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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), [[763.66, 857.31]]) <= 50.0", "assert check_distance(predict_position(0.20), [[789.56, 901.77]]) <= 50.0", "assert check_distance(predict_position(0.30), [[886.07, 776.01]]) <= 50.0", "assert check_distance(predict_position(0.40), [[914.66, 678.61]]) <= 50.0", ...
ballsim
C_3_47
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 758, 764 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 56.64, 933.02 ] } ...
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), [[838.22, 712.58]]) <= 50.0", "assert check_distance(predict_position(0.20), [[856.26, 763.83]]) <= 50.0", "assert check_distance(predict_position(0.30), [[874.35, 815.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[864.49, 799.08]]) <= 50.0", "...
ballsim
C_3_1018
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 788, 739 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 681.82, -697.85 ] } ...
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), [[647.91, 798.56]]) <= 50.0", "assert check_distance(predict_position(0.20), [[788.53, 820.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[907.12, 830.94]]) <= 50.0", "assert check_distance(predict_position(0.40), [[792.03, 729.33]]) <= 50.0", ...
ballsim
C_3_288
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 715, 777 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -942.93, 215.49 ] } ...
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), [[802.38, 870.21]]) <= 50.0", "assert check_distance(predict_position(0.20), [[791.97, 913.26]]) <= 50.0", "assert check_distance(predict_position(0.30), [[714.02, 793.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[697.64, 661.9]]) <= 50.0", "...
ballsim
C_3_617
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 792, 777 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 103.85, 932.21 ] } ...
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), [[720.43, 692.22]]) <= 50.0", "assert check_distance(predict_position(0.20), [[664.3, 724.1]]) <= 50.0", "assert check_distance(predict_position(0.30), [[750.1, 756.07]]) <= 50.0", "assert check_distance(predict_position(0.40), [[844.95, 787.95]]) <= 50.0", "as...
ballsim
C_3_975
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 765, 711 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -297.49, -836.9 ] } ...
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), [[796.27, 875.55]]) <= 50.0", "assert check_distance(predict_position(0.20), [[803.28, 903.51]]) <= 50.0", "assert check_distance(predict_position(0.30), [[745.03, 773.99]]) <= 50.0", "assert check_distance(predict_position(0.40), [[705.59, 652.52]]) <= 50.0", ...
ballsim
C_3_583
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 765, 789 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 312.66, 865.42 ] } ...
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), [[848.46, 801.49]]) <= 50.0", "assert check_distance(predict_position(0.20), [[914.91, 851.98]]) <= 50.0", "assert check_distance(predict_position(0.30), [[851.56, 839.98]]) <= 50.0", "assert check_distance(predict_position(0.40), [[771.94, 820.11]]) <= 50.0", ...
ballsim
C_3_803
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 782, 751 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 664.53, 504.77 ] } ...
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), [[677.53, 720.41]]) <= 50.0", "assert check_distance(predict_position(0.20), [[782.47, 782.74]]) <= 50.0", "assert check_distance(predict_position(0.30), [[887.66, 845.22]]) <= 50.0", "assert check_distance(predict_position(0.40), [[906.13, 698.77]]) <= 50.0", ...
ballsim
C_3_537
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 739, 727 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -871.04, -172.18 ] }...
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), [[747.91, 878.25]]) <= 50.0", "assert check_distance(predict_position(0.20), [[765.57, 871.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[836.14, 736.52]]) <= 50.0", "assert check_distance(predict_position(0.40), [[906.52, 602.2]]) <= 50.0", "...
ballsim
C_3_700
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 766, 799 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -180.81, 792.51 ] } ...
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), [[718.12, 723.11]]) <= 50.0", "assert check_distance(predict_position(0.20), [[678.57, 804.36]]) <= 50.0", "assert check_distance(predict_position(0.30), [[798.31, 819.77]]) <= 50.0", "assert check_distance(predict_position(0.40), [[937.71, 790.34]]) <= 50.0", ...
ballsim
C_3_957
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 783, 703 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -864.17, -319.18 ] }...
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), [[772.93, 714.56]]) <= 50.0", "assert check_distance(predict_position(0.20), [[782.01, 766.39]]) <= 50.0", "assert check_distance(predict_position(0.30), [[791.12, 818.35]]) <= 50.0", "assert check_distance(predict_position(0.40), [[790.83, 829.12]]) <= 50.0", ...
ballsim
C_3_940
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 751, 719 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 384.48, -767.91 ] } ...
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), [[712.23, 713.99]]) <= 50.0", "assert check_distance(predict_position(0.20), [[738.51, 728.06]]) <= 50.0", "assert check_distance(predict_position(0.30), [[775.1, 766.91]]) <= 50.0", "assert check_distance(predict_position(0.40), [[811.6, 805.65]]) <= 50.0", "a...
ballsim
C_3_800
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 727, 799 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -147.64, -849.98 ] }...
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), [[775.4, 671.57]]) <= 50.0", "assert check_distance(predict_position(0.20), [[853.08, 686.3]]) <= 50.0", "assert check_distance(predict_position(0.30), [[930.96, 701.05]]) <= 50.0", "assert check_distance(predict_position(0.40), [[964.74, 729.82]]) <= 50.0", "a...
ballsim
C_3_792
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 728, 730 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 394.97, -774.81 ] } ...
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), [[683.49, 775.48]]) <= 50.0", "assert check_distance(predict_position(0.20), [[745.48, 767.96]]) <= 50.0", "assert check_distance(predict_position(0.30), [[894.09, 760.42]]) <= 50.0", "assert check_distance(predict_position(0.40), [[899.42, 684.07]]) <= 50.0", ...
ballsim
C_3_325
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 783, 783 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -995.13, -75.29 ] } ...
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), [[750.74, 744.78]]) <= 50.0", "assert check_distance(predict_position(0.20), [[803.06, 841.73]]) <= 50.0", "assert check_distance(predict_position(0.30), [[827.35, 815.55]]) <= 50.0", "assert check_distance(predict_position(0.40), [[814.38, 626.53]]) <= 50.0", ...
ballsim
C_3_580
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 748, 710 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -695.93, -559.21 ] }...
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), [[681.42, 720.44]]) <= 50.0", "assert check_distance(predict_position(0.20), [[811.42, 731.96]]) <= 50.0", "assert check_distance(predict_position(0.30), [[941.75, 743.51]]) <= 50.0", "assert check_distance(predict_position(0.40), [[887.04, 678.52]]) <= 50.0", ...
ballsim
C_3_967
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 723, 780 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -665.2, -698.89 ] } ...
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), [[730.37, 811.87]]) <= 50.0", "assert check_distance(predict_position(0.20), [[754.73, 898.73]]) <= 50.0", "assert check_distance(predict_position(0.30), [[883.03, 855.59]]) <= 50.0", "assert check_distance(predict_position(0.40), [[888.5, 718.14]]) <= 50.0", "...
ballsim
C_3_576
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 706, 725 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 243.73, 868.62 ] } ...
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), [[837.02, 763.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[910.04, 797.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[901.97, 793.22]]) <= 50.0", "assert check_distance(predict_position(0.40), [[824.02, 754.94]]) <= 50.0", ...
ballsim
C_3_988
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 764, 729 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 730.22, 344.3 ] } ...
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), [[844.33, 751.27]]) <= 50.0", "assert check_distance(predict_position(0.20), [[931.66, 725.54]]) <= 50.0", "assert check_distance(predict_position(0.30), [[912.78, 743.83]]) <= 50.0", "assert check_distance(predict_position(0.40), [[893.44, 762.29]]) <= 50.0", ...
ballsim
C_3_841
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 757, 777 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 873.31, -257.29 ] } ...
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), [[755.37, 682.77]]) <= 50.0", "assert check_distance(predict_position(0.20), [[801.04, 661.65]]) <= 50.0", "assert check_distance(predict_position(0.30), [[839.64, 671.95]]) <= 50.0", "assert check_distance(predict_position(0.40), [[878.14, 682.23]]) <= 50.0", ...
ballsim
C_3_370
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 701, 742 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 543.72, -592.4 ] } ...
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), [[638.85, 801.69]]) <= 50.0", "assert check_distance(predict_position(0.20), [[724.17, 896.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[896.24, 847.45]]) <= 50.0", "assert check_distance(predict_position(0.40), [[867.14, 699.41]]) <= 50.0", ...
ballsim
C_3_28
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 708, 736 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -765.62, 626.22 ] } ...
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), [[679.8, 737.41]]) <= 50.0", "assert check_distance(predict_position(0.20), [[726.42, 736.83]]) <= 50.0", "assert check_distance(predict_position(0.30), [[854.33, 736.24]]) <= 50.0", "assert check_distance(predict_position(0.40), [[945.99, 718.35]]) <= 50.0", "...
ballsim
C_3_727
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 761, 738 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -812.1, -5.85 ] } ...
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), [[684.47, 732.68]]) <= 50.0", "assert check_distance(predict_position(0.20), [[724.63, 780.9]]) <= 50.0", "assert check_distance(predict_position(0.30), [[815.5, 850.21]]) <= 50.0", "assert check_distance(predict_position(0.40), [[837.51, 753.64]]) <= 50.0", "a...
ballsim
C_3_38
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 776, 739 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -915.25, -63.27 ] } ...
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), [[829.04, 855.43]]) <= 50.0", "assert check_distance(predict_position(0.20), [[839.86, 878.16]]) <= 50.0", "assert check_distance(predict_position(0.30), [[787.85, 749.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[735.97, 620.56]]) <= 50.0", "...
ballsim
C_3_984
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 791, 767 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 380.3, 884.28 ] } ...
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), [[808.84, 756.92]]) <= 50.0", "assert check_distance(predict_position(0.20), [[899.69, 773.84]]) <= 50.0", "assert check_distance(predict_position(0.30), [[905.76, 749.87]]) <= 50.0", "assert check_distance(predict_position(0.40), [[831.18, 687.12]]) <= 50.0", ...
ballsim
C_3_955
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 718, 740 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 908.48, 169.13 ] } ...
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), [[721.32, 681.98]]) <= 50.0", "assert check_distance(predict_position(0.20), [[805.92, 680.88]]) <= 50.0", "assert check_distance(predict_position(0.30), [[899.61, 690.91]]) <= 50.0", "assert check_distance(predict_position(0.40), [[959.15, 717.26]]) <= 50.0", ...
ballsim
C_3_509
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 714, 780 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 73.23, -980.13 ] } ...
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), [[788.59, 742.48]]) <= 50.0", "assert check_distance(predict_position(0.20), [[766.05, 792.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[743.46, 843.29]]) <= 50.0", "assert check_distance(predict_position(0.40), [[790.03, 726.78]]) <= 50.0", ...
ballsim
C_3_732
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 800, 719 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 331.36, -840.95 ] } ...
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), [[833.12, 858.76]]) <= 50.0", "assert check_distance(predict_position(0.20), [[864.86, 871.53]]) <= 50.0", "assert check_distance(predict_position(0.30), [[862.05, 732.51]]) <= 50.0", "assert check_distance(predict_position(0.40), [[859.24, 593.84]]) <= 50.0", ...
ballsim
C_3_405
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 787, 783 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 461.26, 757.46 ] } ...
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), [[699.24, 868.9]]) <= 50.0", "assert check_distance(predict_position(0.20), [[774.98, 826.73]]) <= 50.0", "assert check_distance(predict_position(0.30), [[911.94, 707.93]]) <= 50.0", "assert check_distance(predict_position(0.40), [[868.11, 676.31]]) <= 50.0", "...
ballsim
C_3_756
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 732, 775 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -327.66, 938.92 ] } ...
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), [[728.58, 723.52]]) <= 50.0", "assert check_distance(predict_position(0.20), [[709.38, 702.2]]) <= 50.0", "assert check_distance(predict_position(0.30), [[749.3, 754.99]]) <= 50.0", "assert check_distance(predict_position(0.40), [[789.12, 807.65]]) <= 50.0", "a...
ballsim
C_3_718
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 783, 789 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -544.09, -654.8 ] } ...
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), [[788.8, 718.88]]) <= 50.0", "assert check_distance(predict_position(0.20), [[891.26, 746.94]]) <= 50.0", "assert check_distance(predict_position(0.30), [[953.61, 755.62]]) <= 50.0", "assert check_distance(predict_position(0.40), [[855.12, 686.92]]) <= 50.0", "...
ballsim
C_3_396
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 708, 718 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 148.2, -818.36 ] } ...
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), [[714.02, 774.23]]) <= 50.0", "assert check_distance(predict_position(0.20), [[695.57, 781.45]]) <= 50.0", "assert check_distance(predict_position(0.30), [[822.66, 788.7]]) <= 50.0", "assert check_distance(predict_position(0.40), [[922.44, 782.92]]) <= 50.0", "...
ballsim
C_3_829
3
[ 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": [ 120, 220, 80 ], "density": 1, "position": [ 796, 767 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -819.85, 72.25 ] } ...
50
function
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