,low,False,False grok_4_6,15,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False grok_4_6,15,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False grok_4_6,15,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False grok_4_6,15,surface_topology,2,20,17,18,0.9,0.85,-0.5,orientable,False,False grok_4_6,15,surface_topology,3,20,10,7,0.35,0.5,0.23076923076923078,0,False,False grok_4_6,15,surface_topology,4,20,14,8,0.4,0.7,0.5,-4; orientable,False,False grok_4_6,15,surface_topology,5,20,13,8,0.4,0.65,0.4166666666666667,-5,False,False grok_4_6,15,symmetry_pattern,1,20,19,11,0.55,0.95,0.8888888888888888,8,False,False grok_4_6,15,symmetry_pattern,2,20,14,11,0.55,0.7,0.3333333333333333,broken,False,False grok_4_6,15,symmetry_pattern,3,20,10,6,0.3,0.5,0.2857142857142857,mirror,False,False grok_4_6,15,symmetry_pattern,4,20,4,7,0.35,0.2,-0.23076923076923078,8,False,False grok_4_6,15,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False grok_4_6,25,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False grok_4_6,25,angle_estimation,2,20,13,4,0.2,0.65,0.5625,Angle 2,False,False grok_4_6,25,angle_estimation,3,20,11,6,0.3,0.55,0.35714285714285715,greater than,False,False grok_4_6,25,angle_estimation,4,20,5,4,0.2,0.25,0.0625,180,False,False grok_4_6,25,angle_estimation,5,20,7,6,0.3,0.35,0.07142857142857142,exceeds 180,False,False grok_4_6,25,clock_reading,1,20,15,4,0.2,0.75,0.6875,10,False,False grok_4_6,25,clock_reading,2,20,17,10,0.5,0.85,0.7,after,False,False grok_4_6,25,clock_reading,3,20,4,1,0.05,0.2,0.15789473684210525,02:15,False,False grok_4_6,25,clock_reading,4,20,6,1,0.05,0.3,0.2631578947368421,123,False,False grok_4_6,25,clock_reading,5,20,5,1,0.05,0.25,0.21052631578947367,104,False,False grok_4_6,25,combination,1,20,3,7,0.35,0.15,-0.3076923076923077,10,False,False grok_4_6,25,combination,2,20,15,13,0.65,0.75,0.2857142857142857,C,False,False grok_4_6,25,combination,3,20,15,8,0.4,0.75,0.5833333333333334,yes,False,False grok_4_6,25,combination,4,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False grok_4_6,25,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False grok_4_6,25,combination3d,1,20,1,7,0.35,0.05,-0.46153846153846156,14,False,False grok_4_6,25,combination3d,2,20,9,7,0.35,0.45,0.15384615384615385,B,False,False grok_4_6,25,combination3d,3,20,13,10,0.5,0.65,0.3,yes,False,False grok_4_6,25,combination3d,4,20,4,5,0.25,0.2,-0.06666666666666667,D,False,False grok_4_6,25,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False grok_4_6,25,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False grok_4_6,25,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False grok_4_6,25,compass_bearing,3,20,10,2,0.1,0.5,0.4444444444444444,020,False,False grok_4_6,25,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False grok_4_6,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False grok_4_6,25,coordinate_geometry,1,20,8,2,0.1,0.4,0.3333333333333333,"(-6, -2)",False,False grok_4_6,25,coordinate_geometry,2,20,11,3,0.15,0.55,0.47058823529411764,4.47,False,False grok_4_6,25,coordinate_geometry,3,20,5,5,0.25,0.25,0.0,A and B,False,False grok_4_6,25,coordinate_geometry,4,20,17,6,0.3,0.85,0.7857142857142857,less than,False,False grok_4_6,25,coordinate_geometry,5,20,10,3,0.15,0.5,0.4117647058823529,3.16,False,False grok_4_6,25,cube_net,1,20,20,20,1.0,1.0,,6,True,False grok_4_6,25,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False grok_4_6,25,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False grok_4_6,25,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False grok_4_6,25,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False grok_4_6,25,cube_structure,1,20,4,6,0.3,0.2,-0.14285714285714285,12,False,False grok_4_6,25,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False grok_4_6,25,cube_structure,3,20,15,10,0.5,0.75,0.5,1,False,False grok_4_6,25,cube_structure,4,20,8,8,0.4,0.4,0.0,2,False,False grok_4_6,25,cube_structure,5,20,11,8,0.4,0.55,0.25,2,False,False grok_4_6,25,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False grok_4_6,25,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False grok_4_6,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False grok_4_6,25,depth_height,4,20,5,2,0.1,0.25,0.16666666666666666,0.77,False,False grok_4_6,25,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False grok_4_6,25,embedded_figures,1,20,4,6,0.3,0.2,-0.14285714285714285,13,False,False grok_4_6,25,embedded_figures,2,20,11,10,0.5,0.55,0.1,6,False,False grok_4_6,25,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False grok_4_6,25,embedded_figures,4,20,11,7,0.35,0.55,0.3076923076923077,6,False,False grok_4_6,25,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False grok_4_6,25,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False grok_4_6,25,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False grok_4_6,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False grok_4_6,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False grok_4_6,25,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False grok_4_6,25,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False grok_4_6,25,fold_punch,2,20,20,12,0.6,1.0,1.0,8,False,False grok_4_6,25,fold_punch,3,20,7,7,0.35,0.35,0.0,B,False,False grok_4_6,25,fold_punch,4,20,12,7,0.35,0.6,0.38461538461538464,exactly half,False,False grok_4_6,25,fold_punch,5,20,19,10,0.5,0.95,0.9,16,False,False grok_4_6,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False grok_4_6,25,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False grok_4_6,25,gauge_reading,3,20,18,2,0.1,0.9,0.8888888888888888,100,False,False grok_4_6,25,gauge_reading,4,20,16,14,0.7,0.8,0.3333333333333333,no danger zone marked,False,False grok_4_6,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False grok_4_6,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False grok_4_6,25,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False grok_4_6,25,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False grok_4_6,25,gear_train,4,20,17,1,0.05,0.85,0.8421052631578947,101.8,False,False grok_4_6,25,gear_train,5,20,1,8,0.4,0.05,-0.5833333333333334,decrease; direction unchanged,False,False grok_4_6,25,hex_pathfinding,1,20,0,3,0.15,0.0,-0.17647058823529413,5,False,False grok_4_6,25,hex_pathfinding,2,20,15,11,0.55,0.75,0.4444444444444444,walkable,False,False grok_4_6,25,hex_pathfinding,3,20,1,6,0.3,0.05,-0.35714285714285715,5,False,False grok_4_6,25,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False grok_4_6,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False grok_4_6,25,impossible_object,1,20,1,11,0.55,0.05,-1.1111111111111112,5,False,False grok_4_6,25,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False grok_4_6,25,impossible_object,3,20,9,7,0.35,0.45,0.15384615384615385,C,False,False grok_4_6,25,impossible_object,4,20,4,8,0.4,0.2,-0.3333333333333333,6,False,False grok_4_6,25,impossible_object,5,20,4,16,0.8,0.2,-3.0,already constructible,False,False grok_4_6,25,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False grok_4_6,25,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False grok_4_6,25,laser_mirror,3,20,20,8,0.4,1.0,1.0,1,False,False grok_4_6,25,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False grok_4_6,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False grok_4_6,25,line_intersection,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False grok_4_6,25,line_intersection,2,20,18,7,0.35,0.9,0.8461538461538461,0,False,False grok_4_6,25,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False grok_4_6,25,line_intersection,4,20,18,4,0.2,0.9,0.875,"0,0",False,False grok_4_6,25,line_intersection,5,20,15,10,0.5,0.75,0.5,0,False,False grok_4_6,25,nested_hexagons,1,20,10,5,0.25,0.5,0.3333333333333333,4,False,False grok_4_6,25,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False grok_4_6,25,nested_hexagons,3,20,2,2,0.1,0.1,0.0,4.0,False,False grok_4_6,25,nested_hexagons,4,20,3,5,0.25,0.15,-0.13333333333333333,0,False,False grok_4_6,25,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False grok_4_6,25,nested_squares,1,20,9,4,0.2,0.45,0.3125,5,False,False grok_4_6,25,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False grok_4_6,25,nested_squares,3,20,1,2,0.1,0.05,-0.05555555555555555,5.3,False,False grok_4_6,25,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False grok_4_6,25,nested_squares,5,20,12,12,0.6,0.6,0.0,yes,False,False grok_4_6,25,nested_triangles,1,20,8,6,0.3,0.4,0.14285714285714285,4,False,False grok_4_6,25,nested_triangles,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False grok_4_6,25,nested_triangles,3,20,2,2,0.1,0.1,0.0,4.1,False,False grok_4_6,25,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False grok_4_6,25,nested_triangles,5,20,14,12,0.6,0.7,0.25,yes,False,False grok_4_6,25,occluded_pattern,1,20,15,4,0.2,0.75,0.6875,8,False,False grok_4_6,25,occluded_pattern,2,20,4,5,0.25,0.2,-0.06666666666666667,10,False,False grok_4_6,25,occluded_pattern,3,20,13,9,0.45,0.65,0.36363636363636365,circle,False,False grok_4_6,25,occluded_pattern,4,20,4,6,0.3,0.2,-0.14285714285714285,2,False,False grok_4_6,25,occluded_pattern,5,20,3,5,0.25,0.15,-0.13333333333333333,11,False,False grok_4_6,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False grok_4_6,25,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False grok_4_6,25,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False grok_4_6,25,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False grok_4_6,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False grok_4_6,25,orthographic,1,20,4,6,0.3,0.2,-0.14285714285714285,6,False,False grok_4_6,25,orthographic,2,20,4,5,0.25,0.2,-0.06666666666666667,9,False,False grok_4_6,25,orthographic,3,20,13,5,0.25,0.65,0.5333333333333333,front,False,False grok_4_6,25,orthographic,4,20,12,8,0.4,0.6,0.3333333333333333,not unique,False,False grok_4_6,25,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False grok_4_6,25,overlap_circles,1,20,5,5,0.25,0.25,0.0,10,False,False grok_4_6,25,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False grok_4_6,25,overlap_circles,3,20,3,3,0.15,0.15,0.0,1.8,False,False grok_4_6,25,overlap_circles,4,20,11,6,0.3,0.55,0.35714285714285715,0,False,False grok_4_6,25,overlap_circles,5,20,4,4,0.2,0.2,0.0,17,False,False grok_4_6,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False grok_4_6,25,physical_stability,2,20,16,11,0.55,0.8,0.5555555555555556,right,False,False grok_4_6,25,physical_stability,3,20,17,10,0.5,0.85,0.7,D,False,False grok_4_6,25,physical_stability,4,20,3,8,0.4,0.15,-0.4166666666666667,stable,False,False grok_4_6,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False grok_4_6,25,polyhedron,1,20,5,8,0.4,0.25,-0.25,14,False,False grok_4_6,25,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False grok_4_6,25,polyhedron,3,20,5,7,0.35,0.25,-0.15384615384615385,mixed,False,False grok_4_6,25,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False grok_4_6,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False grok_4_6,25,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False grok_4_6,25,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False grok_4_6,25,projectile_motion,3,20,18,1,0.05,0.9,0.8947368421052632,13.4,False,False grok_4_6,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False grok_4_6,25,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False grok_4_6,25,rotation_matching,1,20,12,8,0.4,0.6,0.3333333333333333,7,False,False grok_4_6,25,rotation_matching,2,20,7,6,0.3,0.35,0.07142857142857142,B,False,False grok_4_6,25,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False grok_4_6,25,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False grok_4_6,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False grok_4_6,25,route,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False grok_4_6,25,route,2,20,10,11,0.55,0.5,-0.1111111111111111,1,False,False grok_4_6,25,route,3,20,5,5,0.25,0.25,0.0,4,False,False grok_4_6,25,route,4,20,1,1,0.05,0.05,0.0,AC,False,False grok_4_6,25,route,5,20,9,6,0.3,0.45,0.21428571428571427,4,False,False grok_4_6,25,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False grok_4_6,25,rpm,2,20,16,4,0.2,0.8,0.75,1,False,False grok_4_6,25,rpm,3,20,13,5,0.25,0.65,0.5333333333333333,correct shape but wrong color,False,False grok_4_6,25,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False grok_4_6,25,rpm,5,20,7,11,0.55,0.35,-0.4444444444444444,9,False,False grok_4_6,25,shadow_inference,1,20,5,10,0.5,0.25,-0.5,2,False,False grok_4_6,25,shadow_inference,2,20,7,7,0.35,0.35,0.0,right,False,False grok_4_6,25,shadow_inference,3,20,11,7,0.35,0.55,0.3076923076923077,low,False,False grok_4_6,25,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False grok_4_6,25,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False grok_4_6,25,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False grok_4_6,25,surface_topology,2,20,17,18,0.9,0.85,-0.5,orientable,False,False grok_4_6,25,surface_topology,3,20,10,7,0.35,0.5,0.23076923076923078,0,False,False grok_4_6,25,surface_topology,4,20,15,8,0.4,0.75,0.5833333333333334,-4; orientable,False,False grok_4_6,25,surface_topology,5,20,14,8,0.4,0.7,0.5,-5,False,False grok_4_6,25,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False grok_4_6,25,symmetry_pattern,2,20,15,11,0.55,0.75,0.4444444444444444,broken,False,False grok_4_6,25,symmetry_pattern,3,20,9,6,0.3,0.45,0.21428571428571427,mirror,False,False grok_4_6,25,symmetry_pattern,4,20,6,7,0.35,0.3,-0.07692307692307693,8,False,False grok_4_6,25,symmetry_pattern,5,20,17,20,1.0,0.85,,yes,True,False grok_4_6,40,angle_estimation,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False grok_4_6,40,angle_estimation,2,20,13,4,0.2,0.65,0.5625,Angle 2,False,False grok_4_6,40,angle_estimation,3,20,11,6,0.3,0.55,0.35714285714285715,greater than,False,False grok_4_6,40,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False grok_4_6,40,angle_estimation,5,20,6,6,0.3,0.3,0.0,exceeds 180,False,False grok_4_6,40,clock_reading,1,20,13,4,0.2,0.65,0.5625,10,False,False grok_4_6,40,clock_reading,2,20,19,10,0.5,0.95,0.9,after,False,False grok_4_6,40,clock_reading,3,20,6,1,0.05,0.3,0.2631578947368421,02:15,False,False grok_4_6,40,clock_reading,4,20,6,1,0.05,0.3,0.2631578947368421,123,False,False grok_4_6,40,clock_reading,5,20,6,1,0.05,0.3,0.2631578947368421,104,False,False grok_4_6,40,combination,1,20,3,7,0.35,0.15,-0.3076923076923077,10,False,False grok_4_6,40,combination,2,20,10,13,0.65,0.5,-0.42857142857142855,C,False,False grok_4_6,40,combination,3,20,16,8,0.4,0.8,0.6666666666666666,yes,False,False grok_4_6,40,combination,4,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False grok_4_6,40,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False grok_4_6,40,combination3d,1,20,3,7,0.35,0.15,-0.3076923076923077,14,False,False grok_4_6,40,combination3d,2,20,11,7,0.35,0.55,0.3076923076923077,B,False,False grok_4_6,40,combination3d,3,20,9,10,0.5,0.45,-0.1,yes,False,False grok_4_6,40,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False grok_4_6,40,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False grok_4_6,40,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False grok_4_6,40,compass_bearing,2,20,20,9,0.45,1.0,1.0,north,False,False grok_4_6,40,compass_bearing,3,20,13,2,0.1,0.65,0.6111111111111112,020,False,False grok_4_6,40,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False grok_4_6,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False grok_4_6,40,coordinate_geometry,1,20,5,2,0.1,0.25,0.16666666666666666,"(-6, -2)",False,False grok_4_6,40,coordinate_geometry,2,20,4,3,0.15,0.2,0.058823529411764705,4.47,False,False grok_4_6,40,coordinate_geometry,3,20,2,5,0.25,0.1,-0.2,A and B,False,False grok_4_6,40,coordinate_geometry,4,20,17,6,0.3,0.85,0.7857142857142857,less than,False,False grok_4_6,40,coordinate_geometry,5,20,5,3,0.15,0.25,0.11764705882352941,3.16,False,False grok_4_6,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False grok_4_6,40,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False grok_4_6,40,cube_net,3,20,20,4,0.2,1.0,1.0,2,False,False grok_4_6,40,cube_net,4,20,20,11,0.55,1.0,1.0,adjacent,False,False grok_4_6,40,cube_net,5,20,20,18,0.9,1.0,1.0,no,False,False grok_4_6,40,cube_structure,1,20,5,6,0.3,0.25,-0.07142857142857142,12,False,False grok_4_6,40,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False grok_4_6,40,cube_structure,3,20,12,10,0.5,0.6,0.2,1,False,False grok_4_6,40,cube_structure,4,20,7,8,0.4,0.35,-0.08333333333333333,2,False,False grok_4_6,40,cube_structure,5,20,13,8,0.4,0.65,0.4166666666666667,2,False,False grok_4_6,40,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False grok_4_6,40,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False grok_4_6,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False grok_4_6,40,depth_height,4,20,5,2,0.1,0.25,0.16666666666666666,0.77,False,False grok_4_6,40,depth_height,5,20,18,11,0.55,0.9,0.7777777777777778,smaller,False,False grok_4_6,40,embedded_figures,1,20,3,6,0.3,0.15,-0.21428571428571427,13,False,False grok_4_6,40,embedded_figures,2,20,9,10,0.5,0.45,-0.1,6,False,False grok_4_6,40,embedded_figures,3,20,8,10,0.5,0.4,-0.2,D,False,False grok_4_6,40,embedded_figures,4,20,9,7,0.35,0.45,0.15384615384615385,6,False,False grok_4_6,40,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False grok_4_6,40,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False grok_4_6,40,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False grok_4_6,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False grok_4_6,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False grok_4_6,40,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False grok_4_6,40,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False grok_4_6,40,fold_punch,2,20,19,12,0.6,0.95,0.875,8,False,False grok_4_6,40,fold_punch,3,20,7,7,0.35,0.35,0.0,B,False,False grok_4_6,40,fold_punch,4,20,13,7,0.35,0.65,0.46153846153846156,exactly half,False,False grok_4_6,40,fold_punch,5,20,19,10,0.5,0.95,0.9,16,False,False grok_4_6,40,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False grok_4_6,40,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False grok_4_6,40,gauge_reading,3,20,14,2,0.1,0.7,0.6666666666666666,100,False,False grok_4_6,40,gauge_reading,4,20,11,14,0.7,0.55,-0.5,no danger zone marked,False,False grok_4_6,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False grok_4_6,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False grok_4_6,40,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False grok_4_6,40,gear_train,3,20,20,6,0.3,1.0,1.0,C,False,False grok_4_6,40,gear_train,4,20,16,1,0.05,0.8,0.7894736842105263,101.8,False,False grok_4_6,40,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False grok_4_6,40,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False grok_4_6,40,hex_pathfinding,2,20,14,11,0.55,0.7,0.3333333333333333,walkable,False,False grok_4_6,40,hex_pathfinding,3,20,2,6,0.3,0.1,-0.2857142857142857,5,False,False grok_4_6,40,hex_pathfinding,4,20,3,5,0.25,0.15,-0.13333333333333333,multiple (4),False,False grok_4_6,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False grok_4_6,40,impossible_object,1,20,0,11,0.55,0.0,-1.2222222222222223,5,False,False grok_4_6,40,impossible_object,2,20,7,16,0.8,0.35,-2.25,yes,False,False grok_4_6,40,impossible_object,3,20,9,7,0.35,0.45,0.15384615384615385,C,False,False grok_4_6,40,impossible_object,4,20,6,8,0.4,0.3,-0.16666666666666666,6,False,False grok_4_6,40,impossible_object,5,20,3,16,0.8,0.15,-3.25,already constructible,False,False grok_4_6,40,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False grok_4_6,40,laser_mirror,2,20,20,14,0.7,1.0,1.0,yes,False,False grok_4_6,40,laser_mirror,3,20,18,8,0.4,0.9,0.8333333333333334,1,False,False grok_4_6,40,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False grok_4_6,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False grok_4_6,40,line_intersection,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False grok_4_6,40,line_intersection,2,20,19,7,0.35,0.95,0.9230769230769231,0,False,False grok_4_6,40,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False grok_4_6,40,line_intersection,4,20,17,4,0.2,0.85,0.8125,"0,0",False,False grok_4_6,40,line_intersection,5,20,12,10,0.5,0.6,0.2,0,False,False grok_4_6,40,nested_hexagons,1,20,9,5,0.25,0.45,0.26666666666666666,4,False,False grok_4_6,40,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False grok_4_6,40,nested_hexagons,3,20,1,2,0.1,0.05,-0.05555555555555555,4.0,False,False grok_4_6,40,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False grok_4_6,40,nested_hexagons,5,20,12,10,0.5,0.6,0.2,no,False,False grok_4_6,40,nested_squares,1,20,10,4,0.2,0.5,0.375,5,False,False grok_4_6,40,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False grok_4_6,40,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False grok_4_6,40,nested_squares,4,20,1,3,0.15,0.05,-0.11764705882352941,0,False,False grok_4_6,40,nested_squares,5,20,11,12,0.6,0.55,-0.125,yes,False,False grok_4_6,40,nested_triangles,1,20,6,6,0.3,0.3,0.0,4,False,False grok_4_6,40,nested_triangles,2,20,11,13,0.65,0.55,-0.2857142857142857,constant,False,False grok_4_6,40,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False grok_4_6,40,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False grok_4_6,40,nested_triangles,5,20,12,12,0.6,0.6,0.0,yes,False,False grok_4_6,40,occluded_pattern,1,20,17,4,0.2,0.85,0.8125,8,False,False grok_4_6,40,occluded_pattern,2,20,6,5,0.25,0.3,0.06666666666666667,10,False,False grok_4_6,40,occluded_pattern,3,20,11,9,0.45,0.55,0.18181818181818182,circle,False,False grok_4_6,40,occluded_pattern,4,20,4,6,0.3,0.2,-0.14285714285714285,2,False,False grok_4_6,40,occluded_pattern,5,20,3,5,0.25,0.15,-0.13333333333333333,11,False,False grok_4_6,40,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False grok_4_6,40,optical_illusion,2,20,20,12,0.6,1.0,1.0,B,False,False grok_4_6,40,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False grok_4_6,40,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False grok_4_6,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False grok_4_6,40,orthographic,1,20,9,6,0.3,0.45,0.21428571428571427,6,False,False grok_4_6,40,orthographic,2,20,5,5,0.25,0.25,0.0,9,False,False grok_4_6,40,orthographic,3,20,12,5,0.25,0.6,0.4666666666666667,front,False,False grok_4_6,40,orthographic,4,20,11,8,0.4,0.55,0.25,not unique,False,False grok_4_6,40,orthographic,5,20,6,20,1.0,0.3,,front and side,True,False grok_4_6,40,overlap_circles,1,20,6,5,0.25,0.3,0.06666666666666667,10,False,False grok_4_6,40,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False grok_4_6,40,overlap_circles,3,20,3,3,0.15,0.15,0.0,1.8,False,False grok_4_6,40,overlap_circles,4,20,8,6,0.3,0.4,0.14285714285714285,0,False,False grok_4_6,40,overlap_circles,5,20,4,4,0.2,0.2,0.0,17,False,False grok_4_6,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False grok_4_6,40,physical_stability,2,20,15,11,0.55,0.75,0.4444444444444444,right,False,False grok_4_6,40,physical_stability,3,20,18,10,0.5,0.9,0.8,D,False,False grok_4_6,40,physical_stability,4,20,2,8,0.4,0.1,-0.5,stable,False,False grok_4_6,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False grok_4_6,40,polyhedron,1,20,6,8,0.4,0.3,-0.16666666666666666,14,False,False grok_4_6,40,polyhedron,2,20,19,19,0.95,0.95,0.0,convex,False,False grok_4_6,40,polyhedron,3,20,5,7,0.35,0.25,-0.15384615384615385,mixed,False,False grok_4_6,40,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False grok_4_6,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False grok_4_6,40,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False grok_4_6,40,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False grok_4_6,40,projectile_motion,3,20,18,1,0.05,0.9,0.8947368421052632,13.4,False,False grok_4_6,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False grok_4_6,40,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False grok_4_6,40,rotation_matching,1,20,13,8,0.4,0.65,0.4166666666666667,7,False,False grok_4_6,40,rotation_matching,2,20,6,6,0.3,0.3,0.0,B,False,False grok_4_6,40,rotation_matching,3,20,6,4,0.2,0.3,0.125,315,False,False grok_4_6,40,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False grok_4_6,40,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False grok_4_6,40,route,1,20,14,6,0.3,0.7,0.5714285714285714,6,False,False grok_4_6,40,route,2,20,8,11,0.55,0.4,-0.3333333333333333,1,False,False grok_4_6,40,route,3,20,8,5,0.25,0.4,0.2,4,False,False grok_4_6,40,route,4,20,1,1,0.05,0.05,0.0,AC,False,False grok_4_6,40,route,5,20,9,6,0.3,0.45,0.21428571428571427,4,False,False grok_4_6,40,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False grok_4_6,40,rpm,2,20,17,4,0.2,0.85,0.8125,1,False,False grok_4_6,40,rpm,3,20,13,5,0.25,0.65,0.5333333333333333,correct shape but wrong color,False,False grok_4_6,40,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False grok_4_6,40,rpm,5,20,8,11,0.55,0.4,-0.3333333333333333,9,False,False grok_4_6,40,shadow_inference,1,20,7,10,0.5,0.35,-0.3,2,False,False grok_4_6,40,shadow_inference,2,20,7,7,0.35,0.35,0.0,right,False,False grok_4_6,40,shadow_inference,3,20,12,7,0.35,0.6,0.38461538461538464,low,False,False grok_4_6,40,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False grok_4_6,40,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False grok_4_6,40,surface_topology,1,20,14,8,0.4,0.7,0.5,3,False,False grok_4_6,40,surface_topology,2,20,18,18,0.9,0.9,0.0,orientable,False,False grok_4_6,40,surface_topology,3,20,9,7,0.35,0.45,0.15384615384615385,0,False,False grok_4_6,40,surface_topology,4,20,14,8,0.4,0.7,0.5,-4; orientable,False,False grok_4_6,40,surface_topology,5,20,15,8,0.4,0.75,0.5833333333333334,-5,False,False grok_4_6,40,symmetry_pattern,1,20,19,11,0.55,0.95,0.8888888888888888,8,False,False grok_4_6,40,symmetry_pattern,2,20,11,11,0.55,0.55,0.0,broken,False,False grok_4_6,40,symmetry_pattern,3,20,10,6,0.3,0.5,0.2857142857142857,mirror,False,False grok_4_6,40,symmetry_pattern,4,20,5,7,0.35,0.25,-0.15384615384615385,8,False,False grok_4_6,40,symmetry_pattern,5,20,19,20,1.0,0.95,,yes,True,False inking,0,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False inking,0,angle_estimation,2,20,10,4,0.2,0.5,0.375,Angle 2,False,False inking,0,angle_estimation,3,20,9,6,0.3,0.45,0.21428571428571427,greater than,False,False inking,0,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False inking,0,angle_estimation,5,20,5,6,0.3,0.25,-0.07142857142857142,exceeds 180,False,False inking,0,clock_reading,1,20,8,4,0.2,0.4,0.25,10,False,False inking,0,clock_reading,2,20,8,10,0.5,0.4,-0.2,after,False,False inking,0,clock_reading,3,20,2,1,0.05,0.1,0.05263157894736842,02:15,False,False inking,0,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False inking,0,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False inking,0,combination,1,20,11,7,0.35,0.55,0.3076923076923077,10,False,False inking,0,combination,2,20,5,13,0.65,0.25,-1.1428571428571428,C,False,False inking,0,combination,3,20,10,8,0.4,0.5,0.16666666666666666,yes,False,False inking,0,combination,4,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False inking,0,combination,5,20,17,14,0.7,0.85,0.5,connected,False,False inking,0,combination3d,1,20,0,7,0.35,0.0,-0.5384615384615384,14,False,False inking,0,combination3d,2,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False inking,0,combination3d,3,20,11,10,0.5,0.55,0.1,yes,False,False inking,0,combination3d,4,20,1,5,0.25,0.05,-0.26666666666666666,D,False,False inking,0,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False inking,0,compass_bearing,1,20,19,13,0.65,0.95,0.8571428571428571,3,False,False inking,0,compass_bearing,2,20,17,9,0.45,0.85,0.7272727272727273,north,False,False inking,0,compass_bearing,3,20,2,2,0.1,0.1,0.0,020,False,False inking,0,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False inking,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False inking,0,coordinate_geometry,1,20,5,2,0.1,0.25,0.16666666666666666,"(-6, -2)",False,False inking,0,coordinate_geometry,2,20,2,3,0.15,0.1,-0.058823529411764705,4.47,False,False inking,0,coordinate_geometry,3,20,10,5,0.25,0.5,0.3333333333333333,A and B,False,False inking,0,coordinate_geometry,4,20,16,6,0.3,0.8,0.7142857142857143,less than,False,False inking,0,coordinate_geometry,5,20,2,3,0.15,0.1,-0.058823529411764705,3.16,False,False inking,0,cube_net,1,20,20,20,1.0,1.0,,6,True,False inking,0,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False inking,0,cube_net,3,20,3,4,0.2,0.15,-0.0625,2,False,False inking,0,cube_net,4,20,8,11,0.55,0.4,-0.3333333333333333,adjacent,False,False inking,0,cube_net,5,20,3,18,0.9,0.15,-7.5,no,False,False inking,0,cube_structure,1,20,1,6,0.3,0.05,-0.35714285714285715,12,False,False inking,0,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False inking,0,cube_structure,3,20,11,10,0.5,0.55,0.1,1,False,False inking,0,cube_structure,4,20,8,8,0.4,0.4,0.0,2,False,False inking,0,cube_structure,5,20,6,8,0.4,0.3,-0.16666666666666666,2,False,False inking,0,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False inking,0,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False inking,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False inking,0,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False inking,0,depth_height,5,20,16,11,0.55,0.8,0.5555555555555556,smaller,False,False inking,0,embedded_figures,1,20,2,6,0.3,0.1,-0.2857142857142857,13,False,False inking,0,embedded_figures,2,20,0,10,0.5,0.0,-1.0,6,False,False inking,0,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False inking,0,embedded_figures,4,20,1,7,0.35,0.05,-0.46153846153846156,6,False,False inking,0,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False inking,0,fbd,1,20,14,8,0.4,0.7,0.5,4,False,False inking,0,fbd,2,20,11,5,0.25,0.55,0.4,N,False,False inking,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False inking,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False inking,0,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False inking,0,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False inking,0,fold_punch,2,20,14,12,0.6,0.7,0.25,8,False,False inking,0,fold_punch,3,20,7,7,0.35,0.35,0.0,B,False,False inking,0,fold_punch,4,20,9,7,0.35,0.45,0.15384615384615385,exactly half,False,False inking,0,fold_punch,5,20,10,10,0.5,0.5,0.0,16,False,False inking,0,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False inking,0,gauge_reading,2,20,16,12,0.6,0.8,0.5,upper half,False,False inking,0,gauge_reading,3,20,13,2,0.1,0.65,0.6111111111111112,100,False,False inking,0,gauge_reading,4,20,5,14,0.7,0.25,-1.5,no danger zone marked,False,False inking,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False inking,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False inking,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False inking,0,gear_train,3,20,16,6,0.3,0.8,0.7142857142857143,C,False,False inking,0,gear_train,4,20,0,1,0.05,0.0,-0.05263157894736842,101.8,False,False inking,0,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False inking,0,hex_pathfinding,1,20,3,3,0.15,0.15,0.0,5,False,False inking,0,hex_pathfinding,2,20,9,11,0.55,0.45,-0.2222222222222222,walkable,False,False inking,0,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False inking,0,hex_pathfinding,4,20,2,5,0.25,0.1,-0.2,multiple (4),False,False inking,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False inking,0,impossible_object,1,20,6,11,0.55,0.3,-0.5555555555555556,5,False,False inking,0,impossible_object,2,20,6,16,0.8,0.3,-2.5,yes,False,False inking,0,impossible_object,3,20,5,7,0.35,0.25,-0.15384615384615385,C,False,False inking,0,impossible_object,4,20,0,8,0.4,0.0,-0.6666666666666666,6,False,False inking,0,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False inking,0,laser_mirror,1,20,16,9,0.45,0.8,0.6363636363636364,3,False,False inking,0,laser_mirror,2,20,14,14,0.7,0.7,0.0,yes,False,False inking,0,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False inking,0,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False inking,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False inking,0,line_intersection,1,20,5,7,0.35,0.25,-0.15384615384615385,2,False,False inking,0,line_intersection,2,20,14,7,0.35,0.7,0.5384615384615384,0,False,False inking,0,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False inking,0,line_intersection,4,20,11,4,0.2,0.55,0.4375,"0,0",False,False inking,0,line_intersection,5,20,6,10,0.5,0.3,-0.4,0,False,False inking,0,nested_hexagons,1,20,3,5,0.25,0.15,-0.13333333333333333,4,False,False inking,0,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False inking,0,nested_hexagons,3,20,1,2,0.1,0.05,-0.05555555555555555,4.0,False,False inking,0,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False inking,0,nested_hexagons,5,20,12,10,0.5,0.6,0.2,no,False,False inking,0,nested_squares,1,20,5,4,0.2,0.25,0.0625,5,False,False inking,0,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False inking,0,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False inking,0,nested_squares,4,20,1,3,0.15,0.05,-0.11764705882352941,0,False,False inking,0,nested_squares,5,20,12,12,0.6,0.6,0.0,yes,False,False inking,0,nested_triangles,1,20,2,6,0.3,0.1,-0.2857142857142857,4,False,False inking,0,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False inking,0,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False inking,0,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False inking,0,nested_triangles,5,20,10,12,0.6,0.5,-0.25,yes,False,False inking,0,occluded_pattern,1,20,8,4,0.2,0.4,0.25,8,False,False inking,0,occluded_pattern,2,20,6,5,0.25,0.3,0.06666666666666667,10,False,False inking,0,occluded_pattern,3,20,13,9,0.45,0.65,0.36363636363636365,circle,False,False inking,0,occluded_pattern,4,20,7,6,0.3,0.35,0.07142857142857142,2,False,False inking,0,occluded_pattern,5,20,2,5,0.25,0.1,-0.2,11,False,False inking,0,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False inking,0,optical_illusion,2,20,6,12,0.6,0.3,-0.75,B,False,False inking,0,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False inking,0,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False inking,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False inking,0,orthographic,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False inking,0,orthographic,2,20,4,5,0.25,0.2,-0.06666666666666667,9,False,False inking,0,orthographic,3,20,13,5,0.25,0.65,0.5333333333333333,front,False,False inking,0,orthographic,4,20,12,8,0.4,0.6,0.3333333333333333,not unique,False,False inking,0,orthographic,5,20,2,20,1.0,0.1,,front and side,True,False inking,0,overlap_circles,1,20,8,5,0.25,0.4,0.2,10,False,False inking,0,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False inking,0,overlap_circles,3,20,3,3,0.15,0.15,0.0,1.8,False,False inking,0,overlap_circles,4,20,9,6,0.3,0.45,0.21428571428571427,0,False,False inking,0,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False inking,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False inking,0,physical_stability,2,20,14,11,0.55,0.7,0.3333333333333333,right,False,False inking,0,physical_stability,3,20,15,10,0.5,0.75,0.5,D,False,False inking,0,physical_stability,4,20,7,8,0.4,0.35,-0.08333333333333333,stable,False,False inking,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False inking,0,polyhedron,1,20,6,8,0.4,0.3,-0.16666666666666666,14,False,False inking,0,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False inking,0,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False inking,0,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False inking,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False inking,0,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False inking,0,projectile_motion,2,20,14,11,0.55,0.7,0.3333333333333333,yes,False,False inking,0,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False inking,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False inking,0,projectile_motion,5,20,15,15,0.75,0.75,0.0,increase,False,False inking,0,rotation_matching,1,20,11,8,0.4,0.55,0.25,7,False,False inking,0,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False inking,0,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False inking,0,rotation_matching,4,20,3,7,0.35,0.15,-0.3076923076923077,A,False,False inking,0,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False inking,0,route,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False inking,0,route,2,20,1,11,0.55,0.05,-1.1111111111111112,1,False,False inking,0,route,3,20,1,5,0.25,0.05,-0.26666666666666666,4,False,False inking,0,route,4,20,1,1,0.05,0.05,0.0,AC,False,False inking,0,route,5,20,7,6,0.3,0.35,0.07142857142857142,4,False,False inking,0,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False inking,0,rpm,2,20,3,4,0.2,0.15,-0.0625,1,False,False inking,0,rpm,3,20,7,5,0.25,0.35,0.13333333333333333,correct shape but wrong color,False,False inking,0,rpm,4,20,3,5,0.25,0.15,-0.13333333333333333,8,False,False inking,0,rpm,5,20,4,11,0.55,0.2,-0.7777777777777778,9,False,False inking,0,shadow_inference,1,20,19,10,0.5,0.95,0.9,2,False,False inking,0,shadow_inference,2,20,9,7,0.35,0.45,0.15384615384615385,right,False,False inking,0,shadow_inference,3,20,17,7,0.35,0.85,0.7692307692307693,low,False,False inking,0,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False inking,0,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False inking,0,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False inking,0,surface_topology,2,20,17,18,0.9,0.85,-0.5,orientable,False,False inking,0,surface_topology,3,20,7,7,0.35,0.35,0.0,0,False,False inking,0,surface_topology,4,20,6,8,0.4,0.3,-0.16666666666666666,-4; orientable,False,False inking,0,surface_topology,5,20,2,8,0.4,0.1,-0.5,-5,False,False inking,0,symmetry_pattern,1,20,1,11,0.55,0.05,-1.1111111111111112,8,False,False inking,0,symmetry_pattern,2,20,12,11,0.55,0.6,0.1111111111111111,broken,False,False inking,0,symmetry_pattern,3,20,6,6,0.3,0.3,0.0,mirror,False,False inking,0,symmetry_pattern,4,20,2,7,0.35,0.1,-0.38461538461538464,8,False,False inking,0,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False inking,15,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False inking,15,angle_estimation,2,20,11,4,0.2,0.55,0.4375,Angle 2,False,False inking,15,angle_estimation,3,20,10,6,0.3,0.5,0.2857142857142857,greater than,False,False inking,15,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False inking,15,angle_estimation,5,20,6,6,0.3,0.3,0.0,exceeds 180,False,False inking,15,clock_reading,1,20,6,4,0.2,0.3,0.125,10,False,False inking,15,clock_reading,2,20,10,10,0.5,0.5,0.0,after,False,False inking,15,clock_reading,3,20,1,1,0.05,0.05,0.0,02:15,False,False inking,15,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False inking,15,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False inking,15,combination,1,20,6,7,0.35,0.3,-0.07692307692307693,10,False,False inking,15,combination,2,20,9,13,0.65,0.45,-0.5714285714285714,C,False,False inking,15,combination,3,20,10,8,0.4,0.5,0.16666666666666666,yes,False,False inking,15,combination,4,20,8,7,0.35,0.4,0.07692307692307693,B,False,False inking,15,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False inking,15,combination3d,1,20,1,7,0.35,0.05,-0.46153846153846156,14,False,False inking,15,combination3d,2,20,8,7,0.35,0.4,0.07692307692307693,B,False,False inking,15,combination3d,3,20,8,10,0.5,0.4,-0.2,yes,False,False inking,15,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False inking,15,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False inking,15,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False inking,15,compass_bearing,2,20,17,9,0.45,0.85,0.7272727272727273,north,False,False inking,15,compass_bearing,3,20,3,2,0.1,0.15,0.05555555555555555,020,False,False inking,15,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False inking,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False inking,15,coordinate_geometry,1,20,1,2,0.1,0.05,-0.05555555555555555,"(-6, -2)",False,False inking,15,coordinate_geometry,2,20,0,3,0.15,0.0,-0.17647058823529413,4.47,False,False inking,15,coordinate_geometry,3,20,7,5,0.25,0.35,0.13333333333333333,A and B,False,False inking,15,coordinate_geometry,4,20,14,6,0.3,0.7,0.5714285714285714,less than,False,False inking,15,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False inking,15,cube_net,1,20,20,20,1.0,1.0,,6,True,False inking,15,cube_net,2,20,19,9,0.45,0.95,0.9090909090909091,E,False,False inking,15,cube_net,3,20,2,4,0.2,0.1,-0.125,2,False,False inking,15,cube_net,4,20,10,11,0.55,0.5,-0.1111111111111111,adjacent,False,False inking,15,cube_net,5,20,4,18,0.9,0.2,-7.0,no,False,False inking,15,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False inking,15,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False inking,15,cube_structure,3,20,11,10,0.5,0.55,0.1,1,False,False inking,15,cube_structure,4,20,4,8,0.4,0.2,-0.3333333333333333,2,False,False inking,15,cube_structure,5,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False inking,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False inking,15,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False inking,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False inking,15,depth_height,4,20,3,2,0.1,0.15,0.05555555555555555,0.77,False,False inking,15,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False inking,15,embedded_figures,1,20,0,6,0.3,0.0,-0.42857142857142855,13,False,False inking,15,embedded_figures,2,20,0,10,0.5,0.0,-1.0,6,False,False inking,15,embedded_figures,3,20,9,10,0.5,0.45,-0.1,D,False,False inking,15,embedded_figures,4,20,3,7,0.35,0.15,-0.3076923076923077,6,False,False inking,15,embedded_figures,5,20,12,13,0.65,0.6,-0.14285714285714285,open,False,False inking,15,fbd,1,20,17,8,0.4,0.85,0.75,4,False,False inking,15,fbd,2,20,12,5,0.25,0.6,0.4666666666666667,N,False,False inking,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False inking,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False inking,15,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False inking,15,fold_punch,1,20,19,12,0.6,0.95,0.875,3,False,False inking,15,fold_punch,2,20,15,12,0.6,0.75,0.375,8,False,False inking,15,fold_punch,3,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False inking,15,fold_punch,4,20,7,7,0.35,0.35,0.0,exactly half,False,False inking,15,fold_punch,5,20,5,10,0.5,0.25,-0.5,16,False,False inking,15,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False inking,15,gauge_reading,2,20,16,12,0.6,0.8,0.5,upper half,False,False inking,15,gauge_reading,3,20,11,2,0.1,0.55,0.5,100,False,False inking,15,gauge_reading,4,20,3,14,0.7,0.15,-1.8333333333333333,no danger zone marked,False,False inking,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False inking,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False inking,15,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False inking,15,gear_train,3,20,11,6,0.3,0.55,0.35714285714285715,C,False,False inking,15,gear_train,4,20,0,1,0.05,0.0,-0.05263157894736842,101.8,False,False inking,15,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False inking,15,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False inking,15,hex_pathfinding,2,20,11,11,0.55,0.55,0.0,walkable,False,False inking,15,hex_pathfinding,3,20,2,6,0.3,0.1,-0.2857142857142857,5,False,False inking,15,hex_pathfinding,4,20,4,5,0.25,0.2,-0.06666666666666667,multiple (4),False,False inking,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False inking,15,impossible_object,1,20,11,11,0.55,0.55,0.0,5,False,False inking,15,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False inking,15,impossible_object,3,20,1,7,0.35,0.05,-0.46153846153846156,C,False,False inking,15,impossible_object,4,20,0,8,0.4,0.0,-0.6666666666666666,6,False,False inking,15,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False inking,15,laser_mirror,1,20,16,9,0.45,0.8,0.6363636363636364,3,False,False inking,15,laser_mirror,2,20,14,14,0.7,0.7,0.0,yes,False,False inking,15,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False inking,15,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False inking,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False inking,15,line_intersection,1,20,4,7,0.35,0.2,-0.23076923076923078,2,False,False inking,15,line_intersection,2,20,12,7,0.35,0.6,0.38461538461538464,0,False,False inking,15,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False inking,15,line_intersection,4,20,8,4,0.2,0.4,0.25,"0,0",False,False inking,15,line_intersection,5,20,5,10,0.5,0.25,-0.5,0,False,False inking,15,nested_hexagons,1,20,4,5,0.25,0.2,-0.06666666666666667,4,False,False inking,15,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False inking,15,nested_hexagons,3,20,1,2,0.1,0.05,-0.05555555555555555,4.0,False,False inking,15,nested_hexagons,4,20,2,5,0.25,0.1,-0.2,0,False,False inking,15,nested_hexagons,5,20,12,10,0.5,0.6,0.2,no,False,False inking,15,nested_squares,1,20,6,4,0.2,0.3,0.125,5,False,False inking,15,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False inking,15,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False inking,15,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False inking,15,nested_squares,5,20,13,12,0.6,0.65,0.125,yes,False,False inking,15,nested_triangles,1,20,4,6,0.3,0.2,-0.14285714285714285,4,False,False inking,15,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False inking,15,nested_triangles,3,20,1,2,0.1,0.05,-0.05555555555555555,4.1,False,False inking,15,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False inking,15,nested_triangles,5,20,8,12,0.6,0.4,-0.5,yes,False,False inking,15,occluded_pattern,1,20,8,4,0.2,0.4,0.25,8,False,False inking,15,occluded_pattern,2,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False inking,15,occluded_pattern,3,20,14,9,0.45,0.7,0.45454545454545453,circle,False,False inking,15,occluded_pattern,4,20,3,6,0.3,0.15,-0.21428571428571427,2,False,False inking,15,occluded_pattern,5,20,2,5,0.25,0.1,-0.2,11,False,False inking,15,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False inking,15,optical_illusion,2,20,11,12,0.6,0.55,-0.125,B,False,False inking,15,optical_illusion,3,20,8,9,0.45,0.4,-0.09090909090909091,equal,False,False inking,15,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False inking,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False inking,15,orthographic,1,20,10,6,0.3,0.5,0.2857142857142857,6,False,False inking,15,orthographic,2,20,1,5,0.25,0.05,-0.26666666666666666,9,False,False inking,15,orthographic,3,20,10,5,0.25,0.5,0.3333333333333333,front,False,False inking,15,orthographic,4,20,7,8,0.4,0.35,-0.08333333333333333,not unique,False,False inking,15,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False inking,15,overlap_circles,1,20,7,5,0.25,0.35,0.13333333333333333,10,False,False inking,15,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False inking,15,overlap_circles,3,20,4,3,0.15,0.2,0.058823529411764705,1.8,False,False inking,15,overlap_circles,4,20,8,6,0.3,0.4,0.14285714285714285,0,False,False inking,15,overlap_circles,5,20,4,4,0.2,0.2,0.0,17,False,False inking,15,physical_stability,1,20,19,7,0.35,0.95,0.9230769230769231,5,False,False inking,15,physical_stability,2,20,13,11,0.55,0.65,0.2222222222222222,right,False,False inking,15,physical_stability,3,20,15,10,0.5,0.75,0.5,D,False,False inking,15,physical_stability,4,20,7,8,0.4,0.35,-0.08333333333333333,stable,False,False inking,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False inking,15,polyhedron,1,20,4,8,0.4,0.2,-0.3333333333333333,14,False,False inking,15,polyhedron,2,20,19,19,0.95,0.95,0.0,convex,False,False inking,15,polyhedron,3,20,2,7,0.35,0.1,-0.38461538461538464,mixed,False,False inking,15,polyhedron,4,20,13,6,0.3,0.65,0.5,no,False,False inking,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False inking,15,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False inking,15,projectile_motion,2,20,12,11,0.55,0.6,0.1111111111111111,yes,False,False inking,15,projectile_motion,3,20,1,1,0.05,0.05,0.0,13.4,False,False inking,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False inking,15,projectile_motion,5,20,14,15,0.75,0.7,-0.2,increase,False,False inking,15,rotation_matching,1,20,9,8,0.4,0.45,0.08333333333333333,7,False,False inking,15,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False inking,15,rotation_matching,3,20,4,4,0.2,0.2,0.0,315,False,False inking,15,rotation_matching,4,20,4,7,0.35,0.2,-0.23076923076923078,A,False,False inking,15,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False inking,15,route,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False inking,15,route,2,20,3,11,0.55,0.15,-0.8888888888888888,1,False,False inking,15,route,3,20,1,5,0.25,0.05,-0.26666666666666666,4,False,False inking,15,route,4,20,0,1,0.05,0.0,-0.05263157894736842,AC,False,False inking,15,route,5,20,5,6,0.3,0.25,-0.07142857142857142,4,False,False inking,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False inking,15,rpm,2,20,3,4,0.2,0.15,-0.0625,1,False,False inking,15,rpm,3,20,11,5,0.25,0.55,0.4,correct shape but wrong color,False,False inking,15,rpm,4,20,2,5,0.25,0.1,-0.2,8,False,False inking,15,rpm,5,20,3,11,0.55,0.15,-0.8888888888888888,9,False,False inking,15,shadow_inference,1,20,16,10,0.5,0.8,0.6,2,False,False inking,15,shadow_inference,2,20,4,7,0.35,0.2,-0.23076923076923078,right,False,False inking,15,shadow_inference,3,20,14,7,0.35,0.7,0.5384615384615384,low,False,False inking,15,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False inking,15,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False inking,15,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False inking,15,surface_topology,2,20,13,18,0.9,0.65,-2.5,orientable,False,False inking,15,surface_topology,3,20,7,7,0.35,0.35,0.0,0,False,False inking,15,surface_topology,4,20,7,8,0.4,0.35,-0.08333333333333333,-4; orientable,False,False inking,15,surface_topology,5,20,3,8,0.4,0.15,-0.4166666666666667,-5,False,False inking,15,symmetry_pattern,1,20,2,11,0.55,0.1,-1.0,8,False,False inking,15,symmetry_pattern,2,20,12,11,0.55,0.6,0.1111111111111111,broken,False,False inking,15,symmetry_pattern,3,20,6,6,0.3,0.3,0.0,mirror,False,False inking,15,symmetry_pattern,4,20,2,7,0.35,0.1,-0.38461538461538464,8,False,False inking,15,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False inking,25,angle_estimation,1,20,16,7,0.35,0.8,0.6923076923076923,2,False,False inking,25,angle_estimation,2,20,10,4,0.2,0.5,0.375,Angle 2,False,False inking,25,angle_estimation,3,20,8,6,0.3,0.4,0.14285714285714285,greater than,False,False inking,25,angle_estimation,4,20,5,4,0.2,0.25,0.0625,180,False,False inking,25,angle_estimation,5,20,5,6,0.3,0.25,-0.07142857142857142,exceeds 180,False,False inking,25,clock_reading,1,20,10,4,0.2,0.5,0.375,10,False,False inking,25,clock_reading,2,20,10,10,0.5,0.5,0.0,after,False,False inking,25,clock_reading,3,20,1,1,0.05,0.05,0.0,02:15,False,False inking,25,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False inking,25,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False inking,25,combination,1,20,5,7,0.35,0.25,-0.15384615384615385,10,False,False inking,25,combination,2,20,5,13,0.65,0.25,-1.1428571428571428,C,False,False inking,25,combination,3,20,7,8,0.4,0.35,-0.08333333333333333,yes,False,False inking,25,combination,4,20,7,7,0.35,0.35,0.0,B,False,False inking,25,combination,5,20,19,14,0.7,0.95,0.8333333333333334,connected,False,False inking,25,combination3d,1,20,2,7,0.35,0.1,-0.38461538461538464,14,False,False inking,25,combination3d,2,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False inking,25,combination3d,3,20,7,10,0.5,0.35,-0.3,yes,False,False inking,25,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False inking,25,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False inking,25,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False inking,25,compass_bearing,2,20,16,9,0.45,0.8,0.6363636363636364,north,False,False inking,25,compass_bearing,3,20,2,2,0.1,0.1,0.0,020,False,False inking,25,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False inking,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False inking,25,coordinate_geometry,1,20,1,2,0.1,0.05,-0.05555555555555555,"(-6, -2)",False,False inking,25,coordinate_geometry,2,20,0,3,0.15,0.0,-0.17647058823529413,4.47,False,False inking,25,coordinate_geometry,3,20,9,5,0.25,0.45,0.26666666666666666,A and B,False,False inking,25,coordinate_geometry,4,20,14,6,0.3,0.7,0.5714285714285714,less than,False,False inking,25,coordinate_geometry,5,20,2,3,0.15,0.1,-0.058823529411764705,3.16,False,False inking,25,cube_net,1,20,20,20,1.0,1.0,,6,True,False inking,25,cube_net,2,20,19,9,0.45,0.95,0.9090909090909091,E,False,False inking,25,cube_net,3,20,3,4,0.2,0.15,-0.0625,2,False,False inking,25,cube_net,4,20,8,11,0.55,0.4,-0.3333333333333333,adjacent,False,False inking,25,cube_net,5,20,4,18,0.9,0.2,-7.0,no,False,False inking,25,cube_structure,1,20,2,6,0.3,0.1,-0.2857142857142857,12,False,False inking,25,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False inking,25,cube_structure,3,20,8,10,0.5,0.4,-0.2,1,False,False inking,25,cube_structure,4,20,7,8,0.4,0.35,-0.08333333333333333,2,False,False inking,25,cube_structure,5,20,3,8,0.4,0.15,-0.4166666666666667,2,False,False inking,25,depth_height,1,20,19,8,0.4,0.95,0.9166666666666666,3,False,False inking,25,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False inking,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False inking,25,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False inking,25,depth_height,5,20,17,11,0.55,0.85,0.6666666666666666,smaller,False,False inking,25,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False inking,25,embedded_figures,2,20,0,10,0.5,0.0,-1.0,6,False,False inking,25,embedded_figures,3,20,8,10,0.5,0.4,-0.2,D,False,False inking,25,embedded_figures,4,20,2,7,0.35,0.1,-0.38461538461538464,6,False,False inking,25,embedded_figures,5,20,12,13,0.65,0.6,-0.14285714285714285,open,False,False inking,25,fbd,1,20,16,8,0.4,0.8,0.6666666666666666,4,False,False inking,25,fbd,2,20,12,5,0.25,0.6,0.4666666666666667,N,False,False inking,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False inking,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False inking,25,fbd,5,20,1,9,0.45,0.05,-0.7272727272727273,"downward (270 degrees; 0=right, 90=up)",False,False inking,25,fold_punch,1,20,14,12,0.6,0.7,0.25,3,False,False inking,25,fold_punch,2,20,8,12,0.6,0.4,-0.5,8,False,False inking,25,fold_punch,3,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False inking,25,fold_punch,4,20,9,7,0.35,0.45,0.15384615384615385,exactly half,False,False inking,25,fold_punch,5,20,6,10,0.5,0.3,-0.4,16,False,False inking,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False inking,25,gauge_reading,2,20,14,12,0.6,0.7,0.25,upper half,False,False inking,25,gauge_reading,3,20,12,2,0.1,0.6,0.5555555555555556,100,False,False inking,25,gauge_reading,4,20,4,14,0.7,0.2,-1.6666666666666667,no danger zone marked,False,False inking,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False inking,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False inking,25,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False inking,25,gear_train,3,20,11,6,0.3,0.55,0.35714285714285715,C,False,False inking,25,gear_train,4,20,1,1,0.05,0.05,0.0,101.8,False,False inking,25,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False inking,25,hex_pathfinding,1,20,2,3,0.15,0.1,-0.058823529411764705,5,False,False inking,25,hex_pathfinding,2,20,12,11,0.55,0.6,0.1111111111111111,walkable,False,False inking,25,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False inking,25,hex_pathfinding,4,20,5,5,0.25,0.25,0.0,multiple (4),False,False inking,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False inking,25,impossible_object,1,20,12,11,0.55,0.6,0.1111111111111111,5,False,False inking,25,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False inking,25,impossible_object,3,20,4,7,0.35,0.2,-0.23076923076923078,C,False,False inking,25,impossible_object,4,20,0,8,0.4,0.0,-0.6666666666666666,6,False,False inking,25,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False inking,25,laser_mirror,1,20,15,9,0.45,0.75,0.5454545454545454,3,False,False inking,25,laser_mirror,2,20,15,14,0.7,0.75,0.16666666666666666,yes,False,False inking,25,laser_mirror,3,20,3,8,0.4,0.15,-0.4166666666666667,1,False,False inking,25,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False inking,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False inking,25,line_intersection,1,20,4,7,0.35,0.2,-0.23076923076923078,2,False,False inking,25,line_intersection,2,20,13,7,0.35,0.65,0.46153846153846156,0,False,False inking,25,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False inking,25,line_intersection,4,20,10,4,0.2,0.5,0.375,"0,0",False,False inking,25,line_intersection,5,20,6,10,0.5,0.3,-0.4,0,False,False inking,25,nested_hexagons,1,20,5,5,0.25,0.25,0.0,4,False,False inking,25,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False inking,25,nested_hexagons,3,20,2,2,0.1,0.1,0.0,4.0,False,False inking,25,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False inking,25,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False inking,25,nested_squares,1,20,5,4,0.2,0.25,0.0625,5,False,False inking,25,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False inking,25,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False inking,25,nested_squares,4,20,1,3,0.15,0.05,-0.11764705882352941,0,False,False inking,25,nested_squares,5,20,11,12,0.6,0.55,-0.125,yes,False,False inking,25,nested_triangles,1,20,4,6,0.3,0.2,-0.14285714285714285,4,False,False inking,25,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False inking,25,nested_triangles,3,20,1,2,0.1,0.05,-0.05555555555555555,4.1,False,False inking,25,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False inking,25,nested_triangles,5,20,9,12,0.6,0.45,-0.375,yes,False,False inking,25,occluded_pattern,1,20,6,4,0.2,0.3,0.125,8,False,False inking,25,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False inking,25,occluded_pattern,3,20,14,9,0.45,0.7,0.45454545454545453,circle,False,False inking,25,occluded_pattern,4,20,3,6,0.3,0.15,-0.21428571428571427,2,False,False inking,25,occluded_pattern,5,20,5,5,0.25,0.25,0.0,11,False,False inking,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False inking,25,optical_illusion,2,20,7,12,0.6,0.35,-0.625,B,False,False inking,25,optical_illusion,3,20,8,9,0.45,0.4,-0.09090909090909091,equal,False,False inking,25,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False inking,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False inking,25,orthographic,1,20,6,6,0.3,0.3,0.0,6,False,False inking,25,orthographic,2,20,3,5,0.25,0.15,-0.13333333333333333,9,False,False inking,25,orthographic,3,20,8,5,0.25,0.4,0.2,front,False,False inking,25,orthographic,4,20,8,8,0.4,0.4,0.0,not unique,False,False inking,25,orthographic,5,20,1,20,1.0,0.05,,front and side,True,False inking,25,overlap_circles,1,20,8,5,0.25,0.4,0.2,10,False,False inking,25,overlap_circles,2,20,10,11,0.55,0.5,-0.1111111111111111,no,False,False inking,25,overlap_circles,3,20,3,3,0.15,0.15,0.0,1.8,False,False inking,25,overlap_circles,4,20,5,6,0.3,0.25,-0.07142857142857142,0,False,False inking,25,overlap_circles,5,20,3,4,0.2,0.15,-0.0625,17,False,False inking,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False inking,25,physical_stability,2,20,11,11,0.55,0.55,0.0,right,False,False inking,25,physical_stability,3,20,15,10,0.5,0.75,0.5,D,False,False inking,25,physical_stability,4,20,7,8,0.4,0.35,-0.08333333333333333,stable,False,False inking,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False inking,25,polyhedron,1,20,3,8,0.4,0.15,-0.4166666666666667,14,False,False inking,25,polyhedron,2,20,15,19,0.95,0.75,-4.0,convex,False,False inking,25,polyhedron,3,20,1,7,0.35,0.05,-0.46153846153846156,mixed,False,False inking,25,polyhedron,4,20,10,6,0.3,0.5,0.2857142857142857,no,False,False inking,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False inking,25,projectile_motion,1,20,17,3,0.15,0.85,0.8235294117647058,68,False,False inking,25,projectile_motion,2,20,14,11,0.55,0.7,0.3333333333333333,yes,False,False inking,25,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False inking,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False inking,25,projectile_motion,5,20,14,15,0.75,0.7,-0.2,increase,False,False inking,25,rotation_matching,1,20,6,8,0.4,0.3,-0.16666666666666666,7,False,False inking,25,rotation_matching,2,20,6,6,0.3,0.3,0.0,B,False,False inking,25,rotation_matching,3,20,3,4,0.2,0.15,-0.0625,315,False,False inking,25,rotation_matching,4,20,5,7,0.35,0.25,-0.15384615384615385,A,False,False inking,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False inking,25,route,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False inking,25,route,2,20,2,11,0.55,0.1,-1.0,1,False,False inking,25,route,3,20,1,5,0.25,0.05,-0.26666666666666666,4,False,False inking,25,route,4,20,0,1,0.05,0.0,-0.05263157894736842,AC,False,False inking,25,route,5,20,4,6,0.3,0.2,-0.14285714285714285,4,False,False inking,25,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False inking,25,rpm,2,20,4,4,0.2,0.2,0.0,1,False,False inking,25,rpm,3,20,7,5,0.25,0.35,0.13333333333333333,correct shape but wrong color,False,False inking,25,rpm,4,20,3,5,0.25,0.15,-0.13333333333333333,8,False,False inking,25,rpm,5,20,4,11,0.55,0.2,-0.7777777777777778,9,False,False inking,25,shadow_inference,1,20,17,10,0.5,0.85,0.7,2,False,False inking,25,shadow_inference,2,20,8,7,0.35,0.4,0.07692307692307693,right,False,False inking,25,shadow_inference,3,20,15,7,0.35,0.75,0.6153846153846154,low,False,False inking,25,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False inking,25,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False inking,25,surface_topology,1,20,16,8,0.4,0.8,0.6666666666666666,3,False,False inking,25,surface_topology,2,20,11,18,0.9,0.55,-3.5,orientable,False,False inking,25,surface_topology,3,20,6,7,0.35,0.3,-0.07692307692307693,0,False,False inking,25,surface_topology,4,20,5,8,0.4,0.25,-0.25,-4; orientable,False,False inking,25,surface_topology,5,20,3,8,0.4,0.15,-0.4166666666666667,-5,False,False inking,25,symmetry_pattern,1,20,4,11,0.55,0.2,-0.7777777777777778,8,False,False inking,25,symmetry_pattern,2,20,13,11,0.55,0.65,0.2222222222222222,broken,False,False inking,25,symmetry_pattern,3,20,4,6,0.3,0.2,-0.14285714285714285,mirror,False,False inking,25,symmetry_pattern,4,20,2,7,0.35,0.1,-0.38461538461538464,8,False,False inking,25,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False inking,40,angle_estimation,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False inking,40,angle_estimation,2,20,8,4,0.2,0.4,0.25,Angle 2,False,False inking,40,angle_estimation,3,20,3,6,0.3,0.15,-0.21428571428571427,greater than,False,False inking,40,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False inking,40,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False inking,40,clock_reading,1,20,6,4,0.2,0.3,0.125,10,False,False inking,40,clock_reading,2,20,6,10,0.5,0.3,-0.4,after,False,False inking,40,clock_reading,3,20,1,1,0.05,0.05,0.0,02:15,False,False inking,40,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False inking,40,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False inking,40,combination,1,20,5,7,0.35,0.25,-0.15384615384615385,10,False,False inking,40,combination,2,20,4,13,0.65,0.2,-1.2857142857142858,C,False,False inking,40,combination,3,20,10,8,0.4,0.5,0.16666666666666666,yes,False,False inking,40,combination,4,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False inking,40,combination,5,20,17,14,0.7,0.85,0.5,connected,False,False inking,40,combination3d,1,20,1,7,0.35,0.05,-0.46153846153846156,14,False,False inking,40,combination3d,2,20,7,7,0.35,0.35,0.0,B,False,False inking,40,combination3d,3,20,8,10,0.5,0.4,-0.2,yes,False,False inking,40,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False inking,40,combination3d,5,20,11,10,0.5,0.55,0.1,"same shape, different angle",False,False inking,40,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False inking,40,compass_bearing,2,20,17,9,0.45,0.85,0.7272727272727273,north,False,False inking,40,compass_bearing,3,20,1,2,0.1,0.05,-0.05555555555555555,020,False,False inking,40,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False inking,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False inking,40,coordinate_geometry,1,20,1,2,0.1,0.05,-0.05555555555555555,"(-6, -2)",False,False inking,40,coordinate_geometry,2,20,2,3,0.15,0.1,-0.058823529411764705,4.47,False,False inking,40,coordinate_geometry,3,20,3,5,0.25,0.15,-0.13333333333333333,A and B,False,False inking,40,coordinate_geometry,4,20,15,6,0.3,0.75,0.6428571428571429,less than,False,False inking,40,coordinate_geometry,5,20,2,3,0.15,0.1,-0.058823529411764705,3.16,False,False inking,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False inking,40,cube_net,2,20,18,9,0.45,0.9,0.8181818181818182,E,False,False inking,40,cube_net,3,20,4,4,0.2,0.2,0.0,2,False,False inking,40,cube_net,4,20,9,11,0.55,0.45,-0.2222222222222222,adjacent,False,False inking,40,cube_net,5,20,2,18,0.9,0.1,-8.0,no,False,False inking,40,cube_structure,1,20,3,6,0.3,0.15,-0.21428571428571427,12,False,False inking,40,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False inking,40,cube_structure,3,20,6,10,0.5,0.3,-0.4,1,False,False inking,40,cube_structure,4,20,7,8,0.4,0.35,-0.08333333333333333,2,False,False inking,40,cube_structure,5,20,5,8,0.4,0.25,-0.25,2,False,False inking,40,depth_height,1,20,19,8,0.4,0.95,0.9166666666666666,3,False,False inking,40,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False inking,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False inking,40,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False inking,40,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False inking,40,embedded_figures,1,20,0,6,0.3,0.0,-0.42857142857142855,13,False,False inking,40,embedded_figures,2,20,1,10,0.5,0.05,-0.9,6,False,False inking,40,embedded_figures,3,20,7,10,0.5,0.35,-0.3,D,False,False inking,40,embedded_figures,4,20,1,7,0.35,0.05,-0.46153846153846156,6,False,False inking,40,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False inking,40,fbd,1,20,17,8,0.4,0.85,0.75,4,False,False inking,40,fbd,2,20,10,5,0.25,0.5,0.3333333333333333,N,False,False inking,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False inking,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False inking,40,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False inking,40,fold_punch,1,20,10,12,0.6,0.5,-0.25,3,False,False inking,40,fold_punch,2,20,4,12,0.6,0.2,-1.0,8,False,False inking,40,fold_punch,3,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False inking,40,fold_punch,4,20,11,7,0.35,0.55,0.3076923076923077,exactly half,False,False inking,40,fold_punch,5,20,6,10,0.5,0.3,-0.4,16,False,False inking,40,gauge_reading,1,20,19,15,0.75,0.95,0.8,0,False,False inking,40,gauge_reading,2,20,14,12,0.6,0.7,0.25,upper half,False,False inking,40,gauge_reading,3,20,13,2,0.1,0.65,0.6111111111111112,100,False,False inking,40,gauge_reading,4,20,1,14,0.7,0.05,-2.1666666666666665,no danger zone marked,False,False inking,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False inking,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False inking,40,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False inking,40,gear_train,3,20,12,6,0.3,0.6,0.42857142857142855,C,False,False inking,40,gear_train,4,20,1,1,0.05,0.05,0.0,101.8,False,False inking,40,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False inking,40,hex_pathfinding,1,20,1,3,0.15,0.05,-0.11764705882352941,5,False,False inking,40,hex_pathfinding,2,20,11,11,0.55,0.55,0.0,walkable,False,False inking,40,hex_pathfinding,3,20,3,6,0.3,0.15,-0.21428571428571427,5,False,False inking,40,hex_pathfinding,4,20,2,5,0.25,0.1,-0.2,multiple (4),False,False inking,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False inking,40,impossible_object,1,20,17,11,0.55,0.85,0.6666666666666666,5,False,False inking,40,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False inking,40,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False inking,40,impossible_object,4,20,0,8,0.4,0.0,-0.6666666666666666,6,False,False inking,40,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False inking,40,laser_mirror,1,20,16,9,0.45,0.8,0.6363636363636364,3,False,False inking,40,laser_mirror,2,20,13,14,0.7,0.65,-0.16666666666666666,yes,False,False inking,40,laser_mirror,3,20,3,8,0.4,0.15,-0.4166666666666667,1,False,False inking,40,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False inking,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False inking,40,line_intersection,1,20,5,7,0.35,0.25,-0.15384615384615385,2,False,False inking,40,line_intersection,2,20,10,7,0.35,0.5,0.23076923076923078,0,False,False inking,40,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False inking,40,line_intersection,4,20,9,4,0.2,0.45,0.3125,"0,0",False,False inking,40,line_intersection,5,20,6,10,0.5,0.3,-0.4,0,False,False inking,40,nested_hexagons,1,20,4,5,0.25,0.2,-0.06666666666666667,4,False,False inking,40,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False inking,40,nested_hexagons,3,20,1,2,0.1,0.05,-0.05555555555555555,4.0,False,False inking,40,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False inking,40,nested_hexagons,5,20,14,10,0.5,0.7,0.4,no,False,False inking,40,nested_squares,1,20,7,4,0.2,0.35,0.1875,5,False,False inking,40,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False inking,40,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False inking,40,nested_squares,4,20,1,3,0.15,0.05,-0.11764705882352941,0,False,False inking,40,nested_squares,5,20,11,12,0.6,0.55,-0.125,yes,False,False inking,40,nested_triangles,1,20,3,6,0.3,0.15,-0.21428571428571427,4,False,False inking,40,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False inking,40,nested_triangles,3,20,1,2,0.1,0.05,-0.05555555555555555,4.1,False,False inking,40,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False inking,40,nested_triangles,5,20,12,12,0.6,0.6,0.0,yes,False,False inking,40,occluded_pattern,1,20,6,4,0.2,0.3,0.125,8,False,False inking,40,occluded_pattern,2,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False inking,40,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False inking,40,occluded_pattern,4,20,0,6,0.3,0.0,-0.42857142857142855,2,False,False inking,40,occluded_pattern,5,20,0,5,0.25,0.0,-0.3333333333333333,11,False,False inking,40,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False inking,40,optical_illusion,2,20,9,12,0.6,0.45,-0.375,B,False,False inking,40,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False inking,40,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False inking,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False inking,40,orthographic,1,20,6,6,0.3,0.3,0.0,6,False,False inking,40,orthographic,2,20,2,5,0.25,0.1,-0.2,9,False,False inking,40,orthographic,3,20,2,5,0.25,0.1,-0.2,front,False,False inking,40,orthographic,4,20,9,8,0.4,0.45,0.08333333333333333,not unique,False,False inking,40,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False inking,40,overlap_circles,1,20,5,5,0.25,0.25,0.0,10,False,False inking,40,overlap_circles,2,20,13,11,0.55,0.65,0.2222222222222222,no,False,False inking,40,overlap_circles,3,20,3,3,0.15,0.15,0.0,1.8,False,False inking,40,overlap_circles,4,20,7,6,0.3,0.35,0.07142857142857142,0,False,False inking,40,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False inking,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False inking,40,physical_stability,2,20,12,11,0.55,0.6,0.1111111111111111,right,False,False inking,40,physical_stability,3,20,15,10,0.5,0.75,0.5,D,False,False inking,40,physical_stability,4,20,4,8,0.4,0.2,-0.3333333333333333,stable,False,False inking,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False inking,40,polyhedron,1,20,4,8,0.4,0.2,-0.3333333333333333,14,False,False inking,40,polyhedron,2,20,8,19,0.95,0.4,-11.0,convex,False,False inking,40,polyhedron,3,20,1,7,0.35,0.05,-0.46153846153846156,mixed,False,False inking,40,polyhedron,4,20,11,6,0.3,0.55,0.35714285714285715,no,False,False inking,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False inking,40,projectile_motion,1,20,16,3,0.15,0.8,0.7647058823529411,68,False,False inking,40,projectile_motion,2,20,14,11,0.55,0.7,0.3333333333333333,yes,False,False inking,40,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False inking,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False inking,40,projectile_motion,5,20,12,15,0.75,0.6,-0.6,increase,False,False inking,40,rotation_matching,1,20,10,8,0.4,0.5,0.16666666666666666,7,False,False inking,40,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False inking,40,rotation_matching,3,20,2,4,0.2,0.1,-0.125,315,False,False inking,40,rotation_matching,4,20,5,7,0.35,0.25,-0.15384615384615385,A,False,False inking,40,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False inking,40,route,1,20,12,6,0.3,0.6,0.42857142857142855,6,False,False inking,40,route,2,20,3,11,0.55,0.15,-0.8888888888888888,1,False,False inking,40,route,3,20,3,5,0.25,0.15,-0.13333333333333333,4,False,False inking,40,route,4,20,0,1,0.05,0.0,-0.05263157894736842,AC,False,False inking,40,route,5,20,10,6,0.3,0.5,0.2857142857142857,4,False,False inking,40,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False inking,40,rpm,2,20,5,4,0.2,0.25,0.0625,1,False,False inking,40,rpm,3,20,7,5,0.25,0.35,0.13333333333333333,correct shape but wrong color,False,False inking,40,rpm,4,20,3,5,0.25,0.15,-0.13333333333333333,8,False,False inking,40,rpm,5,20,2,11,0.55,0.1,-1.0,9,False,False inking,40,shadow_inference,1,20,15,10,0.5,0.75,0.5,2,False,False inking,40,shadow_inference,2,20,5,7,0.35,0.25,-0.15384615384615385,right,False,False inking,40,shadow_inference,3,20,11,7,0.35,0.55,0.3076923076923077,low,False,False inking,40,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False inking,40,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False inking,40,surface_topology,1,20,15,8,0.4,0.75,0.5833333333333334,3,False,False inking,40,surface_topology,2,20,15,18,0.9,0.75,-1.5,orientable,False,False inking,40,surface_topology,3,20,8,7,0.35,0.4,0.07692307692307693,0,False,False inking,40,surface_topology,4,20,7,8,0.4,0.35,-0.08333333333333333,-4; orientable,False,False inking,40,surface_topology,5,20,3,8,0.4,0.15,-0.4166666666666667,-5,False,False inking,40,symmetry_pattern,1,20,4,11,0.55,0.2,-0.7777777777777778,8,False,False inking,40,symmetry_pattern,2,20,13,11,0.55,0.65,0.2222222222222222,broken,False,False inking,40,symmetry_pattern,3,20,3,6,0.3,0.15,-0.21428571428571427,mirror,False,False inking,40,symmetry_pattern,4,20,1,7,0.35,0.05,-0.46153846153846156,8,False,False inking,40,symmetry_pattern,5,20,20,20,1.0,1.0,,yes,True,False muse_glimmer_30b,0,angle_estimation,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False muse_glimmer_30b,0,angle_estimation,2,20,16,4,0.2,0.8,0.75,Angle 2,False,False muse_glimmer_30b,0,angle_estimation,3,20,12,6,0.3,0.6,0.42857142857142855,greater than,False,False muse_glimmer_30b,0,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False muse_glimmer_30b,0,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False muse_glimmer_30b,0,clock_reading,1,20,9,4,0.2,0.45,0.3125,10,False,False muse_glimmer_30b,0,clock_reading,2,20,16,10,0.5,0.8,0.6,after,False,False muse_glimmer_30b,0,clock_reading,3,20,1,1,0.05,0.05,0.0,02:15,False,False muse_glimmer_30b,0,clock_reading,4,20,4,1,0.05,0.2,0.15789473684210525,123,False,False muse_glimmer_30b,0,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False muse_glimmer_30b,0,combination,1,20,15,7,0.35,0.75,0.6153846153846154,10,False,False muse_glimmer_30b,0,combination,2,20,1,13,0.65,0.05,-1.7142857142857142,C,False,False muse_glimmer_30b,0,combination,3,20,13,8,0.4,0.65,0.4166666666666667,yes,False,False muse_glimmer_30b,0,combination,4,20,3,7,0.35,0.15,-0.3076923076923077,B,False,False muse_glimmer_30b,0,combination,5,20,15,14,0.7,0.75,0.16666666666666666,connected,False,False muse_glimmer_30b,0,combination3d,1,20,4,7,0.35,0.2,-0.23076923076923078,14,False,False muse_glimmer_30b,0,combination3d,2,20,8,7,0.35,0.4,0.07692307692307693,B,False,False muse_glimmer_30b,0,combination3d,3,20,9,10,0.5,0.45,-0.1,yes,False,False muse_glimmer_30b,0,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False muse_glimmer_30b,0,combination3d,5,20,12,10,0.5,0.6,0.2,"same shape, different angle",False,False muse_glimmer_30b,0,compass_bearing,1,20,19,13,0.65,0.95,0.8571428571428571,3,False,False muse_glimmer_30b,0,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False muse_glimmer_30b,0,compass_bearing,3,20,5,2,0.1,0.25,0.16666666666666666,020,False,False muse_glimmer_30b,0,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False muse_glimmer_30b,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False muse_glimmer_30b,0,coordinate_geometry,1,20,13,2,0.1,0.65,0.6111111111111112,"(-6, -2)",False,False muse_glimmer_30b,0,coordinate_geometry,2,20,11,3,0.15,0.55,0.47058823529411764,4.47,False,False muse_glimmer_30b,0,coordinate_geometry,3,20,2,5,0.25,0.1,-0.2,A and B,False,False muse_glimmer_30b,0,coordinate_geometry,4,20,17,6,0.3,0.85,0.7857142857142857,less than,False,False muse_glimmer_30b,0,coordinate_geometry,5,20,13,3,0.15,0.65,0.5882352941176471,3.16,False,False muse_glimmer_30b,0,cube_net,1,20,20,20,1.0,1.0,,6,True,False muse_glimmer_30b,0,cube_net,2,20,17,9,0.45,0.85,0.7272727272727273,E,False,False muse_glimmer_30b,0,cube_net,3,20,4,4,0.2,0.2,0.0,2,False,False muse_glimmer_30b,0,cube_net,4,20,11,11,0.55,0.55,0.0,adjacent,False,False muse_glimmer_30b,0,cube_net,5,20,4,18,0.9,0.2,-7.0,no,False,False muse_glimmer_30b,0,cube_structure,1,20,2,6,0.3,0.1,-0.2857142857142857,12,False,False muse_glimmer_30b,0,cube_structure,2,20,1,4,0.2,0.05,-0.1875,10,False,False muse_glimmer_30b,0,cube_structure,3,20,11,10,0.5,0.55,0.1,1,False,False muse_glimmer_30b,0,cube_structure,4,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False muse_glimmer_30b,0,cube_structure,5,20,0,8,0.4,0.0,-0.6666666666666666,2,False,False muse_glimmer_30b,0,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False muse_glimmer_30b,0,depth_height,2,20,2,6,0.3,0.1,-0.2857142857142857,magenta,False,False muse_glimmer_30b,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False muse_glimmer_30b,0,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False muse_glimmer_30b,0,depth_height,5,20,17,11,0.55,0.85,0.6666666666666666,smaller,False,False muse_glimmer_30b,0,embedded_figures,1,20,2,6,0.3,0.1,-0.2857142857142857,13,False,False muse_glimmer_30b,0,embedded_figures,2,20,8,10,0.5,0.4,-0.2,6,False,False muse_glimmer_30b,0,embedded_figures,3,20,8,10,0.5,0.4,-0.2,D,False,False muse_glimmer_30b,0,embedded_figures,4,20,7,7,0.35,0.35,0.0,6,False,False muse_glimmer_30b,0,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False muse_glimmer_30b,0,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False muse_glimmer_30b,0,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False muse_glimmer_30b,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False muse_glimmer_30b,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False muse_glimmer_30b,0,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False muse_glimmer_30b,0,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False muse_glimmer_30b,0,fold_punch,2,20,0,12,0.6,0.0,-1.5,8,False,False muse_glimmer_30b,0,fold_punch,3,20,0,7,0.35,0.0,-0.5384615384615384,B,False,False muse_glimmer_30b,0,fold_punch,4,20,2,7,0.35,0.1,-0.38461538461538464,exactly half,False,False muse_glimmer_30b,0,fold_punch,5,20,2,10,0.5,0.1,-0.8,16,False,False muse_glimmer_30b,0,gauge_reading,1,20,19,15,0.75,0.95,0.8,0,False,False muse_glimmer_30b,0,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False muse_glimmer_30b,0,gauge_reading,3,20,19,2,0.1,0.95,0.9444444444444444,100,False,False muse_glimmer_30b,0,gauge_reading,4,20,3,14,0.7,0.15,-1.8333333333333333,no danger zone marked,False,False muse_glimmer_30b,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False muse_glimmer_30b,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False muse_glimmer_30b,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False muse_glimmer_30b,0,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False muse_glimmer_30b,0,gear_train,4,20,12,1,0.05,0.6,0.5789473684210527,101.8,False,False muse_glimmer_30b,0,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False muse_glimmer_30b,0,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False muse_glimmer_30b,0,hex_pathfinding,2,20,18,11,0.55,0.9,0.7777777777777778,walkable,False,False muse_glimmer_30b,0,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False muse_glimmer_30b,0,hex_pathfinding,4,20,4,5,0.25,0.2,-0.06666666666666667,multiple (4),False,False muse_glimmer_30b,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False muse_glimmer_30b,0,impossible_object,1,20,3,11,0.55,0.15,-0.8888888888888888,5,False,False muse_glimmer_30b,0,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False muse_glimmer_30b,0,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False muse_glimmer_30b,0,impossible_object,4,20,2,8,0.4,0.1,-0.5,6,False,False muse_glimmer_30b,0,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False muse_glimmer_30b,0,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False muse_glimmer_30b,0,laser_mirror,2,20,6,14,0.7,0.3,-1.3333333333333333,yes,False,False muse_glimmer_30b,0,laser_mirror,3,20,0,8,0.4,0.0,-0.6666666666666666,1,False,False muse_glimmer_30b,0,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False muse_glimmer_30b,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False muse_glimmer_30b,0,line_intersection,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False muse_glimmer_30b,0,line_intersection,2,20,19,7,0.35,0.95,0.9230769230769231,0,False,False muse_glimmer_30b,0,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False muse_glimmer_30b,0,line_intersection,4,20,18,4,0.2,0.9,0.875,"0,0",False,False muse_glimmer_30b,0,line_intersection,5,20,13,10,0.5,0.65,0.3,0,False,False muse_glimmer_30b,0,nested_hexagons,1,20,11,5,0.25,0.55,0.4,4,False,False muse_glimmer_30b,0,nested_hexagons,2,20,13,13,0.65,0.65,0.0,constant,False,False muse_glimmer_30b,0,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False muse_glimmer_30b,0,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False muse_glimmer_30b,0,nested_hexagons,5,20,10,10,0.5,0.5,0.0,no,False,False muse_glimmer_30b,0,nested_squares,1,20,12,4,0.2,0.6,0.5,5,False,False muse_glimmer_30b,0,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False muse_glimmer_30b,0,nested_squares,3,20,1,2,0.1,0.05,-0.05555555555555555,5.3,False,False muse_glimmer_30b,0,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False muse_glimmer_30b,0,nested_squares,5,20,9,12,0.6,0.45,-0.375,yes,False,False muse_glimmer_30b,0,nested_triangles,1,20,15,6,0.3,0.75,0.6428571428571429,4,False,False muse_glimmer_30b,0,nested_triangles,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False muse_glimmer_30b,0,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False muse_glimmer_30b,0,nested_triangles,4,20,0,2,0.1,0.0,-0.1111111111111111,75,False,False muse_glimmer_30b,0,nested_triangles,5,20,9,12,0.6,0.45,-0.375,yes,False,False muse_glimmer_30b,0,occluded_pattern,1,20,17,4,0.2,0.85,0.8125,8,False,False muse_glimmer_30b,0,occluded_pattern,2,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False muse_glimmer_30b,0,occluded_pattern,3,20,13,9,0.45,0.65,0.36363636363636365,circle,False,False muse_glimmer_30b,0,occluded_pattern,4,20,5,6,0.3,0.25,-0.07142857142857142,2,False,False muse_glimmer_30b,0,occluded_pattern,5,20,2,5,0.25,0.1,-0.2,11,False,False muse_glimmer_30b,0,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False muse_glimmer_30b,0,optical_illusion,2,20,12,12,0.6,0.6,0.0,B,False,False muse_glimmer_30b,0,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False muse_glimmer_30b,0,optical_illusion,4,20,7,9,0.45,0.35,-0.18181818181818182,0,False,False muse_glimmer_30b,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False muse_glimmer_30b,0,orthographic,1,20,20,6,0.3,1.0,1.0,6,False,False muse_glimmer_30b,0,orthographic,2,20,0,5,0.25,0.0,-0.3333333333333333,9,False,False muse_glimmer_30b,0,orthographic,3,20,6,5,0.25,0.3,0.06666666666666667,front,False,False muse_glimmer_30b,0,orthographic,4,20,8,8,0.4,0.4,0.0,not unique,False,False muse_glimmer_30b,0,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False muse_glimmer_30b,0,overlap_circles,1,20,8,5,0.25,0.4,0.2,10,False,False muse_glimmer_30b,0,overlap_circles,2,20,12,11,0.55,0.6,0.1111111111111111,no,False,False muse_glimmer_30b,0,overlap_circles,3,20,5,3,0.15,0.25,0.11764705882352941,1.8,False,False muse_glimmer_30b,0,overlap_circles,4,20,9,6,0.3,0.45,0.21428571428571427,0,False,False muse_glimmer_30b,0,overlap_circles,5,20,7,4,0.2,0.35,0.1875,17,False,False muse_glimmer_30b,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False muse_glimmer_30b,0,physical_stability,2,20,13,11,0.55,0.65,0.2222222222222222,right,False,False muse_glimmer_30b,0,physical_stability,3,20,20,10,0.5,1.0,1.0,D,False,False muse_glimmer_30b,0,physical_stability,4,20,4,8,0.4,0.2,-0.3333333333333333,stable,False,False muse_glimmer_30b,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False muse_glimmer_30b,0,polyhedron,1,20,8,8,0.4,0.4,0.0,14,False,False muse_glimmer_30b,0,polyhedron,2,20,17,19,0.95,0.85,-2.0,convex,False,False muse_glimmer_30b,0,polyhedron,3,20,5,7,0.35,0.25,-0.15384615384615385,mixed,False,False muse_glimmer_30b,0,polyhedron,4,20,15,6,0.3,0.75,0.6428571428571429,no,False,False muse_glimmer_30b,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False muse_glimmer_30b,0,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False muse_glimmer_30b,0,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False muse_glimmer_30b,0,projectile_motion,3,20,11,1,0.05,0.55,0.5263157894736842,13.4,False,False muse_glimmer_30b,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False muse_glimmer_30b,0,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False muse_glimmer_30b,0,rotation_matching,1,20,10,8,0.4,0.5,0.16666666666666666,7,False,False muse_glimmer_30b,0,rotation_matching,2,20,6,6,0.3,0.3,0.0,B,False,False muse_glimmer_30b,0,rotation_matching,3,20,3,4,0.2,0.15,-0.0625,315,False,False muse_glimmer_30b,0,rotation_matching,4,20,3,7,0.35,0.15,-0.3076923076923077,A,False,False muse_glimmer_30b,0,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False muse_glimmer_30b,0,route,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False muse_glimmer_30b,0,route,2,20,4,11,0.55,0.2,-0.7777777777777778,1,False,False muse_glimmer_30b,0,route,3,20,2,5,0.25,0.1,-0.2,4,False,False muse_glimmer_30b,0,route,4,20,1,1,0.05,0.05,0.0,AC,False,False muse_glimmer_30b,0,route,5,20,5,6,0.3,0.25,-0.07142857142857142,4,False,False muse_glimmer_30b,0,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False muse_glimmer_30b,0,rpm,2,20,13,4,0.2,0.65,0.5625,1,False,False muse_glimmer_30b,0,rpm,3,20,10,5,0.25,0.5,0.3333333333333333,correct shape but wrong color,False,False muse_glimmer_30b,0,rpm,4,20,4,5,0.25,0.2,-0.06666666666666667,8,False,False muse_glimmer_30b,0,rpm,5,20,6,11,0.55,0.3,-0.5555555555555556,9,False,False muse_glimmer_30b,0,shadow_inference,1,20,17,10,0.5,0.85,0.7,2,False,False muse_glimmer_30b,0,shadow_inference,2,20,17,7,0.35,0.85,0.7692307692307693,right,False,False muse_glimmer_30b,0,shadow_inference,3,20,15,7,0.35,0.75,0.6153846153846154,low,False,False muse_glimmer_30b,0,shadow_inference,4,20,4,8,0.4,0.2,-0.3333333333333333,same,False,False muse_glimmer_30b,0,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False muse_glimmer_30b,0,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False muse_glimmer_30b,0,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False muse_glimmer_30b,0,surface_topology,3,20,8,7,0.35,0.4,0.07692307692307693,0,False,False muse_glimmer_30b,0,surface_topology,4,20,14,8,0.4,0.7,0.5,-4; orientable,False,False muse_glimmer_30b,0,surface_topology,5,20,12,8,0.4,0.6,0.3333333333333333,-5,False,False muse_glimmer_30b,0,symmetry_pattern,1,20,19,11,0.55,0.95,0.8888888888888888,8,False,False muse_glimmer_30b,0,symmetry_pattern,2,20,14,11,0.55,0.7,0.3333333333333333,broken,False,False muse_glimmer_30b,0,symmetry_pattern,3,20,9,6,0.3,0.45,0.21428571428571427,mirror,False,False muse_glimmer_30b,0,symmetry_pattern,4,20,3,7,0.35,0.15,-0.3076923076923077,8,False,False muse_glimmer_30b,0,symmetry_pattern,5,20,11,20,1.0,0.55,,yes,True,False muse_glimmer_30b,15,angle_estimation,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False muse_glimmer_30b,15,angle_estimation,2,20,13,4,0.2,0.65,0.5625,Angle 2,False,False muse_glimmer_30b,15,angle_estimation,3,20,11,6,0.3,0.55,0.35714285714285715,greater than,False,False muse_glimmer_30b,15,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False muse_glimmer_30b,15,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False muse_glimmer_30b,15,clock_reading,1,20,8,4,0.2,0.4,0.25,10,False,False muse_glimmer_30b,15,clock_reading,2,20,16,10,0.5,0.8,0.6,after,False,False muse_glimmer_30b,15,clock_reading,3,20,2,1,0.05,0.1,0.05263157894736842,02:15,False,False muse_glimmer_30b,15,clock_reading,4,20,2,1,0.05,0.1,0.05263157894736842,123,False,False muse_glimmer_30b,15,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False muse_glimmer_30b,15,combination,1,20,13,7,0.35,0.65,0.46153846153846156,10,False,False muse_glimmer_30b,15,combination,2,20,0,13,0.65,0.0,-1.8571428571428572,C,False,False muse_glimmer_30b,15,combination,3,20,13,8,0.4,0.65,0.4166666666666667,yes,False,False muse_glimmer_30b,15,combination,4,20,0,7,0.35,0.0,-0.5384615384615384,B,False,False muse_glimmer_30b,15,combination,5,20,15,14,0.7,0.75,0.16666666666666666,connected,False,False muse_glimmer_30b,15,combination3d,1,20,1,7,0.35,0.05,-0.46153846153846156,14,False,False muse_glimmer_30b,15,combination3d,2,20,7,7,0.35,0.35,0.0,B,False,False muse_glimmer_30b,15,combination3d,3,20,9,10,0.5,0.45,-0.1,yes,False,False muse_glimmer_30b,15,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False muse_glimmer_30b,15,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False muse_glimmer_30b,15,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False muse_glimmer_30b,15,compass_bearing,2,20,18,9,0.45,0.9,0.8181818181818182,north,False,False muse_glimmer_30b,15,compass_bearing,3,20,4,2,0.1,0.2,0.1111111111111111,020,False,False muse_glimmer_30b,15,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False muse_glimmer_30b,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False muse_glimmer_30b,15,coordinate_geometry,1,20,12,2,0.1,0.6,0.5555555555555556,"(-6, -2)",False,False muse_glimmer_30b,15,coordinate_geometry,2,20,7,3,0.15,0.35,0.23529411764705882,4.47,False,False muse_glimmer_30b,15,coordinate_geometry,3,20,0,5,0.25,0.0,-0.3333333333333333,A and B,False,False muse_glimmer_30b,15,coordinate_geometry,4,20,18,6,0.3,0.9,0.8571428571428571,less than,False,False muse_glimmer_30b,15,coordinate_geometry,5,20,7,3,0.15,0.35,0.23529411764705882,3.16,False,False muse_glimmer_30b,15,cube_net,1,20,20,20,1.0,1.0,,6,True,False muse_glimmer_30b,15,cube_net,2,20,16,9,0.45,0.8,0.6363636363636364,E,False,False muse_glimmer_30b,15,cube_net,3,20,5,4,0.2,0.25,0.0625,2,False,False muse_glimmer_30b,15,cube_net,4,20,14,11,0.55,0.7,0.3333333333333333,adjacent,False,False muse_glimmer_30b,15,cube_net,5,20,0,18,0.9,0.0,-9.0,no,False,False muse_glimmer_30b,15,cube_structure,1,20,1,6,0.3,0.05,-0.35714285714285715,12,False,False muse_glimmer_30b,15,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False muse_glimmer_30b,15,cube_structure,3,20,11,10,0.5,0.55,0.1,1,False,False muse_glimmer_30b,15,cube_structure,4,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False muse_glimmer_30b,15,cube_structure,5,20,0,8,0.4,0.0,-0.6666666666666666,2,False,False muse_glimmer_30b,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False muse_glimmer_30b,15,depth_height,2,20,2,6,0.3,0.1,-0.2857142857142857,magenta,False,False muse_glimmer_30b,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False muse_glimmer_30b,15,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False muse_glimmer_30b,15,depth_height,5,20,17,11,0.55,0.85,0.6666666666666666,smaller,False,False muse_glimmer_30b,15,embedded_figures,1,20,0,6,0.3,0.0,-0.42857142857142855,13,False,False muse_glimmer_30b,15,embedded_figures,2,20,8,10,0.5,0.4,-0.2,6,False,False muse_glimmer_30b,15,embedded_figures,3,20,7,10,0.5,0.35,-0.3,D,False,False muse_glimmer_30b,15,embedded_figures,4,20,5,7,0.35,0.25,-0.15384615384615385,6,False,False muse_glimmer_30b,15,embedded_figures,5,20,12,13,0.65,0.6,-0.14285714285714285,open,False,False muse_glimmer_30b,15,fbd,1,20,17,8,0.4,0.85,0.75,4,False,False muse_glimmer_30b,15,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False muse_glimmer_30b,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False muse_glimmer_30b,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False muse_glimmer_30b,15,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False muse_glimmer_30b,15,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False muse_glimmer_30b,15,fold_punch,2,20,1,12,0.6,0.05,-1.375,8,False,False muse_glimmer_30b,15,fold_punch,3,20,0,7,0.35,0.0,-0.5384615384615384,B,False,False muse_glimmer_30b,15,fold_punch,4,20,2,7,0.35,0.1,-0.38461538461538464,exactly half,False,False muse_glimmer_30b,15,fold_punch,5,20,4,10,0.5,0.2,-0.6,16,False,False muse_glimmer_30b,15,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False muse_glimmer_30b,15,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False muse_glimmer_30b,15,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False muse_glimmer_30b,15,gauge_reading,4,20,3,14,0.7,0.15,-1.8333333333333333,no danger zone marked,False,False muse_glimmer_30b,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False muse_glimmer_30b,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False muse_glimmer_30b,15,gear_train,2,20,1,20,1.0,0.05,,opposite,True,False muse_glimmer_30b,15,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False muse_glimmer_30b,15,gear_train,4,20,12,1,0.05,0.6,0.5789473684210527,101.8,False,False muse_glimmer_30b,15,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False muse_glimmer_30b,15,hex_pathfinding,1,20,1,3,0.15,0.05,-0.11764705882352941,5,False,False muse_glimmer_30b,15,hex_pathfinding,2,20,19,11,0.55,0.95,0.8888888888888888,walkable,False,False muse_glimmer_30b,15,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False muse_glimmer_30b,15,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False muse_glimmer_30b,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False muse_glimmer_30b,15,impossible_object,1,20,4,11,0.55,0.2,-0.7777777777777778,5,False,False muse_glimmer_30b,15,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False muse_glimmer_30b,15,impossible_object,3,20,7,7,0.35,0.35,0.0,C,False,False muse_glimmer_30b,15,impossible_object,4,20,4,8,0.4,0.2,-0.3333333333333333,6,False,False muse_glimmer_30b,15,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False muse_glimmer_30b,15,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False muse_glimmer_30b,15,laser_mirror,2,20,7,14,0.7,0.35,-1.1666666666666667,yes,False,False muse_glimmer_30b,15,laser_mirror,3,20,0,8,0.4,0.0,-0.6666666666666666,1,False,False muse_glimmer_30b,15,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False muse_glimmer_30b,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False muse_glimmer_30b,15,line_intersection,1,20,15,7,0.35,0.75,0.6153846153846154,2,False,False muse_glimmer_30b,15,line_intersection,2,20,18,7,0.35,0.9,0.8461538461538461,0,False,False muse_glimmer_30b,15,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False muse_glimmer_30b,15,line_intersection,4,20,16,4,0.2,0.8,0.75,"0,0",False,False muse_glimmer_30b,15,line_intersection,5,20,14,10,0.5,0.7,0.4,0,False,False muse_glimmer_30b,15,nested_hexagons,1,20,10,5,0.25,0.5,0.3333333333333333,4,False,False muse_glimmer_30b,15,nested_hexagons,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False muse_glimmer_30b,15,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False muse_glimmer_30b,15,nested_hexagons,4,20,2,5,0.25,0.1,-0.2,0,False,False muse_glimmer_30b,15,nested_hexagons,5,20,14,10,0.5,0.7,0.4,no,False,False muse_glimmer_30b,15,nested_squares,1,20,14,4,0.2,0.7,0.625,5,False,False muse_glimmer_30b,15,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False muse_glimmer_30b,15,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False muse_glimmer_30b,15,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False muse_glimmer_30b,15,nested_squares,5,20,15,12,0.6,0.75,0.375,yes,False,False muse_glimmer_30b,15,nested_triangles,1,20,15,6,0.3,0.75,0.6428571428571429,4,False,False muse_glimmer_30b,15,nested_triangles,2,20,13,13,0.65,0.65,0.0,constant,False,False muse_glimmer_30b,15,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False muse_glimmer_30b,15,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False muse_glimmer_30b,15,nested_triangles,5,20,7,12,0.6,0.35,-0.625,yes,False,False muse_glimmer_30b,15,occluded_pattern,1,20,17,4,0.2,0.85,0.8125,8,False,False muse_glimmer_30b,15,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False muse_glimmer_30b,15,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False muse_glimmer_30b,15,occluded_pattern,4,20,3,6,0.3,0.15,-0.21428571428571427,2,False,False muse_glimmer_30b,15,occluded_pattern,5,20,3,5,0.25,0.15,-0.13333333333333333,11,False,False muse_glimmer_30b,15,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False muse_glimmer_30b,15,optical_illusion,2,20,11,12,0.6,0.55,-0.125,B,False,False muse_glimmer_30b,15,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False muse_glimmer_30b,15,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False muse_glimmer_30b,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False muse_glimmer_30b,15,orthographic,1,20,17,6,0.3,0.85,0.7857142857142857,6,False,False muse_glimmer_30b,15,orthographic,2,20,0,5,0.25,0.0,-0.3333333333333333,9,False,False muse_glimmer_30b,15,orthographic,3,20,2,5,0.25,0.1,-0.2,front,False,False muse_glimmer_30b,15,orthographic,4,20,7,8,0.4,0.35,-0.08333333333333333,not unique,False,False muse_glimmer_30b,15,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False muse_glimmer_30b,15,overlap_circles,1,20,8,5,0.25,0.4,0.2,10,False,False muse_glimmer_30b,15,overlap_circles,2,20,13,11,0.55,0.65,0.2222222222222222,no,False,False muse_glimmer_30b,15,overlap_circles,3,20,6,3,0.15,0.3,0.17647058823529413,1.8,False,False muse_glimmer_30b,15,overlap_circles,4,20,10,6,0.3,0.5,0.2857142857142857,0,False,False muse_glimmer_30b,15,overlap_circles,5,20,3,4,0.2,0.15,-0.0625,17,False,False muse_glimmer_30b,15,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False muse_glimmer_30b,15,physical_stability,2,20,10,11,0.55,0.5,-0.1111111111111111,right,False,False muse_glimmer_30b,15,physical_stability,3,20,19,10,0.5,0.95,0.9,D,False,False muse_glimmer_30b,15,physical_stability,4,20,2,8,0.4,0.1,-0.5,stable,False,False muse_glimmer_30b,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False muse_glimmer_30b,15,polyhedron,1,20,6,8,0.4,0.3,-0.16666666666666666,14,False,False muse_glimmer_30b,15,polyhedron,2,20,18,19,0.95,0.9,-1.0,convex,False,False muse_glimmer_30b,15,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False muse_glimmer_30b,15,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False muse_glimmer_30b,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False muse_glimmer_30b,15,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False muse_glimmer_30b,15,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False muse_glimmer_30b,15,projectile_motion,3,20,10,1,0.05,0.5,0.47368421052631576,13.4,False,False muse_glimmer_30b,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False muse_glimmer_30b,15,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False muse_glimmer_30b,15,rotation_matching,1,20,13,8,0.4,0.65,0.4166666666666667,7,False,False muse_glimmer_30b,15,rotation_matching,2,20,7,6,0.3,0.35,0.07142857142857142,B,False,False muse_glimmer_30b,15,rotation_matching,3,20,3,4,0.2,0.15,-0.0625,315,False,False muse_glimmer_30b,15,rotation_matching,4,20,3,7,0.35,0.15,-0.3076923076923077,A,False,False muse_glimmer_30b,15,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False muse_glimmer_30b,15,route,1,20,16,6,0.3,0.8,0.7142857142857143,6,False,False muse_glimmer_30b,15,route,2,20,3,11,0.55,0.15,-0.8888888888888888,1,False,False muse_glimmer_30b,15,route,3,20,3,5,0.25,0.15,-0.13333333333333333,4,False,False muse_glimmer_30b,15,route,4,20,0,1,0.05,0.0,-0.05263157894736842,AC,False,False muse_glimmer_30b,15,route,5,20,5,6,0.3,0.25,-0.07142857142857142,4,False,False muse_glimmer_30b,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False muse_glimmer_30b,15,rpm,2,20,12,4,0.2,0.6,0.5,1,False,False muse_glimmer_30b,15,rpm,3,20,9,5,0.25,0.45,0.26666666666666666,correct shape but wrong color,False,False muse_glimmer_30b,15,rpm,4,20,4,5,0.25,0.2,-0.06666666666666667,8,False,False muse_glimmer_30b,15,rpm,5,20,6,11,0.55,0.3,-0.5555555555555556,9,False,False muse_glimmer_30b,15,shadow_inference,1,20,11,10,0.5,0.55,0.1,2,False,False muse_glimmer_30b,15,shadow_inference,2,20,10,7,0.35,0.5,0.23076923076923078,right,False,False muse_glimmer_30b,15,shadow_inference,3,20,11,7,0.35,0.55,0.3076923076923077,low,False,False muse_glimmer_30b,15,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False muse_glimmer_30b,15,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False muse_glimmer_30b,15,surface_topology,1,20,17,8,0.4,0.85,0.75,3,False,False muse_glimmer_30b,15,surface_topology,2,20,18,18,0.9,0.9,0.0,orientable,False,False muse_glimmer_30b,15,surface_topology,3,20,7,7,0.35,0.35,0.0,0,False,False muse_glimmer_30b,15,surface_topology,4,20,16,8,0.4,0.8,0.6666666666666666,-4; orientable,False,False muse_glimmer_30b,15,surface_topology,5,20,10,8,0.4,0.5,0.16666666666666666,-5,False,False muse_glimmer_30b,15,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False muse_glimmer_30b,15,symmetry_pattern,2,20,12,11,0.55,0.6,0.1111111111111111,broken,False,False muse_glimmer_30b,15,symmetry_pattern,3,20,10,6,0.3,0.5,0.2857142857142857,mirror,False,False muse_glimmer_30b,15,symmetry_pattern,4,20,3,7,0.35,0.15,-0.3076923076923077,8,False,False muse_glimmer_30b,15,symmetry_pattern,5,20,12,20,1.0,0.6,,yes,True,False muse_glimmer_30b,25,angle_estimation,1,20,17,7,0.35,0.85,0.7692307692307693,2,False,False muse_glimmer_30b,25,angle_estimation,2,20,14,4,0.2,0.7,0.625,Angle 2,False,False muse_glimmer_30b,25,angle_estimation,3,20,11,6,0.3,0.55,0.35714285714285715,greater than,False,False muse_glimmer_30b,25,angle_estimation,4,20,5,4,0.2,0.25,0.0625,180,False,False muse_glimmer_30b,25,angle_estimation,5,20,3,6,0.3,0.15,-0.21428571428571427,exceeds 180,False,False muse_glimmer_30b,25,clock_reading,1,20,10,4,0.2,0.5,0.375,10,False,False muse_glimmer_30b,25,clock_reading,2,20,19,10,0.5,0.95,0.9,after,False,False muse_glimmer_30b,25,clock_reading,3,20,3,1,0.05,0.15,0.10526315789473684,02:15,False,False muse_glimmer_30b,25,clock_reading,4,20,1,1,0.05,0.05,0.0,123,False,False muse_glimmer_30b,25,clock_reading,5,20,1,1,0.05,0.05,0.0,104,False,False muse_glimmer_30b,25,combination,1,20,14,7,0.35,0.7,0.5384615384615384,10,False,False muse_glimmer_30b,25,combination,2,20,1,13,0.65,0.05,-1.7142857142857142,C,False,False muse_glimmer_30b,25,combination,3,20,12,8,0.4,0.6,0.3333333333333333,yes,False,False muse_glimmer_30b,25,combination,4,20,2,7,0.35,0.1,-0.38461538461538464,B,False,False muse_glimmer_30b,25,combination,5,20,17,14,0.7,0.85,0.5,connected,False,False muse_glimmer_30b,25,combination3d,1,20,6,7,0.35,0.3,-0.07692307692307693,14,False,False muse_glimmer_30b,25,combination3d,2,20,10,7,0.35,0.5,0.23076923076923078,B,False,False muse_glimmer_30b,25,combination3d,3,20,11,10,0.5,0.55,0.1,yes,False,False muse_glimmer_30b,25,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False muse_glimmer_30b,25,combination3d,5,20,9,10,0.5,0.45,-0.1,"same shape, different angle",False,False muse_glimmer_30b,25,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False muse_glimmer_30b,25,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False muse_glimmer_30b,25,compass_bearing,3,20,4,2,0.1,0.2,0.1111111111111111,020,False,False muse_glimmer_30b,25,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False muse_glimmer_30b,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False muse_glimmer_30b,25,coordinate_geometry,1,20,4,2,0.1,0.2,0.1111111111111111,"(-6, -2)",False,False muse_glimmer_30b,25,coordinate_geometry,2,20,4,3,0.15,0.2,0.058823529411764705,4.47,False,False muse_glimmer_30b,25,coordinate_geometry,3,20,0,5,0.25,0.0,-0.3333333333333333,A and B,False,False muse_glimmer_30b,25,coordinate_geometry,4,20,16,6,0.3,0.8,0.7142857142857143,less than,False,False muse_glimmer_30b,25,coordinate_geometry,5,20,5,3,0.15,0.25,0.11764705882352941,3.16,False,False muse_glimmer_30b,25,cube_net,1,20,20,20,1.0,1.0,,6,True,False muse_glimmer_30b,25,cube_net,2,20,18,9,0.45,0.9,0.8181818181818182,E,False,False muse_glimmer_30b,25,cube_net,3,20,9,4,0.2,0.45,0.3125,2,False,False muse_glimmer_30b,25,cube_net,4,20,13,11,0.55,0.65,0.2222222222222222,adjacent,False,False muse_glimmer_30b,25,cube_net,5,20,3,18,0.9,0.15,-7.5,no,False,False muse_glimmer_30b,25,cube_structure,1,20,2,6,0.3,0.1,-0.2857142857142857,12,False,False muse_glimmer_30b,25,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False muse_glimmer_30b,25,cube_structure,3,20,16,10,0.5,0.8,0.6,1,False,False muse_glimmer_30b,25,cube_structure,4,20,2,8,0.4,0.1,-0.5,2,False,False muse_glimmer_30b,25,cube_structure,5,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False muse_glimmer_30b,25,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False muse_glimmer_30b,25,depth_height,2,20,2,6,0.3,0.1,-0.2857142857142857,magenta,False,False muse_glimmer_30b,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False muse_glimmer_30b,25,depth_height,4,20,3,2,0.1,0.15,0.05555555555555555,0.77,False,False muse_glimmer_30b,25,depth_height,5,20,16,11,0.55,0.8,0.5555555555555556,smaller,False,False muse_glimmer_30b,25,embedded_figures,1,20,3,6,0.3,0.15,-0.21428571428571427,13,False,False muse_glimmer_30b,25,embedded_figures,2,20,7,10,0.5,0.35,-0.3,6,False,False muse_glimmer_30b,25,embedded_figures,3,20,11,10,0.5,0.55,0.1,D,False,False muse_glimmer_30b,25,embedded_figures,4,20,5,7,0.35,0.25,-0.15384615384615385,6,False,False muse_glimmer_30b,25,embedded_figures,5,20,12,13,0.65,0.6,-0.14285714285714285,open,False,False muse_glimmer_30b,25,fbd,1,20,18,8,0.4,0.9,0.8333333333333334,4,False,False muse_glimmer_30b,25,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False muse_glimmer_30b,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False muse_glimmer_30b,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False muse_glimmer_30b,25,fbd,5,20,4,9,0.45,0.2,-0.45454545454545453,"downward (270 degrees; 0=right, 90=up)",False,False muse_glimmer_30b,25,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False muse_glimmer_30b,25,fold_punch,2,20,1,12,0.6,0.05,-1.375,8,False,False muse_glimmer_30b,25,fold_punch,3,20,0,7,0.35,0.0,-0.5384615384615384,B,False,False muse_glimmer_30b,25,fold_punch,4,20,4,7,0.35,0.2,-0.23076923076923078,exactly half,False,False muse_glimmer_30b,25,fold_punch,5,20,6,10,0.5,0.3,-0.4,16,False,False muse_glimmer_30b,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False muse_glimmer_30b,25,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False muse_glimmer_30b,25,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False muse_glimmer_30b,25,gauge_reading,4,20,2,14,0.7,0.1,-2.0,no danger zone marked,False,False muse_glimmer_30b,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False muse_glimmer_30b,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False muse_glimmer_30b,25,gear_train,2,20,1,20,1.0,0.05,,opposite,True,False muse_glimmer_30b,25,gear_train,3,20,19,6,0.3,0.95,0.9285714285714286,C,False,False muse_glimmer_30b,25,gear_train,4,20,13,1,0.05,0.65,0.631578947368421,101.8,False,False muse_glimmer_30b,25,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False muse_glimmer_30b,25,hex_pathfinding,1,20,5,3,0.15,0.25,0.11764705882352941,5,False,False muse_glimmer_30b,25,hex_pathfinding,2,20,16,11,0.55,0.8,0.5555555555555556,walkable,False,False muse_glimmer_30b,25,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False muse_glimmer_30b,25,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False muse_glimmer_30b,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False muse_glimmer_30b,25,impossible_object,1,20,5,11,0.55,0.25,-0.6666666666666666,5,False,False muse_glimmer_30b,25,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False muse_glimmer_30b,25,impossible_object,3,20,4,7,0.35,0.2,-0.23076923076923078,C,False,False muse_glimmer_30b,25,impossible_object,4,20,2,8,0.4,0.1,-0.5,6,False,False muse_glimmer_30b,25,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False muse_glimmer_30b,25,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False muse_glimmer_30b,25,laser_mirror,2,20,8,14,0.7,0.4,-1.0,yes,False,False muse_glimmer_30b,25,laser_mirror,3,20,0,8,0.4,0.0,-0.6666666666666666,1,False,False muse_glimmer_30b,25,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False muse_glimmer_30b,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False muse_glimmer_30b,25,line_intersection,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False muse_glimmer_30b,25,line_intersection,2,20,18,7,0.35,0.9,0.8461538461538461,0,False,False muse_glimmer_30b,25,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False muse_glimmer_30b,25,line_intersection,4,20,16,4,0.2,0.8,0.75,"0,0",False,False muse_glimmer_30b,25,line_intersection,5,20,13,10,0.5,0.65,0.3,0,False,False muse_glimmer_30b,25,nested_hexagons,1,20,11,5,0.25,0.55,0.4,4,False,False muse_glimmer_30b,25,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False muse_glimmer_30b,25,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False muse_glimmer_30b,25,nested_hexagons,4,20,2,5,0.25,0.1,-0.2,0,False,False muse_glimmer_30b,25,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False muse_glimmer_30b,25,nested_squares,1,20,12,4,0.2,0.6,0.5,5,False,False muse_glimmer_30b,25,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False muse_glimmer_30b,25,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False muse_glimmer_30b,25,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False muse_glimmer_30b,25,nested_squares,5,20,13,12,0.6,0.65,0.125,yes,False,False muse_glimmer_30b,25,nested_triangles,1,20,14,6,0.3,0.7,0.5714285714285714,4,False,False muse_glimmer_30b,25,nested_triangles,2,20,15,13,0.65,0.75,0.2857142857142857,constant,False,False muse_glimmer_30b,25,nested_triangles,3,20,1,2,0.1,0.05,-0.05555555555555555,4.1,False,False muse_glimmer_30b,25,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False muse_glimmer_30b,25,nested_triangles,5,20,10,12,0.6,0.5,-0.25,yes,False,False muse_glimmer_30b,25,occluded_pattern,1,20,18,4,0.2,0.9,0.875,8,False,False muse_glimmer_30b,25,occluded_pattern,2,20,4,5,0.25,0.2,-0.06666666666666667,10,False,False muse_glimmer_30b,25,occluded_pattern,3,20,13,9,0.45,0.65,0.36363636363636365,circle,False,False muse_glimmer_30b,25,occluded_pattern,4,20,4,6,0.3,0.2,-0.14285714285714285,2,False,False muse_glimmer_30b,25,occluded_pattern,5,20,5,5,0.25,0.25,0.0,11,False,False muse_glimmer_30b,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False muse_glimmer_30b,25,optical_illusion,2,20,12,12,0.6,0.6,0.0,B,False,False muse_glimmer_30b,25,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False muse_glimmer_30b,25,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False muse_glimmer_30b,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False muse_glimmer_30b,25,orthographic,1,20,19,6,0.3,0.95,0.9285714285714286,6,False,False muse_glimmer_30b,25,orthographic,2,20,0,5,0.25,0.0,-0.3333333333333333,9,False,False muse_glimmer_30b,25,orthographic,3,20,6,5,0.25,0.3,0.06666666666666667,front,False,False muse_glimmer_30b,25,orthographic,4,20,7,8,0.4,0.35,-0.08333333333333333,not unique,False,False muse_glimmer_30b,25,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False muse_glimmer_30b,25,overlap_circles,1,20,9,5,0.25,0.45,0.26666666666666666,10,False,False muse_glimmer_30b,25,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False muse_glimmer_30b,25,overlap_circles,3,20,4,3,0.15,0.2,0.058823529411764705,1.8,False,False muse_glimmer_30b,25,overlap_circles,4,20,14,6,0.3,0.7,0.5714285714285714,0,False,False muse_glimmer_30b,25,overlap_circles,5,20,5,4,0.2,0.25,0.0625,17,False,False muse_glimmer_30b,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False muse_glimmer_30b,25,physical_stability,2,20,12,11,0.55,0.6,0.1111111111111111,right,False,False muse_glimmer_30b,25,physical_stability,3,20,17,10,0.5,0.85,0.7,D,False,False muse_glimmer_30b,25,physical_stability,4,20,3,8,0.4,0.15,-0.4166666666666667,stable,False,False muse_glimmer_30b,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False muse_glimmer_30b,25,polyhedron,1,20,7,8,0.4,0.35,-0.08333333333333333,14,False,False muse_glimmer_30b,25,polyhedron,2,20,19,19,0.95,0.95,0.0,convex,False,False muse_glimmer_30b,25,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False muse_glimmer_30b,25,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False muse_glimmer_30b,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False muse_glimmer_30b,25,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False muse_glimmer_30b,25,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False muse_glimmer_30b,25,projectile_motion,3,20,7,1,0.05,0.35,0.3157894736842105,13.4,False,False muse_glimmer_30b,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False muse_glimmer_30b,25,projectile_motion,5,20,16,15,0.75,0.8,0.2,increase,False,False muse_glimmer_30b,25,rotation_matching,1,20,13,8,0.4,0.65,0.4166666666666667,7,False,False muse_glimmer_30b,25,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False muse_glimmer_30b,25,rotation_matching,3,20,1,4,0.2,0.05,-0.1875,315,False,False muse_glimmer_30b,25,rotation_matching,4,20,4,7,0.35,0.2,-0.23076923076923078,A,False,False muse_glimmer_30b,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False muse_glimmer_30b,25,route,1,20,17,6,0.3,0.85,0.7857142857142857,6,False,False muse_glimmer_30b,25,route,2,20,6,11,0.55,0.3,-0.5555555555555556,1,False,False muse_glimmer_30b,25,route,3,20,6,5,0.25,0.3,0.06666666666666667,4,False,False muse_glimmer_30b,25,route,4,20,1,1,0.05,0.05,0.0,AC,False,False muse_glimmer_30b,25,route,5,20,6,6,0.3,0.3,0.0,4,False,False muse_glimmer_30b,25,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False muse_glimmer_30b,25,rpm,2,20,15,4,0.2,0.75,0.6875,1,False,False muse_glimmer_30b,25,rpm,3,20,10,5,0.25,0.5,0.3333333333333333,correct shape but wrong color,False,False muse_glimmer_30b,25,rpm,4,20,6,5,0.25,0.3,0.06666666666666667,8,False,False muse_glimmer_30b,25,rpm,5,20,5,11,0.55,0.25,-0.6666666666666666,9,False,False muse_glimmer_30b,25,shadow_inference,1,20,2,10,0.5,0.1,-0.8,2,False,False muse_glimmer_30b,25,shadow_inference,2,20,6,7,0.35,0.3,-0.07692307692307693,right,False,False muse_glimmer_30b,25,shadow_inference,3,20,10,7,0.35,0.5,0.23076923076923078,low,False,False muse_glimmer_30b,25,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False muse_glimmer_30b,25,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False muse_glimmer_30b,25,surface_topology,1,20,16,8,0.4,0.8,0.6666666666666666,3,False,False muse_glimmer_30b,25,surface_topology,2,20,20,18,0.9,1.0,1.0,orientable,False,False muse_glimmer_30b,25,surface_topology,3,20,6,7,0.35,0.3,-0.07692307692307693,0,False,False muse_glimmer_30b,25,surface_topology,4,20,17,8,0.4,0.85,0.75,-4; orientable,False,False muse_glimmer_30b,25,surface_topology,5,20,11,8,0.4,0.55,0.25,-5,False,False muse_glimmer_30b,25,symmetry_pattern,1,20,19,11,0.55,0.95,0.8888888888888888,8,False,False muse_glimmer_30b,25,symmetry_pattern,2,20,12,11,0.55,0.6,0.1111111111111111,broken,False,False muse_glimmer_30b,25,symmetry_pattern,3,20,10,6,0.3,0.5,0.2857142857142857,mirror,False,False muse_glimmer_30b,25,symmetry_pattern,4,20,3,7,0.35,0.15,-0.3076923076923077,8,False,False muse_glimmer_30b,25,symmetry_pattern,5,20,12,20,1.0,0.6,,yes,True,False muse_glimmer_30b,40,angle_estimation,1,20,18,7,0.35,0.9,0.8461538461538461,2,False,False muse_glimmer_30b,40,angle_estimation,2,20,13,4,0.2,0.65,0.5625,Angle 2,False,False muse_glimmer_30b,40,angle_estimation,3,20,11,6,0.3,0.55,0.35714285714285715,greater than,False,False muse_glimmer_30b,40,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False muse_glimmer_30b,40,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False muse_glimmer_30b,40,clock_reading,1,20,8,4,0.2,0.4,0.25,10,False,False muse_glimmer_30b,40,clock_reading,2,20,16,10,0.5,0.8,0.6,after,False,False muse_glimmer_30b,40,clock_reading,3,20,1,1,0.05,0.05,0.0,02:15,False,False muse_glimmer_30b,40,clock_reading,4,20,1,1,0.05,0.05,0.0,123,False,False muse_glimmer_30b,40,clock_reading,5,20,1,1,0.05,0.05,0.0,104,False,False muse_glimmer_30b,40,combination,1,20,13,7,0.35,0.65,0.46153846153846156,10,False,False muse_glimmer_30b,40,combination,2,20,4,13,0.65,0.2,-1.2857142857142858,C,False,False muse_glimmer_30b,40,combination,3,20,12,8,0.4,0.6,0.3333333333333333,yes,False,False muse_glimmer_30b,40,combination,4,20,2,7,0.35,0.1,-0.38461538461538464,B,False,False muse_glimmer_30b,40,combination,5,20,17,14,0.7,0.85,0.5,connected,False,False muse_glimmer_30b,40,combination3d,1,20,2,7,0.35,0.1,-0.38461538461538464,14,False,False muse_glimmer_30b,40,combination3d,2,20,10,7,0.35,0.5,0.23076923076923078,B,False,False muse_glimmer_30b,40,combination3d,3,20,11,10,0.5,0.55,0.1,yes,False,False muse_glimmer_30b,40,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False muse_glimmer_30b,40,combination3d,5,20,11,10,0.5,0.55,0.1,"same shape, different angle",False,False muse_glimmer_30b,40,compass_bearing,1,20,20,13,0.65,1.0,1.0,3,False,False muse_glimmer_30b,40,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False muse_glimmer_30b,40,compass_bearing,3,20,5,2,0.1,0.25,0.16666666666666666,020,False,False muse_glimmer_30b,40,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False muse_glimmer_30b,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False muse_glimmer_30b,40,coordinate_geometry,1,20,0,2,0.1,0.0,-0.1111111111111111,"(-6, -2)",False,False muse_glimmer_30b,40,coordinate_geometry,2,20,4,3,0.15,0.2,0.058823529411764705,4.47,False,False muse_glimmer_30b,40,coordinate_geometry,3,20,0,5,0.25,0.0,-0.3333333333333333,A and B,False,False muse_glimmer_30b,40,coordinate_geometry,4,20,13,6,0.3,0.65,0.5,less than,False,False muse_glimmer_30b,40,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False muse_glimmer_30b,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False muse_glimmer_30b,40,cube_net,2,20,19,9,0.45,0.95,0.9090909090909091,E,False,False muse_glimmer_30b,40,cube_net,3,20,8,4,0.2,0.4,0.25,2,False,False muse_glimmer_30b,40,cube_net,4,20,9,11,0.55,0.45,-0.2222222222222222,adjacent,False,False muse_glimmer_30b,40,cube_net,5,20,3,18,0.9,0.15,-7.5,no,False,False muse_glimmer_30b,40,cube_structure,1,20,1,6,0.3,0.05,-0.35714285714285715,12,False,False muse_glimmer_30b,40,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False muse_glimmer_30b,40,cube_structure,3,20,14,10,0.5,0.7,0.4,1,False,False muse_glimmer_30b,40,cube_structure,4,20,0,8,0.4,0.0,-0.6666666666666666,2,False,False muse_glimmer_30b,40,cube_structure,5,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False muse_glimmer_30b,40,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False muse_glimmer_30b,40,depth_height,2,20,1,6,0.3,0.05,-0.35714285714285715,magenta,False,False muse_glimmer_30b,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False muse_glimmer_30b,40,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False muse_glimmer_30b,40,depth_height,5,20,18,11,0.55,0.9,0.7777777777777778,smaller,False,False muse_glimmer_30b,40,embedded_figures,1,20,1,6,0.3,0.05,-0.35714285714285715,13,False,False muse_glimmer_30b,40,embedded_figures,2,20,10,10,0.5,0.5,0.0,6,False,False muse_glimmer_30b,40,embedded_figures,3,20,10,10,0.5,0.5,0.0,D,False,False muse_glimmer_30b,40,embedded_figures,4,20,5,7,0.35,0.25,-0.15384615384615385,6,False,False muse_glimmer_30b,40,embedded_figures,5,20,11,13,0.65,0.55,-0.2857142857142857,open,False,False muse_glimmer_30b,40,fbd,1,20,18,8,0.4,0.9,0.8333333333333334,4,False,False muse_glimmer_30b,40,fbd,2,20,13,5,0.25,0.65,0.5333333333333333,N,False,False muse_glimmer_30b,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False muse_glimmer_30b,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False muse_glimmer_30b,40,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False muse_glimmer_30b,40,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False muse_glimmer_30b,40,fold_punch,2,20,1,12,0.6,0.05,-1.375,8,False,False muse_glimmer_30b,40,fold_punch,3,20,0,7,0.35,0.0,-0.5384615384615384,B,False,False muse_glimmer_30b,40,fold_punch,4,20,5,7,0.35,0.25,-0.15384615384615385,exactly half,False,False muse_glimmer_30b,40,fold_punch,5,20,8,10,0.5,0.4,-0.2,16,False,False muse_glimmer_30b,40,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False muse_glimmer_30b,40,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False muse_glimmer_30b,40,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False muse_glimmer_30b,40,gauge_reading,4,20,3,14,0.7,0.15,-1.8333333333333333,no danger zone marked,False,False muse_glimmer_30b,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False muse_glimmer_30b,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False muse_glimmer_30b,40,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False muse_glimmer_30b,40,gear_train,3,20,18,6,0.3,0.9,0.8571428571428571,C,False,False muse_glimmer_30b,40,gear_train,4,20,9,1,0.05,0.45,0.42105263157894735,101.8,False,False muse_glimmer_30b,40,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False muse_glimmer_30b,40,hex_pathfinding,1,20,6,3,0.15,0.3,0.17647058823529413,5,False,False muse_glimmer_30b,40,hex_pathfinding,2,20,15,11,0.55,0.75,0.4444444444444444,walkable,False,False muse_glimmer_30b,40,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False muse_glimmer_30b,40,hex_pathfinding,4,20,1,5,0.25,0.05,-0.26666666666666666,multiple (4),False,False muse_glimmer_30b,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False muse_glimmer_30b,40,impossible_object,1,20,1,11,0.55,0.05,-1.1111111111111112,5,False,False muse_glimmer_30b,40,impossible_object,2,20,4,16,0.8,0.2,-3.0,yes,False,False muse_glimmer_30b,40,impossible_object,3,20,4,7,0.35,0.2,-0.23076923076923078,C,False,False muse_glimmer_30b,40,impossible_object,4,20,2,8,0.4,0.1,-0.5,6,False,False muse_glimmer_30b,40,impossible_object,5,20,11,16,0.8,0.55,-1.25,already constructible,False,False muse_glimmer_30b,40,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False muse_glimmer_30b,40,laser_mirror,2,20,8,14,0.7,0.4,-1.0,yes,False,False muse_glimmer_30b,40,laser_mirror,3,20,0,8,0.4,0.0,-0.6666666666666666,1,False,False muse_glimmer_30b,40,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False muse_glimmer_30b,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False muse_glimmer_30b,40,line_intersection,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False muse_glimmer_30b,40,line_intersection,2,20,18,7,0.35,0.9,0.8461538461538461,0,False,False muse_glimmer_30b,40,line_intersection,3,20,18,5,0.25,0.9,0.8666666666666667,left,False,False muse_glimmer_30b,40,line_intersection,4,20,17,4,0.2,0.85,0.8125,"0,0",False,False muse_glimmer_30b,40,line_intersection,5,20,15,10,0.5,0.75,0.5,0,False,False muse_glimmer_30b,40,nested_hexagons,1,20,12,5,0.25,0.6,0.4666666666666667,4,False,False muse_glimmer_30b,40,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False muse_glimmer_30b,40,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False muse_glimmer_30b,40,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False muse_glimmer_30b,40,nested_hexagons,5,20,11,10,0.5,0.55,0.1,no,False,False muse_glimmer_30b,40,nested_squares,1,20,11,4,0.2,0.55,0.4375,5,False,False muse_glimmer_30b,40,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False muse_glimmer_30b,40,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False muse_glimmer_30b,40,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False muse_glimmer_30b,40,nested_squares,5,20,13,12,0.6,0.65,0.125,yes,False,False muse_glimmer_30b,40,nested_triangles,1,20,14,6,0.3,0.7,0.5714285714285714,4,False,False muse_glimmer_30b,40,nested_triangles,2,20,11,13,0.65,0.55,-0.2857142857142857,constant,False,False muse_glimmer_30b,40,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False muse_glimmer_30b,40,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False muse_glimmer_30b,40,nested_triangles,5,20,9,12,0.6,0.45,-0.375,yes,False,False muse_glimmer_30b,40,occluded_pattern,1,20,17,4,0.2,0.85,0.8125,8,False,False muse_glimmer_30b,40,occluded_pattern,2,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False muse_glimmer_30b,40,occluded_pattern,3,20,12,9,0.45,0.6,0.2727272727272727,circle,False,False muse_glimmer_30b,40,occluded_pattern,4,20,4,6,0.3,0.2,-0.14285714285714285,2,False,False muse_glimmer_30b,40,occluded_pattern,5,20,3,5,0.25,0.15,-0.13333333333333333,11,False,False muse_glimmer_30b,40,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False muse_glimmer_30b,40,optical_illusion,2,20,12,12,0.6,0.6,0.0,B,False,False muse_glimmer_30b,40,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False muse_glimmer_30b,40,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False muse_glimmer_30b,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False muse_glimmer_30b,40,orthographic,1,20,16,6,0.3,0.8,0.7142857142857143,6,False,False muse_glimmer_30b,40,orthographic,2,20,0,5,0.25,0.0,-0.3333333333333333,9,False,False muse_glimmer_30b,40,orthographic,3,20,9,5,0.25,0.45,0.26666666666666666,front,False,False muse_glimmer_30b,40,orthographic,4,20,10,8,0.4,0.5,0.16666666666666666,not unique,False,False muse_glimmer_30b,40,orthographic,5,20,0,20,1.0,0.0,,front and side,True,False muse_glimmer_30b,40,overlap_circles,1,20,11,5,0.25,0.55,0.4,10,False,False muse_glimmer_30b,40,overlap_circles,2,20,9,11,0.55,0.45,-0.2222222222222222,no,False,False muse_glimmer_30b,40,overlap_circles,3,20,5,3,0.15,0.25,0.11764705882352941,1.8,False,False muse_glimmer_30b,40,overlap_circles,4,20,11,6,0.3,0.55,0.35714285714285715,0,False,False muse_glimmer_30b,40,overlap_circles,5,20,4,4,0.2,0.2,0.0,17,False,False muse_glimmer_30b,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False muse_glimmer_30b,40,physical_stability,2,20,13,11,0.55,0.65,0.2222222222222222,right,False,False muse_glimmer_30b,40,physical_stability,3,20,18,10,0.5,0.9,0.8,D,False,False muse_glimmer_30b,40,physical_stability,4,20,2,8,0.4,0.1,-0.5,stable,False,False muse_glimmer_30b,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False muse_glimmer_30b,40,polyhedron,1,20,9,8,0.4,0.45,0.08333333333333333,14,False,False muse_glimmer_30b,40,polyhedron,2,20,19,19,0.95,0.95,0.0,convex,False,False muse_glimmer_30b,40,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False muse_glimmer_30b,40,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False muse_glimmer_30b,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False muse_glimmer_30b,40,projectile_motion,1,20,20,3,0.15,1.0,1.0,68,False,False muse_glimmer_30b,40,projectile_motion,2,20,20,11,0.55,1.0,1.0,yes,False,False muse_glimmer_30b,40,projectile_motion,3,20,9,1,0.05,0.45,0.42105263157894735,13.4,False,False muse_glimmer_30b,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False muse_glimmer_30b,40,projectile_motion,5,20,15,15,0.75,0.75,0.0,increase,False,False muse_glimmer_30b,40,rotation_matching,1,20,14,8,0.4,0.7,0.5,7,False,False muse_glimmer_30b,40,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False muse_glimmer_30b,40,rotation_matching,3,20,2,4,0.2,0.1,-0.125,315,False,False muse_glimmer_30b,40,rotation_matching,4,20,4,7,0.35,0.2,-0.23076923076923078,A,False,False muse_glimmer_30b,40,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False muse_glimmer_30b,40,route,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False muse_glimmer_30b,40,route,2,20,3,11,0.55,0.15,-0.8888888888888888,1,False,False muse_glimmer_30b,40,route,3,20,4,5,0.25,0.2,-0.06666666666666667,4,False,False muse_glimmer_30b,40,route,4,20,1,1,0.05,0.05,0.0,AC,False,False muse_glimmer_30b,40,route,5,20,2,6,0.3,0.1,-0.2857142857142857,4,False,False muse_glimmer_30b,40,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False muse_glimmer_30b,40,rpm,2,20,12,4,0.2,0.6,0.5,1,False,False muse_glimmer_30b,40,rpm,3,20,11,5,0.25,0.55,0.4,correct shape but wrong color,False,False muse_glimmer_30b,40,rpm,4,20,2,5,0.25,0.1,-0.2,8,False,False muse_glimmer_30b,40,rpm,5,20,7,11,0.55,0.35,-0.4444444444444444,9,False,False muse_glimmer_30b,40,shadow_inference,1,20,4,10,0.5,0.2,-0.6,2,False,False muse_glimmer_30b,40,shadow_inference,2,20,6,7,0.35,0.3,-0.07692307692307693,right,False,False muse_glimmer_30b,40,shadow_inference,3,20,9,7,0.35,0.45,0.15384615384615385,low,False,False muse_glimmer_30b,40,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False muse_glimmer_30b,40,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False muse_glimmer_30b,40,surface_topology,1,20,18,8,0.4,0.9,0.8333333333333334,3,False,False muse_glimmer_30b,40,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False muse_glimmer_30b,40,surface_topology,3,20,7,7,0.35,0.35,0.0,0,False,False muse_glimmer_30b,40,surface_topology,4,20,17,8,0.4,0.85,0.75,-4; orientable,False,False muse_glimmer_30b,40,surface_topology,5,20,10,8,0.4,0.5,0.16666666666666666,-5,False,False muse_glimmer_30b,40,symmetry_pattern,1,20,20,11,0.55,1.0,1.0,8,False,False muse_glimmer_30b,40,symmetry_pattern,2,20,12,11,0.55,0.6,0.1111111111111111,broken,False,False muse_glimmer_30b,40,symmetry_pattern,3,20,11,6,0.3,0.55,0.35714285714285715,mirror,False,False muse_glimmer_30b,40,symmetry_pattern,4,20,2,7,0.35,0.1,-0.38461538461538464,8,False,False muse_glimmer_30b,40,symmetry_pattern,5,20,11,20,1.0,0.55,,yes,True,False perplexity_sonar_pro,0,angle_estimation,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False perplexity_sonar_pro,0,angle_estimation,2,20,12,4,0.2,0.6,0.5,Angle 2,False,False perplexity_sonar_pro,0,angle_estimation,3,20,3,6,0.3,0.15,-0.21428571428571427,greater than,False,False perplexity_sonar_pro,0,angle_estimation,4,20,7,4,0.2,0.35,0.1875,180,False,False perplexity_sonar_pro,0,angle_estimation,5,20,8,6,0.3,0.4,0.14285714285714285,exceeds 180,False,False perplexity_sonar_pro,0,clock_reading,1,20,13,4,0.2,0.65,0.5625,10,False,False perplexity_sonar_pro,0,clock_reading,2,20,11,10,0.5,0.55,0.1,after,False,False perplexity_sonar_pro,0,clock_reading,3,20,8,1,0.05,0.4,0.3684210526315789,02:15,False,False perplexity_sonar_pro,0,clock_reading,4,20,2,1,0.05,0.1,0.05263157894736842,123,False,False perplexity_sonar_pro,0,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False perplexity_sonar_pro,0,combination,1,20,10,7,0.35,0.5,0.23076923076923078,10,False,False perplexity_sonar_pro,0,combination,2,20,5,13,0.65,0.25,-1.1428571428571428,C,False,False perplexity_sonar_pro,0,combination,3,20,15,8,0.4,0.75,0.5833333333333334,yes,False,False perplexity_sonar_pro,0,combination,4,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False perplexity_sonar_pro,0,combination,5,20,15,14,0.7,0.75,0.16666666666666666,connected,False,False perplexity_sonar_pro,0,combination3d,1,20,2,7,0.35,0.1,-0.38461538461538464,14,False,False perplexity_sonar_pro,0,combination3d,2,20,9,7,0.35,0.45,0.15384615384615385,B,False,False perplexity_sonar_pro,0,combination3d,3,20,15,10,0.5,0.75,0.5,yes,False,False perplexity_sonar_pro,0,combination3d,4,20,3,5,0.25,0.15,-0.13333333333333333,D,False,False perplexity_sonar_pro,0,combination3d,5,20,11,10,0.5,0.55,0.1,"same shape, different angle",False,False perplexity_sonar_pro,0,compass_bearing,1,20,19,13,0.65,0.95,0.8571428571428571,3,False,False perplexity_sonar_pro,0,compass_bearing,2,20,19,9,0.45,0.95,0.9090909090909091,north,False,False perplexity_sonar_pro,0,compass_bearing,3,20,4,2,0.1,0.2,0.1111111111111111,020,False,False perplexity_sonar_pro,0,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False perplexity_sonar_pro,0,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False perplexity_sonar_pro,0,coordinate_geometry,1,20,9,2,0.1,0.45,0.3888888888888889,"(-6, -2)",False,False perplexity_sonar_pro,0,coordinate_geometry,2,20,2,3,0.15,0.1,-0.058823529411764705,4.47,False,False perplexity_sonar_pro,0,coordinate_geometry,3,20,10,5,0.25,0.5,0.3333333333333333,A and B,False,False perplexity_sonar_pro,0,coordinate_geometry,4,20,16,6,0.3,0.8,0.7142857142857143,less than,False,False perplexity_sonar_pro,0,coordinate_geometry,5,20,0,3,0.15,0.0,-0.17647058823529413,3.16,False,False perplexity_sonar_pro,0,cube_net,1,20,20,20,1.0,1.0,,6,True,False perplexity_sonar_pro,0,cube_net,2,20,19,9,0.45,0.95,0.9090909090909091,E,False,False perplexity_sonar_pro,0,cube_net,3,20,11,4,0.2,0.55,0.4375,2,False,False perplexity_sonar_pro,0,cube_net,4,20,10,11,0.55,0.5,-0.1111111111111111,adjacent,False,False perplexity_sonar_pro,0,cube_net,5,20,15,18,0.9,0.75,-1.5,no,False,False perplexity_sonar_pro,0,cube_structure,1,20,4,6,0.3,0.2,-0.14285714285714285,12,False,False perplexity_sonar_pro,0,cube_structure,2,20,2,4,0.2,0.1,-0.125,10,False,False perplexity_sonar_pro,0,cube_structure,3,20,13,10,0.5,0.65,0.3,1,False,False perplexity_sonar_pro,0,cube_structure,4,20,4,8,0.4,0.2,-0.3333333333333333,2,False,False perplexity_sonar_pro,0,cube_structure,5,20,4,8,0.4,0.2,-0.3333333333333333,2,False,False perplexity_sonar_pro,0,depth_height,1,20,19,8,0.4,0.95,0.9166666666666666,3,False,False perplexity_sonar_pro,0,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False perplexity_sonar_pro,0,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False perplexity_sonar_pro,0,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False perplexity_sonar_pro,0,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False perplexity_sonar_pro,0,embedded_figures,1,20,5,6,0.3,0.25,-0.07142857142857142,13,False,False perplexity_sonar_pro,0,embedded_figures,2,20,6,10,0.5,0.3,-0.4,6,False,False perplexity_sonar_pro,0,embedded_figures,3,20,6,10,0.5,0.3,-0.4,D,False,False perplexity_sonar_pro,0,embedded_figures,4,20,2,7,0.35,0.1,-0.38461538461538464,6,False,False perplexity_sonar_pro,0,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False perplexity_sonar_pro,0,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False perplexity_sonar_pro,0,fbd,2,20,13,5,0.25,0.65,0.5333333333333333,N,False,False perplexity_sonar_pro,0,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False perplexity_sonar_pro,0,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False perplexity_sonar_pro,0,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False perplexity_sonar_pro,0,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False perplexity_sonar_pro,0,fold_punch,2,20,13,12,0.6,0.65,0.125,8,False,False perplexity_sonar_pro,0,fold_punch,3,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False perplexity_sonar_pro,0,fold_punch,4,20,2,7,0.35,0.1,-0.38461538461538464,exactly half,False,False perplexity_sonar_pro,0,fold_punch,5,20,4,10,0.5,0.2,-0.6,16,False,False perplexity_sonar_pro,0,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False perplexity_sonar_pro,0,gauge_reading,2,20,20,12,0.6,1.0,1.0,upper half,False,False perplexity_sonar_pro,0,gauge_reading,3,20,17,2,0.1,0.85,0.8333333333333334,100,False,False perplexity_sonar_pro,0,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False perplexity_sonar_pro,0,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False perplexity_sonar_pro,0,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False perplexity_sonar_pro,0,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False perplexity_sonar_pro,0,gear_train,3,20,18,6,0.3,0.9,0.8571428571428571,C,False,False perplexity_sonar_pro,0,gear_train,4,20,0,1,0.05,0.0,-0.05263157894736842,101.8,False,False perplexity_sonar_pro,0,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False perplexity_sonar_pro,0,hex_pathfinding,1,20,1,3,0.15,0.05,-0.11764705882352941,5,False,False perplexity_sonar_pro,0,hex_pathfinding,2,20,14,11,0.55,0.7,0.3333333333333333,walkable,False,False perplexity_sonar_pro,0,hex_pathfinding,3,20,0,6,0.3,0.0,-0.42857142857142855,5,False,False perplexity_sonar_pro,0,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False perplexity_sonar_pro,0,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False perplexity_sonar_pro,0,impossible_object,1,20,3,11,0.55,0.15,-0.8888888888888888,5,False,False perplexity_sonar_pro,0,impossible_object,2,20,11,16,0.8,0.55,-1.25,yes,False,False perplexity_sonar_pro,0,impossible_object,3,20,6,7,0.35,0.3,-0.07692307692307693,C,False,False perplexity_sonar_pro,0,impossible_object,4,20,4,8,0.4,0.2,-0.3333333333333333,6,False,False perplexity_sonar_pro,0,impossible_object,5,20,1,16,0.8,0.05,-3.75,already constructible,False,False perplexity_sonar_pro,0,laser_mirror,1,20,19,9,0.45,0.95,0.9090909090909091,3,False,False perplexity_sonar_pro,0,laser_mirror,2,20,15,14,0.7,0.75,0.16666666666666666,yes,False,False perplexity_sonar_pro,0,laser_mirror,3,20,1,8,0.4,0.05,-0.5833333333333334,1,False,False perplexity_sonar_pro,0,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False perplexity_sonar_pro,0,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False perplexity_sonar_pro,0,line_intersection,1,20,13,7,0.35,0.65,0.46153846153846156,2,False,False perplexity_sonar_pro,0,line_intersection,2,20,12,7,0.35,0.6,0.38461538461538464,0,False,False perplexity_sonar_pro,0,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False perplexity_sonar_pro,0,line_intersection,4,20,9,4,0.2,0.45,0.3125,"0,0",False,False perplexity_sonar_pro,0,line_intersection,5,20,15,10,0.5,0.75,0.5,0,False,False perplexity_sonar_pro,0,nested_hexagons,1,20,10,5,0.25,0.5,0.3333333333333333,4,False,False perplexity_sonar_pro,0,nested_hexagons,2,20,10,13,0.65,0.5,-0.42857142857142855,constant,False,False perplexity_sonar_pro,0,nested_hexagons,3,20,1,2,0.1,0.05,-0.05555555555555555,4.0,False,False perplexity_sonar_pro,0,nested_hexagons,4,20,1,5,0.25,0.05,-0.26666666666666666,0,False,False perplexity_sonar_pro,0,nested_hexagons,5,20,8,10,0.5,0.4,-0.2,no,False,False perplexity_sonar_pro,0,nested_squares,1,20,12,4,0.2,0.6,0.5,5,False,False perplexity_sonar_pro,0,nested_squares,2,20,10,11,0.55,0.5,-0.1111111111111111,changing,False,False perplexity_sonar_pro,0,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False perplexity_sonar_pro,0,nested_squares,4,20,2,3,0.15,0.1,-0.058823529411764705,0,False,False perplexity_sonar_pro,0,nested_squares,5,20,13,12,0.6,0.65,0.125,yes,False,False perplexity_sonar_pro,0,nested_triangles,1,20,14,6,0.3,0.7,0.5714285714285714,4,False,False perplexity_sonar_pro,0,nested_triangles,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False perplexity_sonar_pro,0,nested_triangles,3,20,3,2,0.1,0.15,0.05555555555555555,4.1,False,False perplexity_sonar_pro,0,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False perplexity_sonar_pro,0,nested_triangles,5,20,13,12,0.6,0.65,0.125,yes,False,False perplexity_sonar_pro,0,occluded_pattern,1,20,10,4,0.2,0.5,0.375,8,False,False perplexity_sonar_pro,0,occluded_pattern,2,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False perplexity_sonar_pro,0,occluded_pattern,3,20,14,9,0.45,0.7,0.45454545454545453,circle,False,False perplexity_sonar_pro,0,occluded_pattern,4,20,3,6,0.3,0.15,-0.21428571428571427,2,False,False perplexity_sonar_pro,0,occluded_pattern,5,20,2,5,0.25,0.1,-0.2,11,False,False perplexity_sonar_pro,0,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False perplexity_sonar_pro,0,optical_illusion,2,20,17,12,0.6,0.85,0.625,B,False,False perplexity_sonar_pro,0,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False perplexity_sonar_pro,0,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False perplexity_sonar_pro,0,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False perplexity_sonar_pro,0,orthographic,1,20,7,6,0.3,0.35,0.07142857142857142,6,False,False perplexity_sonar_pro,0,orthographic,2,20,6,5,0.25,0.3,0.06666666666666667,9,False,False perplexity_sonar_pro,0,orthographic,3,20,3,5,0.25,0.15,-0.13333333333333333,front,False,False perplexity_sonar_pro,0,orthographic,4,20,10,8,0.4,0.5,0.16666666666666666,not unique,False,False perplexity_sonar_pro,0,orthographic,5,20,3,20,1.0,0.15,,front and side,True,False perplexity_sonar_pro,0,overlap_circles,1,20,7,5,0.25,0.35,0.13333333333333333,10,False,False perplexity_sonar_pro,0,overlap_circles,2,20,13,11,0.55,0.65,0.2222222222222222,no,False,False perplexity_sonar_pro,0,overlap_circles,3,20,4,3,0.15,0.2,0.058823529411764705,1.8,False,False perplexity_sonar_pro,0,overlap_circles,4,20,10,6,0.3,0.5,0.2857142857142857,0,False,False perplexity_sonar_pro,0,overlap_circles,5,20,2,4,0.2,0.1,-0.125,17,False,False perplexity_sonar_pro,0,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False perplexity_sonar_pro,0,physical_stability,2,20,5,11,0.55,0.25,-0.6666666666666666,right,False,False perplexity_sonar_pro,0,physical_stability,3,20,10,10,0.5,0.5,0.0,D,False,False perplexity_sonar_pro,0,physical_stability,4,20,4,8,0.4,0.2,-0.3333333333333333,stable,False,False perplexity_sonar_pro,0,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False perplexity_sonar_pro,0,polyhedron,1,20,5,8,0.4,0.25,-0.25,14,False,False perplexity_sonar_pro,0,polyhedron,2,20,12,19,0.95,0.6,-7.0,convex,False,False perplexity_sonar_pro,0,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False perplexity_sonar_pro,0,polyhedron,4,20,16,6,0.3,0.8,0.7142857142857143,no,False,False perplexity_sonar_pro,0,polyhedron,5,20,20,20,1.0,1.0,,no,True,False perplexity_sonar_pro,0,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False perplexity_sonar_pro,0,projectile_motion,2,20,18,11,0.55,0.9,0.7777777777777778,yes,False,False perplexity_sonar_pro,0,projectile_motion,3,20,1,1,0.05,0.05,0.0,13.4,False,False perplexity_sonar_pro,0,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False perplexity_sonar_pro,0,projectile_motion,5,20,13,15,0.75,0.65,-0.4,increase,False,False perplexity_sonar_pro,0,rotation_matching,1,20,11,8,0.4,0.55,0.25,7,False,False perplexity_sonar_pro,0,rotation_matching,2,20,4,6,0.3,0.2,-0.14285714285714285,B,False,False perplexity_sonar_pro,0,rotation_matching,3,20,5,4,0.2,0.25,0.0625,315,False,False perplexity_sonar_pro,0,rotation_matching,4,20,2,7,0.35,0.1,-0.38461538461538464,A,False,False perplexity_sonar_pro,0,rotation_matching,5,20,19,4,0.2,0.95,0.9375,225,False,False perplexity_sonar_pro,0,route,1,20,15,6,0.3,0.75,0.6428571428571429,6,False,False perplexity_sonar_pro,0,route,2,20,1,11,0.55,0.05,-1.1111111111111112,1,False,False perplexity_sonar_pro,0,route,3,20,3,5,0.25,0.15,-0.13333333333333333,4,False,False perplexity_sonar_pro,0,route,4,20,1,1,0.05,0.05,0.0,AC,False,False perplexity_sonar_pro,0,route,5,20,4,6,0.3,0.2,-0.14285714285714285,4,False,False perplexity_sonar_pro,0,rpm,1,20,18,9,0.45,0.9,0.8181818181818182,1,False,False perplexity_sonar_pro,0,rpm,2,20,11,4,0.2,0.55,0.4375,1,False,False perplexity_sonar_pro,0,rpm,3,20,12,5,0.25,0.6,0.4666666666666667,correct shape but wrong color,False,False perplexity_sonar_pro,0,rpm,4,20,3,5,0.25,0.15,-0.13333333333333333,8,False,False perplexity_sonar_pro,0,rpm,5,20,3,11,0.55,0.15,-0.8888888888888888,9,False,False perplexity_sonar_pro,0,shadow_inference,1,20,17,10,0.5,0.85,0.7,2,False,False perplexity_sonar_pro,0,shadow_inference,2,20,10,7,0.35,0.5,0.23076923076923078,right,False,False perplexity_sonar_pro,0,shadow_inference,3,20,13,7,0.35,0.65,0.46153846153846156,low,False,False perplexity_sonar_pro,0,shadow_inference,4,20,3,8,0.4,0.15,-0.4166666666666667,same,False,False perplexity_sonar_pro,0,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False perplexity_sonar_pro,0,surface_topology,1,20,15,8,0.4,0.75,0.5833333333333334,3,False,False perplexity_sonar_pro,0,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False perplexity_sonar_pro,0,surface_topology,3,20,5,7,0.35,0.25,-0.15384615384615385,0,False,False perplexity_sonar_pro,0,surface_topology,4,20,11,8,0.4,0.55,0.25,-4; orientable,False,False perplexity_sonar_pro,0,surface_topology,5,20,5,8,0.4,0.25,-0.25,-5,False,False perplexity_sonar_pro,0,symmetry_pattern,1,20,14,11,0.55,0.7,0.3333333333333333,8,False,False perplexity_sonar_pro,0,symmetry_pattern,2,20,15,11,0.55,0.75,0.4444444444444444,broken,False,False perplexity_sonar_pro,0,symmetry_pattern,3,20,10,6,0.3,0.5,0.2857142857142857,mirror,False,False perplexity_sonar_pro,0,symmetry_pattern,4,20,4,7,0.35,0.2,-0.23076923076923078,8,False,False perplexity_sonar_pro,0,symmetry_pattern,5,20,14,20,1.0,0.7,,yes,True,False perplexity_sonar_pro,15,angle_estimation,1,20,14,7,0.35,0.7,0.5384615384615384,2,False,False perplexity_sonar_pro,15,angle_estimation,2,20,10,4,0.2,0.5,0.375,Angle 2,False,False perplexity_sonar_pro,15,angle_estimation,3,20,5,6,0.3,0.25,-0.07142857142857142,greater than,False,False perplexity_sonar_pro,15,angle_estimation,4,20,4,4,0.2,0.2,0.0,180,False,False perplexity_sonar_pro,15,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False perplexity_sonar_pro,15,clock_reading,1,20,14,4,0.2,0.7,0.625,10,False,False perplexity_sonar_pro,15,clock_reading,2,20,12,10,0.5,0.6,0.2,after,False,False perplexity_sonar_pro,15,clock_reading,3,20,8,1,0.05,0.4,0.3684210526315789,02:15,False,False perplexity_sonar_pro,15,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False perplexity_sonar_pro,15,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False perplexity_sonar_pro,15,combination,1,20,4,7,0.35,0.2,-0.23076923076923078,10,False,False perplexity_sonar_pro,15,combination,2,20,12,13,0.65,0.6,-0.14285714285714285,C,False,False perplexity_sonar_pro,15,combination,3,20,14,8,0.4,0.7,0.5,yes,False,False perplexity_sonar_pro,15,combination,4,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False perplexity_sonar_pro,15,combination,5,20,15,14,0.7,0.75,0.16666666666666666,connected,False,False perplexity_sonar_pro,15,combination3d,1,20,2,7,0.35,0.1,-0.38461538461538464,14,False,False perplexity_sonar_pro,15,combination3d,2,20,10,7,0.35,0.5,0.23076923076923078,B,False,False perplexity_sonar_pro,15,combination3d,3,20,12,10,0.5,0.6,0.2,yes,False,False perplexity_sonar_pro,15,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False perplexity_sonar_pro,15,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False perplexity_sonar_pro,15,compass_bearing,1,20,19,13,0.65,0.95,0.8571428571428571,3,False,False perplexity_sonar_pro,15,compass_bearing,2,20,18,9,0.45,0.9,0.8181818181818182,north,False,False perplexity_sonar_pro,15,compass_bearing,3,20,5,2,0.1,0.25,0.16666666666666666,020,False,False perplexity_sonar_pro,15,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False perplexity_sonar_pro,15,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False perplexity_sonar_pro,15,coordinate_geometry,1,20,5,2,0.1,0.25,0.16666666666666666,"(-6, -2)",False,False perplexity_sonar_pro,15,coordinate_geometry,2,20,0,3,0.15,0.0,-0.17647058823529413,4.47,False,False perplexity_sonar_pro,15,coordinate_geometry,3,20,7,5,0.25,0.35,0.13333333333333333,A and B,False,False perplexity_sonar_pro,15,coordinate_geometry,4,20,13,6,0.3,0.65,0.5,less than,False,False perplexity_sonar_pro,15,coordinate_geometry,5,20,3,3,0.15,0.15,0.0,3.16,False,False perplexity_sonar_pro,15,cube_net,1,20,20,20,1.0,1.0,,6,True,False perplexity_sonar_pro,15,cube_net,2,20,20,9,0.45,1.0,1.0,E,False,False perplexity_sonar_pro,15,cube_net,3,20,5,4,0.2,0.25,0.0625,2,False,False perplexity_sonar_pro,15,cube_net,4,20,6,11,0.55,0.3,-0.5555555555555556,adjacent,False,False perplexity_sonar_pro,15,cube_net,5,20,15,18,0.9,0.75,-1.5,no,False,False perplexity_sonar_pro,15,cube_structure,1,20,2,6,0.3,0.1,-0.2857142857142857,12,False,False perplexity_sonar_pro,15,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False perplexity_sonar_pro,15,cube_structure,3,20,14,10,0.5,0.7,0.4,1,False,False perplexity_sonar_pro,15,cube_structure,4,20,1,8,0.4,0.05,-0.5833333333333334,2,False,False perplexity_sonar_pro,15,cube_structure,5,20,5,8,0.4,0.25,-0.25,2,False,False perplexity_sonar_pro,15,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False perplexity_sonar_pro,15,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False perplexity_sonar_pro,15,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False perplexity_sonar_pro,15,depth_height,4,20,4,2,0.1,0.2,0.1111111111111111,0.77,False,False perplexity_sonar_pro,15,depth_height,5,20,14,11,0.55,0.7,0.3333333333333333,smaller,False,False perplexity_sonar_pro,15,embedded_figures,1,20,3,6,0.3,0.15,-0.21428571428571427,13,False,False perplexity_sonar_pro,15,embedded_figures,2,20,10,10,0.5,0.5,0.0,6,False,False perplexity_sonar_pro,15,embedded_figures,3,20,6,10,0.5,0.3,-0.4,D,False,False perplexity_sonar_pro,15,embedded_figures,4,20,5,7,0.35,0.25,-0.15384615384615385,6,False,False perplexity_sonar_pro,15,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False perplexity_sonar_pro,15,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False perplexity_sonar_pro,15,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False perplexity_sonar_pro,15,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False perplexity_sonar_pro,15,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False perplexity_sonar_pro,15,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False perplexity_sonar_pro,15,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False perplexity_sonar_pro,15,fold_punch,2,20,13,12,0.6,0.65,0.125,8,False,False perplexity_sonar_pro,15,fold_punch,3,20,6,7,0.35,0.3,-0.07692307692307693,B,False,False perplexity_sonar_pro,15,fold_punch,4,20,4,7,0.35,0.2,-0.23076923076923078,exactly half,False,False perplexity_sonar_pro,15,fold_punch,5,20,7,10,0.5,0.35,-0.3,16,False,False perplexity_sonar_pro,15,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False perplexity_sonar_pro,15,gauge_reading,2,20,18,12,0.6,0.9,0.75,upper half,False,False perplexity_sonar_pro,15,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False perplexity_sonar_pro,15,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False perplexity_sonar_pro,15,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False perplexity_sonar_pro,15,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False perplexity_sonar_pro,15,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False perplexity_sonar_pro,15,gear_train,3,20,18,6,0.3,0.9,0.8571428571428571,C,False,False perplexity_sonar_pro,15,gear_train,4,20,1,1,0.05,0.05,0.0,101.8,False,False perplexity_sonar_pro,15,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False perplexity_sonar_pro,15,hex_pathfinding,1,20,1,3,0.15,0.05,-0.11764705882352941,5,False,False perplexity_sonar_pro,15,hex_pathfinding,2,20,16,11,0.55,0.8,0.5555555555555556,walkable,False,False perplexity_sonar_pro,15,hex_pathfinding,3,20,1,6,0.3,0.05,-0.35714285714285715,5,False,False perplexity_sonar_pro,15,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False perplexity_sonar_pro,15,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False perplexity_sonar_pro,15,impossible_object,1,20,3,11,0.55,0.15,-0.8888888888888888,5,False,False perplexity_sonar_pro,15,impossible_object,2,20,17,16,0.8,0.85,0.25,yes,False,False perplexity_sonar_pro,15,impossible_object,3,20,5,7,0.35,0.25,-0.15384615384615385,C,False,False perplexity_sonar_pro,15,impossible_object,4,20,1,8,0.4,0.05,-0.5833333333333334,6,False,False perplexity_sonar_pro,15,impossible_object,5,20,0,16,0.8,0.0,-4.0,already constructible,False,False perplexity_sonar_pro,15,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False perplexity_sonar_pro,15,laser_mirror,2,20,13,14,0.7,0.65,-0.16666666666666666,yes,False,False perplexity_sonar_pro,15,laser_mirror,3,20,2,8,0.4,0.1,-0.5,1,False,False perplexity_sonar_pro,15,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False perplexity_sonar_pro,15,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False perplexity_sonar_pro,15,line_intersection,1,20,13,7,0.35,0.65,0.46153846153846156,2,False,False perplexity_sonar_pro,15,line_intersection,2,20,16,7,0.35,0.8,0.6923076923076923,0,False,False perplexity_sonar_pro,15,line_intersection,3,20,16,5,0.25,0.8,0.7333333333333333,left,False,False perplexity_sonar_pro,15,line_intersection,4,20,12,4,0.2,0.6,0.5,"0,0",False,False perplexity_sonar_pro,15,line_intersection,5,20,11,10,0.5,0.55,0.1,0,False,False perplexity_sonar_pro,15,nested_hexagons,1,20,11,5,0.25,0.55,0.4,4,False,False perplexity_sonar_pro,15,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False perplexity_sonar_pro,15,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False perplexity_sonar_pro,15,nested_hexagons,4,20,3,5,0.25,0.15,-0.13333333333333333,0,False,False perplexity_sonar_pro,15,nested_hexagons,5,20,13,10,0.5,0.65,0.3,no,False,False perplexity_sonar_pro,15,nested_squares,1,20,5,4,0.2,0.25,0.0625,5,False,False perplexity_sonar_pro,15,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False perplexity_sonar_pro,15,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False perplexity_sonar_pro,15,nested_squares,4,20,1,3,0.15,0.05,-0.11764705882352941,0,False,False perplexity_sonar_pro,15,nested_squares,5,20,11,12,0.6,0.55,-0.125,yes,False,False perplexity_sonar_pro,15,nested_triangles,1,20,12,6,0.3,0.6,0.42857142857142855,4,False,False perplexity_sonar_pro,15,nested_triangles,2,20,15,13,0.65,0.75,0.2857142857142857,constant,False,False perplexity_sonar_pro,15,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False perplexity_sonar_pro,15,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False perplexity_sonar_pro,15,nested_triangles,5,20,17,12,0.6,0.85,0.625,yes,False,False perplexity_sonar_pro,15,occluded_pattern,1,20,9,4,0.2,0.45,0.3125,8,False,False perplexity_sonar_pro,15,occluded_pattern,2,20,5,5,0.25,0.25,0.0,10,False,False perplexity_sonar_pro,15,occluded_pattern,3,20,13,9,0.45,0.65,0.36363636363636365,circle,False,False perplexity_sonar_pro,15,occluded_pattern,4,20,0,6,0.3,0.0,-0.42857142857142855,2,False,False perplexity_sonar_pro,15,occluded_pattern,5,20,1,5,0.25,0.05,-0.26666666666666666,11,False,False perplexity_sonar_pro,15,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False perplexity_sonar_pro,15,optical_illusion,2,20,19,12,0.6,0.95,0.875,B,False,False perplexity_sonar_pro,15,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False perplexity_sonar_pro,15,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False perplexity_sonar_pro,15,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False perplexity_sonar_pro,15,orthographic,1,20,8,6,0.3,0.4,0.14285714285714285,6,False,False perplexity_sonar_pro,15,orthographic,2,20,3,5,0.25,0.15,-0.13333333333333333,9,False,False perplexity_sonar_pro,15,orthographic,3,20,4,5,0.25,0.2,-0.06666666666666667,front,False,False perplexity_sonar_pro,15,orthographic,4,20,6,8,0.4,0.3,-0.16666666666666666,not unique,False,False perplexity_sonar_pro,15,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False perplexity_sonar_pro,15,overlap_circles,1,20,7,5,0.25,0.35,0.13333333333333333,10,False,False perplexity_sonar_pro,15,overlap_circles,2,20,10,11,0.55,0.5,-0.1111111111111111,no,False,False perplexity_sonar_pro,15,overlap_circles,3,20,3,3,0.15,0.15,0.0,1.8,False,False perplexity_sonar_pro,15,overlap_circles,4,20,10,6,0.3,0.5,0.2857142857142857,0,False,False perplexity_sonar_pro,15,overlap_circles,5,20,6,4,0.2,0.3,0.125,17,False,False perplexity_sonar_pro,15,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False perplexity_sonar_pro,15,physical_stability,2,20,8,11,0.55,0.4,-0.3333333333333333,right,False,False perplexity_sonar_pro,15,physical_stability,3,20,13,10,0.5,0.65,0.3,D,False,False perplexity_sonar_pro,15,physical_stability,4,20,0,8,0.4,0.0,-0.6666666666666666,stable,False,False perplexity_sonar_pro,15,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False perplexity_sonar_pro,15,polyhedron,1,20,7,8,0.4,0.35,-0.08333333333333333,14,False,False perplexity_sonar_pro,15,polyhedron,2,20,14,19,0.95,0.7,-5.0,convex,False,False perplexity_sonar_pro,15,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False perplexity_sonar_pro,15,polyhedron,4,20,17,6,0.3,0.85,0.7857142857142857,no,False,False perplexity_sonar_pro,15,polyhedron,5,20,20,20,1.0,1.0,,no,True,False perplexity_sonar_pro,15,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False perplexity_sonar_pro,15,projectile_motion,2,20,17,11,0.55,0.85,0.6666666666666666,yes,False,False perplexity_sonar_pro,15,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False perplexity_sonar_pro,15,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False perplexity_sonar_pro,15,projectile_motion,5,20,9,15,0.75,0.45,-1.2,increase,False,False perplexity_sonar_pro,15,rotation_matching,1,20,13,8,0.4,0.65,0.4166666666666667,7,False,False perplexity_sonar_pro,15,rotation_matching,2,20,7,6,0.3,0.35,0.07142857142857142,B,False,False perplexity_sonar_pro,15,rotation_matching,3,20,1,4,0.2,0.05,-0.1875,315,False,False perplexity_sonar_pro,15,rotation_matching,4,20,1,7,0.35,0.05,-0.46153846153846156,A,False,False perplexity_sonar_pro,15,rotation_matching,5,20,18,4,0.2,0.9,0.875,225,False,False perplexity_sonar_pro,15,route,1,20,17,6,0.3,0.85,0.7857142857142857,6,False,False perplexity_sonar_pro,15,route,2,20,2,11,0.55,0.1,-1.0,1,False,False perplexity_sonar_pro,15,route,3,20,1,5,0.25,0.05,-0.26666666666666666,4,False,False perplexity_sonar_pro,15,route,4,20,1,1,0.05,0.05,0.0,AC,False,False perplexity_sonar_pro,15,route,5,20,5,6,0.3,0.25,-0.07142857142857142,4,False,False perplexity_sonar_pro,15,rpm,1,20,20,9,0.45,1.0,1.0,1,False,False perplexity_sonar_pro,15,rpm,2,20,10,4,0.2,0.5,0.375,1,False,False perplexity_sonar_pro,15,rpm,3,20,13,5,0.25,0.65,0.5333333333333333,correct shape but wrong color,False,False perplexity_sonar_pro,15,rpm,4,20,5,5,0.25,0.25,0.0,8,False,False perplexity_sonar_pro,15,rpm,5,20,6,11,0.55,0.3,-0.5555555555555556,9,False,False perplexity_sonar_pro,15,shadow_inference,1,20,14,10,0.5,0.7,0.4,2,False,False perplexity_sonar_pro,15,shadow_inference,2,20,6,7,0.35,0.3,-0.07692307692307693,right,False,False perplexity_sonar_pro,15,shadow_inference,3,20,9,7,0.35,0.45,0.15384615384615385,low,False,False perplexity_sonar_pro,15,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False perplexity_sonar_pro,15,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False perplexity_sonar_pro,15,surface_topology,1,20,15,8,0.4,0.75,0.5833333333333334,3,False,False perplexity_sonar_pro,15,surface_topology,2,20,19,18,0.9,0.95,0.5,orientable,False,False perplexity_sonar_pro,15,surface_topology,3,20,5,7,0.35,0.25,-0.15384615384615385,0,False,False perplexity_sonar_pro,15,surface_topology,4,20,13,8,0.4,0.65,0.4166666666666667,-4; orientable,False,False perplexity_sonar_pro,15,surface_topology,5,20,6,8,0.4,0.3,-0.16666666666666666,-5,False,False perplexity_sonar_pro,15,symmetry_pattern,1,20,16,11,0.55,0.8,0.5555555555555556,8,False,False perplexity_sonar_pro,15,symmetry_pattern,2,20,16,11,0.55,0.8,0.5555555555555556,broken,False,False perplexity_sonar_pro,15,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False perplexity_sonar_pro,15,symmetry_pattern,4,20,6,7,0.35,0.3,-0.07692307692307693,8,False,False perplexity_sonar_pro,15,symmetry_pattern,5,20,13,20,1.0,0.65,,yes,True,False perplexity_sonar_pro,25,angle_estimation,1,20,15,7,0.35,0.75,0.6153846153846154,2,False,False perplexity_sonar_pro,25,angle_estimation,2,20,11,4,0.2,0.55,0.4375,Angle 2,False,False perplexity_sonar_pro,25,angle_estimation,3,20,6,6,0.3,0.3,0.0,greater than,False,False perplexity_sonar_pro,25,angle_estimation,4,20,5,4,0.2,0.25,0.0625,180,False,False perplexity_sonar_pro,25,angle_estimation,5,20,5,6,0.3,0.25,-0.07142857142857142,exceeds 180,False,False perplexity_sonar_pro,25,clock_reading,1,20,11,4,0.2,0.55,0.4375,10,False,False perplexity_sonar_pro,25,clock_reading,2,20,7,10,0.5,0.35,-0.3,after,False,False perplexity_sonar_pro,25,clock_reading,3,20,9,1,0.05,0.45,0.42105263157894735,02:15,False,False perplexity_sonar_pro,25,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False perplexity_sonar_pro,25,clock_reading,5,20,1,1,0.05,0.05,0.0,104,False,False perplexity_sonar_pro,25,combination,1,20,4,7,0.35,0.2,-0.23076923076923078,10,False,False perplexity_sonar_pro,25,combination,2,20,8,13,0.65,0.4,-0.7142857142857143,C,False,False perplexity_sonar_pro,25,combination,3,20,10,8,0.4,0.5,0.16666666666666666,yes,False,False perplexity_sonar_pro,25,combination,4,20,3,7,0.35,0.15,-0.3076923076923077,B,False,False perplexity_sonar_pro,25,combination,5,20,16,14,0.7,0.8,0.3333333333333333,connected,False,False perplexity_sonar_pro,25,combination3d,1,20,3,7,0.35,0.15,-0.3076923076923077,14,False,False perplexity_sonar_pro,25,combination3d,2,20,7,7,0.35,0.35,0.0,B,False,False perplexity_sonar_pro,25,combination3d,3,20,10,10,0.5,0.5,0.0,yes,False,False perplexity_sonar_pro,25,combination3d,4,20,1,5,0.25,0.05,-0.26666666666666666,D,False,False perplexity_sonar_pro,25,combination3d,5,20,10,10,0.5,0.5,0.0,"same shape, different angle",False,False perplexity_sonar_pro,25,compass_bearing,1,20,19,13,0.65,0.95,0.8571428571428571,3,False,False perplexity_sonar_pro,25,compass_bearing,2,20,17,9,0.45,0.85,0.7272727272727273,north,False,False perplexity_sonar_pro,25,compass_bearing,3,20,6,2,0.1,0.3,0.2222222222222222,020,False,False perplexity_sonar_pro,25,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False perplexity_sonar_pro,25,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False perplexity_sonar_pro,25,coordinate_geometry,1,20,5,2,0.1,0.25,0.16666666666666666,"(-6, -2)",False,False perplexity_sonar_pro,25,coordinate_geometry,2,20,3,3,0.15,0.15,0.0,4.47,False,False perplexity_sonar_pro,25,coordinate_geometry,3,20,9,5,0.25,0.45,0.26666666666666666,A and B,False,False perplexity_sonar_pro,25,coordinate_geometry,4,20,14,6,0.3,0.7,0.5714285714285714,less than,False,False perplexity_sonar_pro,25,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False perplexity_sonar_pro,25,cube_net,1,20,20,20,1.0,1.0,,6,True,False perplexity_sonar_pro,25,cube_net,2,20,18,9,0.45,0.9,0.8181818181818182,E,False,False perplexity_sonar_pro,25,cube_net,3,20,10,4,0.2,0.5,0.375,2,False,False perplexity_sonar_pro,25,cube_net,4,20,8,11,0.55,0.4,-0.3333333333333333,adjacent,False,False perplexity_sonar_pro,25,cube_net,5,20,13,18,0.9,0.65,-2.5,no,False,False perplexity_sonar_pro,25,cube_structure,1,20,5,6,0.3,0.25,-0.07142857142857142,12,False,False perplexity_sonar_pro,25,cube_structure,2,20,5,4,0.2,0.25,0.0625,10,False,False perplexity_sonar_pro,25,cube_structure,3,20,15,10,0.5,0.75,0.5,1,False,False perplexity_sonar_pro,25,cube_structure,4,20,7,8,0.4,0.35,-0.08333333333333333,2,False,False perplexity_sonar_pro,25,cube_structure,5,20,4,8,0.4,0.2,-0.3333333333333333,2,False,False perplexity_sonar_pro,25,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False perplexity_sonar_pro,25,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False perplexity_sonar_pro,25,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False perplexity_sonar_pro,25,depth_height,4,20,6,2,0.1,0.3,0.2222222222222222,0.77,False,False perplexity_sonar_pro,25,depth_height,5,20,14,11,0.55,0.7,0.3333333333333333,smaller,False,False perplexity_sonar_pro,25,embedded_figures,1,20,4,6,0.3,0.2,-0.14285714285714285,13,False,False perplexity_sonar_pro,25,embedded_figures,2,20,5,10,0.5,0.25,-0.5,6,False,False perplexity_sonar_pro,25,embedded_figures,3,20,6,10,0.5,0.3,-0.4,D,False,False perplexity_sonar_pro,25,embedded_figures,4,20,3,7,0.35,0.15,-0.3076923076923077,6,False,False perplexity_sonar_pro,25,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False perplexity_sonar_pro,25,fbd,1,20,20,8,0.4,1.0,1.0,4,False,False perplexity_sonar_pro,25,fbd,2,20,15,5,0.25,0.75,0.6666666666666666,N,False,False perplexity_sonar_pro,25,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False perplexity_sonar_pro,25,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False perplexity_sonar_pro,25,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False perplexity_sonar_pro,25,fold_punch,1,20,20,12,0.6,1.0,1.0,3,False,False perplexity_sonar_pro,25,fold_punch,2,20,14,12,0.6,0.7,0.25,8,False,False perplexity_sonar_pro,25,fold_punch,3,20,5,7,0.35,0.25,-0.15384615384615385,B,False,False perplexity_sonar_pro,25,fold_punch,4,20,4,7,0.35,0.2,-0.23076923076923078,exactly half,False,False perplexity_sonar_pro,25,fold_punch,5,20,4,10,0.5,0.2,-0.6,16,False,False perplexity_sonar_pro,25,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False perplexity_sonar_pro,25,gauge_reading,2,20,19,12,0.6,0.95,0.875,upper half,False,False perplexity_sonar_pro,25,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False perplexity_sonar_pro,25,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False perplexity_sonar_pro,25,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False perplexity_sonar_pro,25,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False perplexity_sonar_pro,25,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False perplexity_sonar_pro,25,gear_train,3,20,18,6,0.3,0.9,0.8571428571428571,C,False,False perplexity_sonar_pro,25,gear_train,4,20,1,1,0.05,0.05,0.0,101.8,False,False perplexity_sonar_pro,25,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False perplexity_sonar_pro,25,hex_pathfinding,1,20,0,3,0.15,0.0,-0.17647058823529413,5,False,False perplexity_sonar_pro,25,hex_pathfinding,2,20,11,11,0.55,0.55,0.0,walkable,False,False perplexity_sonar_pro,25,hex_pathfinding,3,20,1,6,0.3,0.05,-0.35714285714285715,5,False,False perplexity_sonar_pro,25,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False perplexity_sonar_pro,25,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False perplexity_sonar_pro,25,impossible_object,1,20,10,11,0.55,0.5,-0.1111111111111111,5,False,False perplexity_sonar_pro,25,impossible_object,2,20,11,16,0.8,0.55,-1.25,yes,False,False perplexity_sonar_pro,25,impossible_object,3,20,6,7,0.35,0.3,-0.07692307692307693,C,False,False perplexity_sonar_pro,25,impossible_object,4,20,1,8,0.4,0.05,-0.5833333333333334,6,False,False perplexity_sonar_pro,25,impossible_object,5,20,3,16,0.8,0.15,-3.25,already constructible,False,False perplexity_sonar_pro,25,laser_mirror,1,20,19,9,0.45,0.95,0.9090909090909091,3,False,False perplexity_sonar_pro,25,laser_mirror,2,20,15,14,0.7,0.75,0.16666666666666666,yes,False,False perplexity_sonar_pro,25,laser_mirror,3,20,0,8,0.4,0.0,-0.6666666666666666,1,False,False perplexity_sonar_pro,25,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False perplexity_sonar_pro,25,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False perplexity_sonar_pro,25,line_intersection,1,20,12,7,0.35,0.6,0.38461538461538464,2,False,False perplexity_sonar_pro,25,line_intersection,2,20,15,7,0.35,0.75,0.6153846153846154,0,False,False perplexity_sonar_pro,25,line_intersection,3,20,17,5,0.25,0.85,0.8,left,False,False perplexity_sonar_pro,25,line_intersection,4,20,12,4,0.2,0.6,0.5,"0,0",False,False perplexity_sonar_pro,25,line_intersection,5,20,8,10,0.5,0.4,-0.2,0,False,False perplexity_sonar_pro,25,nested_hexagons,1,20,11,5,0.25,0.55,0.4,4,False,False perplexity_sonar_pro,25,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False perplexity_sonar_pro,25,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False perplexity_sonar_pro,25,nested_hexagons,4,20,2,5,0.25,0.1,-0.2,0,False,False perplexity_sonar_pro,25,nested_hexagons,5,20,10,10,0.5,0.5,0.0,no,False,False perplexity_sonar_pro,25,nested_squares,1,20,5,4,0.2,0.25,0.0625,5,False,False perplexity_sonar_pro,25,nested_squares,2,20,8,11,0.55,0.4,-0.3333333333333333,changing,False,False perplexity_sonar_pro,25,nested_squares,3,20,2,2,0.1,0.1,0.0,5.3,False,False perplexity_sonar_pro,25,nested_squares,4,20,2,3,0.15,0.1,-0.058823529411764705,0,False,False perplexity_sonar_pro,25,nested_squares,5,20,8,12,0.6,0.4,-0.5,yes,False,False perplexity_sonar_pro,25,nested_triangles,1,20,8,6,0.3,0.4,0.14285714285714285,4,False,False perplexity_sonar_pro,25,nested_triangles,2,20,14,13,0.65,0.7,0.14285714285714285,constant,False,False perplexity_sonar_pro,25,nested_triangles,3,20,2,2,0.1,0.1,0.0,4.1,False,False perplexity_sonar_pro,25,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False perplexity_sonar_pro,25,nested_triangles,5,20,13,12,0.6,0.65,0.125,yes,False,False perplexity_sonar_pro,25,occluded_pattern,1,20,11,4,0.2,0.55,0.4375,8,False,False perplexity_sonar_pro,25,occluded_pattern,2,20,4,5,0.25,0.2,-0.06666666666666667,10,False,False perplexity_sonar_pro,25,occluded_pattern,3,20,14,9,0.45,0.7,0.45454545454545453,circle,False,False perplexity_sonar_pro,25,occluded_pattern,4,20,0,6,0.3,0.0,-0.42857142857142855,2,False,False perplexity_sonar_pro,25,occluded_pattern,5,20,1,5,0.25,0.05,-0.26666666666666666,11,False,False perplexity_sonar_pro,25,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False perplexity_sonar_pro,25,optical_illusion,2,20,17,12,0.6,0.85,0.625,B,False,False perplexity_sonar_pro,25,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False perplexity_sonar_pro,25,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False perplexity_sonar_pro,25,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False perplexity_sonar_pro,25,orthographic,1,20,6,6,0.3,0.3,0.0,6,False,False perplexity_sonar_pro,25,orthographic,2,20,5,5,0.25,0.25,0.0,9,False,False perplexity_sonar_pro,25,orthographic,3,20,10,5,0.25,0.5,0.3333333333333333,front,False,False perplexity_sonar_pro,25,orthographic,4,20,9,8,0.4,0.45,0.08333333333333333,not unique,False,False perplexity_sonar_pro,25,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False perplexity_sonar_pro,25,overlap_circles,1,20,8,5,0.25,0.4,0.2,10,False,False perplexity_sonar_pro,25,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False perplexity_sonar_pro,25,overlap_circles,3,20,4,3,0.15,0.2,0.058823529411764705,1.8,False,False perplexity_sonar_pro,25,overlap_circles,4,20,9,6,0.3,0.45,0.21428571428571427,0,False,False perplexity_sonar_pro,25,overlap_circles,5,20,2,4,0.2,0.1,-0.125,17,False,False perplexity_sonar_pro,25,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False perplexity_sonar_pro,25,physical_stability,2,20,10,11,0.55,0.5,-0.1111111111111111,right,False,False perplexity_sonar_pro,25,physical_stability,3,20,13,10,0.5,0.65,0.3,D,False,False perplexity_sonar_pro,25,physical_stability,4,20,3,8,0.4,0.15,-0.4166666666666667,stable,False,False perplexity_sonar_pro,25,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False perplexity_sonar_pro,25,polyhedron,1,20,9,8,0.4,0.45,0.08333333333333333,14,False,False perplexity_sonar_pro,25,polyhedron,2,20,10,19,0.95,0.5,-9.0,convex,False,False perplexity_sonar_pro,25,polyhedron,3,20,4,7,0.35,0.2,-0.23076923076923078,mixed,False,False perplexity_sonar_pro,25,polyhedron,4,20,13,6,0.3,0.65,0.5,no,False,False perplexity_sonar_pro,25,polyhedron,5,20,20,20,1.0,1.0,,no,True,False perplexity_sonar_pro,25,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False perplexity_sonar_pro,25,projectile_motion,2,20,17,11,0.55,0.85,0.6666666666666666,yes,False,False perplexity_sonar_pro,25,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False perplexity_sonar_pro,25,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False perplexity_sonar_pro,25,projectile_motion,5,20,9,15,0.75,0.45,-1.2,increase,False,False perplexity_sonar_pro,25,rotation_matching,1,20,14,8,0.4,0.7,0.5,7,False,False perplexity_sonar_pro,25,rotation_matching,2,20,4,6,0.3,0.2,-0.14285714285714285,B,False,False perplexity_sonar_pro,25,rotation_matching,3,20,1,4,0.2,0.05,-0.1875,315,False,False perplexity_sonar_pro,25,rotation_matching,4,20,4,7,0.35,0.2,-0.23076923076923078,A,False,False perplexity_sonar_pro,25,rotation_matching,5,20,20,4,0.2,1.0,1.0,225,False,False perplexity_sonar_pro,25,route,1,20,17,6,0.3,0.85,0.7857142857142857,6,False,False perplexity_sonar_pro,25,route,2,20,3,11,0.55,0.15,-0.8888888888888888,1,False,False perplexity_sonar_pro,25,route,3,20,1,5,0.25,0.05,-0.26666666666666666,4,False,False perplexity_sonar_pro,25,route,4,20,1,1,0.05,0.05,0.0,AC,False,False perplexity_sonar_pro,25,route,5,20,6,6,0.3,0.3,0.0,4,False,False perplexity_sonar_pro,25,rpm,1,20,19,9,0.45,0.95,0.9090909090909091,1,False,False perplexity_sonar_pro,25,rpm,2,20,10,4,0.2,0.5,0.375,1,False,False perplexity_sonar_pro,25,rpm,3,20,12,5,0.25,0.6,0.4666666666666667,correct shape but wrong color,False,False perplexity_sonar_pro,25,rpm,4,20,1,5,0.25,0.05,-0.26666666666666666,8,False,False perplexity_sonar_pro,25,rpm,5,20,6,11,0.55,0.3,-0.5555555555555556,9,False,False perplexity_sonar_pro,25,shadow_inference,1,20,13,10,0.5,0.65,0.3,2,False,False perplexity_sonar_pro,25,shadow_inference,2,20,1,7,0.35,0.05,-0.46153846153846156,right,False,False perplexity_sonar_pro,25,shadow_inference,3,20,13,7,0.35,0.65,0.46153846153846156,low,False,False perplexity_sonar_pro,25,shadow_inference,4,20,2,8,0.4,0.1,-0.5,same,False,False perplexity_sonar_pro,25,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False perplexity_sonar_pro,25,surface_topology,1,20,16,8,0.4,0.8,0.6666666666666666,3,False,False perplexity_sonar_pro,25,surface_topology,2,20,20,18,0.9,1.0,1.0,orientable,False,False perplexity_sonar_pro,25,surface_topology,3,20,7,7,0.35,0.35,0.0,0,False,False perplexity_sonar_pro,25,surface_topology,4,20,15,8,0.4,0.75,0.5833333333333334,-4; orientable,False,False perplexity_sonar_pro,25,surface_topology,5,20,3,8,0.4,0.15,-0.4166666666666667,-5,False,False perplexity_sonar_pro,25,symmetry_pattern,1,20,18,11,0.55,0.9,0.7777777777777778,8,False,False perplexity_sonar_pro,25,symmetry_pattern,2,20,16,11,0.55,0.8,0.5555555555555556,broken,False,False perplexity_sonar_pro,25,symmetry_pattern,3,20,12,6,0.3,0.6,0.42857142857142855,mirror,False,False perplexity_sonar_pro,25,symmetry_pattern,4,20,4,7,0.35,0.2,-0.23076923076923078,8,False,False perplexity_sonar_pro,25,symmetry_pattern,5,20,14,20,1.0,0.7,,yes,True,False perplexity_sonar_pro,40,angle_estimation,1,20,13,7,0.35,0.65,0.46153846153846156,2,False,False perplexity_sonar_pro,40,angle_estimation,2,20,8,4,0.2,0.4,0.25,Angle 2,False,False perplexity_sonar_pro,40,angle_estimation,3,20,3,6,0.3,0.15,-0.21428571428571427,greater than,False,False perplexity_sonar_pro,40,angle_estimation,4,20,5,4,0.2,0.25,0.0625,180,False,False perplexity_sonar_pro,40,angle_estimation,5,20,4,6,0.3,0.2,-0.14285714285714285,exceeds 180,False,False perplexity_sonar_pro,40,clock_reading,1,20,8,4,0.2,0.4,0.25,10,False,False perplexity_sonar_pro,40,clock_reading,2,20,8,10,0.5,0.4,-0.2,after,False,False perplexity_sonar_pro,40,clock_reading,3,20,7,1,0.05,0.35,0.3157894736842105,02:15,False,False perplexity_sonar_pro,40,clock_reading,4,20,0,1,0.05,0.0,-0.05263157894736842,123,False,False perplexity_sonar_pro,40,clock_reading,5,20,0,1,0.05,0.0,-0.05263157894736842,104,False,False perplexity_sonar_pro,40,combination,1,20,3,7,0.35,0.15,-0.3076923076923077,10,False,False perplexity_sonar_pro,40,combination,2,20,10,13,0.65,0.5,-0.42857142857142855,C,False,False perplexity_sonar_pro,40,combination,3,20,12,8,0.4,0.6,0.3333333333333333,yes,False,False perplexity_sonar_pro,40,combination,4,20,7,7,0.35,0.35,0.0,B,False,False perplexity_sonar_pro,40,combination,5,20,15,14,0.7,0.75,0.16666666666666666,connected,False,False perplexity_sonar_pro,40,combination3d,1,20,3,7,0.35,0.15,-0.3076923076923077,14,False,False perplexity_sonar_pro,40,combination3d,2,20,7,7,0.35,0.35,0.0,B,False,False perplexity_sonar_pro,40,combination3d,3,20,12,10,0.5,0.6,0.2,yes,False,False perplexity_sonar_pro,40,combination3d,4,20,2,5,0.25,0.1,-0.2,D,False,False perplexity_sonar_pro,40,combination3d,5,20,11,10,0.5,0.55,0.1,"same shape, different angle",False,False perplexity_sonar_pro,40,compass_bearing,1,20,19,13,0.65,0.95,0.8571428571428571,3,False,False perplexity_sonar_pro,40,compass_bearing,2,20,17,9,0.45,0.85,0.7272727272727273,north,False,False perplexity_sonar_pro,40,compass_bearing,3,20,5,2,0.1,0.25,0.16666666666666666,020,False,False perplexity_sonar_pro,40,compass_bearing,4,20,0,1,0.05,0.0,-0.05263157894736842,12 degrees counterclockwise,False,False perplexity_sonar_pro,40,compass_bearing,5,20,0,1,0.05,0.0,-0.05263157894736842,A; projected endpoint is closest to A (181.7 map units away; bearing difference 85.6 degrees),False,False perplexity_sonar_pro,40,coordinate_geometry,1,20,3,2,0.1,0.15,0.05555555555555555,"(-6, -2)",False,False perplexity_sonar_pro,40,coordinate_geometry,2,20,1,3,0.15,0.05,-0.11764705882352941,4.47,False,False perplexity_sonar_pro,40,coordinate_geometry,3,20,3,5,0.25,0.15,-0.13333333333333333,A and B,False,False perplexity_sonar_pro,40,coordinate_geometry,4,20,13,6,0.3,0.65,0.5,less than,False,False perplexity_sonar_pro,40,coordinate_geometry,5,20,1,3,0.15,0.05,-0.11764705882352941,3.16,False,False perplexity_sonar_pro,40,cube_net,1,20,20,20,1.0,1.0,,6,True,False perplexity_sonar_pro,40,cube_net,2,20,19,9,0.45,0.95,0.9090909090909091,E,False,False perplexity_sonar_pro,40,cube_net,3,20,7,4,0.2,0.35,0.1875,2,False,False perplexity_sonar_pro,40,cube_net,4,20,6,11,0.55,0.3,-0.5555555555555556,adjacent,False,False perplexity_sonar_pro,40,cube_net,5,20,16,18,0.9,0.8,-1.0,no,False,False perplexity_sonar_pro,40,cube_structure,1,20,5,6,0.3,0.25,-0.07142857142857142,12,False,False perplexity_sonar_pro,40,cube_structure,2,20,3,4,0.2,0.15,-0.0625,10,False,False perplexity_sonar_pro,40,cube_structure,3,20,9,10,0.5,0.45,-0.1,1,False,False perplexity_sonar_pro,40,cube_structure,4,20,2,8,0.4,0.1,-0.5,2,False,False perplexity_sonar_pro,40,cube_structure,5,20,4,8,0.4,0.2,-0.3333333333333333,2,False,False perplexity_sonar_pro,40,depth_height,1,20,20,8,0.4,1.0,1.0,3,False,False perplexity_sonar_pro,40,depth_height,2,20,0,6,0.3,0.0,-0.42857142857142855,magenta,False,False perplexity_sonar_pro,40,depth_height,3,20,0,2,0.1,0.0,-0.1111111111111111,"['blue', 'teal']",False,False perplexity_sonar_pro,40,depth_height,4,20,3,2,0.1,0.15,0.05555555555555555,0.77,False,False perplexity_sonar_pro,40,depth_height,5,20,15,11,0.55,0.75,0.4444444444444444,smaller,False,False perplexity_sonar_pro,40,embedded_figures,1,20,5,6,0.3,0.25,-0.07142857142857142,13,False,False perplexity_sonar_pro,40,embedded_figures,2,20,7,10,0.5,0.35,-0.3,6,False,False perplexity_sonar_pro,40,embedded_figures,3,20,5,10,0.5,0.25,-0.5,D,False,False perplexity_sonar_pro,40,embedded_figures,4,20,3,7,0.35,0.15,-0.3076923076923077,6,False,False perplexity_sonar_pro,40,embedded_figures,5,20,13,13,0.65,0.65,0.0,open,False,False perplexity_sonar_pro,40,fbd,1,20,19,8,0.4,0.95,0.9166666666666666,4,False,False perplexity_sonar_pro,40,fbd,2,20,14,5,0.25,0.7,0.6,N,False,False perplexity_sonar_pro,40,fbd,3,20,0,2,0.1,0.0,-0.1111111111111111,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}",False,False perplexity_sonar_pro,40,fbd,4,20,0,2,0.1,0.0,-0.1111111111111111,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False perplexity_sonar_pro,40,fbd,5,20,3,9,0.45,0.15,-0.5454545454545454,"downward (270 degrees; 0=right, 90=up)",False,False perplexity_sonar_pro,40,fold_punch,1,20,19,12,0.6,0.95,0.875,3,False,False perplexity_sonar_pro,40,fold_punch,2,20,8,12,0.6,0.4,-0.5,8,False,False perplexity_sonar_pro,40,fold_punch,3,20,4,7,0.35,0.2,-0.23076923076923078,B,False,False perplexity_sonar_pro,40,fold_punch,4,20,5,7,0.35,0.25,-0.15384615384615385,exactly half,False,False perplexity_sonar_pro,40,fold_punch,5,20,3,10,0.5,0.15,-0.7,16,False,False perplexity_sonar_pro,40,gauge_reading,1,20,20,15,0.75,1.0,1.0,0,False,False perplexity_sonar_pro,40,gauge_reading,2,20,19,12,0.6,0.95,0.875,upper half,False,False perplexity_sonar_pro,40,gauge_reading,3,20,16,2,0.1,0.8,0.7777777777777778,100,False,False perplexity_sonar_pro,40,gauge_reading,4,20,0,14,0.7,0.0,-2.3333333333333335,no danger zone marked,False,False perplexity_sonar_pro,40,gauge_reading,5,20,0,2,0.1,0.0,-0.1111111111111111,no; new value 85,False,False perplexity_sonar_pro,40,gear_train,1,20,20,8,0.4,1.0,1.0,5,False,False perplexity_sonar_pro,40,gear_train,2,20,0,20,1.0,0.0,,opposite,True,False perplexity_sonar_pro,40,gear_train,3,20,16,6,0.3,0.8,0.7142857142857143,C,False,False perplexity_sonar_pro,40,gear_train,4,20,0,1,0.05,0.0,-0.05263157894736842,101.8,False,False perplexity_sonar_pro,40,gear_train,5,20,0,8,0.4,0.0,-0.6666666666666666,decrease; direction unchanged,False,False perplexity_sonar_pro,40,hex_pathfinding,1,20,1,3,0.15,0.05,-0.11764705882352941,5,False,False perplexity_sonar_pro,40,hex_pathfinding,2,20,11,11,0.55,0.55,0.0,walkable,False,False perplexity_sonar_pro,40,hex_pathfinding,3,20,3,6,0.3,0.15,-0.21428571428571427,5,False,False perplexity_sonar_pro,40,hex_pathfinding,4,20,0,5,0.25,0.0,-0.3333333333333333,multiple (4),False,False perplexity_sonar_pro,40,hex_pathfinding,5,20,0,5,0.25,0.0,-0.3333333333333333,no valid path exists,False,False perplexity_sonar_pro,40,impossible_object,1,20,10,11,0.55,0.5,-0.1111111111111111,5,False,False perplexity_sonar_pro,40,impossible_object,2,20,7,16,0.8,0.35,-2.25,yes,False,False perplexity_sonar_pro,40,impossible_object,3,20,3,7,0.35,0.15,-0.3076923076923077,C,False,False perplexity_sonar_pro,40,impossible_object,4,20,1,8,0.4,0.05,-0.5833333333333334,6,False,False perplexity_sonar_pro,40,impossible_object,5,20,2,16,0.8,0.1,-3.5,already constructible,False,False perplexity_sonar_pro,40,laser_mirror,1,20,20,9,0.45,1.0,1.0,3,False,False perplexity_sonar_pro,40,laser_mirror,2,20,15,14,0.7,0.75,0.16666666666666666,yes,False,False perplexity_sonar_pro,40,laser_mirror,3,20,0,8,0.4,0.0,-0.6666666666666666,1,False,False perplexity_sonar_pro,40,laser_mirror,4,20,0,2,0.1,0.0,-0.1111111111111111,"bottom, position 3",False,False perplexity_sonar_pro,40,laser_mirror,5,20,0,2,0.1,0.0,-0.1111111111111111,"yes; exits at right, position 6",False,False perplexity_sonar_pro,40,line_intersection,1,20,10,7,0.35,0.5,0.23076923076923078,2,False,False perplexity_sonar_pro,40,line_intersection,2,20,17,7,0.35,0.85,0.7692307692307693,0,False,False perplexity_sonar_pro,40,line_intersection,3,20,16,5,0.25,0.8,0.7333333333333333,left,False,False perplexity_sonar_pro,40,line_intersection,4,20,10,4,0.2,0.5,0.375,"0,0",False,False perplexity_sonar_pro,40,line_intersection,5,20,9,10,0.5,0.45,-0.1,0,False,False perplexity_sonar_pro,40,nested_hexagons,1,20,15,5,0.25,0.75,0.6666666666666666,4,False,False perplexity_sonar_pro,40,nested_hexagons,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False perplexity_sonar_pro,40,nested_hexagons,3,20,0,2,0.1,0.0,-0.1111111111111111,4.0,False,False perplexity_sonar_pro,40,nested_hexagons,4,20,2,5,0.25,0.1,-0.2,0,False,False perplexity_sonar_pro,40,nested_hexagons,5,20,10,10,0.5,0.5,0.0,no,False,False perplexity_sonar_pro,40,nested_squares,1,20,8,4,0.2,0.4,0.25,5,False,False perplexity_sonar_pro,40,nested_squares,2,20,9,11,0.55,0.45,-0.2222222222222222,changing,False,False perplexity_sonar_pro,40,nested_squares,3,20,0,2,0.1,0.0,-0.1111111111111111,5.3,False,False perplexity_sonar_pro,40,nested_squares,4,20,0,3,0.15,0.0,-0.17647058823529413,0,False,False perplexity_sonar_pro,40,nested_squares,5,20,14,12,0.6,0.7,0.25,yes,False,False perplexity_sonar_pro,40,nested_triangles,1,20,6,6,0.3,0.3,0.0,4,False,False perplexity_sonar_pro,40,nested_triangles,2,20,12,13,0.65,0.6,-0.14285714285714285,constant,False,False perplexity_sonar_pro,40,nested_triangles,3,20,0,2,0.1,0.0,-0.1111111111111111,4.1,False,False perplexity_sonar_pro,40,nested_triangles,4,20,1,2,0.1,0.05,-0.05555555555555555,75,False,False perplexity_sonar_pro,40,nested_triangles,5,20,10,12,0.6,0.5,-0.25,yes,False,False perplexity_sonar_pro,40,occluded_pattern,1,20,13,4,0.2,0.65,0.5625,8,False,False perplexity_sonar_pro,40,occluded_pattern,2,20,3,5,0.25,0.15,-0.13333333333333333,10,False,False perplexity_sonar_pro,40,occluded_pattern,3,20,13,9,0.45,0.65,0.36363636363636365,circle,False,False perplexity_sonar_pro,40,occluded_pattern,4,20,2,6,0.3,0.1,-0.2857142857142857,2,False,False perplexity_sonar_pro,40,occluded_pattern,5,20,1,5,0.25,0.05,-0.26666666666666666,11,False,False perplexity_sonar_pro,40,optical_illusion,1,20,20,20,1.0,1.0,,2,True,False perplexity_sonar_pro,40,optical_illusion,2,20,16,12,0.6,0.8,0.5,B,False,False perplexity_sonar_pro,40,optical_illusion,3,20,9,9,0.45,0.45,0.0,equal,False,False perplexity_sonar_pro,40,optical_illusion,4,20,9,9,0.45,0.45,0.0,0,False,False perplexity_sonar_pro,40,optical_illusion,5,20,0,9,0.45,0.0,-0.8181818181818182,yes; actually equal,False,False perplexity_sonar_pro,40,orthographic,1,20,10,6,0.3,0.5,0.2857142857142857,6,False,False perplexity_sonar_pro,40,orthographic,2,20,7,5,0.25,0.35,0.13333333333333333,9,False,False perplexity_sonar_pro,40,orthographic,3,20,2,5,0.25,0.1,-0.2,front,False,False perplexity_sonar_pro,40,orthographic,4,20,9,8,0.4,0.45,0.08333333333333333,not unique,False,False perplexity_sonar_pro,40,orthographic,5,20,4,20,1.0,0.2,,front and side,True,False perplexity_sonar_pro,40,overlap_circles,1,20,10,5,0.25,0.5,0.3333333333333333,10,False,False perplexity_sonar_pro,40,overlap_circles,2,20,11,11,0.55,0.55,0.0,no,False,False perplexity_sonar_pro,40,overlap_circles,3,20,2,3,0.15,0.1,-0.058823529411764705,1.8,False,False perplexity_sonar_pro,40,overlap_circles,4,20,9,6,0.3,0.45,0.21428571428571427,0,False,False perplexity_sonar_pro,40,overlap_circles,5,20,1,4,0.2,0.05,-0.1875,17,False,False perplexity_sonar_pro,40,physical_stability,1,20,20,7,0.35,1.0,1.0,5,False,False perplexity_sonar_pro,40,physical_stability,2,20,9,11,0.55,0.45,-0.2222222222222222,right,False,False perplexity_sonar_pro,40,physical_stability,3,20,13,10,0.5,0.65,0.3,D,False,False perplexity_sonar_pro,40,physical_stability,4,20,2,8,0.4,0.1,-0.5,stable,False,False perplexity_sonar_pro,40,physical_stability,5,20,0,4,0.2,0.0,-0.25,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False perplexity_sonar_pro,40,polyhedron,1,20,6,8,0.4,0.3,-0.16666666666666666,14,False,False perplexity_sonar_pro,40,polyhedron,2,20,14,19,0.95,0.7,-5.0,convex,False,False perplexity_sonar_pro,40,polyhedron,3,20,5,7,0.35,0.25,-0.15384615384615385,mixed,False,False perplexity_sonar_pro,40,polyhedron,4,20,15,6,0.3,0.75,0.6428571428571429,no,False,False perplexity_sonar_pro,40,polyhedron,5,20,20,20,1.0,1.0,,no,True,False perplexity_sonar_pro,40,projectile_motion,1,20,19,3,0.15,0.95,0.9411764705882353,68,False,False perplexity_sonar_pro,40,projectile_motion,2,20,18,11,0.55,0.9,0.7777777777777778,yes,False,False perplexity_sonar_pro,40,projectile_motion,3,20,0,1,0.05,0.0,-0.05263157894736842,13.4,False,False perplexity_sonar_pro,40,projectile_motion,4,20,0,1,0.05,0.0,-0.05263157894736842,"{'time_of_flight_s': 1.0, 'range_m': 18.4}",False,False perplexity_sonar_pro,40,projectile_motion,5,20,10,15,0.75,0.5,-1.0,increase,False,False perplexity_sonar_pro,40,rotation_matching,1,20,19,8,0.4,0.95,0.9166666666666666,7,False,False perplexity_sonar_pro,40,rotation_matching,2,20,5,6,0.3,0.25,-0.07142857142857142,B,False,False perplexity_sonar_pro,40,rotation_matching,3,20,2,4,0.2,0.1,-0.125,315,False,False perplexity_sonar_pro,40,rotation_matching,4,20,5,7,0.35,0.25,-0.15384615384615385,A,False,False perplexity_sonar_pro,40,rotation_matching,5,20,19,4,0.2,0.95,0.9375,225,False,False perplexity_sonar_pro,40,route,1,20,14,6,0.3,0.7,0.5714285714285714,6,False,False perplexity_sonar_pro,40,route,2,20,0,11,0.55,0.0,-1.2222222222222223,1,False,False perplexity_sonar_pro,40,route,3,20,1,5,0.25,0.05,-0.26666666666666666,4,False,False perplexity_sonar_pro,40,route,4,20,1,1,0.05,0.05,0.0,AC,False,False perplexity_sonar_pro,40,route,5,20,7,6,0.3,0.35,0.07142857142857142,4,False,False perplexity_sonar_pro,40,rpm,1,20,18,9,0.45,0.9,0.8181818181818182,1,False,False perplexity_sonar_pro,40,rpm,2,20,9,4,0.2,0.45,0.3125,1,False,False perplexity_sonar_pro,40,rpm,3,20,11,5,0.25,0.55,0.4,correct shape but wrong color,False,False perplexity_sonar_pro,40,rpm,4,20,3,5,0.25,0.15,-0.13333333333333333,8,False,False perplexity_sonar_pro,40,rpm,5,20,7,11,0.55,0.35,-0.4444444444444444,9,False,False perplexity_sonar_pro,40,shadow_inference,1,20,16,10,0.5,0.8,0.6,2,False,False perplexity_sonar_pro,40,shadow_inference,2,20,3,7,0.35,0.15,-0.3076923076923077,right,False,False perplexity_sonar_pro,40,shadow_inference,3,20,11,7,0.35,0.55,0.3076923076923077,low,False,False perplexity_sonar_pro,40,shadow_inference,4,20,1,8,0.4,0.05,-0.5833333333333334,same,False,False perplexity_sonar_pro,40,shadow_inference,5,20,9,11,0.55,0.45,-0.2222222222222222,same,False,False perplexity_sonar_pro,40,surface_topology,1,20,14,8,0.4,0.7,0.5,3,False,False perplexity_sonar_pro,40,surface_topology,2,20,17,18,0.9,0.85,-0.5,orientable,False,False perplexity_sonar_pro,40,surface_topology,3,20,6,7,0.35,0.3,-0.07692307692307693,0,False,False perplexity_sonar_pro,40,surface_topology,4,20,12,8,0.4,0.6,0.3333333333333333,-4; orientable,False,False perplexity_sonar_pro,40,surface_topology,5,20,7,8,0.4,0.35,-0.08333333333333333,-5,False,False perplexity_sonar_pro,40,symmetry_pattern,1,20,17,11,0.55,0.85,0.6666666666666666,8,False,False perplexity_sonar_pro,40,symmetry_pattern,2,20,16,11,0.55,0.8,0.5555555555555556,broken,False,False perplexity_sonar_pro,40,symmetry_pattern,3,20,11,6,0.3,0.55,0.35714285714285715,mirror,False,False perplexity_sonar_pro,40,symmetry_pattern,4,20,4,7,0.35,0.2,-0.23076923076923078,8,False,False perplexity_sonar_pro,40,symmetry_pattern,5,20,11,20,1.0,0.55,,yes,True,False