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string
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[722.92, 752.0], [701.05, 707.57]]) <= 50.0", "assert check_distance(predict_position(0.20), [[695.85, 754.0], [723.09, 689.13]]) <= 50.0", "assert check_distance(predict_position(0.30), [[668.71, 756.01], [745.19, 670.66]]) <= 50.0", "assert check_distance(pred...
ballsim
BG_0_26
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 138, 195, 187 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -270.71, 19.9 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[721.78, 773.58], [832.93, 799.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[693.55, 797.17], [857.85, 800.25]]) <= 50.0", "assert check_distance(predict_position(0.30), [[665.26, 820.81], [882.84, 801.37]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_24
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 158, 219, 79 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -282.23, 235.79 ] },...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[770.12, 781.01], [724.02, 641.61]]) <= 50.0", "assert check_distance(predict_position(0.20), [[790.23, 812.01], [718.04, 616.22]]) <= 50.0", "assert check_distance(predict_position(0.30), [[810.4, 843.1], [712.04, 590.76]]) <= 50.0", "assert check_distance(pred...
ballsim
BG_0_20
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 142, 196, 153 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 201.15, 310.17 ] },...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[753.17, 725.63], [754.86, 684.94]]) <= 50.0", "assert check_distance(predict_position(0.20), [[751.66, 709.39], [785.76, 688.59]]) <= 50.0", "assert check_distance(predict_position(0.30), [[744.83, 702.32], [820.2, 686.27]]) <= 50.0", "assert check_distance(pre...
ballsim
BG_0_12
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 240, 201, 64 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 31.84, -243.54 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[759.89, 771.22], [745.02, 842.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[769.78, 792.43], [764.04, 827.34]]) <= 50.0", "assert check_distance(predict_position(0.30), [[796.31, 784.94], [766.5, 840.75]]) <= 50.0", "assert check_distance(pre...
ballsim
BG_0_5
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 151, 197, 176 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 98.98, 212.15 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[773.03, 767.39], [713.46, 791.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[804.28, 780.04], [704.4, 805.68]]) <= 50.0", "assert check_distance(predict_position(0.30), [[835.6, 792.72], [695.32, 819.73]]) <= 50.0", "assert check_distance(pred...
ballsim
BG_0_46
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 254, 166, 227 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -9.44, 312.26 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[756.57, 728.98], [797.12, 724.43]]) <= 50.0", "assert check_distance(predict_position(0.20), [[763.13, 707.96], [795.24, 691.86]]) <= 50.0", "assert check_distance(predict_position(0.30), [[769.72, 686.89], [793.36, 659.21]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_27
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 221, 64, 100 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 65.76, -210.21 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[761.06, 777.29], [877.53, 732.87]]) <= 50.0", "assert check_distance(predict_position(0.20), [[772.12, 804.59], [893.05, 747.74]]) <= 50.0", "assert check_distance(predict_position(0.30), [[783.21, 831.95], [908.62, 762.64]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_10
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 124, 189, 236 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 110.64, 272.97 ] },...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[759.89, 771.22], [745.02, 842.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[769.78, 792.43], [764.04, 827.34]]) <= 50.0", "assert check_distance(predict_position(0.30), [[796.31, 784.94], [766.5, 840.75]]) <= 50.0", "assert check_distance(pre...
ballsim
BG_0_30
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 151, 197, 176 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 98.98, 212.15 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[736.11, 731.84], [695.92, 699.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[722.22, 713.67], [714.84, 681.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[715.93, 708.66], [726.19, 650.48]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_17
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 217, 53, 251 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -138.84, -181.73 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[715.82, 755.3], [838.84, 773.11]]) <= 50.0", "assert check_distance(predict_position(0.20), [[681.64, 760.6], [848.68, 810.22]]) <= 50.0", "assert check_distance(predict_position(0.30), [[647.38, 765.91], [858.54, 847.42]]) <= 50.0", "assert check_distance(pred...
ballsim
BG_0_32
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 75, 198, 232 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -341.72, 53.08 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[775.83, 730.81], [728.42, 879.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[801.66, 711.62], [738.85, 913.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[827.55, 692.38], [730.37, 913.42]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_22
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 253, 118, 179 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 258.32, -191.96 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[787.11, 746.29], [756.27, 825.17]]) <= 50.0", "assert check_distance(predict_position(0.20), [[824.22, 742.58], [733.54, 829.35]]) <= 50.0", "assert check_distance(predict_position(0.30), [[861.42, 738.86], [710.75, 833.53]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_13
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 183, 169, 112 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 371, -37.14 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[727.78, 735.99], [694.15, 817.95]]) <= 50.0", "assert check_distance(predict_position(0.20), [[705.57, 721.97], [673.3, 845.91]]) <= 50.0", "assert check_distance(predict_position(0.30), [[683.29, 707.92], [652.4, 873.93]]) <= 50.0", "assert check_distance(pred...
ballsim
BG_0_4
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 115, 127, 65 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -222.27, -140.05 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[772.29, 779.22], [639.45, 740.36]]) <= 50.0", "assert check_distance(predict_position(0.20), [[794.58, 808.45], [628.91, 706.71]]) <= 50.0", "assert check_distance(predict_position(0.30), [[816.93, 837.74], [618.33, 672.99]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_40
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 224, 94, 132 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 222.89, 292.18 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[778.47, 749.78], [694.31, 665.41]]) <= 50.0", "assert check_distance(predict_position(0.20), [[806.93, 749.56], [714.62, 658.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[835.47, 749.34], [734.99, 652.21]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_39
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 94, 237, 65 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 284.6, -2.24 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[751.46, 782.5], [798.44, 659.86]]) <= 50.0", "assert check_distance(predict_position(0.20), [[752.93, 814.99], [823.88, 667.72]]) <= 50.0", "assert check_distance(predict_position(0.30), [[754.4, 847.57], [849.38, 675.6]]) <= 50.0", "assert check_distance(predi...
ballsim
BG_0_11
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 214, 101, 80 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 14.68, 324.95 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[777.78, 747.24], [727.69, 705.73]]) <= 50.0", "assert check_distance(predict_position(0.20), [[805.57, 744.48], [755.37, 729.46]]) <= 50.0", "assert check_distance(predict_position(0.30), [[833.42, 741.72], [783.13, 753.25]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_25
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 93, 174, 239 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 277.89, -27.62 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[751.46, 782.5], [798.44, 659.86]]) <= 50.0", "assert check_distance(predict_position(0.20), [[752.93, 814.99], [823.88, 667.72]]) <= 50.0", "assert check_distance(predict_position(0.30), [[754.4, 847.57], [849.38, 675.6]]) <= 50.0", "assert check_distance(predi...
ballsim
BG_0_36
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 214, 101, 80 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 14.68, 324.95 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[722.92, 752.0], [701.05, 707.57]]) <= 50.0", "assert check_distance(predict_position(0.20), [[695.85, 754.0], [723.09, 689.13]]) <= 50.0", "assert check_distance(predict_position(0.30), [[668.71, 756.01], [745.19, 670.66]]) <= 50.0", "assert check_distance(pred...
ballsim
BG_0_1
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 138, 195, 187 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -270.71, 19.9 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[766.55, 734.59], [827.04, 749.43]]) <= 50.0", "assert check_distance(predict_position(0.20), [[783.11, 719.19], [845.08, 719.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[799.7, 703.75], [863.17, 690.23]]) <= 50.0", "assert check_distance(pre...
ballsim
BG_0_44
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 80, 135, 149 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 165.47, -154.15 ] },...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[766.55, 734.59], [827.04, 749.43]]) <= 50.0", "assert check_distance(predict_position(0.20), [[783.11, 719.19], [845.08, 719.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[799.7, 703.75], [863.17, 690.23]]) <= 50.0", "assert check_distance(pre...
ballsim
BG_0_19
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 80, 135, 149 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 165.47, -154.15 ] },...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[767.16, 771.34], [827.42, 700.75]]) <= 50.0", "assert check_distance(predict_position(0.20), [[784.33, 792.68], [852.83, 690.49]]) <= 50.0", "assert check_distance(predict_position(0.30), [[801.53, 814.07], [878.31, 680.21]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_34
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 111, 84, 75 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 171.68, 213.36 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[721.78, 773.58], [832.93, 799.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[693.55, 797.17], [857.85, 800.25]]) <= 50.0", "assert check_distance(predict_position(0.30), [[665.26, 820.81], [882.84, 801.37]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_49
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 158, 219, 79 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -282.23, 235.79 ] },...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[736.11, 731.84], [695.92, 699.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[722.22, 713.67], [714.84, 681.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[715.93, 708.66], [726.19, 650.48]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_42
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 217, 53, 251 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -138.84, -181.73 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[732.91, 768.24], [713.14, 699.54]]) <= 50.0", "assert check_distance(predict_position(0.20), [[715.82, 786.47], [686.29, 729.08]]) <= 50.0", "assert check_distance(predict_position(0.30), [[698.69, 804.76], [659.37, 758.7]]) <= 50.0", "assert check_distance(pre...
ballsim
BG_0_31
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 143, 251, 126 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -170.97, 182.27 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[727.78, 735.99], [694.15, 817.95]]) <= 50.0", "assert check_distance(predict_position(0.20), [[705.57, 721.97], [673.3, 845.91]]) <= 50.0", "assert check_distance(predict_position(0.30), [[683.29, 707.92], [652.4, 873.93]]) <= 50.0", "assert check_distance(pred...
ballsim
BG_0_29
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 115, 127, 65 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -222.27, -140.05 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[773.03, 767.39], [713.46, 791.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[804.28, 780.04], [704.4, 805.68]]) <= 50.0", "assert check_distance(predict_position(0.30), [[835.6, 792.72], [695.32, 819.73]]) <= 50.0", "assert check_distance(pred...
ballsim
BG_0_21
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 254, 166, 227 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -9.44, 312.26 ] }, ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[771.44, 718.16], [735.61, 839.07]]) <= 50.0", "assert check_distance(predict_position(0.20), [[792.87, 686.33], [738.22, 862.14]]) <= 50.0", "assert check_distance(predict_position(0.30), [[814.36, 654.41], [740.84, 885.27]]) <= 50.0", "assert check_distance(pr...
ballsim
BG_0_23
0
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 88, 139, 98 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 214.24, -318.43 ] }, ...
50
function
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