model,domain,level,n,correct_count,baseline_expected_correct,baseline,raw_accuracy,adjusted_score,modal_ground_truth,excluded_constant,small_n,family claude_opus_5,angle_estimation,1,50,49,18,0.36,0.98,0.96875,2,False,False,Plane Geometry claude_opus_5,angle_estimation,2,50,46,11,0.22,0.92,0.8974358974358975,Angle 2,False,False,Plane Geometry claude_opus_5,angle_estimation,3,50,48,12,0.24,0.96,0.9473684210526315,greater than,False,False,Plane Geometry claude_opus_5,angle_estimation,4,50,24,12,0.24,0.48,0.3157894736842105,180,False,False,Plane Geometry claude_opus_5,angle_estimation,5,50,23,14,0.28,0.46,0.25,"190,no",False,False,Plane Geometry claude_opus_5,clock_reading,1,50,43,8,0.16,0.86,0.8333333333333334,12,False,False,Physical & Mechanical claude_opus_5,clock_reading,2,50,49,26,0.52,0.98,0.9583333333333334,after,False,False,Physical & Mechanical claude_opus_5,clock_reading,3,50,27,2,0.04,0.54,0.5208333333333334,08:03,False,False,Physical & Mechanical claude_opus_5,clock_reading,4,50,17,2,0.04,0.34,0.3125,114,False,False,Physical & Mechanical claude_opus_5,clock_reading,5,50,25,2,0.04,0.5,0.4791666666666667,124,False,False,Physical & Mechanical claude_opus_5,combination,1,50,44,14,0.28,0.88,0.8333333333333334,9,False,False,Transformational claude_opus_5,combination,2,50,25,17,0.34,0.5,0.24242424242424243,C,False,False,Transformational claude_opus_5,combination,3,50,41,19,0.38,0.82,0.7096774193548387,yes,False,False,Transformational claude_opus_5,combination,4,50,23,18,0.36,0.46,0.15625,B,False,False,Transformational claude_opus_5,combination,5,50,49,38,0.76,0.98,0.9166666666666666,connected,False,False,Transformational claude_opus_5,combination3d,1,50,2,11,0.22,0.04,-0.23076923076923078,12,False,False,Solid Geometry claude_opus_5,combination3d,2,50,27,16,0.32,0.54,0.3235294117647059,B,False,False,Solid Geometry claude_opus_5,combination3d,3,50,37,22,0.44,0.74,0.5357142857142857,yes,False,False,Solid Geometry claude_opus_5,combination3d,4,50,9,11,0.22,0.18,-0.05128205128205128,D,False,False,Solid Geometry claude_opus_5,combination3d,5,50,22,21,0.42,0.44,0.034482758620689655,"same shape, different angle",False,False,Solid Geometry claude_opus_5,compass_bearing,1,50,50,29,0.58,1.0,1.0,3,False,False,Analytic claude_opus_5,compass_bearing,2,50,50,24,0.48,1.0,1.0,south,False,False,Analytic claude_opus_5,compass_bearing,3,50,47,5,0.1,0.94,0.9333333333333333,270,False,False,Analytic claude_opus_5,compass_bearing,4,50,11,2,0.04,0.22,0.1875,30 degrees counterclockwise,False,False,Analytic claude_opus_5,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic claude_opus_5,coordinate_geometry,1,50,48,3,0.06,0.96,0.9574468085106383,"(-6, -8)",False,False,Analytic claude_opus_5,coordinate_geometry,2,50,49,5,0.1,0.98,0.9777777777777777,4.47,False,False,Analytic claude_opus_5,coordinate_geometry,3,50,42,20,0.4,0.84,0.7333333333333333,A and B,False,False,Analytic claude_opus_5,coordinate_geometry,4,50,50,12,0.24,1.0,1.0,less than,False,False,Analytic claude_opus_5,coordinate_geometry,5,50,46,5,0.1,0.92,0.9111111111111111,3.00,False,False,Analytic claude_opus_5,cube_net,1,50,50,50,1.0,1.0,,6,True,False,Solid Geometry claude_opus_5,cube_net,2,50,50,20,0.4,1.0,1.0,E,False,False,Solid Geometry claude_opus_5,cube_net,3,50,50,10,0.2,1.0,1.0,1,False,False,Solid Geometry claude_opus_5,cube_net,4,50,50,27,0.54,1.0,1.0,adjacent,False,False,Solid Geometry claude_opus_5,cube_net,5,50,50,43,0.86,1.0,1.0,no,False,False,Solid Geometry claude_opus_5,cube_structure,1,50,5,9,0.18,0.1,-0.0975609756097561,12,False,False,Solid Geometry claude_opus_5,cube_structure,2,50,4,12,0.24,0.08,-0.21052631578947367,10,False,False,Solid Geometry claude_opus_5,cube_structure,3,50,37,29,0.58,0.74,0.38095238095238093,1,False,False,Solid Geometry claude_opus_5,cube_structure,4,50,21,20,0.4,0.42,0.03333333333333333,1,False,False,Solid Geometry claude_opus_5,cube_structure,5,50,16,17,0.34,0.32,-0.030303030303030304,1,False,False,Solid Geometry claude_opus_5,depth_height,1,50,50,20,0.4,1.0,1.0,3,False,False,Solid Geometry claude_opus_5,depth_height,2,50,11,14,0.28,0.22,-0.08333333333333333,orange,False,False,Solid Geometry claude_opus_5,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry claude_opus_5,depth_height,4,50,16,3,0.06,0.32,0.2765957446808511,0.65,False,False,Solid Geometry claude_opus_5,depth_height,5,50,39,16,0.32,0.78,0.6764705882352942,smaller,False,False,Solid Geometry claude_opus_5,embedded_figures,1,50,4,14,0.28,0.08,-0.2777777777777778,14,False,False,Transformational claude_opus_5,embedded_figures,2,50,42,18,0.36,0.84,0.75,6,False,False,Transformational claude_opus_5,embedded_figures,3,50,24,20,0.4,0.48,0.13333333333333333,D,False,False,Transformational claude_opus_5,embedded_figures,4,50,15,14,0.28,0.3,0.027777777777777776,8,False,False,Transformational claude_opus_5,embedded_figures,5,50,28,28,0.56,0.56,0.0,open,False,False,Transformational claude_opus_5,fbd,1,50,49,17,0.34,0.98,0.9696969696969697,4,False,False,Physical & Mechanical claude_opus_5,fbd,2,50,39,12,0.24,0.78,0.7105263157894737,W,False,False,Physical & Mechanical claude_opus_5,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical claude_opus_5,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical claude_opus_5,fbd,5,50,8,20,0.4,0.16,-0.4,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical claude_opus_5,fold_punch,1,50,50,28,0.56,1.0,1.0,3,False,False,Transformational claude_opus_5,fold_punch,2,50,50,32,0.64,1.0,1.0,8,False,False,Transformational claude_opus_5,fold_punch,3,50,24,13,0.26,0.48,0.2972972972972973,A,False,False,Transformational claude_opus_5,fold_punch,4,50,34,16,0.32,0.68,0.5294117647058824,A,False,False,Transformational claude_opus_5,fold_punch,5,50,50,24,0.48,1.0,1.0,16,False,False,Transformational claude_opus_5,gauge_reading,1,50,45,35,0.7,0.9,0.6666666666666666,0,False,False,Physical & Mechanical claude_opus_5,gauge_reading,2,50,50,25,0.5,1.0,1.0,lower half,False,False,Physical & Mechanical claude_opus_5,gauge_reading,3,50,45,5,0.1,0.9,0.8888888888888888,100,False,False,Physical & Mechanical claude_opus_5,gauge_reading,4,50,7,34,0.68,0.14,-1.6875,no danger zone marked,False,False,Physical & Mechanical claude_opus_5,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical claude_opus_5,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical claude_opus_5,gear_train,2,50,1,50,1.0,0.02,,opposite,True,False,Physical & Mechanical claude_opus_5,gear_train,3,50,48,15,0.3,0.96,0.9428571428571428,C,False,False,Physical & Mechanical claude_opus_5,gear_train,4,50,41,2,0.04,0.82,0.8125,26.2,False,False,Physical & Mechanical claude_opus_5,gear_train,5,50,38,19,0.38,0.76,0.6129032258064516,decrease; direction unchanged,False,False,Physical & Mechanical claude_opus_5,hex_pathfinding,1,50,26,8,0.16,0.52,0.42857142857142855,7,False,False,Topological claude_opus_5,hex_pathfinding,2,50,38,25,0.5,0.76,0.52,hole,False,False,Topological claude_opus_5,hex_pathfinding,3,50,31,11,0.22,0.62,0.5128205128205128,6,False,False,Topological claude_opus_5,hex_pathfinding,4,50,9,13,0.26,0.18,-0.10810810810810811,unique,False,False,Topological claude_opus_5,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological claude_opus_5,impossible_object,1,50,39,27,0.54,0.78,0.5217391304347826,5,False,False,Optical claude_opus_5,impossible_object,2,50,19,31,0.62,0.38,-0.631578947368421,yes,False,False,Optical claude_opus_5,impossible_object,3,50,18,12,0.24,0.36,0.15789473684210525,D,False,False,Optical claude_opus_5,impossible_object,4,50,13,16,0.32,0.26,-0.08823529411764706,8,False,False,Optical claude_opus_5,impossible_object,5,50,5,34,0.68,0.1,-1.8125,already constructible,False,False,Optical claude_opus_5,laser_mirror,1,50,50,18,0.36,1.0,1.0,3,False,False,Physical & Mechanical claude_opus_5,laser_mirror,2,50,50,38,0.76,1.0,1.0,yes,False,False,Physical & Mechanical claude_opus_5,laser_mirror,3,50,50,24,0.48,1.0,1.0,1,False,False,Physical & Mechanical claude_opus_5,laser_mirror,4,50,0,5,0.1,0.0,-0.1111111111111111,"left, position 2",False,False,Physical & Mechanical claude_opus_5,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical claude_opus_5,line_intersection,1,50,43,17,0.34,0.86,0.7878787878787878,2,False,False,Plane Geometry claude_opus_5,line_intersection,2,50,49,15,0.3,0.98,0.9714285714285714,0,False,False,Plane Geometry claude_opus_5,line_intersection,3,50,50,15,0.3,1.0,1.0,blue,False,False,Plane Geometry claude_opus_5,line_intersection,4,50,50,12,0.24,1.0,1.0,even,False,False,Plane Geometry claude_opus_5,line_intersection,5,50,45,23,0.46,0.9,0.8148148148148148,0,False,False,Plane Geometry claude_opus_5,nested_hexagons,1,50,35,8,0.16,0.7,0.6428571428571429,4,False,False,Plane Geometry claude_opus_5,nested_hexagons,2,50,30,26,0.52,0.6,0.16666666666666666,constant,False,False,Plane Geometry claude_opus_5,nested_hexagons,3,50,2,4,0.08,0.04,-0.043478260869565216,6.6,False,False,Plane Geometry claude_opus_5,nested_hexagons,4,50,2,6,0.12,0.04,-0.09090909090909091,0,False,False,Plane Geometry claude_opus_5,nested_hexagons,5,50,45,30,0.6,0.9,0.75,no,False,False,Plane Geometry claude_opus_5,nested_squares,1,50,32,11,0.22,0.64,0.5384615384615384,9,False,False,Plane Geometry claude_opus_5,nested_squares,2,50,33,26,0.52,0.66,0.2916666666666667,constant,False,False,Plane Geometry claude_opus_5,nested_squares,3,50,3,3,0.06,0.06,0.0,4.9,False,False,Plane Geometry claude_opus_5,nested_squares,4,50,1,7,0.14,0.02,-0.13953488372093023,0,False,False,Plane Geometry claude_opus_5,nested_squares,5,50,44,26,0.52,0.88,0.75,yes,False,False,Plane Geometry claude_opus_5,nested_triangles,1,50,37,9,0.18,0.74,0.6829268292682927,4,False,False,Plane Geometry claude_opus_5,nested_triangles,2,50,33,31,0.62,0.66,0.10526315789473684,constant,False,False,Plane Geometry claude_opus_5,nested_triangles,3,50,3,5,0.1,0.06,-0.044444444444444446,4.9,False,False,Plane Geometry claude_opus_5,nested_triangles,4,50,1,3,0.06,0.02,-0.0425531914893617,0,False,False,Plane Geometry claude_opus_5,nested_triangles,5,50,48,28,0.56,0.96,0.9090909090909091,yes,False,False,Plane Geometry claude_opus_5,occluded_pattern,1,50,50,10,0.2,1.0,1.0,8,False,False,Projective claude_opus_5,occluded_pattern,2,50,37,9,0.18,0.74,0.6829268292682927,10,False,False,Projective claude_opus_5,occluded_pattern,3,50,35,17,0.34,0.7,0.5454545454545454,grid,False,False,Projective claude_opus_5,occluded_pattern,4,50,30,18,0.36,0.6,0.375,2,False,False,Projective claude_opus_5,occluded_pattern,5,50,32,10,0.2,0.64,0.55,11,False,False,Projective claude_opus_5,optical_illusion,1,50,50,50,1.0,1.0,,2,True,False,Optical claude_opus_5,optical_illusion,2,50,50,29,0.58,1.0,1.0,B,False,False,Optical claude_opus_5,optical_illusion,3,50,34,23,0.46,0.68,0.4074074074074074,equal,False,False,Optical claude_opus_5,optical_illusion,4,50,20,23,0.46,0.4,-0.1111111111111111,0,False,False,Optical claude_opus_5,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical claude_opus_5,orthographic,1,50,43,14,0.28,0.86,0.8055555555555556,5,False,False,Solid Geometry claude_opus_5,orthographic,2,50,39,9,0.18,0.78,0.7317073170731707,10,False,False,Solid Geometry claude_opus_5,orthographic,3,50,40,19,0.38,0.8,0.6774193548387096,top,False,False,Solid Geometry claude_opus_5,orthographic,4,50,34,21,0.42,0.68,0.4482758620689655,unique,False,False,Solid Geometry claude_opus_5,orthographic,5,50,18,50,1.0,0.36,,front and side,True,False,Solid Geometry claude_opus_5,overlap_circles,1,50,29,8,0.16,0.58,0.5,10,False,False,Transformational claude_opus_5,overlap_circles,2,50,31,24,0.48,0.62,0.2692307692307692,no,False,False,Transformational claude_opus_5,overlap_circles,3,50,23,10,0.2,0.46,0.325,4,False,False,Transformational claude_opus_5,overlap_circles,4,50,32,12,0.24,0.64,0.5263157894736842,0,False,False,Transformational claude_opus_5,overlap_circles,5,50,10,7,0.14,0.2,0.06976744186046512,3,False,False,Transformational claude_opus_5,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical claude_opus_5,physical_stability,2,50,48,33,0.66,0.96,0.8823529411764706,right,False,False,Physical & Mechanical claude_opus_5,physical_stability,3,50,50,21,0.42,1.0,1.0,D,False,False,Physical & Mechanical claude_opus_5,physical_stability,4,50,17,17,0.34,0.34,0.0,stable,False,False,Physical & Mechanical claude_opus_5,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical claude_opus_5,polyhedron,1,50,28,12,0.24,0.56,0.42105263157894735,12,False,False,Solid Geometry claude_opus_5,polyhedron,2,50,41,45,0.9,0.82,-0.8,convex,False,False,Solid Geometry claude_opus_5,polyhedron,3,50,22,13,0.26,0.44,0.24324324324324326,mixed,False,False,Solid Geometry claude_opus_5,polyhedron,4,50,44,19,0.38,0.88,0.8064516129032258,no,False,False,Solid Geometry claude_opus_5,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry claude_opus_5,projectile_motion,1,50,50,3,0.06,1.0,1.0,24,False,False,Physical & Mechanical claude_opus_5,projectile_motion,2,50,50,28,0.56,1.0,1.0,no,False,False,Physical & Mechanical claude_opus_5,projectile_motion,3,50,35,2,0.04,0.7,0.6875,30.7,False,False,Physical & Mechanical claude_opus_5,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical claude_opus_5,projectile_motion,5,50,42,41,0.82,0.84,0.1111111111111111,increase,False,False,Physical & Mechanical claude_opus_5,rotation_matching,1,50,43,16,0.32,0.86,0.7941176470588235,7,False,False,Transformational claude_opus_5,rotation_matching,2,50,18,14,0.28,0.36,0.1111111111111111,C,False,False,Transformational claude_opus_5,rotation_matching,3,50,7,11,0.22,0.14,-0.10256410256410256,90,False,False,Transformational claude_opus_5,rotation_matching,4,50,12,20,0.4,0.24,-0.26666666666666666,A,False,False,Transformational claude_opus_5,rotation_matching,5,50,50,11,0.22,1.0,1.0,315,False,False,Transformational claude_opus_5,route,1,50,36,15,0.3,0.72,0.6,6,False,False,Topological claude_opus_5,route,2,50,15,29,0.58,0.3,-0.6666666666666666,1,False,False,Topological claude_opus_5,route,3,50,15,6,0.12,0.3,0.20454545454545456,2,False,False,Topological claude_opus_5,route,4,50,1,3,0.06,0.02,-0.0425531914893617,BE,False,False,Topological claude_opus_5,route,5,50,12,12,0.24,0.24,0.0,4,False,False,Topological claude_opus_5,rpm,1,50,50,22,0.44,1.0,1.0,1,False,False,Inductive claude_opus_5,rpm,2,50,43,9,0.18,0.86,0.8292682926829268,2,False,False,Inductive claude_opus_5,rpm,3,50,38,15,0.3,0.76,0.6571428571428571,wrong in some other way,False,False,Inductive claude_opus_5,rpm,4,50,30,13,0.26,0.6,0.4594594594594595,8,False,False,Inductive claude_opus_5,rpm,5,50,47,31,0.62,0.94,0.8421052631578947,9,False,False,Inductive claude_opus_5,shadow_inference,1,50,48,23,0.46,0.96,0.9259259259259259,2,False,False,Projective claude_opus_5,shadow_inference,2,50,39,20,0.4,0.78,0.6333333333333333,left,False,False,Projective claude_opus_5,shadow_inference,3,50,31,14,0.28,0.62,0.4722222222222222,high,False,False,Projective claude_opus_5,shadow_inference,4,50,15,21,0.42,0.3,-0.20689655172413793,same,False,False,Projective claude_opus_5,shadow_inference,5,50,18,32,0.64,0.36,-0.7777777777777778,same,False,False,Projective claude_opus_5,surface_topology,1,50,35,14,0.28,0.7,0.5833333333333334,2,False,False,Topological claude_opus_5,surface_topology,2,50,47,39,0.78,0.94,0.7272727272727273,orientable,False,False,Topological claude_opus_5,surface_topology,3,50,27,18,0.36,0.54,0.28125,0,False,False,Topological claude_opus_5,surface_topology,4,50,37,14,0.28,0.74,0.6388888888888888,-2; orientable,False,False,Topological claude_opus_5,surface_topology,5,50,30,20,0.4,0.6,0.3333333333333333,-1,False,False,Topological claude_opus_5,symmetry_pattern,1,50,50,25,0.5,1.0,1.0,6,False,False,Transformational claude_opus_5,symmetry_pattern,2,50,40,27,0.54,0.8,0.5652173913043478,symmetric,False,False,Transformational claude_opus_5,symmetry_pattern,3,50,35,14,0.28,0.7,0.5833333333333334,rotational,False,False,Transformational claude_opus_5,symmetry_pattern,4,50,19,17,0.34,0.38,0.06060606060606061,8,False,False,Transformational claude_opus_5,symmetry_pattern,5,50,48,50,1.0,0.96,,yes,True,False,Transformational claude_sonnet_5,angle_estimation,1,50,47,18,0.36,0.94,0.90625,2,False,False,Plane Geometry claude_sonnet_5,angle_estimation,2,50,39,11,0.22,0.78,0.717948717948718,Angle 2,False,False,Plane Geometry claude_sonnet_5,angle_estimation,3,50,36,12,0.24,0.72,0.631578947368421,greater than,False,False,Plane Geometry claude_sonnet_5,angle_estimation,4,50,22,12,0.24,0.44,0.2631578947368421,180,False,False,Plane Geometry claude_sonnet_5,angle_estimation,5,50,23,14,0.28,0.46,0.25,"190,no",False,False,Plane Geometry claude_sonnet_5,clock_reading,1,50,22,8,0.16,0.44,0.3333333333333333,12,False,False,Physical & Mechanical claude_sonnet_5,clock_reading,2,50,38,26,0.52,0.76,0.5,after,False,False,Physical & Mechanical claude_sonnet_5,clock_reading,3,50,5,2,0.04,0.1,0.0625,08:03,False,False,Physical & Mechanical claude_sonnet_5,clock_reading,4,50,5,2,0.04,0.1,0.0625,114,False,False,Physical & Mechanical claude_sonnet_5,clock_reading,5,50,6,2,0.04,0.12,0.08333333333333333,124,False,False,Physical & Mechanical claude_sonnet_5,combination,1,50,24,14,0.28,0.48,0.2777777777777778,9,False,False,Transformational claude_sonnet_5,combination,2,50,20,17,0.34,0.4,0.09090909090909091,C,False,False,Transformational claude_sonnet_5,combination,3,50,34,19,0.38,0.68,0.4838709677419355,yes,False,False,Transformational claude_sonnet_5,combination,4,50,14,18,0.36,0.28,-0.125,B,False,False,Transformational claude_sonnet_5,combination,5,50,48,38,0.76,0.96,0.8333333333333334,connected,False,False,Transformational claude_sonnet_5,combination3d,1,50,0,11,0.22,0.0,-0.28205128205128205,12,False,False,Solid Geometry claude_sonnet_5,combination3d,2,50,29,16,0.32,0.58,0.38235294117647056,B,False,False,Solid Geometry claude_sonnet_5,combination3d,3,50,41,22,0.44,0.82,0.6785714285714286,yes,False,False,Solid Geometry claude_sonnet_5,combination3d,4,50,5,11,0.22,0.1,-0.15384615384615385,D,False,False,Solid Geometry claude_sonnet_5,combination3d,5,50,21,21,0.42,0.42,0.0,"same shape, different angle",False,False,Solid Geometry claude_sonnet_5,compass_bearing,1,50,50,29,0.58,1.0,1.0,3,False,False,Analytic claude_sonnet_5,compass_bearing,2,50,50,24,0.48,1.0,1.0,south,False,False,Analytic claude_sonnet_5,compass_bearing,3,50,35,5,0.1,0.7,0.6666666666666666,270,False,False,Analytic claude_sonnet_5,compass_bearing,4,50,11,2,0.04,0.22,0.1875,30 degrees counterclockwise,False,False,Analytic claude_sonnet_5,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic claude_sonnet_5,coordinate_geometry,1,50,39,3,0.06,0.78,0.7659574468085106,"(-6, -8)",False,False,Analytic claude_sonnet_5,coordinate_geometry,2,50,30,5,0.1,0.6,0.5555555555555556,4.47,False,False,Analytic claude_sonnet_5,coordinate_geometry,3,50,5,20,0.4,0.1,-0.5,A and B,False,False,Analytic claude_sonnet_5,coordinate_geometry,4,50,42,12,0.24,0.84,0.7894736842105263,less than,False,False,Analytic claude_sonnet_5,coordinate_geometry,5,50,31,5,0.1,0.62,0.5777777777777777,3.00,False,False,Analytic claude_sonnet_5,cube_net,1,50,50,50,1.0,1.0,,6,True,False,Solid Geometry claude_sonnet_5,cube_net,2,50,50,20,0.4,1.0,1.0,E,False,False,Solid Geometry claude_sonnet_5,cube_net,3,50,42,10,0.2,0.84,0.8,1,False,False,Solid Geometry claude_sonnet_5,cube_net,4,50,45,27,0.54,0.9,0.782608695652174,adjacent,False,False,Solid Geometry claude_sonnet_5,cube_net,5,50,43,43,0.86,0.86,0.0,no,False,False,Solid Geometry claude_sonnet_5,cube_structure,1,50,6,9,0.18,0.12,-0.07317073170731707,12,False,False,Solid Geometry claude_sonnet_5,cube_structure,2,50,5,12,0.24,0.1,-0.18421052631578946,10,False,False,Solid Geometry claude_sonnet_5,cube_structure,3,50,40,29,0.58,0.8,0.5238095238095238,1,False,False,Solid Geometry claude_sonnet_5,cube_structure,4,50,15,20,0.4,0.3,-0.16666666666666666,1,False,False,Solid Geometry claude_sonnet_5,cube_structure,5,50,11,17,0.34,0.22,-0.18181818181818182,1,False,False,Solid Geometry claude_sonnet_5,depth_height,1,50,50,20,0.4,1.0,1.0,3,False,False,Solid Geometry claude_sonnet_5,depth_height,2,50,21,14,0.28,0.42,0.19444444444444445,orange,False,False,Solid Geometry claude_sonnet_5,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry claude_sonnet_5,depth_height,4,50,14,3,0.06,0.28,0.23404255319148937,0.65,False,False,Solid Geometry claude_sonnet_5,depth_height,5,50,32,16,0.32,0.64,0.47058823529411764,smaller,False,False,Solid Geometry claude_sonnet_5,embedded_figures,1,50,2,14,0.28,0.04,-0.3333333333333333,14,False,False,Transformational claude_sonnet_5,embedded_figures,2,50,42,18,0.36,0.84,0.75,6,False,False,Transformational claude_sonnet_5,embedded_figures,3,50,27,20,0.4,0.54,0.23333333333333334,D,False,False,Transformational claude_sonnet_5,embedded_figures,4,50,8,14,0.28,0.16,-0.16666666666666666,8,False,False,Transformational claude_sonnet_5,embedded_figures,5,50,28,28,0.56,0.56,0.0,open,False,False,Transformational claude_sonnet_5,fbd,1,50,50,17,0.34,1.0,1.0,4,False,False,Physical & Mechanical claude_sonnet_5,fbd,2,50,39,12,0.24,0.78,0.7105263157894737,W,False,False,Physical & Mechanical claude_sonnet_5,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical claude_sonnet_5,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical claude_sonnet_5,fbd,5,50,8,20,0.4,0.16,-0.4,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical claude_sonnet_5,fold_punch,1,50,50,28,0.56,1.0,1.0,3,False,False,Transformational claude_sonnet_5,fold_punch,2,50,48,32,0.64,0.96,0.8888888888888888,8,False,False,Transformational claude_sonnet_5,fold_punch,3,50,20,13,0.26,0.4,0.1891891891891892,A,False,False,Transformational claude_sonnet_5,fold_punch,4,50,15,16,0.32,0.3,-0.029411764705882353,A,False,False,Transformational claude_sonnet_5,fold_punch,5,50,17,24,0.48,0.34,-0.2692307692307692,16,False,False,Transformational claude_sonnet_5,gauge_reading,1,50,50,35,0.7,1.0,1.0,0,False,False,Physical & Mechanical claude_sonnet_5,gauge_reading,2,50,49,25,0.5,0.98,0.96,lower half,False,False,Physical & Mechanical claude_sonnet_5,gauge_reading,3,50,37,5,0.1,0.74,0.7111111111111111,100,False,False,Physical & Mechanical claude_sonnet_5,gauge_reading,4,50,1,34,0.68,0.02,-2.0625,no danger zone marked,False,False,Physical & Mechanical claude_sonnet_5,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical claude_sonnet_5,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical claude_sonnet_5,gear_train,2,50,0,50,1.0,0.0,,opposite,True,False,Physical & Mechanical claude_sonnet_5,gear_train,3,50,48,15,0.3,0.96,0.9428571428571428,C,False,False,Physical & Mechanical claude_sonnet_5,gear_train,4,50,42,2,0.04,0.84,0.8333333333333334,26.2,False,False,Physical & Mechanical claude_sonnet_5,gear_train,5,50,19,19,0.38,0.38,0.0,decrease; direction unchanged,False,False,Physical & Mechanical claude_sonnet_5,hex_pathfinding,1,50,12,8,0.16,0.24,0.09523809523809523,7,False,False,Topological claude_sonnet_5,hex_pathfinding,2,50,30,25,0.5,0.6,0.2,hole,False,False,Topological claude_sonnet_5,hex_pathfinding,3,50,11,11,0.22,0.22,0.0,6,False,False,Topological claude_sonnet_5,hex_pathfinding,4,50,0,13,0.26,0.0,-0.35135135135135137,unique,False,False,Topological claude_sonnet_5,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological claude_sonnet_5,impossible_object,1,50,46,27,0.54,0.92,0.8260869565217391,5,False,False,Optical claude_sonnet_5,impossible_object,2,50,23,31,0.62,0.46,-0.42105263157894735,yes,False,False,Optical claude_sonnet_5,impossible_object,3,50,14,12,0.24,0.28,0.05263157894736842,D,False,False,Optical claude_sonnet_5,impossible_object,4,50,10,16,0.32,0.2,-0.17647058823529413,8,False,False,Optical claude_sonnet_5,impossible_object,5,50,13,34,0.68,0.26,-1.3125,already constructible,False,False,Optical claude_sonnet_5,laser_mirror,1,50,48,18,0.36,0.96,0.9375,3,False,False,Physical & Mechanical claude_sonnet_5,laser_mirror,2,50,49,38,0.76,0.98,0.9166666666666666,yes,False,False,Physical & Mechanical claude_sonnet_5,laser_mirror,3,50,45,24,0.48,0.9,0.8076923076923077,1,False,False,Physical & Mechanical claude_sonnet_5,laser_mirror,4,50,0,5,0.1,0.0,-0.1111111111111111,"left, position 2",False,False,Physical & Mechanical claude_sonnet_5,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical claude_sonnet_5,line_intersection,1,50,26,17,0.34,0.52,0.2727272727272727,2,False,False,Plane Geometry claude_sonnet_5,line_intersection,2,50,34,15,0.3,0.68,0.5428571428571428,0,False,False,Plane Geometry claude_sonnet_5,line_intersection,3,50,47,15,0.3,0.94,0.9142857142857143,blue,False,False,Plane Geometry claude_sonnet_5,line_intersection,4,50,33,12,0.24,0.66,0.5526315789473685,even,False,False,Plane Geometry claude_sonnet_5,line_intersection,5,50,32,23,0.46,0.64,0.3333333333333333,0,False,False,Plane Geometry claude_sonnet_5,nested_hexagons,1,50,16,8,0.16,0.32,0.19047619047619047,4,False,False,Plane Geometry claude_sonnet_5,nested_hexagons,2,50,25,26,0.52,0.5,-0.041666666666666664,constant,False,False,Plane Geometry claude_sonnet_5,nested_hexagons,3,50,1,4,0.08,0.02,-0.06521739130434782,6.6,False,False,Plane Geometry claude_sonnet_5,nested_hexagons,4,50,2,6,0.12,0.04,-0.09090909090909091,0,False,False,Plane Geometry claude_sonnet_5,nested_hexagons,5,50,29,30,0.6,0.58,-0.05,no,False,False,Plane Geometry claude_sonnet_5,nested_squares,1,50,11,11,0.22,0.22,0.0,9,False,False,Plane Geometry claude_sonnet_5,nested_squares,2,50,25,26,0.52,0.5,-0.041666666666666664,constant,False,False,Plane Geometry claude_sonnet_5,nested_squares,3,50,0,3,0.06,0.0,-0.06382978723404255,4.9,False,False,Plane Geometry claude_sonnet_5,nested_squares,4,50,3,7,0.14,0.06,-0.09302325581395349,0,False,False,Plane Geometry claude_sonnet_5,nested_squares,5,50,24,26,0.52,0.48,-0.08333333333333333,yes,False,False,Plane Geometry claude_sonnet_5,nested_triangles,1,50,20,9,0.18,0.4,0.2682926829268293,4,False,False,Plane Geometry claude_sonnet_5,nested_triangles,2,50,31,31,0.62,0.62,0.0,constant,False,False,Plane Geometry claude_sonnet_5,nested_triangles,3,50,0,5,0.1,0.0,-0.1111111111111111,4.9,False,False,Plane Geometry claude_sonnet_5,nested_triangles,4,50,2,3,0.06,0.04,-0.02127659574468085,0,False,False,Plane Geometry claude_sonnet_5,nested_triangles,5,50,22,28,0.56,0.44,-0.2727272727272727,yes,False,False,Plane Geometry claude_sonnet_5,occluded_pattern,1,50,33,10,0.2,0.66,0.575,8,False,False,Projective claude_sonnet_5,occluded_pattern,2,50,24,9,0.18,0.48,0.36585365853658536,10,False,False,Projective claude_sonnet_5,occluded_pattern,3,50,27,17,0.34,0.54,0.30303030303030304,grid,False,False,Projective claude_sonnet_5,occluded_pattern,4,50,12,18,0.36,0.24,-0.1875,2,False,False,Projective claude_sonnet_5,occluded_pattern,5,50,7,10,0.2,0.14,-0.075,11,False,False,Projective claude_sonnet_5,optical_illusion,1,50,50,50,1.0,1.0,,2,True,False,Optical claude_sonnet_5,optical_illusion,2,50,40,29,0.58,0.8,0.5238095238095238,B,False,False,Optical claude_sonnet_5,optical_illusion,3,50,27,23,0.46,0.54,0.14814814814814814,equal,False,False,Optical claude_sonnet_5,optical_illusion,4,50,23,23,0.46,0.46,0.0,0,False,False,Optical claude_sonnet_5,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical claude_sonnet_5,orthographic,1,50,28,14,0.28,0.56,0.3888888888888889,5,False,False,Solid Geometry claude_sonnet_5,orthographic,2,50,12,9,0.18,0.24,0.07317073170731707,10,False,False,Solid Geometry claude_sonnet_5,orthographic,3,50,35,19,0.38,0.7,0.5161290322580645,top,False,False,Solid Geometry claude_sonnet_5,orthographic,4,50,24,21,0.42,0.48,0.10344827586206896,unique,False,False,Solid Geometry claude_sonnet_5,orthographic,5,50,0,50,1.0,0.0,,front and side,True,False,Solid Geometry claude_sonnet_5,overlap_circles,1,50,8,8,0.16,0.16,0.0,10,False,False,Transformational claude_sonnet_5,overlap_circles,2,50,27,24,0.48,0.54,0.11538461538461539,no,False,False,Transformational claude_sonnet_5,overlap_circles,3,50,16,10,0.2,0.32,0.15,4,False,False,Transformational claude_sonnet_5,overlap_circles,4,50,21,12,0.24,0.42,0.23684210526315788,0,False,False,Transformational claude_sonnet_5,overlap_circles,5,50,2,7,0.14,0.04,-0.11627906976744186,3,False,False,Transformational claude_sonnet_5,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical claude_sonnet_5,physical_stability,2,50,38,33,0.66,0.76,0.29411764705882354,right,False,False,Physical & Mechanical claude_sonnet_5,physical_stability,3,50,49,21,0.42,0.98,0.9655172413793104,D,False,False,Physical & Mechanical claude_sonnet_5,physical_stability,4,50,17,17,0.34,0.34,0.0,stable,False,False,Physical & Mechanical claude_sonnet_5,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical claude_sonnet_5,polyhedron,1,50,19,12,0.24,0.38,0.18421052631578946,12,False,False,Solid Geometry claude_sonnet_5,polyhedron,2,50,44,45,0.9,0.88,-0.2,convex,False,False,Solid Geometry claude_sonnet_5,polyhedron,3,50,16,13,0.26,0.32,0.08108108108108109,mixed,False,False,Solid Geometry claude_sonnet_5,polyhedron,4,50,28,19,0.38,0.56,0.2903225806451613,no,False,False,Solid Geometry claude_sonnet_5,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry claude_sonnet_5,projectile_motion,1,50,50,3,0.06,1.0,1.0,24,False,False,Physical & Mechanical claude_sonnet_5,projectile_motion,2,50,50,28,0.56,1.0,1.0,no,False,False,Physical & Mechanical claude_sonnet_5,projectile_motion,3,50,44,2,0.04,0.88,0.875,30.7,False,False,Physical & Mechanical claude_sonnet_5,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical claude_sonnet_5,projectile_motion,5,50,42,41,0.82,0.84,0.1111111111111111,increase,False,False,Physical & Mechanical claude_sonnet_5,rotation_matching,1,50,20,16,0.32,0.4,0.11764705882352941,7,False,False,Transformational claude_sonnet_5,rotation_matching,2,50,15,14,0.28,0.3,0.027777777777777776,C,False,False,Transformational claude_sonnet_5,rotation_matching,3,50,8,11,0.22,0.16,-0.07692307692307693,90,False,False,Transformational claude_sonnet_5,rotation_matching,4,50,8,20,0.4,0.16,-0.4,A,False,False,Transformational claude_sonnet_5,rotation_matching,5,50,50,11,0.22,1.0,1.0,315,False,False,Transformational claude_sonnet_5,route,1,50,34,15,0.3,0.68,0.5428571428571428,6,False,False,Topological claude_sonnet_5,route,2,50,20,29,0.58,0.4,-0.42857142857142855,1,False,False,Topological claude_sonnet_5,route,3,50,15,6,0.12,0.3,0.20454545454545456,2,False,False,Topological claude_sonnet_5,route,4,50,1,3,0.06,0.02,-0.0425531914893617,BE,False,False,Topological claude_sonnet_5,route,5,50,2,12,0.24,0.04,-0.2631578947368421,4,False,False,Topological claude_sonnet_5,rpm,1,50,50,22,0.44,1.0,1.0,1,False,False,Inductive claude_sonnet_5,rpm,2,50,39,9,0.18,0.78,0.7317073170731707,2,False,False,Inductive claude_sonnet_5,rpm,3,50,37,15,0.3,0.74,0.6285714285714286,wrong in some other way,False,False,Inductive claude_sonnet_5,rpm,4,50,26,13,0.26,0.52,0.35135135135135137,8,False,False,Inductive claude_sonnet_5,rpm,5,50,14,31,0.62,0.28,-0.8947368421052632,9,False,False,Inductive claude_sonnet_5,shadow_inference,1,50,48,23,0.46,0.96,0.9259259259259259,2,False,False,Projective claude_sonnet_5,shadow_inference,2,50,30,20,0.4,0.6,0.3333333333333333,left,False,False,Projective claude_sonnet_5,shadow_inference,3,50,27,14,0.28,0.54,0.3611111111111111,high,False,False,Projective claude_sonnet_5,shadow_inference,4,50,12,21,0.42,0.24,-0.3103448275862069,same,False,False,Projective claude_sonnet_5,shadow_inference,5,50,18,32,0.64,0.36,-0.7777777777777778,same,False,False,Projective claude_sonnet_5,surface_topology,1,50,35,14,0.28,0.7,0.5833333333333334,2,False,False,Topological claude_sonnet_5,surface_topology,2,50,46,39,0.78,0.92,0.6363636363636364,orientable,False,False,Topological claude_sonnet_5,surface_topology,3,50,25,18,0.36,0.5,0.21875,0,False,False,Topological claude_sonnet_5,surface_topology,4,50,34,14,0.28,0.68,0.5555555555555556,-2; orientable,False,False,Topological claude_sonnet_5,surface_topology,5,50,29,20,0.4,0.58,0.3,-1,False,False,Topological claude_sonnet_5,symmetry_pattern,1,50,47,25,0.5,0.94,0.88,6,False,False,Transformational claude_sonnet_5,symmetry_pattern,2,50,30,27,0.54,0.6,0.13043478260869565,symmetric,False,False,Transformational claude_sonnet_5,symmetry_pattern,3,50,31,14,0.28,0.62,0.4722222222222222,rotational,False,False,Transformational claude_sonnet_5,symmetry_pattern,4,50,11,17,0.34,0.22,-0.18181818181818182,8,False,False,Transformational claude_sonnet_5,symmetry_pattern,5,50,31,50,1.0,0.62,,yes,True,False,Transformational deepseek_v4_1_flash,angle_estimation,1,50,45,18,0.36,0.9,0.84375,2,False,False,Plane Geometry deepseek_v4_1_flash,angle_estimation,2,50,25,11,0.22,0.5,0.358974358974359,Angle 2,False,False,Plane Geometry deepseek_v4_1_flash,angle_estimation,3,50,31,12,0.24,0.62,0.5,greater than,False,False,Plane Geometry deepseek_v4_1_flash,angle_estimation,4,50,15,12,0.24,0.3,0.07894736842105263,180,False,False,Plane Geometry deepseek_v4_1_flash,angle_estimation,5,50,18,14,0.28,0.36,0.1111111111111111,"190,no",False,False,Plane Geometry deepseek_v4_1_flash,clock_reading,1,50,36,8,0.16,0.72,0.6666666666666666,12,False,False,Physical & Mechanical deepseek_v4_1_flash,clock_reading,2,50,43,26,0.52,0.86,0.7083333333333334,after,False,False,Physical & Mechanical deepseek_v4_1_flash,clock_reading,3,50,4,2,0.04,0.08,0.041666666666666664,08:03,False,False,Physical & Mechanical deepseek_v4_1_flash,clock_reading,4,50,7,2,0.04,0.14,0.10416666666666667,114,False,False,Physical & Mechanical deepseek_v4_1_flash,clock_reading,5,50,6,2,0.04,0.12,0.08333333333333333,124,False,False,Physical & Mechanical deepseek_v4_1_flash,combination,1,50,23,14,0.28,0.46,0.25,9,False,False,Transformational deepseek_v4_1_flash,combination,2,50,2,17,0.34,0.04,-0.45454545454545453,C,False,False,Transformational deepseek_v4_1_flash,combination,3,50,38,19,0.38,0.76,0.6129032258064516,yes,False,False,Transformational deepseek_v4_1_flash,combination,4,50,7,18,0.36,0.14,-0.34375,B,False,False,Transformational deepseek_v4_1_flash,combination,5,50,42,38,0.76,0.84,0.3333333333333333,connected,False,False,Transformational deepseek_v4_1_flash,combination3d,1,50,1,11,0.22,0.02,-0.2564102564102564,12,False,False,Solid Geometry deepseek_v4_1_flash,combination3d,2,50,4,16,0.32,0.08,-0.35294117647058826,B,False,False,Solid Geometry deepseek_v4_1_flash,combination3d,3,50,31,22,0.44,0.62,0.32142857142857145,yes,False,False,Solid Geometry deepseek_v4_1_flash,combination3d,4,50,3,11,0.22,0.06,-0.20512820512820512,D,False,False,Solid Geometry deepseek_v4_1_flash,combination3d,5,50,20,21,0.42,0.4,-0.034482758620689655,"same shape, different angle",False,False,Solid Geometry deepseek_v4_1_flash,compass_bearing,1,50,50,29,0.58,1.0,1.0,3,False,False,Analytic deepseek_v4_1_flash,compass_bearing,2,50,46,24,0.48,0.92,0.8461538461538461,south,False,False,Analytic deepseek_v4_1_flash,compass_bearing,3,50,18,5,0.1,0.36,0.28888888888888886,270,False,False,Analytic deepseek_v4_1_flash,compass_bearing,4,50,0,2,0.04,0.0,-0.041666666666666664,30 degrees counterclockwise,False,False,Analytic deepseek_v4_1_flash,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic deepseek_v4_1_flash,coordinate_geometry,1,50,16,3,0.06,0.32,0.2765957446808511,"(-6, -8)",False,False,Analytic deepseek_v4_1_flash,coordinate_geometry,2,50,10,5,0.1,0.2,0.1111111111111111,4.47,False,False,Analytic deepseek_v4_1_flash,coordinate_geometry,3,50,34,20,0.4,0.68,0.4666666666666667,A and B,False,False,Analytic deepseek_v4_1_flash,coordinate_geometry,4,50,36,12,0.24,0.72,0.631578947368421,less than,False,False,Analytic deepseek_v4_1_flash,coordinate_geometry,5,50,14,5,0.1,0.28,0.2,3.00,False,False,Analytic deepseek_v4_1_flash,cube_net,1,50,50,50,1.0,1.0,,6,True,False,Solid Geometry deepseek_v4_1_flash,cube_net,2,50,43,20,0.4,0.86,0.7666666666666667,E,False,False,Solid Geometry deepseek_v4_1_flash,cube_net,3,50,21,10,0.2,0.42,0.275,1,False,False,Solid Geometry deepseek_v4_1_flash,cube_net,4,50,36,27,0.54,0.72,0.391304347826087,adjacent,False,False,Solid Geometry deepseek_v4_1_flash,cube_net,5,50,14,43,0.86,0.28,-4.142857142857143,no,False,False,Solid Geometry deepseek_v4_1_flash,cube_structure,1,50,4,9,0.18,0.08,-0.12195121951219512,12,False,False,Solid Geometry deepseek_v4_1_flash,cube_structure,2,50,6,12,0.24,0.12,-0.15789473684210525,10,False,False,Solid Geometry deepseek_v4_1_flash,cube_structure,3,50,27,29,0.58,0.54,-0.09523809523809523,1,False,False,Solid Geometry deepseek_v4_1_flash,cube_structure,4,50,7,20,0.4,0.14,-0.43333333333333335,1,False,False,Solid Geometry deepseek_v4_1_flash,cube_structure,5,50,1,17,0.34,0.02,-0.48484848484848486,1,False,False,Solid Geometry deepseek_v4_1_flash,depth_height,1,50,50,20,0.4,1.0,1.0,3,False,False,Solid Geometry deepseek_v4_1_flash,depth_height,2,50,10,14,0.28,0.2,-0.1111111111111111,orange,False,False,Solid Geometry deepseek_v4_1_flash,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry deepseek_v4_1_flash,depth_height,4,50,15,3,0.06,0.3,0.2553191489361702,0.65,False,False,Solid Geometry deepseek_v4_1_flash,depth_height,5,50,29,16,0.32,0.58,0.38235294117647056,smaller,False,False,Solid Geometry deepseek_v4_1_flash,embedded_figures,1,50,4,14,0.28,0.08,-0.2777777777777778,14,False,False,Transformational deepseek_v4_1_flash,embedded_figures,2,50,9,18,0.36,0.18,-0.28125,6,False,False,Transformational deepseek_v4_1_flash,embedded_figures,3,50,26,20,0.4,0.52,0.2,D,False,False,Transformational deepseek_v4_1_flash,embedded_figures,4,50,14,14,0.28,0.28,0.0,8,False,False,Transformational deepseek_v4_1_flash,embedded_figures,5,50,27,28,0.56,0.54,-0.045454545454545456,open,False,False,Transformational deepseek_v4_1_flash,fbd,1,50,49,17,0.34,0.98,0.9696969696969697,4,False,False,Physical & Mechanical deepseek_v4_1_flash,fbd,2,50,30,12,0.24,0.6,0.47368421052631576,W,False,False,Physical & Mechanical deepseek_v4_1_flash,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical deepseek_v4_1_flash,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical deepseek_v4_1_flash,fbd,5,50,4,20,0.4,0.08,-0.5333333333333333,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical deepseek_v4_1_flash,fold_punch,1,50,48,28,0.56,0.96,0.9090909090909091,3,False,False,Transformational deepseek_v4_1_flash,fold_punch,2,50,22,32,0.64,0.44,-0.5555555555555556,8,False,False,Transformational deepseek_v4_1_flash,fold_punch,3,50,6,13,0.26,0.12,-0.1891891891891892,A,False,False,Transformational deepseek_v4_1_flash,fold_punch,4,50,23,16,0.32,0.46,0.20588235294117646,A,False,False,Transformational deepseek_v4_1_flash,fold_punch,5,50,33,24,0.48,0.66,0.34615384615384615,16,False,False,Transformational deepseek_v4_1_flash,gauge_reading,1,50,50,35,0.7,1.0,1.0,0,False,False,Physical & Mechanical deepseek_v4_1_flash,gauge_reading,2,50,50,25,0.5,1.0,1.0,lower half,False,False,Physical & Mechanical deepseek_v4_1_flash,gauge_reading,3,50,33,5,0.1,0.66,0.6222222222222222,100,False,False,Physical & Mechanical deepseek_v4_1_flash,gauge_reading,4,50,2,34,0.68,0.04,-2.0,no danger zone marked,False,False,Physical & Mechanical deepseek_v4_1_flash,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical deepseek_v4_1_flash,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical deepseek_v4_1_flash,gear_train,2,50,0,50,1.0,0.0,,opposite,True,False,Physical & Mechanical deepseek_v4_1_flash,gear_train,3,50,48,15,0.3,0.96,0.9428571428571428,C,False,False,Physical & Mechanical deepseek_v4_1_flash,gear_train,4,50,35,2,0.04,0.7,0.6875,26.2,False,False,Physical & Mechanical deepseek_v4_1_flash,gear_train,5,50,0,19,0.38,0.0,-0.6129032258064516,decrease; direction unchanged,False,False,Physical & Mechanical deepseek_v4_1_flash,hex_pathfinding,1,50,9,8,0.16,0.18,0.023809523809523808,7,False,False,Topological deepseek_v4_1_flash,hex_pathfinding,2,50,34,25,0.5,0.68,0.36,hole,False,False,Topological deepseek_v4_1_flash,hex_pathfinding,3,50,1,11,0.22,0.02,-0.2564102564102564,6,False,False,Topological deepseek_v4_1_flash,hex_pathfinding,4,50,0,13,0.26,0.0,-0.35135135135135137,unique,False,False,Topological deepseek_v4_1_flash,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological deepseek_v4_1_flash,impossible_object,1,50,25,27,0.54,0.5,-0.08695652173913043,5,False,False,Optical deepseek_v4_1_flash,impossible_object,2,50,14,31,0.62,0.28,-0.8947368421052632,yes,False,False,Optical deepseek_v4_1_flash,impossible_object,3,50,10,12,0.24,0.2,-0.05263157894736842,D,False,False,Optical deepseek_v4_1_flash,impossible_object,4,50,2,16,0.32,0.04,-0.4117647058823529,8,False,False,Optical deepseek_v4_1_flash,impossible_object,5,50,1,34,0.68,0.02,-2.0625,already constructible,False,False,Optical deepseek_v4_1_flash,laser_mirror,1,50,48,18,0.36,0.96,0.9375,3,False,False,Physical & Mechanical deepseek_v4_1_flash,laser_mirror,2,50,33,38,0.76,0.66,-0.4166666666666667,yes,False,False,Physical & Mechanical deepseek_v4_1_flash,laser_mirror,3,50,7,24,0.48,0.14,-0.6538461538461539,1,False,False,Physical & Mechanical deepseek_v4_1_flash,laser_mirror,4,50,0,5,0.1,0.0,-0.1111111111111111,"left, position 2",False,False,Physical & Mechanical deepseek_v4_1_flash,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical deepseek_v4_1_flash,line_intersection,1,50,30,17,0.34,0.6,0.3939393939393939,2,False,False,Plane Geometry deepseek_v4_1_flash,line_intersection,2,50,37,15,0.3,0.74,0.6285714285714286,0,False,False,Plane Geometry deepseek_v4_1_flash,line_intersection,3,50,47,15,0.3,0.94,0.9142857142857143,blue,False,False,Plane Geometry deepseek_v4_1_flash,line_intersection,4,50,39,12,0.24,0.78,0.7105263157894737,even,False,False,Plane Geometry deepseek_v4_1_flash,line_intersection,5,50,31,23,0.46,0.62,0.2962962962962963,0,False,False,Plane Geometry deepseek_v4_1_flash,nested_hexagons,1,50,14,8,0.16,0.28,0.14285714285714285,4,False,False,Plane Geometry deepseek_v4_1_flash,nested_hexagons,2,50,18,26,0.52,0.36,-0.3333333333333333,constant,False,False,Plane Geometry deepseek_v4_1_flash,nested_hexagons,3,50,0,4,0.08,0.0,-0.08695652173913043,6.6,False,False,Plane Geometry deepseek_v4_1_flash,nested_hexagons,4,50,2,6,0.12,0.04,-0.09090909090909091,0,False,False,Plane Geometry deepseek_v4_1_flash,nested_hexagons,5,50,23,30,0.6,0.46,-0.35,no,False,False,Plane Geometry deepseek_v4_1_flash,nested_squares,1,50,17,11,0.22,0.34,0.15384615384615385,9,False,False,Plane Geometry deepseek_v4_1_flash,nested_squares,2,50,26,26,0.52,0.52,0.0,constant,False,False,Plane Geometry deepseek_v4_1_flash,nested_squares,3,50,0,3,0.06,0.0,-0.06382978723404255,4.9,False,False,Plane Geometry deepseek_v4_1_flash,nested_squares,4,50,1,7,0.14,0.02,-0.13953488372093023,0,False,False,Plane Geometry deepseek_v4_1_flash,nested_squares,5,50,22,26,0.52,0.44,-0.16666666666666666,yes,False,False,Plane Geometry deepseek_v4_1_flash,nested_triangles,1,50,20,9,0.18,0.4,0.2682926829268293,4,False,False,Plane Geometry deepseek_v4_1_flash,nested_triangles,2,50,32,31,0.62,0.64,0.05263157894736842,constant,False,False,Plane Geometry deepseek_v4_1_flash,nested_triangles,3,50,0,5,0.1,0.0,-0.1111111111111111,4.9,False,False,Plane Geometry deepseek_v4_1_flash,nested_triangles,4,50,1,3,0.06,0.02,-0.0425531914893617,0,False,False,Plane Geometry deepseek_v4_1_flash,nested_triangles,5,50,27,28,0.56,0.54,-0.045454545454545456,yes,False,False,Plane Geometry deepseek_v4_1_flash,occluded_pattern,1,50,41,10,0.2,0.82,0.775,8,False,False,Projective deepseek_v4_1_flash,occluded_pattern,2,50,18,9,0.18,0.36,0.21951219512195122,10,False,False,Projective deepseek_v4_1_flash,occluded_pattern,3,50,27,17,0.34,0.54,0.30303030303030304,grid,False,False,Projective deepseek_v4_1_flash,occluded_pattern,4,50,19,18,0.36,0.38,0.03125,2,False,False,Projective deepseek_v4_1_flash,occluded_pattern,5,50,7,10,0.2,0.14,-0.075,11,False,False,Projective deepseek_v4_1_flash,optical_illusion,1,50,50,50,1.0,1.0,,2,True,False,Optical deepseek_v4_1_flash,optical_illusion,2,50,33,29,0.58,0.66,0.19047619047619047,B,False,False,Optical deepseek_v4_1_flash,optical_illusion,3,50,24,23,0.46,0.48,0.037037037037037035,equal,False,False,Optical deepseek_v4_1_flash,optical_illusion,4,50,16,23,0.46,0.32,-0.25925925925925924,0,False,False,Optical deepseek_v4_1_flash,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical deepseek_v4_1_flash,orthographic,1,50,27,14,0.28,0.54,0.3611111111111111,5,False,False,Solid Geometry deepseek_v4_1_flash,orthographic,2,50,0,9,0.18,0.0,-0.21951219512195122,10,False,False,Solid Geometry deepseek_v4_1_flash,orthographic,3,50,12,19,0.38,0.24,-0.22580645161290322,top,False,False,Solid Geometry deepseek_v4_1_flash,orthographic,4,50,3,21,0.42,0.06,-0.6206896551724138,unique,False,False,Solid Geometry deepseek_v4_1_flash,orthographic,5,50,12,50,1.0,0.24,,front and side,True,False,Solid Geometry deepseek_v4_1_flash,overlap_circles,1,50,23,8,0.16,0.46,0.35714285714285715,10,False,False,Transformational deepseek_v4_1_flash,overlap_circles,2,50,23,24,0.48,0.46,-0.038461538461538464,no,False,False,Transformational deepseek_v4_1_flash,overlap_circles,3,50,13,10,0.2,0.26,0.075,4,False,False,Transformational deepseek_v4_1_flash,overlap_circles,4,50,18,12,0.24,0.36,0.15789473684210525,0,False,False,Transformational deepseek_v4_1_flash,overlap_circles,5,50,5,7,0.14,0.1,-0.046511627906976744,3,False,False,Transformational deepseek_v4_1_flash,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical deepseek_v4_1_flash,physical_stability,2,50,30,33,0.66,0.6,-0.17647058823529413,right,False,False,Physical & Mechanical deepseek_v4_1_flash,physical_stability,3,50,35,21,0.42,0.7,0.4827586206896552,D,False,False,Physical & Mechanical deepseek_v4_1_flash,physical_stability,4,50,3,17,0.34,0.06,-0.42424242424242425,stable,False,False,Physical & Mechanical deepseek_v4_1_flash,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical deepseek_v4_1_flash,polyhedron,1,50,22,12,0.24,0.44,0.2631578947368421,12,False,False,Solid Geometry deepseek_v4_1_flash,polyhedron,2,50,27,45,0.9,0.54,-3.6,convex,False,False,Solid Geometry deepseek_v4_1_flash,polyhedron,3,50,14,13,0.26,0.28,0.02702702702702703,mixed,False,False,Solid Geometry deepseek_v4_1_flash,polyhedron,4,50,32,19,0.38,0.64,0.41935483870967744,no,False,False,Solid Geometry deepseek_v4_1_flash,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry deepseek_v4_1_flash,projectile_motion,1,50,50,3,0.06,1.0,1.0,24,False,False,Physical & Mechanical deepseek_v4_1_flash,projectile_motion,2,50,46,28,0.56,0.92,0.8181818181818182,no,False,False,Physical & Mechanical deepseek_v4_1_flash,projectile_motion,3,50,37,2,0.04,0.74,0.7291666666666666,30.7,False,False,Physical & Mechanical deepseek_v4_1_flash,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical deepseek_v4_1_flash,projectile_motion,5,50,42,41,0.82,0.84,0.1111111111111111,increase,False,False,Physical & Mechanical deepseek_v4_1_flash,rotation_matching,1,50,34,16,0.32,0.68,0.5294117647058824,7,False,False,Transformational deepseek_v4_1_flash,rotation_matching,2,50,18,14,0.28,0.36,0.1111111111111111,C,False,False,Transformational deepseek_v4_1_flash,rotation_matching,3,50,8,11,0.22,0.16,-0.07692307692307693,90,False,False,Transformational deepseek_v4_1_flash,rotation_matching,4,50,7,20,0.4,0.14,-0.43333333333333335,A,False,False,Transformational deepseek_v4_1_flash,rotation_matching,5,50,50,11,0.22,1.0,1.0,315,False,False,Transformational deepseek_v4_1_flash,route,1,50,27,15,0.3,0.54,0.34285714285714286,6,False,False,Topological deepseek_v4_1_flash,route,2,50,4,29,0.58,0.08,-1.1904761904761905,1,False,False,Topological deepseek_v4_1_flash,route,3,50,11,6,0.12,0.22,0.11363636363636363,2,False,False,Topological deepseek_v4_1_flash,route,4,50,0,3,0.06,0.0,-0.06382978723404255,BE,False,False,Topological deepseek_v4_1_flash,route,5,50,12,12,0.24,0.24,0.0,4,False,False,Topological deepseek_v4_1_flash,rpm,1,50,50,22,0.44,1.0,1.0,1,False,False,Inductive deepseek_v4_1_flash,rpm,2,50,39,9,0.18,0.78,0.7317073170731707,2,False,False,Inductive deepseek_v4_1_flash,rpm,3,50,19,15,0.3,0.38,0.11428571428571428,wrong in some other way,False,False,Inductive deepseek_v4_1_flash,rpm,4,50,20,13,0.26,0.4,0.1891891891891892,8,False,False,Inductive deepseek_v4_1_flash,rpm,5,50,18,31,0.62,0.36,-0.6842105263157895,9,False,False,Inductive deepseek_v4_1_flash,shadow_inference,1,50,48,23,0.46,0.96,0.9259259259259259,2,False,False,Projective deepseek_v4_1_flash,shadow_inference,2,50,34,20,0.4,0.68,0.4666666666666667,left,False,False,Projective deepseek_v4_1_flash,shadow_inference,3,50,32,14,0.28,0.64,0.5,high,False,False,Projective deepseek_v4_1_flash,shadow_inference,4,50,6,21,0.42,0.12,-0.5172413793103449,same,False,False,Projective deepseek_v4_1_flash,shadow_inference,5,50,18,32,0.64,0.36,-0.7777777777777778,same,False,False,Projective deepseek_v4_1_flash,surface_topology,1,50,34,14,0.28,0.68,0.5555555555555556,2,False,False,Topological deepseek_v4_1_flash,surface_topology,2,50,38,39,0.78,0.76,-0.09090909090909091,orientable,False,False,Topological deepseek_v4_1_flash,surface_topology,3,50,22,18,0.36,0.44,0.125,0,False,False,Topological deepseek_v4_1_flash,surface_topology,4,50,18,14,0.28,0.36,0.1111111111111111,-2; orientable,False,False,Topological deepseek_v4_1_flash,surface_topology,5,50,18,20,0.4,0.36,-0.06666666666666667,-1,False,False,Topological deepseek_v4_1_flash,symmetry_pattern,1,50,45,25,0.5,0.9,0.8,6,False,False,Transformational deepseek_v4_1_flash,symmetry_pattern,2,50,28,27,0.54,0.56,0.043478260869565216,symmetric,False,False,Transformational deepseek_v4_1_flash,symmetry_pattern,3,50,33,14,0.28,0.66,0.5277777777777778,rotational,False,False,Transformational deepseek_v4_1_flash,symmetry_pattern,4,50,19,17,0.34,0.38,0.06060606060606061,8,False,False,Transformational deepseek_v4_1_flash,symmetry_pattern,5,50,48,50,1.0,0.96,,yes,True,False,Transformational gemini_3_8_flash,angle_estimation,1,50,50,18,0.36,1.0,1.0,2,False,False,Plane Geometry gemini_3_8_flash,angle_estimation,2,50,45,11,0.22,0.9,0.8717948717948718,Angle 2,False,False,Plane Geometry gemini_3_8_flash,angle_estimation,3,50,41,12,0.24,0.82,0.7631578947368421,greater than,False,False,Plane Geometry gemini_3_8_flash,angle_estimation,4,50,26,12,0.24,0.52,0.3684210526315789,180,False,False,Plane Geometry gemini_3_8_flash,angle_estimation,5,50,21,14,0.28,0.42,0.19444444444444445,"190,no",False,False,Plane Geometry gemini_3_8_flash,clock_reading,1,50,49,8,0.16,0.98,0.9761904761904762,12,False,False,Physical & Mechanical gemini_3_8_flash,clock_reading,2,50,50,26,0.52,1.0,1.0,after,False,False,Physical & Mechanical gemini_3_8_flash,clock_reading,3,50,40,2,0.04,0.8,0.7916666666666666,08:03,False,False,Physical & Mechanical gemini_3_8_flash,clock_reading,4,50,29,2,0.04,0.58,0.5625,114,False,False,Physical & Mechanical gemini_3_8_flash,clock_reading,5,50,31,2,0.04,0.62,0.6041666666666666,124,False,False,Physical & Mechanical gemini_3_8_flash,combination,1,50,48,14,0.28,0.96,0.9444444444444444,9,False,False,Transformational gemini_3_8_flash,combination,2,50,39,17,0.34,0.78,0.6666666666666666,C,False,False,Transformational gemini_3_8_flash,combination,3,50,47,19,0.38,0.94,0.9032258064516129,yes,False,False,Transformational gemini_3_8_flash,combination,4,50,42,18,0.36,0.84,0.75,B,False,False,Transformational gemini_3_8_flash,combination,5,50,48,38,0.76,0.96,0.8333333333333334,connected,False,False,Transformational gemini_3_8_flash,combination3d,1,50,5,11,0.22,0.1,-0.15384615384615385,12,False,False,Solid Geometry gemini_3_8_flash,combination3d,2,50,23,16,0.32,0.46,0.20588235294117646,B,False,False,Solid Geometry gemini_3_8_flash,combination3d,3,50,36,22,0.44,0.72,0.5,yes,False,False,Solid Geometry gemini_3_8_flash,combination3d,4,50,20,11,0.22,0.4,0.23076923076923078,D,False,False,Solid Geometry gemini_3_8_flash,combination3d,5,50,22,21,0.42,0.44,0.034482758620689655,"same shape, different angle",False,False,Solid Geometry gemini_3_8_flash,compass_bearing,1,50,50,29,0.58,1.0,1.0,3,False,False,Analytic gemini_3_8_flash,compass_bearing,2,50,50,24,0.48,1.0,1.0,south,False,False,Analytic gemini_3_8_flash,compass_bearing,3,50,45,5,0.1,0.9,0.8888888888888888,270,False,False,Analytic gemini_3_8_flash,compass_bearing,4,50,6,2,0.04,0.12,0.08333333333333333,30 degrees counterclockwise,False,False,Analytic gemini_3_8_flash,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic gemini_3_8_flash,coordinate_geometry,1,50,49,3,0.06,0.98,0.9787234042553191,"(-6, -8)",False,False,Analytic gemini_3_8_flash,coordinate_geometry,2,50,50,5,0.1,1.0,1.0,4.47,False,False,Analytic gemini_3_8_flash,coordinate_geometry,3,50,47,20,0.4,0.94,0.9,A and B,False,False,Analytic gemini_3_8_flash,coordinate_geometry,4,50,50,12,0.24,1.0,1.0,less than,False,False,Analytic gemini_3_8_flash,coordinate_geometry,5,50,49,5,0.1,0.98,0.9777777777777777,3.00,False,False,Analytic gemini_3_8_flash,cube_net,1,50,50,50,1.0,1.0,,6,True,False,Solid Geometry gemini_3_8_flash,cube_net,2,50,50,20,0.4,1.0,1.0,E,False,False,Solid Geometry gemini_3_8_flash,cube_net,3,50,49,10,0.2,0.98,0.975,1,False,False,Solid Geometry gemini_3_8_flash,cube_net,4,50,50,27,0.54,1.0,1.0,adjacent,False,False,Solid Geometry gemini_3_8_flash,cube_net,5,50,47,43,0.86,0.94,0.5714285714285714,no,False,False,Solid Geometry gemini_3_8_flash,cube_structure,1,50,7,9,0.18,0.14,-0.04878048780487805,12,False,False,Solid Geometry gemini_3_8_flash,cube_structure,2,50,7,12,0.24,0.14,-0.13157894736842105,10,False,False,Solid Geometry gemini_3_8_flash,cube_structure,3,50,32,29,0.58,0.64,0.14285714285714285,1,False,False,Solid Geometry gemini_3_8_flash,cube_structure,4,50,15,20,0.4,0.3,-0.16666666666666666,1,False,False,Solid Geometry gemini_3_8_flash,cube_structure,5,50,15,17,0.34,0.3,-0.06060606060606061,1,False,False,Solid Geometry gemini_3_8_flash,depth_height,1,50,50,20,0.4,1.0,1.0,3,False,False,Solid Geometry gemini_3_8_flash,depth_height,2,50,0,14,0.28,0.0,-0.3888888888888889,orange,False,False,Solid Geometry gemini_3_8_flash,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry gemini_3_8_flash,depth_height,4,50,22,3,0.06,0.44,0.40425531914893614,0.65,False,False,Solid Geometry gemini_3_8_flash,depth_height,5,50,44,16,0.32,0.88,0.8235294117647058,smaller,False,False,Solid Geometry gemini_3_8_flash,embedded_figures,1,50,5,14,0.28,0.1,-0.25,14,False,False,Transformational gemini_3_8_flash,embedded_figures,2,50,43,18,0.36,0.86,0.78125,6,False,False,Transformational gemini_3_8_flash,embedded_figures,3,50,39,20,0.4,0.78,0.6333333333333333,D,False,False,Transformational gemini_3_8_flash,embedded_figures,4,50,28,14,0.28,0.56,0.3888888888888889,8,False,False,Transformational gemini_3_8_flash,embedded_figures,5,50,28,28,0.56,0.56,0.0,open,False,False,Transformational gemini_3_8_flash,fbd,1,50,50,17,0.34,1.0,1.0,4,False,False,Physical & Mechanical gemini_3_8_flash,fbd,2,50,34,12,0.24,0.68,0.5789473684210527,W,False,False,Physical & Mechanical gemini_3_8_flash,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical gemini_3_8_flash,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical gemini_3_8_flash,fbd,5,50,8,20,0.4,0.16,-0.4,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical gemini_3_8_flash,fold_punch,1,50,50,28,0.56,1.0,1.0,3,False,False,Transformational gemini_3_8_flash,fold_punch,2,50,36,32,0.64,0.72,0.2222222222222222,8,False,False,Transformational gemini_3_8_flash,fold_punch,3,50,23,13,0.26,0.46,0.2702702702702703,A,False,False,Transformational gemini_3_8_flash,fold_punch,4,50,33,16,0.32,0.66,0.5,A,False,False,Transformational gemini_3_8_flash,fold_punch,5,50,49,24,0.48,0.98,0.9615384615384616,16,False,False,Transformational gemini_3_8_flash,gauge_reading,1,50,50,35,0.7,1.0,1.0,0,False,False,Physical & Mechanical gemini_3_8_flash,gauge_reading,2,50,49,25,0.5,0.98,0.96,lower half,False,False,Physical & Mechanical gemini_3_8_flash,gauge_reading,3,50,47,5,0.1,0.94,0.9333333333333333,100,False,False,Physical & Mechanical gemini_3_8_flash,gauge_reading,4,50,11,34,0.68,0.22,-1.4375,no danger zone marked,False,False,Physical & Mechanical gemini_3_8_flash,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical gemini_3_8_flash,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical gemini_3_8_flash,gear_train,2,50,0,50,1.0,0.0,,opposite,True,False,Physical & Mechanical gemini_3_8_flash,gear_train,3,50,50,15,0.3,1.0,1.0,C,False,False,Physical & Mechanical gemini_3_8_flash,gear_train,4,50,47,2,0.04,0.94,0.9375,26.2,False,False,Physical & Mechanical gemini_3_8_flash,gear_train,5,50,0,19,0.38,0.0,-0.6129032258064516,decrease; direction unchanged,False,False,Physical & Mechanical gemini_3_8_flash,hex_pathfinding,1,50,32,8,0.16,0.64,0.5714285714285714,7,False,False,Topological gemini_3_8_flash,hex_pathfinding,2,50,48,25,0.5,0.96,0.92,hole,False,False,Topological gemini_3_8_flash,hex_pathfinding,3,50,13,11,0.22,0.26,0.05128205128205128,6,False,False,Topological gemini_3_8_flash,hex_pathfinding,4,50,2,13,0.26,0.04,-0.2972972972972973,unique,False,False,Topological gemini_3_8_flash,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological gemini_3_8_flash,impossible_object,1,50,48,27,0.54,0.96,0.9130434782608695,5,False,False,Optical gemini_3_8_flash,impossible_object,2,50,23,31,0.62,0.46,-0.42105263157894735,yes,False,False,Optical gemini_3_8_flash,impossible_object,3,50,21,12,0.24,0.42,0.23684210526315788,D,False,False,Optical gemini_3_8_flash,impossible_object,4,50,25,16,0.32,0.5,0.2647058823529412,8,False,False,Optical gemini_3_8_flash,impossible_object,5,50,14,34,0.68,0.28,-1.25,already constructible,False,False,Optical gemini_3_8_flash,laser_mirror,1,50,49,18,0.36,0.98,0.96875,3,False,False,Physical & Mechanical gemini_3_8_flash,laser_mirror,2,50,49,38,0.76,0.98,0.9166666666666666,yes,False,False,Physical & Mechanical gemini_3_8_flash,laser_mirror,3,50,40,24,0.48,0.8,0.6153846153846154,1,False,False,Physical & Mechanical gemini_3_8_flash,laser_mirror,4,50,0,5,0.1,0.0,-0.1111111111111111,"left, position 2",False,False,Physical & Mechanical gemini_3_8_flash,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical gemini_3_8_flash,line_intersection,1,50,42,17,0.34,0.84,0.7575757575757576,2,False,False,Plane Geometry gemini_3_8_flash,line_intersection,2,50,47,15,0.3,0.94,0.9142857142857143,0,False,False,Plane Geometry gemini_3_8_flash,line_intersection,3,50,47,15,0.3,0.94,0.9142857142857143,blue,False,False,Plane Geometry gemini_3_8_flash,line_intersection,4,50,48,12,0.24,0.96,0.9473684210526315,even,False,False,Plane Geometry gemini_3_8_flash,line_intersection,5,50,39,23,0.46,0.78,0.5925925925925926,0,False,False,Plane Geometry gemini_3_8_flash,nested_hexagons,1,50,33,8,0.16,0.66,0.5952380952380952,4,False,False,Plane Geometry gemini_3_8_flash,nested_hexagons,2,50,38,26,0.52,0.76,0.5,constant,False,False,Plane Geometry gemini_3_8_flash,nested_hexagons,3,50,9,4,0.08,0.18,0.10869565217391304,6.6,False,False,Plane Geometry gemini_3_8_flash,nested_hexagons,4,50,5,6,0.12,0.1,-0.022727272727272728,0,False,False,Plane Geometry gemini_3_8_flash,nested_hexagons,5,50,46,30,0.6,0.92,0.8,no,False,False,Plane Geometry gemini_3_8_flash,nested_squares,1,50,40,11,0.22,0.8,0.7435897435897436,9,False,False,Plane Geometry gemini_3_8_flash,nested_squares,2,50,39,26,0.52,0.78,0.5416666666666666,constant,False,False,Plane Geometry gemini_3_8_flash,nested_squares,3,50,12,3,0.06,0.24,0.19148936170212766,4.9,False,False,Plane Geometry gemini_3_8_flash,nested_squares,4,50,5,7,0.14,0.1,-0.046511627906976744,0,False,False,Plane Geometry gemini_3_8_flash,nested_squares,5,50,45,26,0.52,0.9,0.7916666666666666,yes,False,False,Plane Geometry gemini_3_8_flash,nested_triangles,1,50,27,9,0.18,0.54,0.43902439024390244,4,False,False,Plane Geometry gemini_3_8_flash,nested_triangles,2,50,35,31,0.62,0.7,0.21052631578947367,constant,False,False,Plane Geometry gemini_3_8_flash,nested_triangles,3,50,7,5,0.1,0.14,0.044444444444444446,4.9,False,False,Plane Geometry gemini_3_8_flash,nested_triangles,4,50,4,3,0.06,0.08,0.02127659574468085,0,False,False,Plane Geometry gemini_3_8_flash,nested_triangles,5,50,45,28,0.56,0.9,0.7727272727272727,yes,False,False,Plane Geometry gemini_3_8_flash,occluded_pattern,1,50,50,10,0.2,1.0,1.0,8,False,False,Projective gemini_3_8_flash,occluded_pattern,2,50,40,9,0.18,0.8,0.7560975609756098,10,False,False,Projective gemini_3_8_flash,occluded_pattern,3,50,37,17,0.34,0.74,0.6060606060606061,grid,False,False,Projective gemini_3_8_flash,occluded_pattern,4,50,30,18,0.36,0.6,0.375,2,False,False,Projective gemini_3_8_flash,occluded_pattern,5,50,32,10,0.2,0.64,0.55,11,False,False,Projective gemini_3_8_flash,optical_illusion,1,50,50,50,1.0,1.0,,2,True,False,Optical gemini_3_8_flash,optical_illusion,2,50,50,29,0.58,1.0,1.0,B,False,False,Optical gemini_3_8_flash,optical_illusion,3,50,38,23,0.46,0.76,0.5555555555555556,equal,False,False,Optical gemini_3_8_flash,optical_illusion,4,50,23,23,0.46,0.46,0.0,0,False,False,Optical gemini_3_8_flash,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical gemini_3_8_flash,orthographic,1,50,50,14,0.28,1.0,1.0,5,False,False,Solid Geometry gemini_3_8_flash,orthographic,2,50,39,9,0.18,0.78,0.7317073170731707,10,False,False,Solid Geometry gemini_3_8_flash,orthographic,3,50,33,19,0.38,0.66,0.45161290322580644,top,False,False,Solid Geometry gemini_3_8_flash,orthographic,4,50,36,21,0.42,0.72,0.5172413793103449,unique,False,False,Solid Geometry gemini_3_8_flash,orthographic,5,50,19,50,1.0,0.38,,front and side,True,False,Solid Geometry gemini_3_8_flash,overlap_circles,1,50,26,8,0.16,0.52,0.42857142857142855,10,False,False,Transformational gemini_3_8_flash,overlap_circles,2,50,34,24,0.48,0.68,0.38461538461538464,no,False,False,Transformational gemini_3_8_flash,overlap_circles,3,50,25,10,0.2,0.5,0.375,4,False,False,Transformational gemini_3_8_flash,overlap_circles,4,50,26,12,0.24,0.52,0.3684210526315789,0,False,False,Transformational gemini_3_8_flash,overlap_circles,5,50,14,7,0.14,0.28,0.16279069767441862,3,False,False,Transformational gemini_3_8_flash,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical gemini_3_8_flash,physical_stability,2,50,49,33,0.66,0.98,0.9411764705882353,right,False,False,Physical & Mechanical gemini_3_8_flash,physical_stability,3,50,50,21,0.42,1.0,1.0,D,False,False,Physical & Mechanical gemini_3_8_flash,physical_stability,4,50,16,17,0.34,0.32,-0.030303030303030304,stable,False,False,Physical & Mechanical gemini_3_8_flash,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical gemini_3_8_flash,polyhedron,1,50,27,12,0.24,0.54,0.39473684210526316,12,False,False,Solid Geometry gemini_3_8_flash,polyhedron,2,50,39,45,0.9,0.78,-1.2,convex,False,False,Solid Geometry gemini_3_8_flash,polyhedron,3,50,24,13,0.26,0.48,0.2972972972972973,mixed,False,False,Solid Geometry gemini_3_8_flash,polyhedron,4,50,45,19,0.38,0.9,0.8387096774193549,no,False,False,Solid Geometry gemini_3_8_flash,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry gemini_3_8_flash,projectile_motion,1,50,50,3,0.06,1.0,1.0,24,False,False,Physical & Mechanical gemini_3_8_flash,projectile_motion,2,50,50,28,0.56,1.0,1.0,no,False,False,Physical & Mechanical gemini_3_8_flash,projectile_motion,3,50,48,2,0.04,0.96,0.9583333333333334,30.7,False,False,Physical & Mechanical gemini_3_8_flash,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical gemini_3_8_flash,projectile_motion,5,50,42,41,0.82,0.84,0.1111111111111111,increase,False,False,Physical & Mechanical gemini_3_8_flash,rotation_matching,1,50,50,16,0.32,1.0,1.0,7,False,False,Transformational gemini_3_8_flash,rotation_matching,2,50,14,14,0.28,0.28,0.0,C,False,False,Transformational gemini_3_8_flash,rotation_matching,3,50,11,11,0.22,0.22,0.0,90,False,False,Transformational gemini_3_8_flash,rotation_matching,4,50,13,20,0.4,0.26,-0.23333333333333334,A,False,False,Transformational gemini_3_8_flash,rotation_matching,5,50,50,11,0.22,1.0,1.0,315,False,False,Transformational gemini_3_8_flash,route,1,50,40,15,0.3,0.8,0.7142857142857143,6,False,False,Topological gemini_3_8_flash,route,2,50,22,29,0.58,0.44,-0.3333333333333333,1,False,False,Topological gemini_3_8_flash,route,3,50,34,6,0.12,0.68,0.6363636363636364,2,False,False,Topological gemini_3_8_flash,route,4,50,1,3,0.06,0.02,-0.0425531914893617,BE,False,False,Topological gemini_3_8_flash,route,5,50,31,12,0.24,0.62,0.5,4,False,False,Topological gemini_3_8_flash,rpm,1,50,50,22,0.44,1.0,1.0,1,False,False,Inductive gemini_3_8_flash,rpm,2,50,47,9,0.18,0.94,0.926829268292683,2,False,False,Inductive gemini_3_8_flash,rpm,3,50,33,15,0.3,0.66,0.5142857142857142,wrong in some other way,False,False,Inductive gemini_3_8_flash,rpm,4,50,30,13,0.26,0.6,0.4594594594594595,8,False,False,Inductive gemini_3_8_flash,rpm,5,50,48,31,0.62,0.96,0.8947368421052632,9,False,False,Inductive gemini_3_8_flash,shadow_inference,1,50,47,23,0.46,0.94,0.8888888888888888,2,False,False,Projective gemini_3_8_flash,shadow_inference,2,50,40,20,0.4,0.8,0.6666666666666666,left,False,False,Projective gemini_3_8_flash,shadow_inference,3,50,32,14,0.28,0.64,0.5,high,False,False,Projective gemini_3_8_flash,shadow_inference,4,50,14,21,0.42,0.28,-0.2413793103448276,same,False,False,Projective gemini_3_8_flash,shadow_inference,5,50,18,32,0.64,0.36,-0.7777777777777778,same,False,False,Projective gemini_3_8_flash,surface_topology,1,50,34,14,0.28,0.68,0.5555555555555556,2,False,False,Topological gemini_3_8_flash,surface_topology,2,50,32,39,0.78,0.64,-0.6363636363636364,orientable,False,False,Topological gemini_3_8_flash,surface_topology,3,50,34,18,0.36,0.68,0.5,0,False,False,Topological gemini_3_8_flash,surface_topology,4,50,46,14,0.28,0.92,0.8888888888888888,-2; orientable,False,False,Topological gemini_3_8_flash,surface_topology,5,50,48,20,0.4,0.96,0.9333333333333333,-1,False,False,Topological gemini_3_8_flash,symmetry_pattern,1,50,50,25,0.5,1.0,1.0,6,False,False,Transformational gemini_3_8_flash,symmetry_pattern,2,50,41,27,0.54,0.82,0.6086956521739131,symmetric,False,False,Transformational gemini_3_8_flash,symmetry_pattern,3,50,39,14,0.28,0.78,0.6944444444444444,rotational,False,False,Transformational gemini_3_8_flash,symmetry_pattern,4,50,24,17,0.34,0.48,0.21212121212121213,8,False,False,Transformational gemini_3_8_flash,symmetry_pattern,5,50,32,50,1.0,0.64,,yes,True,False,Transformational gpt_5_6_luna,angle_estimation,1,50,49,18,0.36,0.98,0.96875,2,False,False,Plane Geometry gpt_5_6_luna,angle_estimation,2,50,31,11,0.22,0.62,0.5128205128205128,Angle 2,False,False,Plane Geometry gpt_5_6_luna,angle_estimation,3,50,29,12,0.24,0.58,0.4473684210526316,greater than,False,False,Plane Geometry gpt_5_6_luna,angle_estimation,4,50,12,12,0.24,0.24,0.0,180,False,False,Plane Geometry gpt_5_6_luna,angle_estimation,5,50,3,14,0.28,0.06,-0.3055555555555556,"190,no",False,False,Plane Geometry gpt_5_6_luna,clock_reading,1,50,40,8,0.16,0.8,0.7619047619047619,12,False,False,Physical & Mechanical gpt_5_6_luna,clock_reading,2,50,22,26,0.52,0.44,-0.16666666666666666,after,False,False,Physical & Mechanical gpt_5_6_luna,clock_reading,3,50,26,2,0.04,0.52,0.5,08:03,False,False,Physical & Mechanical gpt_5_6_luna,clock_reading,4,50,0,2,0.04,0.0,-0.041666666666666664,114,False,False,Physical & Mechanical gpt_5_6_luna,clock_reading,5,50,0,2,0.04,0.0,-0.041666666666666664,124,False,False,Physical & Mechanical gpt_5_6_luna,combination,1,50,15,14,0.28,0.3,0.027777777777777776,9,False,False,Transformational gpt_5_6_luna,combination,2,50,18,17,0.34,0.36,0.030303030303030304,C,False,False,Transformational gpt_5_6_luna,combination,3,50,33,19,0.38,0.66,0.45161290322580644,yes,False,False,Transformational gpt_5_6_luna,combination,4,50,9,18,0.36,0.18,-0.28125,B,False,False,Transformational gpt_5_6_luna,combination,5,50,29,38,0.76,0.58,-0.75,connected,False,False,Transformational gpt_5_6_luna,combination3d,1,50,8,11,0.22,0.16,-0.07692307692307693,12,False,False,Solid Geometry gpt_5_6_luna,combination3d,2,50,16,16,0.32,0.32,0.0,B,False,False,Solid Geometry gpt_5_6_luna,combination3d,3,50,28,22,0.44,0.56,0.21428571428571427,yes,False,False,Solid Geometry gpt_5_6_luna,combination3d,4,50,15,11,0.22,0.3,0.10256410256410256,D,False,False,Solid Geometry gpt_5_6_luna,combination3d,5,50,24,21,0.42,0.48,0.10344827586206896,"same shape, different angle",False,False,Solid Geometry gpt_5_6_luna,compass_bearing,1,50,50,29,0.58,1.0,1.0,3,False,False,Analytic gpt_5_6_luna,compass_bearing,2,50,48,24,0.48,0.96,0.9230769230769231,south,False,False,Analytic gpt_5_6_luna,compass_bearing,3,50,11,5,0.1,0.22,0.13333333333333333,270,False,False,Analytic gpt_5_6_luna,compass_bearing,4,50,0,2,0.04,0.0,-0.041666666666666664,30 degrees counterclockwise,False,False,Analytic gpt_5_6_luna,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic gpt_5_6_luna,coordinate_geometry,1,50,50,3,0.06,1.0,1.0,"(-6, -8)",False,False,Analytic gpt_5_6_luna,coordinate_geometry,2,50,7,5,0.1,0.14,0.044444444444444446,4.47,False,False,Analytic gpt_5_6_luna,coordinate_geometry,3,50,38,20,0.4,0.76,0.6,A and B,False,False,Analytic gpt_5_6_luna,coordinate_geometry,4,50,31,12,0.24,0.62,0.5,less than,False,False,Analytic gpt_5_6_luna,coordinate_geometry,5,50,3,5,0.1,0.06,-0.044444444444444446,3.00,False,False,Analytic gpt_5_6_luna,cube_net,1,50,50,50,1.0,1.0,,6,True,False,Solid Geometry gpt_5_6_luna,cube_net,2,50,49,20,0.4,0.98,0.9666666666666667,E,False,False,Solid Geometry gpt_5_6_luna,cube_net,3,50,21,10,0.2,0.42,0.275,1,False,False,Solid Geometry gpt_5_6_luna,cube_net,4,50,32,27,0.54,0.64,0.21739130434782608,adjacent,False,False,Solid Geometry gpt_5_6_luna,cube_net,5,50,39,43,0.86,0.78,-0.5714285714285714,no,False,False,Solid Geometry gpt_5_6_luna,cube_structure,1,50,3,9,0.18,0.06,-0.14634146341463414,12,False,False,Solid Geometry gpt_5_6_luna,cube_structure,2,50,7,12,0.24,0.14,-0.13157894736842105,10,False,False,Solid Geometry gpt_5_6_luna,cube_structure,3,50,38,29,0.58,0.76,0.42857142857142855,1,False,False,Solid Geometry gpt_5_6_luna,cube_structure,4,50,23,20,0.4,0.46,0.1,1,False,False,Solid Geometry gpt_5_6_luna,cube_structure,5,50,14,17,0.34,0.28,-0.09090909090909091,1,False,False,Solid Geometry gpt_5_6_luna,depth_height,1,50,49,20,0.4,0.98,0.9666666666666667,3,False,False,Solid Geometry gpt_5_6_luna,depth_height,2,50,0,14,0.28,0.0,-0.3888888888888889,orange,False,False,Solid Geometry gpt_5_6_luna,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry gpt_5_6_luna,depth_height,4,50,6,3,0.06,0.12,0.06382978723404255,0.65,False,False,Solid Geometry gpt_5_6_luna,depth_height,5,50,25,16,0.32,0.5,0.2647058823529412,smaller,False,False,Solid Geometry gpt_5_6_luna,embedded_figures,1,50,1,14,0.28,0.02,-0.3611111111111111,14,False,False,Transformational gpt_5_6_luna,embedded_figures,2,50,16,18,0.36,0.32,-0.0625,6,False,False,Transformational gpt_5_6_luna,embedded_figures,3,50,13,20,0.4,0.26,-0.23333333333333334,D,False,False,Transformational gpt_5_6_luna,embedded_figures,4,50,7,14,0.28,0.14,-0.19444444444444445,8,False,False,Transformational gpt_5_6_luna,embedded_figures,5,50,28,28,0.56,0.56,0.0,open,False,False,Transformational gpt_5_6_luna,fbd,1,50,46,17,0.34,0.92,0.8787878787878788,4,False,False,Physical & Mechanical gpt_5_6_luna,fbd,2,50,19,12,0.24,0.38,0.18421052631578946,W,False,False,Physical & Mechanical gpt_5_6_luna,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical gpt_5_6_luna,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical gpt_5_6_luna,fbd,5,50,6,20,0.4,0.12,-0.4666666666666667,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical gpt_5_6_luna,fold_punch,1,50,50,28,0.56,1.0,1.0,3,False,False,Transformational gpt_5_6_luna,fold_punch,2,50,29,32,0.64,0.58,-0.16666666666666666,8,False,False,Transformational gpt_5_6_luna,fold_punch,3,50,17,13,0.26,0.34,0.10810810810810811,A,False,False,Transformational gpt_5_6_luna,fold_punch,4,50,19,16,0.32,0.38,0.08823529411764706,A,False,False,Transformational gpt_5_6_luna,fold_punch,5,50,32,24,0.48,0.64,0.3076923076923077,16,False,False,Transformational gpt_5_6_luna,gauge_reading,1,50,50,35,0.7,1.0,1.0,0,False,False,Physical & Mechanical gpt_5_6_luna,gauge_reading,2,50,40,25,0.5,0.8,0.6,lower half,False,False,Physical & Mechanical gpt_5_6_luna,gauge_reading,3,50,36,5,0.1,0.72,0.6888888888888889,100,False,False,Physical & Mechanical gpt_5_6_luna,gauge_reading,4,50,0,34,0.68,0.0,-2.125,no danger zone marked,False,False,Physical & Mechanical gpt_5_6_luna,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical gpt_5_6_luna,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical gpt_5_6_luna,gear_train,2,50,0,50,1.0,0.0,,opposite,True,False,Physical & Mechanical gpt_5_6_luna,gear_train,3,50,40,15,0.3,0.8,0.7142857142857143,C,False,False,Physical & Mechanical gpt_5_6_luna,gear_train,4,50,25,2,0.04,0.5,0.4791666666666667,26.2,False,False,Physical & Mechanical gpt_5_6_luna,gear_train,5,50,6,19,0.38,0.12,-0.41935483870967744,decrease; direction unchanged,False,False,Physical & Mechanical gpt_5_6_luna,hex_pathfinding,1,50,4,8,0.16,0.08,-0.09523809523809523,7,False,False,Topological gpt_5_6_luna,hex_pathfinding,2,50,31,25,0.5,0.62,0.24,hole,False,False,Topological gpt_5_6_luna,hex_pathfinding,3,50,4,11,0.22,0.08,-0.1794871794871795,6,False,False,Topological gpt_5_6_luna,hex_pathfinding,4,50,0,13,0.26,0.0,-0.35135135135135137,unique,False,False,Topological gpt_5_6_luna,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological gpt_5_6_luna,impossible_object,1,50,0,27,0.54,0.0,-1.173913043478261,5,False,False,Optical gpt_5_6_luna,impossible_object,2,50,28,31,0.62,0.56,-0.15789473684210525,yes,False,False,Optical gpt_5_6_luna,impossible_object,3,50,13,12,0.24,0.26,0.02631578947368421,D,False,False,Optical gpt_5_6_luna,impossible_object,4,50,9,16,0.32,0.18,-0.20588235294117646,8,False,False,Optical gpt_5_6_luna,impossible_object,5,50,4,34,0.68,0.08,-1.875,already constructible,False,False,Optical gpt_5_6_luna,laser_mirror,1,50,48,18,0.36,0.96,0.9375,3,False,False,Physical & Mechanical gpt_5_6_luna,laser_mirror,2,50,38,38,0.76,0.76,0.0,yes,False,False,Physical & Mechanical gpt_5_6_luna,laser_mirror,3,50,6,24,0.48,0.12,-0.6923076923076923,1,False,False,Physical & Mechanical gpt_5_6_luna,laser_mirror,4,50,8,5,0.1,0.16,0.06666666666666667,"left, position 2",False,False,Physical & Mechanical gpt_5_6_luna,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical gpt_5_6_luna,line_intersection,1,50,40,17,0.34,0.8,0.696969696969697,2,False,False,Plane Geometry gpt_5_6_luna,line_intersection,2,50,39,15,0.3,0.78,0.6857142857142857,0,False,False,Plane Geometry gpt_5_6_luna,line_intersection,3,50,46,15,0.3,0.92,0.8857142857142857,blue,False,False,Plane Geometry gpt_5_6_luna,line_intersection,4,50,36,12,0.24,0.72,0.631578947368421,even,False,False,Plane Geometry gpt_5_6_luna,line_intersection,5,50,27,23,0.46,0.54,0.14814814814814814,0,False,False,Plane Geometry gpt_5_6_luna,nested_hexagons,1,50,22,8,0.16,0.44,0.3333333333333333,4,False,False,Plane Geometry gpt_5_6_luna,nested_hexagons,2,50,26,26,0.52,0.52,0.0,constant,False,False,Plane Geometry gpt_5_6_luna,nested_hexagons,3,50,0,4,0.08,0.0,-0.08695652173913043,6.6,False,False,Plane Geometry gpt_5_6_luna,nested_hexagons,4,50,1,6,0.12,0.02,-0.11363636363636363,0,False,False,Plane Geometry gpt_5_6_luna,nested_hexagons,5,50,31,30,0.6,0.62,0.05,no,False,False,Plane Geometry gpt_5_6_luna,nested_squares,1,50,20,11,0.22,0.4,0.23076923076923078,9,False,False,Plane Geometry gpt_5_6_luna,nested_squares,2,50,27,26,0.52,0.54,0.041666666666666664,constant,False,False,Plane Geometry gpt_5_6_luna,nested_squares,3,50,0,3,0.06,0.0,-0.06382978723404255,4.9,False,False,Plane Geometry gpt_5_6_luna,nested_squares,4,50,2,7,0.14,0.04,-0.11627906976744186,0,False,False,Plane Geometry gpt_5_6_luna,nested_squares,5,50,25,26,0.52,0.5,-0.041666666666666664,yes,False,False,Plane Geometry gpt_5_6_luna,nested_triangles,1,50,9,9,0.18,0.18,0.0,4,False,False,Plane Geometry gpt_5_6_luna,nested_triangles,2,50,25,31,0.62,0.5,-0.3157894736842105,constant,False,False,Plane Geometry gpt_5_6_luna,nested_triangles,3,50,0,5,0.1,0.0,-0.1111111111111111,4.9,False,False,Plane Geometry gpt_5_6_luna,nested_triangles,4,50,1,3,0.06,0.02,-0.0425531914893617,0,False,False,Plane Geometry gpt_5_6_luna,nested_triangles,5,50,22,28,0.56,0.44,-0.2727272727272727,yes,False,False,Plane Geometry gpt_5_6_luna,occluded_pattern,1,50,37,10,0.2,0.74,0.675,8,False,False,Projective gpt_5_6_luna,occluded_pattern,2,50,14,9,0.18,0.28,0.12195121951219512,10,False,False,Projective gpt_5_6_luna,occluded_pattern,3,50,26,17,0.34,0.52,0.2727272727272727,grid,False,False,Projective gpt_5_6_luna,occluded_pattern,4,50,3,18,0.36,0.06,-0.46875,2,False,False,Projective gpt_5_6_luna,occluded_pattern,5,50,3,10,0.2,0.06,-0.175,11,False,False,Projective gpt_5_6_luna,optical_illusion,1,50,49,50,1.0,0.98,,2,True,False,Optical gpt_5_6_luna,optical_illusion,2,50,29,29,0.58,0.58,0.0,B,False,False,Optical gpt_5_6_luna,optical_illusion,3,50,25,23,0.46,0.5,0.07407407407407407,equal,False,False,Optical gpt_5_6_luna,optical_illusion,4,50,23,23,0.46,0.46,0.0,0,False,False,Optical gpt_5_6_luna,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical gpt_5_6_luna,orthographic,1,50,15,14,0.28,0.3,0.027777777777777776,5,False,False,Solid Geometry gpt_5_6_luna,orthographic,2,50,4,9,0.18,0.08,-0.12195121951219512,10,False,False,Solid Geometry gpt_5_6_luna,orthographic,3,50,34,19,0.38,0.68,0.4838709677419355,top,False,False,Solid Geometry gpt_5_6_luna,orthographic,4,50,21,21,0.42,0.42,0.0,unique,False,False,Solid Geometry gpt_5_6_luna,orthographic,5,50,16,50,1.0,0.32,,front and side,True,False,Solid Geometry gpt_5_6_luna,overlap_circles,1,50,2,8,0.16,0.04,-0.14285714285714285,10,False,False,Transformational gpt_5_6_luna,overlap_circles,2,50,30,24,0.48,0.6,0.23076923076923078,no,False,False,Transformational gpt_5_6_luna,overlap_circles,3,50,7,10,0.2,0.14,-0.075,4,False,False,Transformational gpt_5_6_luna,overlap_circles,4,50,26,12,0.24,0.52,0.3684210526315789,0,False,False,Transformational gpt_5_6_luna,overlap_circles,5,50,8,7,0.14,0.16,0.023255813953488372,3,False,False,Transformational gpt_5_6_luna,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical gpt_5_6_luna,physical_stability,2,50,38,33,0.66,0.76,0.29411764705882354,right,False,False,Physical & Mechanical gpt_5_6_luna,physical_stability,3,50,38,21,0.42,0.76,0.5862068965517241,D,False,False,Physical & Mechanical gpt_5_6_luna,physical_stability,4,50,11,17,0.34,0.22,-0.18181818181818182,stable,False,False,Physical & Mechanical gpt_5_6_luna,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical gpt_5_6_luna,polyhedron,1,50,11,12,0.24,0.22,-0.02631578947368421,12,False,False,Solid Geometry gpt_5_6_luna,polyhedron,2,50,32,45,0.9,0.64,-2.6,convex,False,False,Solid Geometry gpt_5_6_luna,polyhedron,3,50,12,13,0.26,0.24,-0.02702702702702703,mixed,False,False,Solid Geometry gpt_5_6_luna,polyhedron,4,50,22,19,0.38,0.44,0.0967741935483871,no,False,False,Solid Geometry gpt_5_6_luna,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry gpt_5_6_luna,projectile_motion,1,50,50,3,0.06,1.0,1.0,24,False,False,Physical & Mechanical gpt_5_6_luna,projectile_motion,2,50,31,28,0.56,0.62,0.13636363636363635,no,False,False,Physical & Mechanical gpt_5_6_luna,projectile_motion,3,50,0,2,0.04,0.0,-0.041666666666666664,30.7,False,False,Physical & Mechanical gpt_5_6_luna,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical gpt_5_6_luna,projectile_motion,5,50,36,41,0.82,0.72,-0.5555555555555556,increase,False,False,Physical & Mechanical gpt_5_6_luna,rotation_matching,1,50,37,16,0.32,0.74,0.6176470588235294,7,False,False,Transformational gpt_5_6_luna,rotation_matching,2,50,9,14,0.28,0.18,-0.1388888888888889,C,False,False,Transformational gpt_5_6_luna,rotation_matching,3,50,7,11,0.22,0.14,-0.10256410256410256,90,False,False,Transformational gpt_5_6_luna,rotation_matching,4,50,16,20,0.4,0.32,-0.13333333333333333,A,False,False,Transformational gpt_5_6_luna,rotation_matching,5,50,50,11,0.22,1.0,1.0,315,False,False,Transformational gpt_5_6_luna,route,1,50,30,15,0.3,0.6,0.42857142857142855,6,False,False,Topological gpt_5_6_luna,route,2,50,2,29,0.58,0.04,-1.2857142857142858,1,False,False,Topological gpt_5_6_luna,route,3,50,10,6,0.12,0.2,0.09090909090909091,2,False,False,Topological gpt_5_6_luna,route,4,50,1,3,0.06,0.02,-0.0425531914893617,BE,False,False,Topological gpt_5_6_luna,route,5,50,13,12,0.24,0.26,0.02631578947368421,4,False,False,Topological gpt_5_6_luna,rpm,1,50,50,22,0.44,1.0,1.0,1,False,False,Inductive gpt_5_6_luna,rpm,2,50,30,9,0.18,0.6,0.5121951219512195,2,False,False,Inductive gpt_5_6_luna,rpm,3,50,26,15,0.3,0.52,0.3142857142857143,wrong in some other way,False,False,Inductive gpt_5_6_luna,rpm,4,50,14,13,0.26,0.28,0.02702702702702703,8,False,False,Inductive gpt_5_6_luna,rpm,5,50,9,31,0.62,0.18,-1.1578947368421053,9,False,False,Inductive gpt_5_6_luna,shadow_inference,1,50,49,23,0.46,0.98,0.9629629629629629,2,False,False,Projective gpt_5_6_luna,shadow_inference,2,50,15,20,0.4,0.3,-0.16666666666666666,left,False,False,Projective gpt_5_6_luna,shadow_inference,3,50,24,14,0.28,0.48,0.2777777777777778,high,False,False,Projective gpt_5_6_luna,shadow_inference,4,50,1,21,0.42,0.02,-0.6896551724137931,same,False,False,Projective gpt_5_6_luna,shadow_inference,5,50,18,32,0.64,0.36,-0.7777777777777778,same,False,False,Projective gpt_5_6_luna,surface_topology,1,50,35,14,0.28,0.7,0.5833333333333334,2,False,False,Topological gpt_5_6_luna,surface_topology,2,50,42,39,0.78,0.84,0.2727272727272727,orientable,False,False,Topological gpt_5_6_luna,surface_topology,3,50,20,18,0.36,0.4,0.0625,0,False,False,Topological gpt_5_6_luna,surface_topology,4,50,20,14,0.28,0.4,0.16666666666666666,-2; orientable,False,False,Topological gpt_5_6_luna,surface_topology,5,50,10,20,0.4,0.2,-0.3333333333333333,-1,False,False,Topological gpt_5_6_luna,symmetry_pattern,1,50,39,25,0.5,0.78,0.56,6,False,False,Transformational gpt_5_6_luna,symmetry_pattern,2,50,29,27,0.54,0.58,0.08695652173913043,symmetric,False,False,Transformational gpt_5_6_luna,symmetry_pattern,3,50,27,14,0.28,0.54,0.3611111111111111,rotational,False,False,Transformational gpt_5_6_luna,symmetry_pattern,4,50,12,17,0.34,0.24,-0.15151515151515152,8,False,False,Transformational gpt_5_6_luna,symmetry_pattern,5,50,47,50,1.0,0.94,,yes,True,False,Transformational gpt_5_6_sol,angle_estimation,1,50,47,18,0.36,0.94,0.90625,2,False,False,Plane Geometry gpt_5_6_sol,angle_estimation,2,50,33,11,0.22,0.66,0.5641025641025641,Angle 2,False,False,Plane Geometry gpt_5_6_sol,angle_estimation,3,50,38,12,0.24,0.76,0.6842105263157895,greater than,False,False,Plane Geometry gpt_5_6_sol,angle_estimation,4,50,12,12,0.24,0.24,0.0,180,False,False,Plane Geometry gpt_5_6_sol,angle_estimation,5,50,17,14,0.28,0.34,0.08333333333333333,"190,no",False,False,Plane Geometry gpt_5_6_sol,clock_reading,1,50,47,8,0.16,0.94,0.9285714285714286,12,False,False,Physical & Mechanical gpt_5_6_sol,clock_reading,2,50,33,26,0.52,0.66,0.2916666666666667,after,False,False,Physical & Mechanical gpt_5_6_sol,clock_reading,3,50,32,2,0.04,0.64,0.625,08:03,False,False,Physical & Mechanical gpt_5_6_sol,clock_reading,4,50,5,2,0.04,0.1,0.0625,114,False,False,Physical & Mechanical gpt_5_6_sol,clock_reading,5,50,0,2,0.04,0.0,-0.041666666666666664,124,False,False,Physical & Mechanical gpt_5_6_sol,combination,1,50,21,14,0.28,0.42,0.19444444444444445,9,False,False,Transformational gpt_5_6_sol,combination,2,50,14,17,0.34,0.28,-0.09090909090909091,C,False,False,Transformational gpt_5_6_sol,combination,3,50,43,19,0.38,0.86,0.7741935483870968,yes,False,False,Transformational gpt_5_6_sol,combination,4,50,15,18,0.36,0.3,-0.09375,B,False,False,Transformational gpt_5_6_sol,combination,5,50,41,38,0.76,0.82,0.25,connected,False,False,Transformational gpt_5_6_sol,combination3d,1,50,4,11,0.22,0.08,-0.1794871794871795,12,False,False,Solid Geometry gpt_5_6_sol,combination3d,2,50,28,16,0.32,0.56,0.35294117647058826,B,False,False,Solid Geometry gpt_5_6_sol,combination3d,3,50,31,22,0.44,0.62,0.32142857142857145,yes,False,False,Solid Geometry gpt_5_6_sol,combination3d,4,50,8,11,0.22,0.16,-0.07692307692307693,D,False,False,Solid Geometry gpt_5_6_sol,combination3d,5,50,23,21,0.42,0.46,0.06896551724137931,"same shape, different angle",False,False,Solid Geometry gpt_5_6_sol,compass_bearing,1,50,50,29,0.58,1.0,1.0,3,False,False,Analytic gpt_5_6_sol,compass_bearing,2,50,50,24,0.48,1.0,1.0,south,False,False,Analytic gpt_5_6_sol,compass_bearing,3,50,33,5,0.1,0.66,0.6222222222222222,270,False,False,Analytic gpt_5_6_sol,compass_bearing,4,50,0,2,0.04,0.0,-0.041666666666666664,30 degrees counterclockwise,False,False,Analytic gpt_5_6_sol,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic gpt_5_6_sol,coordinate_geometry,1,50,50,3,0.06,1.0,1.0,"(-6, -8)",False,False,Analytic gpt_5_6_sol,coordinate_geometry,2,50,22,5,0.1,0.44,0.37777777777777777,4.47,False,False,Analytic gpt_5_6_sol,coordinate_geometry,3,50,45,20,0.4,0.9,0.8333333333333334,A and B,False,False,Analytic gpt_5_6_sol,coordinate_geometry,4,50,43,12,0.24,0.86,0.8157894736842105,less than,False,False,Analytic gpt_5_6_sol,coordinate_geometry,5,50,6,5,0.1,0.12,0.022222222222222223,3.00,False,False,Analytic gpt_5_6_sol,cube_net,1,50,47,50,1.0,0.94,,6,True,False,Solid Geometry gpt_5_6_sol,cube_net,2,50,50,20,0.4,1.0,1.0,E,False,False,Solid Geometry gpt_5_6_sol,cube_net,3,50,31,10,0.2,0.62,0.525,1,False,False,Solid Geometry gpt_5_6_sol,cube_net,4,50,45,27,0.54,0.9,0.782608695652174,adjacent,False,False,Solid Geometry gpt_5_6_sol,cube_net,5,50,42,43,0.86,0.84,-0.14285714285714285,no,False,False,Solid Geometry gpt_5_6_sol,cube_structure,1,50,6,9,0.18,0.12,-0.07317073170731707,12,False,False,Solid Geometry gpt_5_6_sol,cube_structure,2,50,4,12,0.24,0.08,-0.21052631578947367,10,False,False,Solid Geometry gpt_5_6_sol,cube_structure,3,50,34,29,0.58,0.68,0.23809523809523808,1,False,False,Solid Geometry gpt_5_6_sol,cube_structure,4,50,18,20,0.4,0.36,-0.06666666666666667,1,False,False,Solid Geometry gpt_5_6_sol,cube_structure,5,50,1,17,0.34,0.02,-0.48484848484848486,1,False,False,Solid Geometry gpt_5_6_sol,depth_height,1,50,50,20,0.4,1.0,1.0,3,False,False,Solid Geometry gpt_5_6_sol,depth_height,2,50,19,14,0.28,0.38,0.1388888888888889,orange,False,False,Solid Geometry gpt_5_6_sol,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry gpt_5_6_sol,depth_height,4,50,17,3,0.06,0.34,0.2978723404255319,0.65,False,False,Solid Geometry gpt_5_6_sol,depth_height,5,50,36,16,0.32,0.72,0.5882352941176471,smaller,False,False,Solid Geometry gpt_5_6_sol,embedded_figures,1,50,4,14,0.28,0.08,-0.2777777777777778,14,False,False,Transformational gpt_5_6_sol,embedded_figures,2,50,19,18,0.36,0.38,0.03125,6,False,False,Transformational gpt_5_6_sol,embedded_figures,3,50,23,20,0.4,0.46,0.1,D,False,False,Transformational gpt_5_6_sol,embedded_figures,4,50,8,14,0.28,0.16,-0.16666666666666666,8,False,False,Transformational gpt_5_6_sol,embedded_figures,5,50,28,28,0.56,0.56,0.0,open,False,False,Transformational gpt_5_6_sol,fbd,1,50,50,17,0.34,1.0,1.0,4,False,False,Physical & Mechanical gpt_5_6_sol,fbd,2,50,37,12,0.24,0.74,0.6578947368421053,W,False,False,Physical & Mechanical gpt_5_6_sol,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical gpt_5_6_sol,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical gpt_5_6_sol,fbd,5,50,6,20,0.4,0.12,-0.4666666666666667,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical gpt_5_6_sol,fold_punch,1,50,50,28,0.56,1.0,1.0,3,False,False,Transformational gpt_5_6_sol,fold_punch,2,50,36,32,0.64,0.72,0.2222222222222222,8,False,False,Transformational gpt_5_6_sol,fold_punch,3,50,12,13,0.26,0.24,-0.02702702702702703,A,False,False,Transformational gpt_5_6_sol,fold_punch,4,50,25,16,0.32,0.5,0.2647058823529412,A,False,False,Transformational gpt_5_6_sol,fold_punch,5,50,38,24,0.48,0.76,0.5384615384615384,16,False,False,Transformational gpt_5_6_sol,gauge_reading,1,50,50,35,0.7,1.0,1.0,0,False,False,Physical & Mechanical gpt_5_6_sol,gauge_reading,2,50,50,25,0.5,1.0,1.0,lower half,False,False,Physical & Mechanical gpt_5_6_sol,gauge_reading,3,50,40,5,0.1,0.8,0.7777777777777778,100,False,False,Physical & Mechanical gpt_5_6_sol,gauge_reading,4,50,11,34,0.68,0.22,-1.4375,no danger zone marked,False,False,Physical & Mechanical gpt_5_6_sol,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical gpt_5_6_sol,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical gpt_5_6_sol,gear_train,2,50,0,50,1.0,0.0,,opposite,True,False,Physical & Mechanical gpt_5_6_sol,gear_train,3,50,48,15,0.3,0.96,0.9428571428571428,C,False,False,Physical & Mechanical gpt_5_6_sol,gear_train,4,50,42,2,0.04,0.84,0.8333333333333334,26.2,False,False,Physical & Mechanical gpt_5_6_sol,gear_train,5,50,16,19,0.38,0.32,-0.0967741935483871,decrease; direction unchanged,False,False,Physical & Mechanical gpt_5_6_sol,hex_pathfinding,1,50,19,8,0.16,0.38,0.2619047619047619,7,False,False,Topological gpt_5_6_sol,hex_pathfinding,2,50,48,25,0.5,0.96,0.92,hole,False,False,Topological gpt_5_6_sol,hex_pathfinding,3,50,14,11,0.22,0.28,0.07692307692307693,6,False,False,Topological gpt_5_6_sol,hex_pathfinding,4,50,0,13,0.26,0.0,-0.35135135135135137,unique,False,False,Topological gpt_5_6_sol,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological gpt_5_6_sol,impossible_object,1,50,5,27,0.54,0.1,-0.9565217391304348,5,False,False,Optical gpt_5_6_sol,impossible_object,2,50,17,31,0.62,0.34,-0.7368421052631579,yes,False,False,Optical gpt_5_6_sol,impossible_object,3,50,14,12,0.24,0.28,0.05263157894736842,D,False,False,Optical gpt_5_6_sol,impossible_object,4,50,3,16,0.32,0.06,-0.38235294117647056,8,False,False,Optical gpt_5_6_sol,impossible_object,5,50,2,34,0.68,0.04,-2.0,already constructible,False,False,Optical gpt_5_6_sol,laser_mirror,1,50,43,18,0.36,0.86,0.78125,3,False,False,Physical & Mechanical gpt_5_6_sol,laser_mirror,2,50,43,38,0.76,0.86,0.4166666666666667,yes,False,False,Physical & Mechanical gpt_5_6_sol,laser_mirror,3,50,4,24,0.48,0.08,-0.7692307692307693,1,False,False,Physical & Mechanical gpt_5_6_sol,laser_mirror,4,50,2,5,0.1,0.04,-0.06666666666666667,"left, position 2",False,False,Physical & Mechanical gpt_5_6_sol,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical gpt_5_6_sol,line_intersection,1,50,37,17,0.34,0.74,0.6060606060606061,2,False,False,Plane Geometry gpt_5_6_sol,line_intersection,2,50,48,15,0.3,0.96,0.9428571428571428,0,False,False,Plane Geometry gpt_5_6_sol,line_intersection,3,50,48,15,0.3,0.96,0.9428571428571428,blue,False,False,Plane Geometry gpt_5_6_sol,line_intersection,4,50,43,12,0.24,0.86,0.8157894736842105,even,False,False,Plane Geometry gpt_5_6_sol,line_intersection,5,50,33,23,0.46,0.66,0.37037037037037035,0,False,False,Plane Geometry gpt_5_6_sol,nested_hexagons,1,50,25,8,0.16,0.5,0.40476190476190477,4,False,False,Plane Geometry gpt_5_6_sol,nested_hexagons,2,50,30,26,0.52,0.6,0.16666666666666666,constant,False,False,Plane Geometry gpt_5_6_sol,nested_hexagons,3,50,3,4,0.08,0.06,-0.021739130434782608,6.6,False,False,Plane Geometry gpt_5_6_sol,nested_hexagons,4,50,0,6,0.12,0.0,-0.13636363636363635,0,False,False,Plane Geometry gpt_5_6_sol,nested_hexagons,5,50,42,30,0.6,0.84,0.6,no,False,False,Plane Geometry gpt_5_6_sol,nested_squares,1,50,24,11,0.22,0.48,0.3333333333333333,9,False,False,Plane Geometry gpt_5_6_sol,nested_squares,2,50,22,26,0.52,0.44,-0.16666666666666666,constant,False,False,Plane Geometry gpt_5_6_sol,nested_squares,3,50,1,3,0.06,0.02,-0.0425531914893617,4.9,False,False,Plane Geometry gpt_5_6_sol,nested_squares,4,50,5,7,0.14,0.1,-0.046511627906976744,0,False,False,Plane Geometry gpt_5_6_sol,nested_squares,5,50,42,26,0.52,0.84,0.6666666666666666,yes,False,False,Plane Geometry gpt_5_6_sol,nested_triangles,1,50,15,9,0.18,0.3,0.14634146341463414,4,False,False,Plane Geometry gpt_5_6_sol,nested_triangles,2,50,22,31,0.62,0.44,-0.47368421052631576,constant,False,False,Plane Geometry gpt_5_6_sol,nested_triangles,3,50,2,5,0.1,0.04,-0.06666666666666667,4.9,False,False,Plane Geometry gpt_5_6_sol,nested_triangles,4,50,3,3,0.06,0.06,0.0,0,False,False,Plane Geometry gpt_5_6_sol,nested_triangles,5,50,41,28,0.56,0.82,0.5909090909090909,yes,False,False,Plane Geometry gpt_5_6_sol,occluded_pattern,1,50,41,10,0.2,0.82,0.775,8,False,False,Projective gpt_5_6_sol,occluded_pattern,2,50,24,9,0.18,0.48,0.36585365853658536,10,False,False,Projective gpt_5_6_sol,occluded_pattern,3,50,31,17,0.34,0.62,0.42424242424242425,grid,False,False,Projective gpt_5_6_sol,occluded_pattern,4,50,18,18,0.36,0.36,0.0,2,False,False,Projective gpt_5_6_sol,occluded_pattern,5,50,6,10,0.2,0.12,-0.1,11,False,False,Projective gpt_5_6_sol,optical_illusion,1,50,50,50,1.0,1.0,,2,True,False,Optical gpt_5_6_sol,optical_illusion,2,50,39,29,0.58,0.78,0.47619047619047616,B,False,False,Optical gpt_5_6_sol,optical_illusion,3,50,38,23,0.46,0.76,0.5555555555555556,equal,False,False,Optical gpt_5_6_sol,optical_illusion,4,50,23,23,0.46,0.46,0.0,0,False,False,Optical gpt_5_6_sol,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical gpt_5_6_sol,orthographic,1,50,35,14,0.28,0.7,0.5833333333333334,5,False,False,Solid Geometry gpt_5_6_sol,orthographic,2,50,20,9,0.18,0.4,0.2682926829268293,10,False,False,Solid Geometry gpt_5_6_sol,orthographic,3,50,42,19,0.38,0.84,0.7419354838709677,top,False,False,Solid Geometry gpt_5_6_sol,orthographic,4,50,23,21,0.42,0.46,0.06896551724137931,unique,False,False,Solid Geometry gpt_5_6_sol,orthographic,5,50,18,50,1.0,0.36,,front and side,True,False,Solid Geometry gpt_5_6_sol,overlap_circles,1,50,31,8,0.16,0.62,0.5476190476190477,10,False,False,Transformational gpt_5_6_sol,overlap_circles,2,50,30,24,0.48,0.6,0.23076923076923078,no,False,False,Transformational gpt_5_6_sol,overlap_circles,3,50,21,10,0.2,0.42,0.275,4,False,False,Transformational gpt_5_6_sol,overlap_circles,4,50,14,12,0.24,0.28,0.05263157894736842,0,False,False,Transformational gpt_5_6_sol,overlap_circles,5,50,6,7,0.14,0.12,-0.023255813953488372,3,False,False,Transformational gpt_5_6_sol,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical gpt_5_6_sol,physical_stability,2,50,50,33,0.66,1.0,1.0,right,False,False,Physical & Mechanical gpt_5_6_sol,physical_stability,3,50,35,21,0.42,0.7,0.4827586206896552,D,False,False,Physical & Mechanical gpt_5_6_sol,physical_stability,4,50,16,17,0.34,0.32,-0.030303030303030304,stable,False,False,Physical & Mechanical gpt_5_6_sol,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical gpt_5_6_sol,polyhedron,1,50,21,12,0.24,0.42,0.23684210526315788,12,False,False,Solid Geometry gpt_5_6_sol,polyhedron,2,50,45,45,0.9,0.9,0.0,convex,False,False,Solid Geometry gpt_5_6_sol,polyhedron,3,50,19,13,0.26,0.38,0.16216216216216217,mixed,False,False,Solid Geometry gpt_5_6_sol,polyhedron,4,50,29,19,0.38,0.58,0.3225806451612903,no,False,False,Solid Geometry gpt_5_6_sol,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry gpt_5_6_sol,projectile_motion,1,50,49,3,0.06,0.98,0.9787234042553191,24,False,False,Physical & Mechanical gpt_5_6_sol,projectile_motion,2,50,39,28,0.56,0.78,0.5,no,False,False,Physical & Mechanical gpt_5_6_sol,projectile_motion,3,50,2,2,0.04,0.04,0.0,30.7,False,False,Physical & Mechanical gpt_5_6_sol,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical gpt_5_6_sol,projectile_motion,5,50,42,41,0.82,0.84,0.1111111111111111,increase,False,False,Physical & Mechanical gpt_5_6_sol,rotation_matching,1,50,41,16,0.32,0.82,0.7352941176470589,7,False,False,Transformational gpt_5_6_sol,rotation_matching,2,50,8,14,0.28,0.16,-0.16666666666666666,C,False,False,Transformational gpt_5_6_sol,rotation_matching,3,50,8,11,0.22,0.16,-0.07692307692307693,90,False,False,Transformational gpt_5_6_sol,rotation_matching,4,50,10,20,0.4,0.2,-0.3333333333333333,A,False,False,Transformational gpt_5_6_sol,rotation_matching,5,50,50,11,0.22,1.0,1.0,315,False,False,Transformational gpt_5_6_sol,route,1,50,36,15,0.3,0.72,0.6,6,False,False,Topological gpt_5_6_sol,route,2,50,9,29,0.58,0.18,-0.9523809523809523,1,False,False,Topological gpt_5_6_sol,route,3,50,18,6,0.12,0.36,0.2727272727272727,2,False,False,Topological gpt_5_6_sol,route,4,50,1,3,0.06,0.02,-0.0425531914893617,BE,False,False,Topological gpt_5_6_sol,route,5,50,11,12,0.24,0.22,-0.02631578947368421,4,False,False,Topological gpt_5_6_sol,rpm,1,50,50,22,0.44,1.0,1.0,1,False,False,Inductive gpt_5_6_sol,rpm,2,50,44,9,0.18,0.88,0.8536585365853658,2,False,False,Inductive gpt_5_6_sol,rpm,3,50,33,15,0.3,0.66,0.5142857142857142,wrong in some other way,False,False,Inductive gpt_5_6_sol,rpm,4,50,16,13,0.26,0.32,0.08108108108108109,8,False,False,Inductive gpt_5_6_sol,rpm,5,50,15,31,0.62,0.3,-0.8421052631578947,9,False,False,Inductive gpt_5_6_sol,shadow_inference,1,50,49,23,0.46,0.98,0.9629629629629629,2,False,False,Projective gpt_5_6_sol,shadow_inference,2,50,31,20,0.4,0.62,0.36666666666666664,left,False,False,Projective gpt_5_6_sol,shadow_inference,3,50,27,14,0.28,0.54,0.3611111111111111,high,False,False,Projective gpt_5_6_sol,shadow_inference,4,50,6,21,0.42,0.12,-0.5172413793103449,same,False,False,Projective gpt_5_6_sol,shadow_inference,5,50,6,32,0.64,0.12,-1.4444444444444444,same,False,False,Projective gpt_5_6_sol,surface_topology,1,50,38,14,0.28,0.76,0.6666666666666666,2,False,False,Topological gpt_5_6_sol,surface_topology,2,50,44,39,0.78,0.88,0.45454545454545453,orientable,False,False,Topological gpt_5_6_sol,surface_topology,3,50,21,18,0.36,0.42,0.09375,0,False,False,Topological gpt_5_6_sol,surface_topology,4,50,43,14,0.28,0.86,0.8055555555555556,-2; orientable,False,False,Topological gpt_5_6_sol,surface_topology,5,50,20,20,0.4,0.4,0.0,-1,False,False,Topological gpt_5_6_sol,symmetry_pattern,1,50,29,25,0.5,0.58,0.16,6,False,False,Transformational gpt_5_6_sol,symmetry_pattern,2,50,37,27,0.54,0.74,0.43478260869565216,symmetric,False,False,Transformational gpt_5_6_sol,symmetry_pattern,3,50,35,14,0.28,0.7,0.5833333333333334,rotational,False,False,Transformational gpt_5_6_sol,symmetry_pattern,4,50,16,17,0.34,0.32,-0.030303030303030304,8,False,False,Transformational gpt_5_6_sol,symmetry_pattern,5,50,50,50,1.0,1.0,,yes,True,False,Transformational grok_4_6,angle_estimation,1,50,47,18,0.36,0.94,0.90625,2,False,False,Plane Geometry grok_4_6,angle_estimation,2,50,38,11,0.22,0.76,0.6923076923076923,Angle 2,False,False,Plane Geometry grok_4_6,angle_estimation,3,50,36,12,0.24,0.72,0.631578947368421,greater than,False,False,Plane Geometry grok_4_6,angle_estimation,4,50,17,12,0.24,0.34,0.13157894736842105,180,False,False,Plane Geometry grok_4_6,angle_estimation,5,50,21,14,0.28,0.42,0.19444444444444445,"190,no",False,False,Plane Geometry grok_4_6,clock_reading,1,50,44,8,0.16,0.88,0.8571428571428571,12,False,False,Physical & Mechanical grok_4_6,clock_reading,2,50,45,26,0.52,0.9,0.7916666666666666,after,False,False,Physical & Mechanical grok_4_6,clock_reading,3,50,9,2,0.04,0.18,0.14583333333333334,08:03,False,False,Physical & Mechanical grok_4_6,clock_reading,4,50,13,2,0.04,0.26,0.22916666666666666,114,False,False,Physical & Mechanical grok_4_6,clock_reading,5,50,14,2,0.04,0.28,0.25,124,False,False,Physical & Mechanical grok_4_6,combination,1,50,6,14,0.28,0.12,-0.2222222222222222,9,False,False,Transformational grok_4_6,combination,2,50,22,17,0.34,0.44,0.15151515151515152,C,False,False,Transformational grok_4_6,combination,3,50,43,19,0.38,0.86,0.7741935483870968,yes,False,False,Transformational grok_4_6,combination,4,50,16,18,0.36,0.32,-0.0625,B,False,False,Transformational grok_4_6,combination,5,50,48,38,0.76,0.96,0.8333333333333334,connected,False,False,Transformational grok_4_6,combination3d,1,50,2,11,0.22,0.04,-0.23076923076923078,12,False,False,Solid Geometry grok_4_6,combination3d,2,50,23,16,0.32,0.46,0.20588235294117646,B,False,False,Solid Geometry grok_4_6,combination3d,3,50,35,22,0.44,0.7,0.4642857142857143,yes,False,False,Solid Geometry grok_4_6,combination3d,4,50,6,11,0.22,0.12,-0.1282051282051282,D,False,False,Solid Geometry grok_4_6,combination3d,5,50,21,21,0.42,0.42,0.0,"same shape, different angle",False,False,Solid Geometry grok_4_6,compass_bearing,1,50,50,29,0.58,1.0,1.0,3,False,False,Analytic grok_4_6,compass_bearing,2,50,49,24,0.48,0.98,0.9615384615384616,south,False,False,Analytic grok_4_6,compass_bearing,3,50,28,5,0.1,0.56,0.5111111111111111,270,False,False,Analytic grok_4_6,compass_bearing,4,50,0,2,0.04,0.0,-0.041666666666666664,30 degrees counterclockwise,False,False,Analytic grok_4_6,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic grok_4_6,coordinate_geometry,1,50,42,3,0.06,0.84,0.8297872340425532,"(-6, -8)",False,False,Analytic grok_4_6,coordinate_geometry,2,50,45,5,0.1,0.9,0.8888888888888888,4.47,False,False,Analytic grok_4_6,coordinate_geometry,3,50,16,20,0.4,0.32,-0.13333333333333333,A and B,False,False,Analytic grok_4_6,coordinate_geometry,4,50,49,12,0.24,0.98,0.9736842105263158,less than,False,False,Analytic grok_4_6,coordinate_geometry,5,50,43,5,0.1,0.86,0.8444444444444444,3.00,False,False,Analytic grok_4_6,cube_net,1,50,50,50,1.0,1.0,,6,True,False,Solid Geometry grok_4_6,cube_net,2,50,50,20,0.4,1.0,1.0,E,False,False,Solid Geometry grok_4_6,cube_net,3,50,49,10,0.2,0.98,0.975,1,False,False,Solid Geometry grok_4_6,cube_net,4,50,50,27,0.54,1.0,1.0,adjacent,False,False,Solid Geometry grok_4_6,cube_net,5,50,50,43,0.86,1.0,1.0,no,False,False,Solid Geometry grok_4_6,cube_structure,1,50,5,9,0.18,0.1,-0.0975609756097561,12,False,False,Solid Geometry grok_4_6,cube_structure,2,50,5,12,0.24,0.1,-0.18421052631578946,10,False,False,Solid Geometry grok_4_6,cube_structure,3,50,41,29,0.58,0.82,0.5714285714285714,1,False,False,Solid Geometry grok_4_6,cube_structure,4,50,12,20,0.4,0.24,-0.26666666666666666,1,False,False,Solid Geometry grok_4_6,cube_structure,5,50,22,17,0.34,0.44,0.15151515151515152,1,False,False,Solid Geometry grok_4_6,depth_height,1,50,50,20,0.4,1.0,1.0,3,False,False,Solid Geometry grok_4_6,depth_height,2,50,0,14,0.28,0.0,-0.3888888888888889,orange,False,False,Solid Geometry grok_4_6,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry grok_4_6,depth_height,4,50,9,3,0.06,0.18,0.1276595744680851,0.65,False,False,Solid Geometry grok_4_6,depth_height,5,50,35,16,0.32,0.7,0.5588235294117647,smaller,False,False,Solid Geometry grok_4_6,embedded_figures,1,50,3,14,0.28,0.06,-0.3055555555555556,14,False,False,Transformational grok_4_6,embedded_figures,2,50,25,18,0.36,0.5,0.21875,6,False,False,Transformational grok_4_6,embedded_figures,3,50,27,20,0.4,0.54,0.23333333333333334,D,False,False,Transformational grok_4_6,embedded_figures,4,50,19,14,0.28,0.38,0.1388888888888889,8,False,False,Transformational grok_4_6,embedded_figures,5,50,28,28,0.56,0.56,0.0,open,False,False,Transformational grok_4_6,fbd,1,50,49,17,0.34,0.98,0.9696969696969697,4,False,False,Physical & Mechanical grok_4_6,fbd,2,50,39,12,0.24,0.78,0.7105263157894737,W,False,False,Physical & Mechanical grok_4_6,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical grok_4_6,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical grok_4_6,fbd,5,50,8,20,0.4,0.16,-0.4,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical grok_4_6,fold_punch,1,50,50,28,0.56,1.0,1.0,3,False,False,Transformational grok_4_6,fold_punch,2,50,49,32,0.64,0.98,0.9444444444444444,8,False,False,Transformational grok_4_6,fold_punch,3,50,16,13,0.26,0.32,0.08108108108108109,A,False,False,Transformational grok_4_6,fold_punch,4,50,27,16,0.32,0.54,0.3235294117647059,A,False,False,Transformational grok_4_6,fold_punch,5,50,49,24,0.48,0.98,0.9615384615384616,16,False,False,Transformational grok_4_6,gauge_reading,1,50,50,35,0.7,1.0,1.0,0,False,False,Physical & Mechanical grok_4_6,gauge_reading,2,50,50,25,0.5,1.0,1.0,lower half,False,False,Physical & Mechanical grok_4_6,gauge_reading,3,50,34,5,0.1,0.68,0.6444444444444445,100,False,False,Physical & Mechanical grok_4_6,gauge_reading,4,50,32,34,0.68,0.64,-0.125,no danger zone marked,False,False,Physical & Mechanical grok_4_6,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical grok_4_6,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical grok_4_6,gear_train,2,50,0,50,1.0,0.0,,opposite,True,False,Physical & Mechanical grok_4_6,gear_train,3,50,50,15,0.3,1.0,1.0,C,False,False,Physical & Mechanical grok_4_6,gear_train,4,50,44,2,0.04,0.88,0.875,26.2,False,False,Physical & Mechanical grok_4_6,gear_train,5,50,3,19,0.38,0.06,-0.5161290322580645,decrease; direction unchanged,False,False,Physical & Mechanical grok_4_6,hex_pathfinding,1,50,9,8,0.16,0.18,0.023809523809523808,7,False,False,Topological grok_4_6,hex_pathfinding,2,50,36,25,0.5,0.72,0.44,hole,False,False,Topological grok_4_6,hex_pathfinding,3,50,3,11,0.22,0.06,-0.20512820512820512,6,False,False,Topological grok_4_6,hex_pathfinding,4,50,1,13,0.26,0.02,-0.32432432432432434,unique,False,False,Topological grok_4_6,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological grok_4_6,impossible_object,1,50,3,27,0.54,0.06,-1.0434782608695652,5,False,False,Optical grok_4_6,impossible_object,2,50,19,31,0.62,0.38,-0.631578947368421,yes,False,False,Optical grok_4_6,impossible_object,3,50,11,12,0.24,0.22,-0.02631578947368421,D,False,False,Optical grok_4_6,impossible_object,4,50,2,16,0.32,0.04,-0.4117647058823529,8,False,False,Optical grok_4_6,impossible_object,5,50,5,34,0.68,0.1,-1.8125,already constructible,False,False,Optical grok_4_6,laser_mirror,1,50,50,18,0.36,1.0,1.0,3,False,False,Physical & Mechanical grok_4_6,laser_mirror,2,50,50,38,0.76,1.0,1.0,yes,False,False,Physical & Mechanical grok_4_6,laser_mirror,3,50,47,24,0.48,0.94,0.8846153846153846,1,False,False,Physical & Mechanical grok_4_6,laser_mirror,4,50,0,5,0.1,0.0,-0.1111111111111111,"left, position 2",False,False,Physical & Mechanical grok_4_6,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical grok_4_6,line_intersection,1,50,41,17,0.34,0.82,0.7272727272727273,2,False,False,Plane Geometry grok_4_6,line_intersection,2,50,47,15,0.3,0.94,0.9142857142857143,0,False,False,Plane Geometry grok_4_6,line_intersection,3,50,48,15,0.3,0.96,0.9428571428571428,blue,False,False,Plane Geometry grok_4_6,line_intersection,4,50,47,12,0.24,0.94,0.9210526315789473,even,False,False,Plane Geometry grok_4_6,line_intersection,5,50,36,23,0.46,0.72,0.48148148148148145,0,False,False,Plane Geometry grok_4_6,nested_hexagons,1,50,21,8,0.16,0.42,0.30952380952380953,4,False,False,Plane Geometry grok_4_6,nested_hexagons,2,50,31,26,0.52,0.62,0.20833333333333334,constant,False,False,Plane Geometry grok_4_6,nested_hexagons,3,50,2,4,0.08,0.04,-0.043478260869565216,6.6,False,False,Plane Geometry grok_4_6,nested_hexagons,4,50,1,6,0.12,0.02,-0.11363636363636363,0,False,False,Plane Geometry grok_4_6,nested_hexagons,5,50,34,30,0.6,0.68,0.2,no,False,False,Plane Geometry grok_4_6,nested_squares,1,50,16,11,0.22,0.32,0.1282051282051282,9,False,False,Plane Geometry grok_4_6,nested_squares,2,50,25,26,0.52,0.5,-0.041666666666666664,constant,False,False,Plane Geometry grok_4_6,nested_squares,3,50,3,3,0.06,0.06,0.0,4.9,False,False,Plane Geometry grok_4_6,nested_squares,4,50,1,7,0.14,0.02,-0.13953488372093023,0,False,False,Plane Geometry grok_4_6,nested_squares,5,50,36,26,0.52,0.72,0.4166666666666667,yes,False,False,Plane Geometry grok_4_6,nested_triangles,1,50,24,9,0.18,0.48,0.36585365853658536,4,False,False,Plane Geometry grok_4_6,nested_triangles,2,50,33,31,0.62,0.66,0.10526315789473684,constant,False,False,Plane Geometry grok_4_6,nested_triangles,3,50,2,5,0.1,0.04,-0.06666666666666667,4.9,False,False,Plane Geometry grok_4_6,nested_triangles,4,50,2,3,0.06,0.04,-0.02127659574468085,0,False,False,Plane Geometry grok_4_6,nested_triangles,5,50,28,28,0.56,0.56,0.0,yes,False,False,Plane Geometry grok_4_6,occluded_pattern,1,50,38,10,0.2,0.76,0.7,8,False,False,Projective grok_4_6,occluded_pattern,2,50,21,9,0.18,0.42,0.2926829268292683,10,False,False,Projective grok_4_6,occluded_pattern,3,50,29,17,0.34,0.58,0.36363636363636365,grid,False,False,Projective grok_4_6,occluded_pattern,4,50,11,18,0.36,0.22,-0.21875,2,False,False,Projective grok_4_6,occluded_pattern,5,50,12,10,0.2,0.24,0.05,11,False,False,Projective grok_4_6,optical_illusion,1,50,50,50,1.0,1.0,,2,True,False,Optical grok_4_6,optical_illusion,2,50,50,29,0.58,1.0,1.0,B,False,False,Optical grok_4_6,optical_illusion,3,50,23,23,0.46,0.46,0.0,equal,False,False,Optical grok_4_6,optical_illusion,4,50,23,23,0.46,0.46,0.0,0,False,False,Optical grok_4_6,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical grok_4_6,orthographic,1,50,15,14,0.28,0.3,0.027777777777777776,5,False,False,Solid Geometry grok_4_6,orthographic,2,50,11,9,0.18,0.22,0.04878048780487805,10,False,False,Solid Geometry grok_4_6,orthographic,3,50,36,19,0.38,0.72,0.5483870967741935,top,False,False,Solid Geometry grok_4_6,orthographic,4,50,28,21,0.42,0.56,0.2413793103448276,unique,False,False,Solid Geometry grok_4_6,orthographic,5,50,19,50,1.0,0.38,,front and side,True,False,Solid Geometry grok_4_6,overlap_circles,1,50,19,8,0.16,0.38,0.2619047619047619,10,False,False,Transformational grok_4_6,overlap_circles,2,50,34,24,0.48,0.68,0.38461538461538464,no,False,False,Transformational grok_4_6,overlap_circles,3,50,15,10,0.2,0.3,0.125,4,False,False,Transformational grok_4_6,overlap_circles,4,50,19,12,0.24,0.38,0.18421052631578946,0,False,False,Transformational grok_4_6,overlap_circles,5,50,4,7,0.14,0.08,-0.06976744186046512,3,False,False,Transformational grok_4_6,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical grok_4_6,physical_stability,2,50,39,33,0.66,0.78,0.35294117647058826,right,False,False,Physical & Mechanical grok_4_6,physical_stability,3,50,45,21,0.42,0.9,0.8275862068965517,D,False,False,Physical & Mechanical grok_4_6,physical_stability,4,50,5,17,0.34,0.1,-0.36363636363636365,stable,False,False,Physical & Mechanical grok_4_6,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical grok_4_6,polyhedron,1,50,23,12,0.24,0.46,0.2894736842105263,12,False,False,Solid Geometry grok_4_6,polyhedron,2,50,46,45,0.9,0.92,0.2,convex,False,False,Solid Geometry grok_4_6,polyhedron,3,50,15,13,0.26,0.3,0.05405405405405406,mixed,False,False,Solid Geometry grok_4_6,polyhedron,4,50,38,19,0.38,0.76,0.6129032258064516,no,False,False,Solid Geometry grok_4_6,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry grok_4_6,projectile_motion,1,50,49,3,0.06,0.98,0.9787234042553191,24,False,False,Physical & Mechanical grok_4_6,projectile_motion,2,50,50,28,0.56,1.0,1.0,no,False,False,Physical & Mechanical grok_4_6,projectile_motion,3,50,47,2,0.04,0.94,0.9375,30.7,False,False,Physical & Mechanical grok_4_6,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical grok_4_6,projectile_motion,5,50,42,41,0.82,0.84,0.1111111111111111,increase,False,False,Physical & Mechanical grok_4_6,rotation_matching,1,50,34,16,0.32,0.68,0.5294117647058824,7,False,False,Transformational grok_4_6,rotation_matching,2,50,16,14,0.28,0.32,0.05555555555555555,C,False,False,Transformational grok_4_6,rotation_matching,3,50,13,11,0.22,0.26,0.05128205128205128,90,False,False,Transformational grok_4_6,rotation_matching,4,50,6,20,0.4,0.12,-0.4666666666666667,A,False,False,Transformational grok_4_6,rotation_matching,5,50,50,11,0.22,1.0,1.0,315,False,False,Transformational grok_4_6,route,1,50,36,15,0.3,0.72,0.6,6,False,False,Topological grok_4_6,route,2,50,9,29,0.58,0.18,-0.9523809523809523,1,False,False,Topological grok_4_6,route,3,50,15,6,0.12,0.3,0.20454545454545456,2,False,False,Topological grok_4_6,route,4,50,3,3,0.06,0.06,0.0,BE,False,False,Topological grok_4_6,route,5,50,16,12,0.24,0.32,0.10526315789473684,4,False,False,Topological grok_4_6,rpm,1,50,50,22,0.44,1.0,1.0,1,False,False,Inductive grok_4_6,rpm,2,50,41,9,0.18,0.82,0.7804878048780488,2,False,False,Inductive grok_4_6,rpm,3,50,32,15,0.3,0.64,0.4857142857142857,wrong in some other way,False,False,Inductive grok_4_6,rpm,4,50,21,13,0.26,0.42,0.21621621621621623,8,False,False,Inductive grok_4_6,rpm,5,50,19,31,0.62,0.38,-0.631578947368421,9,False,False,Inductive grok_4_6,shadow_inference,1,50,47,23,0.46,0.94,0.8888888888888888,2,False,False,Projective grok_4_6,shadow_inference,2,50,35,20,0.4,0.7,0.5,left,False,False,Projective grok_4_6,shadow_inference,3,50,36,14,0.28,0.72,0.6111111111111112,high,False,False,Projective grok_4_6,shadow_inference,4,50,10,21,0.42,0.2,-0.3793103448275862,same,False,False,Projective grok_4_6,shadow_inference,5,50,18,32,0.64,0.36,-0.7777777777777778,same,False,False,Projective grok_4_6,surface_topology,1,50,32,14,0.28,0.64,0.5,2,False,False,Topological grok_4_6,surface_topology,2,50,43,39,0.78,0.86,0.36363636363636365,orientable,False,False,Topological grok_4_6,surface_topology,3,50,23,18,0.36,0.46,0.15625,0,False,False,Topological grok_4_6,surface_topology,4,50,37,14,0.28,0.74,0.6388888888888888,-2; orientable,False,False,Topological grok_4_6,surface_topology,5,50,31,20,0.4,0.62,0.36666666666666664,-1,False,False,Topological grok_4_6,symmetry_pattern,1,50,41,25,0.5,0.82,0.64,6,False,False,Transformational grok_4_6,symmetry_pattern,2,50,31,27,0.54,0.62,0.17391304347826086,symmetric,False,False,Transformational grok_4_6,symmetry_pattern,3,50,32,14,0.28,0.64,0.5,rotational,False,False,Transformational grok_4_6,symmetry_pattern,4,50,6,17,0.34,0.12,-0.3333333333333333,8,False,False,Transformational grok_4_6,symmetry_pattern,5,50,46,50,1.0,0.92,,yes,True,False,Transformational inking,angle_estimation,1,50,47,18,0.36,0.94,0.90625,2,False,False,Plane Geometry inking,angle_estimation,2,50,23,11,0.22,0.46,0.3076923076923077,Angle 2,False,False,Plane Geometry inking,angle_estimation,3,50,23,12,0.24,0.46,0.2894736842105263,greater than,False,False,Plane Geometry inking,angle_estimation,4,50,14,12,0.24,0.28,0.05263157894736842,180,False,False,Plane Geometry inking,angle_estimation,5,50,18,14,0.28,0.36,0.1111111111111111,"190,no",False,False,Plane Geometry inking,clock_reading,1,50,25,8,0.16,0.5,0.40476190476190477,12,False,False,Physical & Mechanical inking,clock_reading,2,50,21,26,0.52,0.42,-0.20833333333333334,after,False,False,Physical & Mechanical inking,clock_reading,3,50,3,2,0.04,0.06,0.020833333333333332,08:03,False,False,Physical & Mechanical inking,clock_reading,4,50,0,2,0.04,0.0,-0.041666666666666664,114,False,False,Physical & Mechanical inking,clock_reading,5,50,1,2,0.04,0.02,-0.020833333333333332,124,False,False,Physical & Mechanical inking,combination,1,50,26,14,0.28,0.52,0.3333333333333333,9,False,False,Transformational inking,combination,2,50,12,17,0.34,0.24,-0.15151515151515152,C,False,False,Transformational inking,combination,3,50,21,19,0.38,0.42,0.06451612903225806,yes,False,False,Transformational inking,combination,4,50,14,18,0.36,0.28,-0.125,B,False,False,Transformational inking,combination,5,50,43,38,0.76,0.86,0.4166666666666667,connected,False,False,Transformational inking,combination3d,1,50,0,11,0.22,0.0,-0.28205128205128205,12,False,False,Solid Geometry inking,combination3d,2,50,21,16,0.32,0.42,0.14705882352941177,B,False,False,Solid Geometry inking,combination3d,3,50,25,22,0.44,0.5,0.10714285714285714,yes,False,False,Solid Geometry inking,combination3d,4,50,5,11,0.22,0.1,-0.15384615384615385,D,False,False,Solid Geometry inking,combination3d,5,50,21,21,0.42,0.42,0.0,"same shape, different angle",False,False,Solid Geometry inking,compass_bearing,1,50,49,29,0.58,0.98,0.9523809523809523,3,False,False,Analytic inking,compass_bearing,2,50,44,24,0.48,0.88,0.7692307692307693,south,False,False,Analytic inking,compass_bearing,3,50,6,5,0.1,0.12,0.022222222222222223,270,False,False,Analytic inking,compass_bearing,4,50,0,2,0.04,0.0,-0.041666666666666664,30 degrees counterclockwise,False,False,Analytic inking,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic inking,coordinate_geometry,1,50,14,3,0.06,0.28,0.23404255319148937,"(-6, -8)",False,False,Analytic inking,coordinate_geometry,2,50,3,5,0.1,0.06,-0.044444444444444446,4.47,False,False,Analytic inking,coordinate_geometry,3,50,27,20,0.4,0.54,0.23333333333333334,A and B,False,False,Analytic inking,coordinate_geometry,4,50,37,12,0.24,0.74,0.6578947368421053,less than,False,False,Analytic inking,coordinate_geometry,5,50,2,5,0.1,0.04,-0.06666666666666667,3.00,False,False,Analytic inking,cube_net,1,50,50,50,1.0,1.0,,6,True,False,Solid Geometry inking,cube_net,2,50,50,20,0.4,1.0,1.0,E,False,False,Solid Geometry inking,cube_net,3,50,9,10,0.2,0.18,-0.025,1,False,False,Solid Geometry inking,cube_net,4,50,25,27,0.54,0.5,-0.08695652173913043,adjacent,False,False,Solid Geometry inking,cube_net,5,50,10,43,0.86,0.2,-4.714285714285714,no,False,False,Solid Geometry inking,cube_structure,1,50,4,9,0.18,0.08,-0.12195121951219512,12,False,False,Solid Geometry inking,cube_structure,2,50,4,12,0.24,0.08,-0.21052631578947367,10,False,False,Solid Geometry inking,cube_structure,3,50,32,29,0.58,0.64,0.14285714285714285,1,False,False,Solid Geometry inking,cube_structure,4,50,20,20,0.4,0.4,0.0,1,False,False,Solid Geometry inking,cube_structure,5,50,10,17,0.34,0.2,-0.21212121212121213,1,False,False,Solid Geometry inking,depth_height,1,50,49,20,0.4,0.98,0.9666666666666667,3,False,False,Solid Geometry inking,depth_height,2,50,0,14,0.28,0.0,-0.3888888888888889,orange,False,False,Solid Geometry inking,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry inking,depth_height,4,50,11,3,0.06,0.22,0.1702127659574468,0.65,False,False,Solid Geometry inking,depth_height,5,50,31,16,0.32,0.62,0.4411764705882353,smaller,False,False,Solid Geometry inking,embedded_figures,1,50,7,14,0.28,0.14,-0.19444444444444445,14,False,False,Transformational inking,embedded_figures,2,50,0,18,0.36,0.0,-0.5625,6,False,False,Transformational inking,embedded_figures,3,50,20,20,0.4,0.4,0.0,D,False,False,Transformational inking,embedded_figures,4,50,5,14,0.28,0.1,-0.25,8,False,False,Transformational inking,embedded_figures,5,50,28,28,0.56,0.56,0.0,open,False,False,Transformational inking,fbd,1,50,36,17,0.34,0.72,0.5757575757575758,4,False,False,Physical & Mechanical inking,fbd,2,50,31,12,0.24,0.62,0.5,W,False,False,Physical & Mechanical inking,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical inking,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical inking,fbd,5,50,6,20,0.4,0.12,-0.4666666666666667,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical inking,fold_punch,1,50,49,28,0.56,0.98,0.9545454545454546,3,False,False,Transformational inking,fold_punch,2,50,40,32,0.64,0.8,0.4444444444444444,8,False,False,Transformational inking,fold_punch,3,50,20,13,0.26,0.4,0.1891891891891892,A,False,False,Transformational inking,fold_punch,4,50,19,16,0.32,0.38,0.08823529411764706,A,False,False,Transformational inking,fold_punch,5,50,21,24,0.48,0.42,-0.11538461538461539,16,False,False,Transformational inking,gauge_reading,1,50,50,35,0.7,1.0,1.0,0,False,False,Physical & Mechanical inking,gauge_reading,2,50,36,25,0.5,0.72,0.44,lower half,False,False,Physical & Mechanical inking,gauge_reading,3,50,24,5,0.1,0.48,0.4222222222222222,100,False,False,Physical & Mechanical inking,gauge_reading,4,50,11,34,0.68,0.22,-1.4375,no danger zone marked,False,False,Physical & Mechanical inking,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical inking,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical inking,gear_train,2,50,0,50,1.0,0.0,,opposite,True,False,Physical & Mechanical inking,gear_train,3,50,30,15,0.3,0.6,0.42857142857142855,C,False,False,Physical & Mechanical inking,gear_train,4,50,0,2,0.04,0.0,-0.041666666666666664,26.2,False,False,Physical & Mechanical inking,gear_train,5,50,0,19,0.38,0.0,-0.6129032258064516,decrease; direction unchanged,False,False,Physical & Mechanical inking,hex_pathfinding,1,50,5,8,0.16,0.1,-0.07142857142857142,7,False,False,Topological inking,hex_pathfinding,2,50,23,25,0.5,0.46,-0.08,hole,False,False,Topological inking,hex_pathfinding,3,50,1,11,0.22,0.02,-0.2564102564102564,6,False,False,Topological inking,hex_pathfinding,4,50,9,13,0.26,0.18,-0.10810810810810811,unique,False,False,Topological inking,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological inking,impossible_object,1,50,12,27,0.54,0.24,-0.6521739130434783,5,False,False,Optical inking,impossible_object,2,50,21,31,0.62,0.42,-0.5263157894736842,yes,False,False,Optical inking,impossible_object,3,50,14,12,0.24,0.28,0.05263157894736842,D,False,False,Optical inking,impossible_object,4,50,0,16,0.32,0.0,-0.47058823529411764,8,False,False,Optical inking,impossible_object,5,50,3,34,0.68,0.06,-1.9375,already constructible,False,False,Optical inking,laser_mirror,1,50,42,18,0.36,0.84,0.75,3,False,False,Physical & Mechanical inking,laser_mirror,2,50,38,38,0.76,0.76,0.0,yes,False,False,Physical & Mechanical inking,laser_mirror,3,50,4,24,0.48,0.08,-0.7692307692307693,1,False,False,Physical & Mechanical inking,laser_mirror,4,50,0,5,0.1,0.0,-0.1111111111111111,"left, position 2",False,False,Physical & Mechanical inking,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical inking,line_intersection,1,50,8,17,0.34,0.16,-0.2727272727272727,2,False,False,Plane Geometry inking,line_intersection,2,50,27,15,0.3,0.54,0.34285714285714286,0,False,False,Plane Geometry inking,line_intersection,3,50,47,15,0.3,0.94,0.9142857142857143,blue,False,False,Plane Geometry inking,line_intersection,4,50,29,12,0.24,0.58,0.4473684210526316,even,False,False,Plane Geometry inking,line_intersection,5,50,14,23,0.46,0.28,-0.3333333333333333,0,False,False,Plane Geometry inking,nested_hexagons,1,50,12,8,0.16,0.24,0.09523809523809523,4,False,False,Plane Geometry inking,nested_hexagons,2,50,26,26,0.52,0.52,0.0,constant,False,False,Plane Geometry inking,nested_hexagons,3,50,3,4,0.08,0.06,-0.021739130434782608,6.6,False,False,Plane Geometry inking,nested_hexagons,4,50,2,6,0.12,0.04,-0.09090909090909091,0,False,False,Plane Geometry inking,nested_hexagons,5,50,30,30,0.6,0.6,0.0,no,False,False,Plane Geometry inking,nested_squares,1,50,11,11,0.22,0.22,0.0,9,False,False,Plane Geometry inking,nested_squares,2,50,28,26,0.52,0.56,0.08333333333333333,constant,False,False,Plane Geometry inking,nested_squares,3,50,1,3,0.06,0.02,-0.0425531914893617,4.9,False,False,Plane Geometry inking,nested_squares,4,50,3,7,0.14,0.06,-0.09302325581395349,0,False,False,Plane Geometry inking,nested_squares,5,50,31,26,0.52,0.62,0.20833333333333334,yes,False,False,Plane Geometry inking,nested_triangles,1,50,6,9,0.18,0.12,-0.07317073170731707,4,False,False,Plane Geometry inking,nested_triangles,2,50,31,31,0.62,0.62,0.0,constant,False,False,Plane Geometry inking,nested_triangles,3,50,1,5,0.1,0.02,-0.08888888888888889,4.9,False,False,Plane Geometry inking,nested_triangles,4,50,2,3,0.06,0.04,-0.02127659574468085,0,False,False,Plane Geometry inking,nested_triangles,5,50,24,28,0.56,0.48,-0.18181818181818182,yes,False,False,Plane Geometry inking,occluded_pattern,1,50,20,10,0.2,0.4,0.25,8,False,False,Projective inking,occluded_pattern,2,50,14,9,0.18,0.28,0.12195121951219512,10,False,False,Projective inking,occluded_pattern,3,50,29,17,0.34,0.58,0.36363636363636365,grid,False,False,Projective inking,occluded_pattern,4,50,15,18,0.36,0.3,-0.09375,2,False,False,Projective inking,occluded_pattern,5,50,7,10,0.2,0.14,-0.075,11,False,False,Projective inking,optical_illusion,1,50,50,50,1.0,1.0,,2,True,False,Optical inking,optical_illusion,2,50,23,29,0.58,0.46,-0.2857142857142857,B,False,False,Optical inking,optical_illusion,3,50,24,23,0.46,0.48,0.037037037037037035,equal,False,False,Optical inking,optical_illusion,4,50,23,23,0.46,0.46,0.0,0,False,False,Optical inking,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical inking,orthographic,1,50,34,14,0.28,0.68,0.5555555555555556,5,False,False,Solid Geometry inking,orthographic,2,50,9,9,0.18,0.18,0.0,10,False,False,Solid Geometry inking,orthographic,3,50,29,19,0.38,0.58,0.3225806451612903,top,False,False,Solid Geometry inking,orthographic,4,50,27,21,0.42,0.54,0.20689655172413793,unique,False,False,Solid Geometry inking,orthographic,5,50,6,50,1.0,0.12,,front and side,True,False,Solid Geometry inking,overlap_circles,1,50,14,8,0.16,0.28,0.14285714285714285,10,False,False,Transformational inking,overlap_circles,2,50,30,24,0.48,0.6,0.23076923076923078,no,False,False,Transformational inking,overlap_circles,3,50,10,10,0.2,0.2,0.0,4,False,False,Transformational inking,overlap_circles,4,50,24,12,0.24,0.48,0.3157894736842105,0,False,False,Transformational inking,overlap_circles,5,50,3,7,0.14,0.06,-0.09302325581395349,3,False,False,Transformational inking,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical inking,physical_stability,2,50,33,33,0.66,0.66,0.0,right,False,False,Physical & Mechanical inking,physical_stability,3,50,37,21,0.42,0.74,0.5517241379310345,D,False,False,Physical & Mechanical inking,physical_stability,4,50,14,17,0.34,0.28,-0.09090909090909091,stable,False,False,Physical & Mechanical inking,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical inking,polyhedron,1,50,20,12,0.24,0.4,0.21052631578947367,12,False,False,Solid Geometry inking,polyhedron,2,50,43,45,0.9,0.86,-0.4,convex,False,False,Solid Geometry inking,polyhedron,3,50,16,13,0.26,0.32,0.08108108108108109,mixed,False,False,Solid Geometry inking,polyhedron,4,50,36,19,0.38,0.72,0.5483870967741935,no,False,False,Solid Geometry inking,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry inking,projectile_motion,1,50,49,3,0.06,0.98,0.9787234042553191,24,False,False,Physical & Mechanical inking,projectile_motion,2,50,28,28,0.56,0.56,0.0,no,False,False,Physical & Mechanical inking,projectile_motion,3,50,0,2,0.04,0.0,-0.041666666666666664,30.7,False,False,Physical & Mechanical inking,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical inking,projectile_motion,5,50,41,41,0.82,0.82,0.0,increase,False,False,Physical & Mechanical inking,rotation_matching,1,50,31,16,0.32,0.62,0.4411764705882353,7,False,False,Transformational inking,rotation_matching,2,50,6,14,0.28,0.12,-0.2222222222222222,C,False,False,Transformational inking,rotation_matching,3,50,7,11,0.22,0.14,-0.10256410256410256,90,False,False,Transformational inking,rotation_matching,4,50,11,20,0.4,0.22,-0.3,A,False,False,Transformational inking,rotation_matching,5,50,50,11,0.22,1.0,1.0,315,False,False,Transformational inking,route,1,50,35,15,0.3,0.7,0.5714285714285714,6,False,False,Topological inking,route,2,50,1,29,0.58,0.02,-1.3333333333333333,1,False,False,Topological inking,route,3,50,4,6,0.12,0.08,-0.045454545454545456,2,False,False,Topological inking,route,4,50,1,3,0.06,0.02,-0.0425531914893617,BE,False,False,Topological inking,route,5,50,17,12,0.24,0.34,0.13157894736842105,4,False,False,Topological inking,rpm,1,50,50,22,0.44,1.0,1.0,1,False,False,Inductive inking,rpm,2,50,11,9,0.18,0.22,0.04878048780487805,2,False,False,Inductive inking,rpm,3,50,19,15,0.3,0.38,0.11428571428571428,wrong in some other way,False,False,Inductive inking,rpm,4,50,6,13,0.26,0.12,-0.1891891891891892,8,False,False,Inductive inking,rpm,5,50,6,31,0.62,0.12,-1.3157894736842106,9,False,False,Inductive inking,shadow_inference,1,50,49,23,0.46,0.98,0.9629629629629629,2,False,False,Projective inking,shadow_inference,2,50,23,20,0.4,0.46,0.1,left,False,False,Projective inking,shadow_inference,3,50,34,14,0.28,0.68,0.5555555555555556,high,False,False,Projective inking,shadow_inference,4,50,10,21,0.42,0.2,-0.3793103448275862,same,False,False,Projective inking,shadow_inference,5,50,18,32,0.64,0.36,-0.7777777777777778,same,False,False,Projective inking,surface_topology,1,50,38,14,0.28,0.76,0.6666666666666666,2,False,False,Topological inking,surface_topology,2,50,44,39,0.78,0.88,0.45454545454545453,orientable,False,False,Topological inking,surface_topology,3,50,18,18,0.36,0.36,0.0,0,False,False,Topological inking,surface_topology,4,50,16,14,0.28,0.32,0.05555555555555555,-2; orientable,False,False,Topological inking,surface_topology,5,50,5,20,0.4,0.1,-0.5,-1,False,False,Topological inking,symmetry_pattern,1,50,5,25,0.5,0.1,-0.8,6,False,False,Transformational inking,symmetry_pattern,2,50,28,27,0.54,0.56,0.043478260869565216,symmetric,False,False,Transformational inking,symmetry_pattern,3,50,21,14,0.28,0.42,0.19444444444444445,rotational,False,False,Transformational inking,symmetry_pattern,4,50,6,17,0.34,0.12,-0.3333333333333333,8,False,False,Transformational inking,symmetry_pattern,5,50,50,50,1.0,1.0,,yes,True,False,Transformational muse_glimmer_30b,angle_estimation,1,50,46,18,0.36,0.92,0.875,2,False,False,Plane Geometry muse_glimmer_30b,angle_estimation,2,50,33,11,0.22,0.66,0.5641025641025641,Angle 2,False,False,Plane Geometry muse_glimmer_30b,angle_estimation,3,50,33,12,0.24,0.66,0.5526315789473685,greater than,False,False,Plane Geometry muse_glimmer_30b,angle_estimation,4,50,14,12,0.24,0.28,0.05263157894736842,180,False,False,Plane Geometry muse_glimmer_30b,angle_estimation,5,50,17,14,0.28,0.34,0.08333333333333333,"190,no",False,False,Plane Geometry muse_glimmer_30b,clock_reading,1,50,22,8,0.16,0.44,0.3333333333333333,12,False,False,Physical & Mechanical muse_glimmer_30b,clock_reading,2,50,35,26,0.52,0.7,0.375,after,False,False,Physical & Mechanical muse_glimmer_30b,clock_reading,3,50,4,2,0.04,0.08,0.041666666666666664,08:03,False,False,Physical & Mechanical muse_glimmer_30b,clock_reading,4,50,5,2,0.04,0.1,0.0625,114,False,False,Physical & Mechanical muse_glimmer_30b,clock_reading,5,50,1,2,0.04,0.02,-0.020833333333333332,124,False,False,Physical & Mechanical muse_glimmer_30b,combination,1,50,35,14,0.28,0.7,0.5833333333333334,9,False,False,Transformational muse_glimmer_30b,combination,2,50,1,17,0.34,0.02,-0.48484848484848486,C,False,False,Transformational muse_glimmer_30b,combination,3,50,34,19,0.38,0.68,0.4838709677419355,yes,False,False,Transformational muse_glimmer_30b,combination,4,50,6,18,0.36,0.12,-0.375,B,False,False,Transformational muse_glimmer_30b,combination,5,50,39,38,0.76,0.78,0.08333333333333333,connected,False,False,Transformational muse_glimmer_30b,combination3d,1,50,7,11,0.22,0.14,-0.10256410256410256,12,False,False,Solid Geometry muse_glimmer_30b,combination3d,2,50,19,16,0.32,0.38,0.08823529411764706,B,False,False,Solid Geometry muse_glimmer_30b,combination3d,3,50,19,22,0.44,0.38,-0.10714285714285714,yes,False,False,Solid Geometry muse_glimmer_30b,combination3d,4,50,9,11,0.22,0.18,-0.05128205128205128,D,False,False,Solid Geometry muse_glimmer_30b,combination3d,5,50,23,21,0.42,0.46,0.06896551724137931,"same shape, different angle",False,False,Solid Geometry muse_glimmer_30b,compass_bearing,1,50,49,29,0.58,0.98,0.9523809523809523,3,False,False,Analytic muse_glimmer_30b,compass_bearing,2,50,46,24,0.48,0.92,0.8461538461538461,south,False,False,Analytic muse_glimmer_30b,compass_bearing,3,50,13,5,0.1,0.26,0.17777777777777778,270,False,False,Analytic muse_glimmer_30b,compass_bearing,4,50,0,2,0.04,0.0,-0.041666666666666664,30 degrees counterclockwise,False,False,Analytic muse_glimmer_30b,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic muse_glimmer_30b,coordinate_geometry,1,50,31,3,0.06,0.62,0.5957446808510638,"(-6, -8)",False,False,Analytic muse_glimmer_30b,coordinate_geometry,2,50,26,5,0.1,0.52,0.4666666666666667,4.47,False,False,Analytic muse_glimmer_30b,coordinate_geometry,3,50,7,20,0.4,0.14,-0.43333333333333335,A and B,False,False,Analytic muse_glimmer_30b,coordinate_geometry,4,50,43,12,0.24,0.86,0.8157894736842105,less than,False,False,Analytic muse_glimmer_30b,coordinate_geometry,5,50,28,5,0.1,0.56,0.5111111111111111,3.00,False,False,Analytic muse_glimmer_30b,cube_net,1,50,50,50,1.0,1.0,,6,True,False,Solid Geometry muse_glimmer_30b,cube_net,2,50,42,20,0.4,0.84,0.7333333333333333,E,False,False,Solid Geometry muse_glimmer_30b,cube_net,3,50,15,10,0.2,0.3,0.125,1,False,False,Solid Geometry muse_glimmer_30b,cube_net,4,50,29,27,0.54,0.58,0.08695652173913043,adjacent,False,False,Solid Geometry muse_glimmer_30b,cube_net,5,50,7,43,0.86,0.14,-5.142857142857143,no,False,False,Solid Geometry muse_glimmer_30b,cube_structure,1,50,2,9,0.18,0.04,-0.17073170731707318,12,False,False,Solid Geometry muse_glimmer_30b,cube_structure,2,50,4,12,0.24,0.08,-0.21052631578947367,10,False,False,Solid Geometry muse_glimmer_30b,cube_structure,3,50,20,29,0.58,0.4,-0.42857142857142855,1,False,False,Solid Geometry muse_glimmer_30b,cube_structure,4,50,5,20,0.4,0.1,-0.5,1,False,False,Solid Geometry muse_glimmer_30b,cube_structure,5,50,0,17,0.34,0.0,-0.5151515151515151,1,False,False,Solid Geometry muse_glimmer_30b,depth_height,1,50,50,20,0.4,1.0,1.0,3,False,False,Solid Geometry muse_glimmer_30b,depth_height,2,50,3,14,0.28,0.06,-0.3055555555555556,orange,False,False,Solid Geometry muse_glimmer_30b,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry muse_glimmer_30b,depth_height,4,50,18,3,0.06,0.36,0.3191489361702128,0.65,False,False,Solid Geometry muse_glimmer_30b,depth_height,5,50,42,16,0.32,0.84,0.7647058823529411,smaller,False,False,Solid Geometry muse_glimmer_30b,embedded_figures,1,50,5,14,0.28,0.1,-0.25,14,False,False,Transformational muse_glimmer_30b,embedded_figures,2,50,21,18,0.36,0.42,0.09375,6,False,False,Transformational muse_glimmer_30b,embedded_figures,3,50,18,20,0.4,0.36,-0.06666666666666667,D,False,False,Transformational muse_glimmer_30b,embedded_figures,4,50,17,14,0.28,0.34,0.08333333333333333,8,False,False,Transformational muse_glimmer_30b,embedded_figures,5,50,28,28,0.56,0.56,0.0,open,False,False,Transformational muse_glimmer_30b,fbd,1,50,49,17,0.34,0.98,0.9696969696969697,4,False,False,Physical & Mechanical muse_glimmer_30b,fbd,2,50,35,12,0.24,0.7,0.6052631578947368,W,False,False,Physical & Mechanical muse_glimmer_30b,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical muse_glimmer_30b,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical muse_glimmer_30b,fbd,5,50,6,20,0.4,0.12,-0.4666666666666667,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical muse_glimmer_30b,fold_punch,1,50,50,28,0.56,1.0,1.0,3,False,False,Transformational muse_glimmer_30b,fold_punch,2,50,0,32,0.64,0.0,-1.7777777777777777,8,False,False,Transformational muse_glimmer_30b,fold_punch,3,50,0,13,0.26,0.0,-0.35135135135135137,A,False,False,Transformational muse_glimmer_30b,fold_punch,4,50,3,16,0.32,0.06,-0.38235294117647056,A,False,False,Transformational muse_glimmer_30b,fold_punch,5,50,7,24,0.48,0.14,-0.6538461538461539,16,False,False,Transformational muse_glimmer_30b,gauge_reading,1,50,49,35,0.7,0.98,0.9333333333333333,0,False,False,Physical & Mechanical muse_glimmer_30b,gauge_reading,2,50,50,25,0.5,1.0,1.0,lower half,False,False,Physical & Mechanical muse_glimmer_30b,gauge_reading,3,50,42,5,0.1,0.84,0.8222222222222222,100,False,False,Physical & Mechanical muse_glimmer_30b,gauge_reading,4,50,7,34,0.68,0.14,-1.6875,no danger zone marked,False,False,Physical & Mechanical muse_glimmer_30b,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical muse_glimmer_30b,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical muse_glimmer_30b,gear_train,2,50,0,50,1.0,0.0,,opposite,True,False,Physical & Mechanical muse_glimmer_30b,gear_train,3,50,44,15,0.3,0.88,0.8285714285714286,C,False,False,Physical & Mechanical muse_glimmer_30b,gear_train,4,50,34,2,0.04,0.68,0.6666666666666666,26.2,False,False,Physical & Mechanical muse_glimmer_30b,gear_train,5,50,0,19,0.38,0.0,-0.6129032258064516,decrease; direction unchanged,False,False,Physical & Mechanical muse_glimmer_30b,hex_pathfinding,1,50,12,8,0.16,0.24,0.09523809523809523,7,False,False,Topological muse_glimmer_30b,hex_pathfinding,2,50,47,25,0.5,0.94,0.88,hole,False,False,Topological muse_glimmer_30b,hex_pathfinding,3,50,0,11,0.22,0.0,-0.28205128205128205,6,False,False,Topological muse_glimmer_30b,hex_pathfinding,4,50,5,13,0.26,0.1,-0.21621621621621623,unique,False,False,Topological muse_glimmer_30b,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological muse_glimmer_30b,impossible_object,1,50,5,27,0.54,0.1,-0.9565217391304348,5,False,False,Optical muse_glimmer_30b,impossible_object,2,50,19,31,0.62,0.38,-0.631578947368421,yes,False,False,Optical muse_glimmer_30b,impossible_object,3,50,6,12,0.24,0.12,-0.15789473684210525,D,False,False,Optical muse_glimmer_30b,impossible_object,4,50,4,16,0.32,0.08,-0.35294117647058826,8,False,False,Optical muse_glimmer_30b,impossible_object,5,50,2,34,0.68,0.04,-2.0,already constructible,False,False,Optical muse_glimmer_30b,laser_mirror,1,50,50,18,0.36,1.0,1.0,3,False,False,Physical & Mechanical muse_glimmer_30b,laser_mirror,2,50,14,38,0.76,0.28,-2.0,yes,False,False,Physical & Mechanical muse_glimmer_30b,laser_mirror,3,50,0,24,0.48,0.0,-0.9230769230769231,1,False,False,Physical & Mechanical muse_glimmer_30b,laser_mirror,4,50,0,5,0.1,0.0,-0.1111111111111111,"left, position 2",False,False,Physical & Mechanical muse_glimmer_30b,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical muse_glimmer_30b,line_intersection,1,50,42,17,0.34,0.84,0.7575757575757576,2,False,False,Plane Geometry muse_glimmer_30b,line_intersection,2,50,45,15,0.3,0.9,0.8571428571428571,0,False,False,Plane Geometry muse_glimmer_30b,line_intersection,3,50,48,15,0.3,0.96,0.9428571428571428,blue,False,False,Plane Geometry muse_glimmer_30b,line_intersection,4,50,47,12,0.24,0.94,0.9210526315789473,even,False,False,Plane Geometry muse_glimmer_30b,line_intersection,5,50,27,23,0.46,0.54,0.14814814814814814,0,False,False,Plane Geometry muse_glimmer_30b,nested_hexagons,1,50,25,8,0.16,0.5,0.40476190476190477,4,False,False,Plane Geometry muse_glimmer_30b,nested_hexagons,2,50,27,26,0.52,0.54,0.041666666666666664,constant,False,False,Plane Geometry muse_glimmer_30b,nested_hexagons,3,50,1,4,0.08,0.02,-0.06521739130434782,6.6,False,False,Plane Geometry muse_glimmer_30b,nested_hexagons,4,50,2,6,0.12,0.04,-0.09090909090909091,0,False,False,Plane Geometry muse_glimmer_30b,nested_hexagons,5,50,31,30,0.6,0.62,0.05,no,False,False,Plane Geometry muse_glimmer_30b,nested_squares,1,50,27,11,0.22,0.54,0.41025641025641024,9,False,False,Plane Geometry muse_glimmer_30b,nested_squares,2,50,27,26,0.52,0.54,0.041666666666666664,constant,False,False,Plane Geometry muse_glimmer_30b,nested_squares,3,50,2,3,0.06,0.04,-0.02127659574468085,4.9,False,False,Plane Geometry muse_glimmer_30b,nested_squares,4,50,2,7,0.14,0.04,-0.11627906976744186,0,False,False,Plane Geometry muse_glimmer_30b,nested_squares,5,50,27,26,0.52,0.54,0.041666666666666664,yes,False,False,Plane Geometry muse_glimmer_30b,nested_triangles,1,50,34,9,0.18,0.68,0.6097560975609756,4,False,False,Plane Geometry muse_glimmer_30b,nested_triangles,2,50,32,31,0.62,0.64,0.05263157894736842,constant,False,False,Plane Geometry muse_glimmer_30b,nested_triangles,3,50,0,5,0.1,0.0,-0.1111111111111111,4.9,False,False,Plane Geometry muse_glimmer_30b,nested_triangles,4,50,1,3,0.06,0.02,-0.0425531914893617,0,False,False,Plane Geometry muse_glimmer_30b,nested_triangles,5,50,23,28,0.56,0.46,-0.22727272727272727,yes,False,False,Plane Geometry muse_glimmer_30b,occluded_pattern,1,50,44,10,0.2,0.88,0.85,8,False,False,Projective muse_glimmer_30b,occluded_pattern,2,50,11,9,0.18,0.22,0.04878048780487805,10,False,False,Projective muse_glimmer_30b,occluded_pattern,3,50,26,17,0.34,0.52,0.2727272727272727,grid,False,False,Projective muse_glimmer_30b,occluded_pattern,4,50,13,18,0.36,0.26,-0.15625,2,False,False,Projective muse_glimmer_30b,occluded_pattern,5,50,7,10,0.2,0.14,-0.075,11,False,False,Projective muse_glimmer_30b,optical_illusion,1,50,50,50,1.0,1.0,,2,True,False,Optical muse_glimmer_30b,optical_illusion,2,50,33,29,0.58,0.66,0.19047619047619047,B,False,False,Optical muse_glimmer_30b,optical_illusion,3,50,23,23,0.46,0.46,0.0,equal,False,False,Optical muse_glimmer_30b,optical_illusion,4,50,18,23,0.46,0.36,-0.18518518518518517,0,False,False,Optical muse_glimmer_30b,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical muse_glimmer_30b,orthographic,1,50,46,14,0.28,0.92,0.8888888888888888,5,False,False,Solid Geometry muse_glimmer_30b,orthographic,2,50,0,9,0.18,0.0,-0.21951219512195122,10,False,False,Solid Geometry muse_glimmer_30b,orthographic,3,50,14,19,0.38,0.28,-0.16129032258064516,top,False,False,Solid Geometry muse_glimmer_30b,orthographic,4,50,15,21,0.42,0.3,-0.20689655172413793,unique,False,False,Solid Geometry muse_glimmer_30b,orthographic,5,50,2,50,1.0,0.04,,front and side,True,False,Solid Geometry muse_glimmer_30b,overlap_circles,1,50,20,8,0.16,0.4,0.2857142857142857,10,False,False,Transformational muse_glimmer_30b,overlap_circles,2,50,29,24,0.48,0.58,0.19230769230769232,no,False,False,Transformational muse_glimmer_30b,overlap_circles,3,50,15,10,0.2,0.3,0.125,4,False,False,Transformational muse_glimmer_30b,overlap_circles,4,50,19,12,0.24,0.38,0.18421052631578946,0,False,False,Transformational muse_glimmer_30b,overlap_circles,5,50,12,7,0.14,0.24,0.11627906976744186,3,False,False,Transformational muse_glimmer_30b,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical muse_glimmer_30b,physical_stability,2,50,32,33,0.66,0.64,-0.058823529411764705,right,False,False,Physical & Mechanical muse_glimmer_30b,physical_stability,3,50,47,21,0.42,0.94,0.896551724137931,D,False,False,Physical & Mechanical muse_glimmer_30b,physical_stability,4,50,6,17,0.34,0.12,-0.3333333333333333,stable,False,False,Physical & Mechanical muse_glimmer_30b,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical muse_glimmer_30b,polyhedron,1,50,23,12,0.24,0.46,0.2894736842105263,12,False,False,Solid Geometry muse_glimmer_30b,polyhedron,2,50,45,45,0.9,0.9,0.0,convex,False,False,Solid Geometry muse_glimmer_30b,polyhedron,3,50,19,13,0.26,0.38,0.16216216216216217,mixed,False,False,Solid Geometry muse_glimmer_30b,polyhedron,4,50,36,19,0.38,0.72,0.5483870967741935,no,False,False,Solid Geometry muse_glimmer_30b,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry muse_glimmer_30b,projectile_motion,1,50,50,3,0.06,1.0,1.0,24,False,False,Physical & Mechanical muse_glimmer_30b,projectile_motion,2,50,50,28,0.56,1.0,1.0,no,False,False,Physical & Mechanical muse_glimmer_30b,projectile_motion,3,50,25,2,0.04,0.5,0.4791666666666667,30.7,False,False,Physical & Mechanical muse_glimmer_30b,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical muse_glimmer_30b,projectile_motion,5,50,42,41,0.82,0.84,0.1111111111111111,increase,False,False,Physical & Mechanical muse_glimmer_30b,rotation_matching,1,50,32,16,0.32,0.64,0.47058823529411764,7,False,False,Transformational muse_glimmer_30b,rotation_matching,2,50,11,14,0.28,0.22,-0.08333333333333333,C,False,False,Transformational muse_glimmer_30b,rotation_matching,3,50,8,11,0.22,0.16,-0.07692307692307693,90,False,False,Transformational muse_glimmer_30b,rotation_matching,4,50,9,20,0.4,0.18,-0.36666666666666664,A,False,False,Transformational muse_glimmer_30b,rotation_matching,5,50,50,11,0.22,1.0,1.0,315,False,False,Transformational muse_glimmer_30b,route,1,50,37,15,0.3,0.74,0.6285714285714286,6,False,False,Topological muse_glimmer_30b,route,2,50,9,29,0.58,0.18,-0.9523809523809523,1,False,False,Topological muse_glimmer_30b,route,3,50,6,6,0.12,0.12,0.0,2,False,False,Topological muse_glimmer_30b,route,4,50,1,3,0.06,0.02,-0.0425531914893617,BE,False,False,Topological muse_glimmer_30b,route,5,50,10,12,0.24,0.2,-0.05263157894736842,4,False,False,Topological muse_glimmer_30b,rpm,1,50,50,22,0.44,1.0,1.0,1,False,False,Inductive muse_glimmer_30b,rpm,2,50,33,9,0.18,0.66,0.5853658536585366,2,False,False,Inductive muse_glimmer_30b,rpm,3,50,23,15,0.3,0.46,0.22857142857142856,wrong in some other way,False,False,Inductive muse_glimmer_30b,rpm,4,50,13,13,0.26,0.26,0.0,8,False,False,Inductive muse_glimmer_30b,rpm,5,50,14,31,0.62,0.28,-0.8947368421052632,9,False,False,Inductive muse_glimmer_30b,shadow_inference,1,50,47,23,0.46,0.94,0.8888888888888888,2,False,False,Projective muse_glimmer_30b,shadow_inference,2,50,40,20,0.4,0.8,0.6666666666666666,left,False,False,Projective muse_glimmer_30b,shadow_inference,3,50,33,14,0.28,0.66,0.5277777777777778,high,False,False,Projective muse_glimmer_30b,shadow_inference,4,50,12,21,0.42,0.24,-0.3103448275862069,same,False,False,Projective muse_glimmer_30b,shadow_inference,5,50,18,32,0.64,0.36,-0.7777777777777778,same,False,False,Projective muse_glimmer_30b,surface_topology,1,50,33,14,0.28,0.66,0.5277777777777778,2,False,False,Topological muse_glimmer_30b,surface_topology,2,50,47,39,0.78,0.94,0.7272727272727273,orientable,False,False,Topological muse_glimmer_30b,surface_topology,3,50,22,18,0.36,0.44,0.125,0,False,False,Topological muse_glimmer_30b,surface_topology,4,50,40,14,0.28,0.8,0.7222222222222222,-2; orientable,False,False,Topological muse_glimmer_30b,surface_topology,5,50,24,20,0.4,0.48,0.13333333333333333,-1,False,False,Topological muse_glimmer_30b,symmetry_pattern,1,50,48,25,0.5,0.96,0.92,6,False,False,Transformational muse_glimmer_30b,symmetry_pattern,2,50,31,27,0.54,0.62,0.17391304347826086,symmetric,False,False,Transformational muse_glimmer_30b,symmetry_pattern,3,50,24,14,0.28,0.48,0.2777777777777778,rotational,False,False,Transformational muse_glimmer_30b,symmetry_pattern,4,50,6,17,0.34,0.12,-0.3333333333333333,8,False,False,Transformational muse_glimmer_30b,symmetry_pattern,5,50,32,50,1.0,0.64,,yes,True,False,Transformational perplexity_sonar_pro,angle_estimation,1,50,40,18,0.36,0.8,0.6875,2,False,False,Plane Geometry perplexity_sonar_pro,angle_estimation,2,50,26,11,0.22,0.52,0.38461538461538464,Angle 2,False,False,Plane Geometry perplexity_sonar_pro,angle_estimation,3,50,9,12,0.24,0.18,-0.07894736842105263,greater than,False,False,Plane Geometry perplexity_sonar_pro,angle_estimation,4,50,15,12,0.24,0.3,0.07894736842105263,180,False,False,Plane Geometry perplexity_sonar_pro,angle_estimation,5,50,20,14,0.28,0.4,0.16666666666666666,"190,no",False,False,Plane Geometry perplexity_sonar_pro,clock_reading,1,50,30,8,0.16,0.6,0.5238095238095238,12,False,False,Physical & Mechanical perplexity_sonar_pro,clock_reading,2,50,26,26,0.52,0.52,0.0,after,False,False,Physical & Mechanical perplexity_sonar_pro,clock_reading,3,50,17,2,0.04,0.34,0.3125,08:03,False,False,Physical & Mechanical perplexity_sonar_pro,clock_reading,4,50,2,2,0.04,0.04,0.0,114,False,False,Physical & Mechanical perplexity_sonar_pro,clock_reading,5,50,0,2,0.04,0.0,-0.041666666666666664,124,False,False,Physical & Mechanical perplexity_sonar_pro,combination,1,50,23,14,0.28,0.46,0.25,9,False,False,Transformational perplexity_sonar_pro,combination,2,50,13,17,0.34,0.26,-0.12121212121212122,C,False,False,Transformational perplexity_sonar_pro,combination,3,50,34,19,0.38,0.68,0.4838709677419355,yes,False,False,Transformational perplexity_sonar_pro,combination,4,50,10,18,0.36,0.2,-0.25,B,False,False,Transformational perplexity_sonar_pro,combination,5,50,35,38,0.76,0.7,-0.25,connected,False,False,Transformational perplexity_sonar_pro,combination3d,1,50,2,11,0.22,0.04,-0.23076923076923078,12,False,False,Solid Geometry perplexity_sonar_pro,combination3d,2,50,18,16,0.32,0.36,0.058823529411764705,B,False,False,Solid Geometry perplexity_sonar_pro,combination3d,3,50,29,22,0.44,0.58,0.25,yes,False,False,Solid Geometry perplexity_sonar_pro,combination3d,4,50,6,11,0.22,0.12,-0.1282051282051282,D,False,False,Solid Geometry perplexity_sonar_pro,combination3d,5,50,26,21,0.42,0.52,0.1724137931034483,"same shape, different angle",False,False,Solid Geometry perplexity_sonar_pro,compass_bearing,1,50,49,29,0.58,0.98,0.9523809523809523,3,False,False,Analytic perplexity_sonar_pro,compass_bearing,2,50,45,24,0.48,0.9,0.8076923076923077,south,False,False,Analytic perplexity_sonar_pro,compass_bearing,3,50,13,5,0.1,0.26,0.17777777777777778,270,False,False,Analytic perplexity_sonar_pro,compass_bearing,4,50,0,2,0.04,0.0,-0.041666666666666664,30 degrees counterclockwise,False,False,Analytic perplexity_sonar_pro,compass_bearing,5,50,0,1,0.02,0.0,-0.02040816326530612,A; projected endpoint is closest to A (148.5 map units away; bearing difference 60.5 degrees),False,False,Analytic perplexity_sonar_pro,coordinate_geometry,1,50,22,3,0.06,0.44,0.40425531914893614,"(-6, -8)",False,False,Analytic perplexity_sonar_pro,coordinate_geometry,2,50,4,5,0.1,0.08,-0.022222222222222223,4.47,False,False,Analytic perplexity_sonar_pro,coordinate_geometry,3,50,24,20,0.4,0.48,0.13333333333333333,A and B,False,False,Analytic perplexity_sonar_pro,coordinate_geometry,4,50,37,12,0.24,0.74,0.6578947368421053,less than,False,False,Analytic perplexity_sonar_pro,coordinate_geometry,5,50,0,5,0.1,0.0,-0.1111111111111111,3.00,False,False,Analytic perplexity_sonar_pro,cube_net,1,50,50,50,1.0,1.0,,6,True,False,Solid Geometry perplexity_sonar_pro,cube_net,2,50,48,20,0.4,0.96,0.9333333333333333,E,False,False,Solid Geometry perplexity_sonar_pro,cube_net,3,50,19,10,0.2,0.38,0.225,1,False,False,Solid Geometry perplexity_sonar_pro,cube_net,4,50,28,27,0.54,0.56,0.043478260869565216,adjacent,False,False,Solid Geometry perplexity_sonar_pro,cube_net,5,50,39,43,0.86,0.78,-0.5714285714285714,no,False,False,Solid Geometry perplexity_sonar_pro,cube_structure,1,50,9,9,0.18,0.18,0.0,12,False,False,Solid Geometry perplexity_sonar_pro,cube_structure,2,50,5,12,0.24,0.1,-0.18421052631578946,10,False,False,Solid Geometry perplexity_sonar_pro,cube_structure,3,50,31,29,0.58,0.62,0.09523809523809523,1,False,False,Solid Geometry perplexity_sonar_pro,cube_structure,4,50,12,20,0.4,0.24,-0.26666666666666666,1,False,False,Solid Geometry perplexity_sonar_pro,cube_structure,5,50,5,17,0.34,0.1,-0.36363636363636365,1,False,False,Solid Geometry perplexity_sonar_pro,depth_height,1,50,49,20,0.4,0.98,0.9666666666666667,3,False,False,Solid Geometry perplexity_sonar_pro,depth_height,2,50,0,14,0.28,0.0,-0.3888888888888889,orange,False,False,Solid Geometry perplexity_sonar_pro,depth_height,3,50,0,4,0.08,0.0,-0.08695652173913043,"['orange', 'magenta']",False,False,Solid Geometry perplexity_sonar_pro,depth_height,4,50,11,3,0.06,0.22,0.1702127659574468,0.65,False,False,Solid Geometry perplexity_sonar_pro,depth_height,5,50,30,16,0.32,0.6,0.4117647058823529,smaller,False,False,Solid Geometry perplexity_sonar_pro,embedded_figures,1,50,8,14,0.28,0.16,-0.16666666666666666,14,False,False,Transformational perplexity_sonar_pro,embedded_figures,2,50,19,18,0.36,0.38,0.03125,6,False,False,Transformational perplexity_sonar_pro,embedded_figures,3,50,18,20,0.4,0.36,-0.06666666666666667,D,False,False,Transformational perplexity_sonar_pro,embedded_figures,4,50,9,14,0.28,0.18,-0.1388888888888889,8,False,False,Transformational perplexity_sonar_pro,embedded_figures,5,50,28,28,0.56,0.56,0.0,open,False,False,Transformational perplexity_sonar_pro,fbd,1,50,50,17,0.34,1.0,1.0,4,False,False,Physical & Mechanical perplexity_sonar_pro,fbd,2,50,36,12,0.24,0.72,0.631578947368421,W,False,False,Physical & Mechanical perplexity_sonar_pro,fbd,3,50,0,7,0.14,0.0,-0.16279069767441862,"{'magnitude_ranking': [['N', 'W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'yes'}",False,False,Physical & Mechanical perplexity_sonar_pro,fbd,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'net_force_N': 0.0, 'required_friction_coefficient': 0.4}",False,False,Physical & Mechanical perplexity_sonar_pro,fbd,5,50,6,20,0.4,0.12,-0.4666666666666667,"downward (270 degrees; 0=right, 90=up)",False,False,Physical & Mechanical perplexity_sonar_pro,fold_punch,1,50,50,28,0.56,1.0,1.0,3,False,False,Transformational perplexity_sonar_pro,fold_punch,2,50,27,32,0.64,0.54,-0.2777777777777778,8,False,False,Transformational perplexity_sonar_pro,fold_punch,3,50,14,13,0.26,0.28,0.02702702702702703,A,False,False,Transformational perplexity_sonar_pro,fold_punch,4,50,7,16,0.32,0.14,-0.2647058823529412,A,False,False,Transformational perplexity_sonar_pro,fold_punch,5,50,8,24,0.48,0.16,-0.6153846153846154,16,False,False,Transformational perplexity_sonar_pro,gauge_reading,1,50,50,35,0.7,1.0,1.0,0,False,False,Physical & Mechanical perplexity_sonar_pro,gauge_reading,2,50,48,25,0.5,0.96,0.92,lower half,False,False,Physical & Mechanical perplexity_sonar_pro,gauge_reading,3,50,37,5,0.1,0.74,0.7111111111111111,100,False,False,Physical & Mechanical perplexity_sonar_pro,gauge_reading,4,50,0,34,0.68,0.0,-2.125,no danger zone marked,False,False,Physical & Mechanical perplexity_sonar_pro,gauge_reading,5,50,0,3,0.06,0.0,-0.06382978723404255,no; new value 6.5,False,False,Physical & Mechanical perplexity_sonar_pro,gear_train,1,50,50,23,0.46,1.0,1.0,5,False,False,Physical & Mechanical perplexity_sonar_pro,gear_train,2,50,0,50,1.0,0.0,,opposite,True,False,Physical & Mechanical perplexity_sonar_pro,gear_train,3,50,48,15,0.3,0.96,0.9428571428571428,C,False,False,Physical & Mechanical perplexity_sonar_pro,gear_train,4,50,2,2,0.04,0.04,0.0,26.2,False,False,Physical & Mechanical perplexity_sonar_pro,gear_train,5,50,0,19,0.38,0.0,-0.6129032258064516,decrease; direction unchanged,False,False,Physical & Mechanical perplexity_sonar_pro,hex_pathfinding,1,50,2,8,0.16,0.04,-0.14285714285714285,7,False,False,Topological perplexity_sonar_pro,hex_pathfinding,2,50,33,25,0.5,0.66,0.32,hole,False,False,Topological perplexity_sonar_pro,hex_pathfinding,3,50,1,11,0.22,0.02,-0.2564102564102564,6,False,False,Topological perplexity_sonar_pro,hex_pathfinding,4,50,0,13,0.26,0.0,-0.35135135135135137,unique,False,False,Topological perplexity_sonar_pro,hex_pathfinding,5,50,0,22,0.44,0.0,-0.7857142857142857,no valid path exists,False,False,Topological perplexity_sonar_pro,impossible_object,1,50,10,27,0.54,0.2,-0.7391304347826086,5,False,False,Optical perplexity_sonar_pro,impossible_object,2,50,28,31,0.62,0.56,-0.15789473684210525,yes,False,False,Optical perplexity_sonar_pro,impossible_object,3,50,13,12,0.24,0.26,0.02631578947368421,D,False,False,Optical perplexity_sonar_pro,impossible_object,4,50,6,16,0.32,0.12,-0.29411764705882354,8,False,False,Optical perplexity_sonar_pro,impossible_object,5,50,3,34,0.68,0.06,-1.9375,already constructible,False,False,Optical perplexity_sonar_pro,laser_mirror,1,50,47,18,0.36,0.94,0.90625,3,False,False,Physical & Mechanical perplexity_sonar_pro,laser_mirror,2,50,39,38,0.76,0.78,0.08333333333333333,yes,False,False,Physical & Mechanical perplexity_sonar_pro,laser_mirror,3,50,4,24,0.48,0.08,-0.7692307692307693,1,False,False,Physical & Mechanical perplexity_sonar_pro,laser_mirror,4,50,0,5,0.1,0.0,-0.1111111111111111,"left, position 2",False,False,Physical & Mechanical perplexity_sonar_pro,laser_mirror,5,50,0,4,0.08,0.0,-0.08695652173913043,"yes; exits at right, position 5",False,False,Physical & Mechanical perplexity_sonar_pro,line_intersection,1,50,34,17,0.34,0.68,0.5151515151515151,2,False,False,Plane Geometry perplexity_sonar_pro,line_intersection,2,50,30,15,0.3,0.6,0.42857142857142855,0,False,False,Plane Geometry perplexity_sonar_pro,line_intersection,3,50,47,15,0.3,0.94,0.9142857142857143,blue,False,False,Plane Geometry perplexity_sonar_pro,line_intersection,4,50,22,12,0.24,0.44,0.2631578947368421,even,False,False,Plane Geometry perplexity_sonar_pro,line_intersection,5,50,26,23,0.46,0.52,0.1111111111111111,0,False,False,Plane Geometry perplexity_sonar_pro,nested_hexagons,1,50,25,8,0.16,0.5,0.40476190476190477,4,False,False,Plane Geometry perplexity_sonar_pro,nested_hexagons,2,50,24,26,0.52,0.48,-0.08333333333333333,constant,False,False,Plane Geometry perplexity_sonar_pro,nested_hexagons,3,50,2,4,0.08,0.04,-0.043478260869565216,6.6,False,False,Plane Geometry perplexity_sonar_pro,nested_hexagons,4,50,1,6,0.12,0.02,-0.11363636363636363,0,False,False,Plane Geometry perplexity_sonar_pro,nested_hexagons,5,50,20,30,0.6,0.4,-0.5,no,False,False,Plane Geometry perplexity_sonar_pro,nested_squares,1,50,24,11,0.22,0.48,0.3333333333333333,9,False,False,Plane Geometry perplexity_sonar_pro,nested_squares,2,50,26,26,0.52,0.52,0.0,constant,False,False,Plane Geometry perplexity_sonar_pro,nested_squares,3,50,0,3,0.06,0.0,-0.06382978723404255,4.9,False,False,Plane Geometry perplexity_sonar_pro,nested_squares,4,50,3,7,0.14,0.06,-0.09302325581395349,0,False,False,Plane Geometry perplexity_sonar_pro,nested_squares,5,50,31,26,0.52,0.62,0.20833333333333334,yes,False,False,Plane Geometry perplexity_sonar_pro,nested_triangles,1,50,25,9,0.18,0.5,0.3902439024390244,4,False,False,Plane Geometry perplexity_sonar_pro,nested_triangles,2,50,29,31,0.62,0.58,-0.10526315789473684,constant,False,False,Plane Geometry perplexity_sonar_pro,nested_triangles,3,50,3,5,0.1,0.06,-0.044444444444444446,4.9,False,False,Plane Geometry perplexity_sonar_pro,nested_triangles,4,50,3,3,0.06,0.06,0.0,0,False,False,Plane Geometry perplexity_sonar_pro,nested_triangles,5,50,30,28,0.56,0.6,0.09090909090909091,yes,False,False,Plane Geometry perplexity_sonar_pro,occluded_pattern,1,50,25,10,0.2,0.5,0.375,8,False,False,Projective perplexity_sonar_pro,occluded_pattern,2,50,12,9,0.18,0.24,0.07317073170731707,10,False,False,Projective perplexity_sonar_pro,occluded_pattern,3,50,32,17,0.34,0.64,0.45454545454545453,grid,False,False,Projective perplexity_sonar_pro,occluded_pattern,4,50,8,18,0.36,0.16,-0.3125,2,False,False,Projective perplexity_sonar_pro,occluded_pattern,5,50,4,10,0.2,0.08,-0.15,11,False,False,Projective perplexity_sonar_pro,optical_illusion,1,50,50,50,1.0,1.0,,2,True,False,Optical perplexity_sonar_pro,optical_illusion,2,50,40,29,0.58,0.8,0.5238095238095238,B,False,False,Optical perplexity_sonar_pro,optical_illusion,3,50,23,23,0.46,0.46,0.0,equal,False,False,Optical perplexity_sonar_pro,optical_illusion,4,50,23,23,0.46,0.46,0.0,0,False,False,Optical perplexity_sonar_pro,optical_illusion,5,50,0,26,0.52,0.0,-1.0833333333333333,yes; actually equal,False,False,Optical perplexity_sonar_pro,orthographic,1,50,18,14,0.28,0.36,0.1111111111111111,5,False,False,Solid Geometry perplexity_sonar_pro,orthographic,2,50,15,9,0.18,0.3,0.14634146341463414,10,False,False,Solid Geometry perplexity_sonar_pro,orthographic,3,50,10,19,0.38,0.2,-0.2903225806451613,top,False,False,Solid Geometry perplexity_sonar_pro,orthographic,4,50,23,21,0.42,0.46,0.06896551724137931,unique,False,False,Solid Geometry perplexity_sonar_pro,orthographic,5,50,13,50,1.0,0.26,,front and side,True,False,Solid Geometry perplexity_sonar_pro,overlap_circles,1,50,21,8,0.16,0.42,0.30952380952380953,10,False,False,Transformational perplexity_sonar_pro,overlap_circles,2,50,30,24,0.48,0.6,0.23076923076923078,no,False,False,Transformational perplexity_sonar_pro,overlap_circles,3,50,9,10,0.2,0.18,-0.025,4,False,False,Transformational perplexity_sonar_pro,overlap_circles,4,50,22,12,0.24,0.44,0.2631578947368421,0,False,False,Transformational perplexity_sonar_pro,overlap_circles,5,50,2,7,0.14,0.04,-0.11627906976744186,3,False,False,Transformational perplexity_sonar_pro,physical_stability,1,50,50,17,0.34,1.0,1.0,3,False,False,Physical & Mechanical perplexity_sonar_pro,physical_stability,2,50,20,33,0.66,0.4,-0.7647058823529411,right,False,False,Physical & Mechanical perplexity_sonar_pro,physical_stability,3,50,30,21,0.42,0.6,0.3103448275862069,D,False,False,Physical & Mechanical perplexity_sonar_pro,physical_stability,4,50,7,17,0.34,0.14,-0.30303030303030304,stable,False,False,Physical & Mechanical perplexity_sonar_pro,physical_stability,5,50,0,8,0.16,0.0,-0.19047619047619047,"stable; after removing block D, every cumulative center of mass remains within its supporting base",False,False,Physical & Mechanical perplexity_sonar_pro,polyhedron,1,50,17,12,0.24,0.34,0.13157894736842105,12,False,False,Solid Geometry perplexity_sonar_pro,polyhedron,2,50,26,45,0.9,0.52,-3.8,convex,False,False,Solid Geometry perplexity_sonar_pro,polyhedron,3,50,15,13,0.26,0.3,0.05405405405405406,mixed,False,False,Solid Geometry perplexity_sonar_pro,polyhedron,4,50,37,19,0.38,0.74,0.5806451612903226,no,False,False,Solid Geometry perplexity_sonar_pro,polyhedron,5,50,50,50,1.0,1.0,,no,True,False,Solid Geometry perplexity_sonar_pro,projectile_motion,1,50,49,3,0.06,0.98,0.9787234042553191,24,False,False,Physical & Mechanical perplexity_sonar_pro,projectile_motion,2,50,39,28,0.56,0.78,0.5,no,False,False,Physical & Mechanical perplexity_sonar_pro,projectile_motion,3,50,1,2,0.04,0.02,-0.020833333333333332,30.7,False,False,Physical & Mechanical perplexity_sonar_pro,projectile_motion,4,50,0,2,0.04,0.0,-0.041666666666666664,"{'time_of_flight_s': 5.3, 'range_m': 139.7}",False,False,Physical & Mechanical perplexity_sonar_pro,projectile_motion,5,50,33,41,0.82,0.66,-0.8888888888888888,increase,False,False,Physical & Mechanical perplexity_sonar_pro,rotation_matching,1,50,31,16,0.32,0.62,0.4411764705882353,7,False,False,Transformational perplexity_sonar_pro,rotation_matching,2,50,10,14,0.28,0.2,-0.1111111111111111,C,False,False,Transformational perplexity_sonar_pro,rotation_matching,3,50,9,11,0.22,0.18,-0.05128205128205128,90,False,False,Transformational perplexity_sonar_pro,rotation_matching,4,50,6,20,0.4,0.12,-0.4666666666666667,A,False,False,Transformational perplexity_sonar_pro,rotation_matching,5,50,48,11,0.22,0.96,0.9487179487179487,315,False,False,Transformational perplexity_sonar_pro,route,1,50,37,15,0.3,0.74,0.6285714285714286,6,False,False,Topological perplexity_sonar_pro,route,2,50,4,29,0.58,0.08,-1.1904761904761905,1,False,False,Topological perplexity_sonar_pro,route,3,50,6,6,0.12,0.12,0.0,2,False,False,Topological perplexity_sonar_pro,route,4,50,1,3,0.06,0.02,-0.0425531914893617,BE,False,False,Topological perplexity_sonar_pro,route,5,50,8,12,0.24,0.16,-0.10526315789473684,4,False,False,Topological perplexity_sonar_pro,rpm,1,50,43,22,0.44,0.86,0.75,1,False,False,Inductive perplexity_sonar_pro,rpm,2,50,21,9,0.18,0.42,0.2926829268292683,2,False,False,Inductive perplexity_sonar_pro,rpm,3,50,22,15,0.3,0.44,0.2,wrong in some other way,False,False,Inductive perplexity_sonar_pro,rpm,4,50,11,13,0.26,0.22,-0.05405405405405406,8,False,False,Inductive perplexity_sonar_pro,rpm,5,50,8,31,0.62,0.16,-1.2105263157894737,9,False,False,Inductive perplexity_sonar_pro,shadow_inference,1,50,44,23,0.46,0.88,0.7777777777777778,2,False,False,Projective perplexity_sonar_pro,shadow_inference,2,50,25,20,0.4,0.5,0.16666666666666666,left,False,False,Projective perplexity_sonar_pro,shadow_inference,3,50,29,14,0.28,0.58,0.4166666666666667,high,False,False,Projective perplexity_sonar_pro,shadow_inference,4,50,4,21,0.42,0.08,-0.5862068965517241,same,False,False,Projective perplexity_sonar_pro,shadow_inference,5,50,18,32,0.64,0.36,-0.7777777777777778,same,False,False,Projective perplexity_sonar_pro,surface_topology,1,50,33,14,0.28,0.66,0.5277777777777778,2,False,False,Topological perplexity_sonar_pro,surface_topology,2,50,44,39,0.78,0.88,0.45454545454545453,orientable,False,False,Topological perplexity_sonar_pro,surface_topology,3,50,15,18,0.36,0.3,-0.09375,0,False,False,Topological perplexity_sonar_pro,surface_topology,4,50,26,14,0.28,0.52,0.3333333333333333,-2; orientable,False,False,Topological perplexity_sonar_pro,surface_topology,5,50,10,20,0.4,0.2,-0.3333333333333333,-1,False,False,Topological perplexity_sonar_pro,symmetry_pattern,1,50,37,25,0.5,0.74,0.48,6,False,False,Transformational perplexity_sonar_pro,symmetry_pattern,2,50,36,27,0.54,0.72,0.391304347826087,symmetric,False,False,Transformational perplexity_sonar_pro,symmetry_pattern,3,50,26,14,0.28,0.52,0.3333333333333333,rotational,False,False,Transformational perplexity_sonar_pro,symmetry_pattern,4,50,10,17,0.34,0.2,-0.21212121212121213,8,False,False,Transformational perplexity_sonar_pro,symmetry_pattern,5,50,32,50,1.0,0.64,,yes,True,False,Transformational