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[ { "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), [[826.03, 812.63]]) <= 50.0", "assert check_distance(predict_position(0.20), [[722.97, 849.08]]) <= 50.0", "assert check_distance(predict_position(0.30), [[694.4, 782.76]]) <= 50.0", "assert check_distance(predict_position(0.40), [[697.23, 673.48]]) <= 50.0", "...
ballsim
F_4_47
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 779, 714 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 470.94, 986.58 ] } ...
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), [[743.67, 861.45]]) <= 50.0", "assert check_distance(predict_position(0.20), [[790.89, 781.43]]) <= 50.0", "assert check_distance(predict_position(0.30), [[848.38, 676.68]]) <= 50.0", "assert check_distance(predict_position(0.40), [[734.25, 658.16]]) <= 50.0", ...
ballsim
F_4_1018
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 777, 747 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 10, "velocity": [ -333.29, 1144.48 ] ...
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), [[767.17, 830.98]]) <= 50.0", "assert check_distance(predict_position(0.20), [[788.33, 812.95]]) <= 50.0", "assert check_distance(predict_position(0.30), [[809.55, 710.72]]) <= 50.0", "assert check_distance(predict_position(0.40), [[738.49, 686.15]]) <= 50.0", ...
ballsim
F_4_288
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 746, 729 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 211.7, 1019.79 ] } ...
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), [[797.24, 825.37]]) <= 50.0", "assert check_distance(predict_position(0.20), [[761.83, 789.34]]) <= 50.0", "assert check_distance(predict_position(0.30), [[693.52, 696.38]]) <= 50.0", "assert check_distance(predict_position(0.40), [[730.35, 691.73]]) <= 50.0", ...
ballsim
F_4_617
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 751, 720 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 462.42, 1053.65 ] }...
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), [[707.43, 642.34]]) <= 50.0", "assert check_distance(predict_position(0.20), [[733.12, 742.78]]) <= 50.0", "assert check_distance(predict_position(0.30), [[758.86, 843.47]]) <= 50.0", "assert check_distance(predict_position(0.40), [[845.14, 820.22]]) <= 50.0", ...
ballsim
F_4_975
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 758, 726 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ -528.55, -891.76 ] ...
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), [[829.06, 749.16]]) <= 50.0", "assert check_distance(predict_position(0.20), [[748.81, 695.49]]) <= 50.0", "assert check_distance(predict_position(0.30), [[683.47, 679.98]]) <= 50.0", "assert check_distance(predict_position(0.40), [[709.71, 790.33]]) <= 50.0", ...
ballsim
F_4_583
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 716, 740 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 1130.64, 91.46 ] } ...
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), [[841.35, 813.33]]) <= 50.0", "assert check_distance(predict_position(0.20), [[857.65, 731.36]]) <= 50.0", "assert check_distance(predict_position(0.30), [[761.15, 667.55]]) <= 50.0", "assert check_distance(predict_position(0.40), [[658.05, 676.61]]) <= 50.0", ...
ballsim
F_4_803
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 734, 771 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 1073.46, 423.43 ] }...
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), [[834.06, 739.4]]) <= 50.0", "assert check_distance(predict_position(0.20), [[832.27, 789.78]]) <= 50.0", "assert check_distance(predict_position(0.30), [[746.44, 854.26]]) <= 50.0", "assert check_distance(predict_position(0.40), [[673.85, 807.82]]) <= 50.0", "...
ballsim
F_4_537
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 726, 729 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 1080.59, 103.89 ] }...
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), [[785.88, 811.96]]) <= 50.0", "assert check_distance(predict_position(0.20), [[788.56, 799.94]]) <= 50.0", "assert check_distance(predict_position(0.30), [[729.48, 702.87]]) <= 50.0", "assert check_distance(predict_position(0.40), [[717.03, 670.02]]) <= 50.0", ...
ballsim
F_4_700
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 712, 726 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 10, "velocity": [ 738.87, 859.67 ] }...
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), [[811.91, 850.83]]) <= 50.0", "assert check_distance(predict_position(0.20), [[761.6, 750.66]]) <= 50.0", "assert check_distance(predict_position(0.30), [[711.15, 650.23]]) <= 50.0", "assert check_distance(predict_position(0.40), [[768.12, 697.74]]) <= 50.0", "...
ballsim
F_4_957
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 738, 780 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 797.12, 787.99 ] } ...
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), [[633.14, 796.51]]) <= 50.0", "assert check_distance(predict_position(0.20), [[711.19, 708.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[726.32, 673.04]]) <= 50.0", "assert check_distance(predict_position(0.40), [[632.11, 734.61]]) <= 50.0", "...
ballsim
F_4_940
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 731, 737 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -1003.23, 615.67 ] ...
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), [[830.33, 766.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[805.96, 773.62]]) <= 50.0", "assert check_distance(predict_position(0.30), [[707.91, 750.73]]) <= 50.0", "assert check_distance(predict_position(0.40), [[692.85, 758.02]]) <= 50.0", ...
ballsim
F_4_800
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 745, 713 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 853.15, 530.16 ] } ...
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), [[671.9, 800.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[731.73, 786.79]]) <= 50.0", "assert check_distance(predict_position(0.30), [[841.62, 751.93]]) <= 50.0", "assert check_distance(predict_position(0.40), [[785.48, 771.02]]) <= 50.0", "...
ballsim
F_4_792
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 774, 748 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ -1020.99, 529.35 ] ...
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), [[704.93, 637.72]]) <= 50.0", "assert check_distance(predict_position(0.20), [[735.86, 743.41]]) <= 50.0", "assert check_distance(predict_position(0.30), [[766.87, 849.36]]) <= 50.0", "assert check_distance(predict_position(0.40), [[719.26, 765.34]]) <= 50.0", ...
ballsim
F_4_325
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 711, 742 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -70.65, -1098.87 ] ...
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), [[672.04, 748.33]]) <= 50.0", "assert check_distance(predict_position(0.20), [[713.76, 637.28]]) <= 50.0", "assert check_distance(predict_position(0.30), [[819.07, 692.66]]) <= 50.0", "assert check_distance(predict_position(0.40), [[833.75, 804.68]]) <= 50.0", ...
ballsim
F_4_580
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 739, 770 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ -1178.39, 210.18 ] ...
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), [[843.05, 819.29]]) <= 50.0", "assert check_distance(predict_position(0.20), [[774.97, 768.67]]) <= 50.0", "assert check_distance(predict_position(0.30), [[698.73, 691.18]]) <= 50.0", "assert check_distance(predict_position(0.40), [[686.45, 724.31]]) <= 50.0", ...
ballsim
F_4_967
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 767, 742 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 760.5, 773.05 ] } ...
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), [[669.46, 701.13]]) <= 50.0", "assert check_distance(predict_position(0.20), [[656.23, 764.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[685.79, 835.28]]) <= 50.0", "assert check_distance(predict_position(0.40), [[715.29, 736.38]]) <= 50.0", ...
ballsim
F_4_576
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 772, 713 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 10, "velocity": [ -1025.29, -118.68 ] ...
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), [[748.45, 820.89]]) <= 50.0", "assert check_distance(predict_position(0.20), [[709.9, 813.52]]) <= 50.0", "assert check_distance(predict_position(0.30), [[671.25, 702.35]]) <= 50.0", "assert check_distance(predict_position(0.40), [[720.06, 711.69]]) <= 50.0", "...
ballsim
F_4_988
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 787, 710 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -385.47, 1108.97 ] ...
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), [[845.03, 741.2]]) <= 50.0", "assert check_distance(predict_position(0.20), [[777.69, 837.83]]) <= 50.0", "assert check_distance(predict_position(0.30), [[710.19, 811.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[678.75, 714.57]]) <= 50.0", "a...
ballsim
F_4_841
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 745, 785 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 1068.55, -495.24 ] ...
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), [[787.71, 793.22]]) <= 50.0", "assert check_distance(predict_position(0.20), [[783.41, 681.73]]) <= 50.0", "assert check_distance(predict_position(0.30), [[734.54, 658.84]]) <= 50.0", "assert check_distance(predict_position(0.40), [[654.56, 736.65]]) <= 50.0", ...
ballsim
F_4_370
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 742, 784 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 758.06, 818.81 ] } ...
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), [[809.11, 827.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[836.7, 757.9]]) <= 50.0", "assert check_distance(predict_position(0.30), [[788.32, 734.61]]) <= 50.0", "assert check_distance(predict_position(0.40), [[690.71, 779.29]]) <= 50.0", "a...
ballsim
F_4_28
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 725, 761 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 10, "velocity": [ 841.11, 666.78 ] }...
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), [[769.57, 678.0]]) <= 50.0", "assert check_distance(predict_position(0.20), [[715.67, 730.42]]) <= 50.0", "assert check_distance(predict_position(0.30), [[698.41, 816.6]]) <= 50.0", "assert check_distance(predict_position(0.40), [[784.83, 856.36]]) <= 50.0", "a...
ballsim
F_4_727
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 712, 779 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 575.73, -1010.03 ] ...
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), [[787.76, 857.26]]) <= 50.0", "assert check_distance(predict_position(0.20), [[838.9, 790.91]]) <= 50.0", "assert check_distance(predict_position(0.30), [[800.03, 677.32]]) <= 50.0", "assert check_distance(predict_position(0.40), [[734.06, 718.28]]) <= 50.0", "...
ballsim
F_4_38
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 759, 741 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 287.52, 1162.56 ] }...
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), [[743.86, 849.07]]) <= 50.0", "assert check_distance(predict_position(0.20), [[747.71, 742.23]]) <= 50.0", "assert check_distance(predict_position(0.30), [[751.91, 635.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[739.52, 711.16]]) <= 50.0", ...
ballsim
F_4_984
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 740, 790 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 38.68, 1068.37 ] } ...
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), [[815.27, 687.36]]) <= 50.0", "assert check_distance(predict_position(0.20), [[787.09, 706.1]]) <= 50.0", "assert check_distance(predict_position(0.30), [[693.6, 751.91]]) <= 50.0", "assert check_distance(predict_position(0.40), [[729.27, 797.62]]) <= 50.0", "a...
ballsim
F_4_955
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 717, 721 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 982.6, -336.34 ] } ...
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), [[673.77, 718.47]]) <= 50.0", "assert check_distance(predict_position(0.20), [[695.16, 698.94]]) <= 50.0", "assert check_distance(predict_position(0.30), [[808.68, 679.36]]) <= 50.0", "assert check_distance(predict_position(0.40), [[876.76, 757.06]]) <= 50.0", ...
ballsim
F_4_509
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 787, 738 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ -1132.37, -195.32 ] ...
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), [[822.32, 794.34]]) <= 50.0", "assert check_distance(predict_position(0.20), [[780.57, 827.63]]) <= 50.0", "assert check_distance(predict_position(0.30), [[710.43, 829.09]]) <= 50.0", "assert check_distance(predict_position(0.40), [[797.86, 773.25]]) <= 50.0", ...
ballsim
F_4_732
4
[ 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": [ 100, 255, 200 ], "density": 1, "position": [ 747, 723 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 9, "velocity": [ 753.29, 713.29 ] } ...
50
function
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