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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), [[732.54, 702.32]]) <= 50.0", "assert check_distance(predict_position(0.20), [[760.08, 632.64]]) <= 50.0", "assert check_distance(predict_position(0.30), [[773.33, 625.66]]) <= 50.0", "assert check_distance(predict_position(0.40), [[767.77, 701.0]]) <= 50.0", "...
ballsim
C_2_47
2
[ 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": [ 705, 772 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 275.29, -696.87 ] } ...
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), [[753.57, 861.96]]) <= 50.0", "assert check_distance(predict_position(0.20), [[808.13, 862.32]]) <= 50.0", "assert check_distance(predict_position(0.30), [[862.83, 807.23]]) <= 50.0", "assert check_distance(predict_position(0.40), [[917.4, 752.27]]) <= 50.0", "...
ballsim
C_2_1018
2
[ 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": [ 699, 807 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 545.66, 549.63 ] } ...
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), [[685.98, 776.25]]) <= 50.0", "assert check_distance(predict_position(0.20), [[677.04, 724.93]]) <= 50.0", "assert check_distance(predict_position(0.30), [[734.8, 634.96]]) <= 50.0", "assert check_distance(predict_position(0.40), [[792.42, 675.55]]) <= 50.0", "...
ballsim
C_2_288
2
[ 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": [ 760, 790 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -740.19, -137.49 ] }...
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), [[723.42, 740.33]]) <= 50.0", "assert check_distance(predict_position(0.20), [[664.85, 734.32]]) <= 50.0", "assert check_distance(predict_position(0.30), [[735.11, 802.75]]) <= 50.0", "assert check_distance(predict_position(0.40), [[805.21, 871.02]]) <= 50.0", ...
ballsim
C_2_617
2
[ 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": [ 797, 755 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -735.9, -146.8 ] } ...
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), [[764.01, 681.02]]) <= 50.0", "assert check_distance(predict_position(0.20), [[748.02, 609.18]]) <= 50.0", "assert check_distance(predict_position(0.30), [[731.99, 685.35]]) <= 50.0", "assert check_distance(predict_position(0.40), [[716.0, 761.33]]) <= 50.0", "...
ballsim
C_2_975
2
[ 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": [ 780, 757 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -159.97, -759.86 ] }...
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), [[852.06, 675.68]]) <= 50.0", "assert check_distance(predict_position(0.20), [[913.12, 650.37]]) <= 50.0", "assert check_distance(predict_position(0.30), [[882.04, 669.44]]) <= 50.0", "assert check_distance(predict_position(0.40), [[837.63, 694.93]]) <= 50.0", ...
ballsim
C_2_583
2
[ 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, 701 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 610.5, -253.08 ] } ...
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), [[837.54, 778.76]]) <= 50.0", "assert check_distance(predict_position(0.20), [[895.09, 831.52]]) <= 50.0", "assert check_distance(predict_position(0.30), [[871.37, 845.21]]) <= 50.0", "assert check_distance(predict_position(0.40), [[798.2, 835.03]]) <= 50.0", "...
ballsim
C_2_803
2
[ 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": [ 780, 726 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 575.38, 527.7 ] } ...
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), [[682.14, 723.96]]) <= 50.0", "assert check_distance(predict_position(0.20), [[668.26, 684.92]]) <= 50.0", "assert check_distance(predict_position(0.30), [[748.93, 645.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[827.48, 615.14]]) <= 50.0", ...
ballsim
C_2_537
2
[ 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": [ 735, 763 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -528.68, -390.31 ] }...
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), [[855.3, 724.99]]) <= 50.0", "assert check_distance(predict_position(0.20), [[909.59, 685.97]]) <= 50.0", "assert check_distance(predict_position(0.30), [[881.12, 686.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[823.65, 701.61]]) <= 50.0", "...
ballsim
C_2_700
2
[ 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": [ 801, 764 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 542.9, -390.07 ] } ...
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), [[760.23, 804.09]]) <= 50.0", "assert check_distance(predict_position(0.20), [[825.47, 844.18]]) <= 50.0", "assert check_distance(predict_position(0.30), [[890.14, 881.18]]) <= 50.0", "assert check_distance(predict_position(0.40), [[912.61, 803.59]]) <= 50.0", ...
ballsim
C_2_957
2
[ 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": [ 695, 764 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 652.46, 400.79 ] } ...
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), [[644.17, 794.08]]) <= 50.0", "assert check_distance(predict_position(0.20), [[739.45, 800.16]]) <= 50.0", "assert check_distance(predict_position(0.30), [[864.01, 806.25]]) <= 50.0", "assert check_distance(predict_position(0.40), [[869.22, 755.01]]) <= 50.0", ...
ballsim
C_2_940
2
[ 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, 788 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -788.23, 60.79 ] } ...
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), [[812.87, 747.86]]) <= 50.0", "assert check_distance(predict_position(0.20), [[878.74, 727.72]]) <= 50.0", "assert check_distance(predict_position(0.30), [[944.77, 707.52]]) <= 50.0", "assert check_distance(predict_position(0.40), [[875.6, 752.4]]) <= 50.0", "a...
ballsim
C_2_800
2
[ 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": [ 747, 768 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 658.69, -201.48 ] } ...
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), [[672.87, 670.72]]) <= 50.0", "assert check_distance(predict_position(0.20), [[781.22, 726.1]]) <= 50.0", "assert check_distance(predict_position(0.30), [[889.84, 781.61]]) <= 50.0", "assert check_distance(predict_position(0.40), [[850.76, 751.86]]) <= 50.0", "...
ballsim
C_2_792
2
[ 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": [ 725, 708 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -572.89, -402.62 ] }...
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), [[735.22, 663.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[764.4, 592.03]]) <= 50.0", "assert check_distance(predict_position(0.30), [[760.24, 666.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[756.09, 740.6]]) <= 50.0", "a...
ballsim
C_2_325
2
[ 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, 736 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 292.3, -721 ] } ],...
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), [[678.84, 722.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[663.33, 757.18]]) <= 50.0", "assert check_distance(predict_position(0.30), [[713.35, 829.48]]) <= 50.0", "assert check_distance(predict_position(0.40), [[763.25, 877.63]]) <= 50.0", ...
ballsim
C_2_580
2
[ 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": [ 742, 716 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -631.7, 68.35 ] } ...
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), [[668.68, 809.47]]) <= 50.0", "assert check_distance(predict_position(0.20), [[777.98, 743.41]]) <= 50.0", "assert check_distance(predict_position(0.30), [[887.55, 677.18]]) <= 50.0", "assert check_distance(predict_position(0.40), [[811.64, 718.05]]) <= 50.0", ...
ballsim
C_2_967
2
[ 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": [ 711, 788 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -658.92, 350.93 ] } ...
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), [[763.59, 848.35]]) <= 50.0", "assert check_distance(predict_position(0.20), [[741.18, 878.07]]) <= 50.0", "assert check_distance(predict_position(0.30), [[718.71, 818.57]]) <= 50.0", "assert check_distance(predict_position(0.40), [[696.3, 759.22]]) <= 50.0", "...
ballsim
C_2_576
2
[ 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": [ 786, 789 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -224.17, 593.42 ] } ...
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), [[714.01, 647.37]]) <= 50.0", "assert check_distance(predict_position(0.20), [[770.43, 620.97]]) <= 50.0", "assert check_distance(predict_position(0.30), [[871.95, 620.46]]) <= 50.0", "assert check_distance(predict_position(0.40), [[830.26, 702.48]]) <= 50.0", ...
ballsim
C_2_988
2
[ 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": [ 729, 715 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -149.92, -676.24 ] }...
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), [[856.29, 723.45]]) <= 50.0", "assert check_distance(predict_position(0.20), [[927.58, 712.91]]) <= 50.0", "assert check_distance(predict_position(0.30), [[903.34, 757.59]]) <= 50.0", "assert check_distance(predict_position(0.40), [[869.26, 807.88]]) <= 50.0", ...
ballsim
C_2_841
2
[ 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": [ 785, 734 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 712.95, -105.49 ] } ...
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), [[699.99, 665.95]]) <= 50.0", "assert check_distance(predict_position(0.20), [[725.74, 655.31]]) <= 50.0", "assert check_distance(predict_position(0.30), [[811.33, 679.15]]) <= 50.0", "assert check_distance(predict_position(0.40), [[896.71, 702.92]]) <= 50.0", ...
ballsim
C_2_370
2
[ 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, 714 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -390.1, -480.47 ] } ...
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), [[763.39, 643.98]]) <= 50.0", "assert check_distance(predict_position(0.20), [[759.77, 651.81]]) <= 50.0", "assert check_distance(predict_position(0.30), [[756.15, 727.03]]) <= 50.0", "assert check_distance(predict_position(0.40), [[752.54, 802.05]]) <= 50.0", ...
ballsim
C_2_28
2
[ 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": [ 767, 719 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -36.02, -750.16 ] } ...
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), [[647.68, 827.43]]) <= 50.0", "assert check_distance(predict_position(0.20), [[680.68, 728.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[713.77, 629.97]]) <= 50.0", "assert check_distance(predict_position(0.40), [[808.23, 608.42]]) <= 50.0", ...
ballsim
C_2_727
2
[ 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": [ 712, 804 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -694.11, 297.99 ] } ...
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), [[701.96, 657.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[751.51, 671.89]]) <= 50.0", "assert check_distance(predict_position(0.30), [[829.48, 721.48]]) <= 50.0", "assert check_distance(predict_position(0.40), [[907.27, 770.94]]) <= 50.0", ...
ballsim
C_2_38
2
[ 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, 721 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -120.34, -631.6 ] } ...
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), [[753.82, 857.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[794.13, 899.61]]) <= 50.0", "assert check_distance(predict_position(0.30), [[811.75, 842.43]]) <= 50.0", "assert check_distance(predict_position(0.40), [[829.33, 785.4]]) <= 50.0", "...
ballsim
C_2_984
2
[ 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": [ 712, 808 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 418.15, 491.21 ] } ...
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), [[669.89, 714.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[670.85, 694.91]]) <= 50.0", "assert check_distance(predict_position(0.30), [[737.96, 757.88]]) <= 50.0", "assert check_distance(predict_position(0.40), [[804.9, 820.7]]) <= 50.0", "a...
ballsim
C_2_955
2
[ 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": [ 705, 780 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -351.12, -651.63 ] }...
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), [[748.67, 696.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[715.35, 627.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[788.14, 619.93]]) <= 50.0", "assert check_distance(predict_position(0.40), [[868.37, 625.26]]) <= 50.0", ...
ballsim
C_2_509
2
[ 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, 766 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -333.31, -690.77 ] }...
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), [[680.79, 781.99]]) <= 50.0", "assert check_distance(predict_position(0.20), [[699.03, 792.97]]) <= 50.0", "assert check_distance(predict_position(0.30), [[802.39, 803.99]]) <= 50.0", "assert check_distance(predict_position(0.40), [[905.49, 814.97]]) <= 50.0", ...
ballsim
C_2_732
2
[ 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": [ 741, 771 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -602.15, 109.9 ] } ...
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), [[728.55, 693.32]]) <= 50.0", "assert check_distance(predict_position(0.20), [[711.09, 638.93]]) <= 50.0", "assert check_distance(predict_position(0.30), [[807.08, 649.92]]) <= 50.0", "assert check_distance(predict_position(0.40), [[879.39, 674.42]]) <= 50.0", ...
ballsim
C_2_405
2
[ 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": [ 769, 761 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -404.65, -676.75 ] }...
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), [[623.12, 753.55]]) <= 50.0", "assert check_distance(predict_position(0.20), [[678.95, 669.91]]) <= 50.0", "assert check_distance(predict_position(0.30), [[748.66, 633.8]]) <= 50.0", "assert check_distance(predict_position(0.40), [[818.19, 723.06]]) <= 50.0", "...
ballsim
C_2_756
2
[ 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": [ 700, 762 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -768.85, -84.49 ] } ...
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), [[804.47, 809.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[808.94, 884.83]]) <= 50.0", "assert check_distance(predict_position(0.30), [[813.41, 825.33]]) <= 50.0", "assert check_distance(predict_position(0.40), [[817.88, 749.92]]) <= 50.0", ...
ballsim
C_2_718
2
[ 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, 734 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 44.73, 754.2 ] } ]...
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), [[868.02, 807.45]]) <= 50.0", "assert check_distance(predict_position(0.20), [[907.82, 796.44]]) <= 50.0", "assert check_distance(predict_position(0.30), [[886.45, 750.04]]) <= 50.0", "assert check_distance(predict_position(0.40), [[865.14, 703.75]]) <= 50.0", ...
ballsim
C_2_396
2
[ 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": [ 798, 801 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 700.23, 64.43 ] } ...
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), [[732.54, 684.52]]) <= 50.0", "assert check_distance(predict_position(0.20), [[734.08, 622.05]]) <= 50.0", "assert check_distance(predict_position(0.30), [[735.62, 661.35]]) <= 50.0", "assert check_distance(predict_position(0.40), [[737.16, 723.82]]) <= 50.0", ...
ballsim
C_2_829
2
[ 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": [ 731, 747 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 15.32, -624.74 ] } ...
50
function
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