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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), [[762.87, 721.39], [682.47, 879.3]]) <= 50.0", "assert check_distance(predict_position(0.20), [[775.73, 691.79], [664.94, 891.59]]) <= 50.0", "assert check_distance(predict_position(0.30), [[788.63, 661.1], [647.37, 902.91]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 199, 233, 122 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 128.65, -281.06 ] }...
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), [[717.09, 752.2], [731.98, 695.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[684.18, 753.4], [756.95, 701.83]]) <= 50.0", "assert check_distance(predict_position(0.30), [[651.19, 753.6], [781.99, 706.75]]) <= 50.0", "assert check_distance(predi...
ballsim
DG_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": [ 180, 244, 169 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -329.04, 27.03 ] },...
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), [[758.57, 726.66], [708.68, 820.4]]) <= 50.0", "assert check_distance(predict_position(0.20), [[767.14, 702.31], [728.36, 841.8]]) <= 50.0", "assert check_distance(predict_position(0.30), [[775.73, 676.91], [748.08, 862.26]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 114, 193, 252 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 85.77, -228.42 ] },...
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), [[749.27, 780.67], [838.77, 857.94]]) <= 50.0", "assert check_distance(predict_position(0.20), [[748.54, 810.34], [837.22, 862.56]]) <= 50.0", "assert check_distance(predict_position(0.30), [[747.8, 839.08], [820.14, 839.29]]) <= 50.0", "assert check_distance(pre...
ballsim
DG_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": [ 94, 123, 194 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -7.24, 311.72 ] }, ...
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), [[754.79, 729.43], [876.07, 682.37]]) <= 50.0", "assert check_distance(predict_position(0.20), [[759.57, 707.86], [900.14, 663.75]]) <= 50.0", "assert check_distance(predict_position(0.30), [[764.37, 685.23], [924.28, 644.07]]) <= 50.0", "assert check_distance(pr...
ballsim
DG_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": [ 226, 165, 226 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 47.75, -200.71 ] },...
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), [[746.9, 721.91], [835.5, 796.2]]) <= 50.0", "assert check_distance(predict_position(0.20), [[743.8, 692.83], [852.01, 818.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[740.69, 662.67], [868.55, 839.65]]) <= 50.0", "assert check_distance(predict...
ballsim
DG_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": [ 102, 189, 222 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -31.01, -275.84 ] }...
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), [[762.84, 714.71], [685.32, 692.73]]) <= 50.0", "assert check_distance(predict_position(0.20), [[775.68, 678.42], [710.63, 661.45]]) <= 50.0", "assert check_distance(predict_position(0.30), [[788.56, 641.03], [736.02, 629.1]]) <= 50.0", "assert check_distance(pre...
ballsim
DG_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": [ 211, 158, 52 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 128.49, -347.9 ] }, ...
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), [[766.87, 765.7], [694.8, 753.45]]) <= 50.0", "assert check_distance(predict_position(0.20), [[783.74, 780.39], [717.61, 744.89]]) <= 50.0", "assert check_distance(predict_position(0.30), [[800.65, 794.12], [740.47, 735.31]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 224, 132, 179 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 168.61, 161.98 ] },...
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), [[754.79, 729.43], [876.07, 682.37]]) <= 50.0", "assert check_distance(predict_position(0.20), [[759.57, 707.86], [900.14, 663.75]]) <= 50.0", "assert check_distance(predict_position(0.30), [[764.37, 685.23], [924.28, 644.07]]) <= 50.0", "assert check_distance(pr...
ballsim
DG_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": [ 226, 165, 226 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 47.75, -200.71 ] },...
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), [[722.88, 724.7], [813.72, 735.88]]) <= 50.0", "assert check_distance(predict_position(0.20), [[695.75, 698.4], [823.43, 715.75]]) <= 50.0", "assert check_distance(predict_position(0.30), [[668.56, 671.04], [833.17, 694.58]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 130, 52, 115 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -271.21, -247.97 ] }...
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), [[757.35, 713.51], [716.02, 825.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[764.7, 676.02], [735.04, 855.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[772.06, 637.44], [754.1, 884.88]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 179, 173, 128 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 73.59, -359.87 ] },...
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), [[722.75, 765.42], [779.13, 809.86]]) <= 50.0", "assert check_distance(predict_position(0.20), [[695.51, 779.84], [786.26, 828.71]]) <= 50.0", "assert check_distance(predict_position(0.30), [[668.19, 793.29], [793.4, 846.61]]) <= 50.0", "assert check_distance(pre...
ballsim
DG_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": [ 130, 126, 134 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -272.41, 159.2 ] },...
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), [[765.23, 725.45], [812.06, 741.82]]) <= 50.0", "assert check_distance(predict_position(0.20), [[780.47, 699.9], [801.12, 722.64]]) <= 50.0", "assert check_distance(predict_position(0.30), [[791.95, 666.73], [793.95, 708.97]]) <= 50.0", "assert check_distance(pre...
ballsim
DG_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": [ 175, 104, 231 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 152.23, -240.49 ] }...
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), [[780.27, 774.19], [741.94, 658.08]]) <= 50.0", "assert check_distance(predict_position(0.20), [[810.55, 797.38], [707.88, 639.17]]) <= 50.0", "assert check_distance(predict_position(0.30), [[840.9, 819.62], [673.74, 619.2]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 189, 93, 103 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 302.66, 246.91 ] }, ...
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), [[729.05, 759.25], [712.0, 712.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[708.11, 767.5], [691.01, 719.24]]) <= 50.0", "assert check_distance(predict_position(0.30), [[687.11, 774.77], [669.96, 725.37]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 69, 113, 207 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -209.59, 97.51 ] }, ...
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), [[729.88, 728.97], [743.57, 775.63]]) <= 50.0", "assert check_distance(predict_position(0.20), [[709.77, 691.64], [730.14, 763.25]]) <= 50.0", "assert check_distance(predict_position(0.30), [[689.6, 653.21], [716.68, 749.84]]) <= 50.0", "assert check_distance(pre...
ballsim
DG_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": [ 202, 182, 127 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -201.16, -97.67 ] }...
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), [[731.79, 717.38], [807.56, 742.97]]) <= 50.0", "assert check_distance(predict_position(0.20), [[713.57, 683.77], [786.13, 744.95]]) <= 50.0", "assert check_distance(predict_position(0.30), [[695.32, 649.06], [764.64, 745.92]]) <= 50.0", "assert check_distance(pr...
ballsim
DG_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": [ 147, 122, 227 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -182.15, -321.15 ] ...
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), [[746.22, 777.74], [688.16, 644.04]]) <= 50.0", "assert check_distance(predict_position(0.20), [[742.43, 804.47], [673.31, 624.08]]) <= 50.0", "assert check_distance(predict_position(0.30), [[738.64, 830.27], [658.43, 603.07]]) <= 50.0", "assert check_distance(pr...
ballsim
DG_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": [ 138, 175, 62 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -37.96, 282.38 ] }, ...
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), [[731.79, 717.38], [807.56, 742.97]]) <= 50.0", "assert check_distance(predict_position(0.20), [[713.57, 683.77], [786.13, 744.95]]) <= 50.0", "assert check_distance(predict_position(0.30), [[695.32, 649.06], [764.64, 745.92]]) <= 50.0", "assert check_distance(pr...
ballsim
DG_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": [ 147, 122, 227 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -182.15, -321.15 ] ...
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), [[762.87, 721.39], [682.47, 879.3]]) <= 50.0", "assert check_distance(predict_position(0.20), [[775.73, 691.79], [664.94, 891.59]]) <= 50.0", "assert check_distance(predict_position(0.30), [[788.63, 661.1], [647.37, 902.91]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 199, 233, 122 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 128.65, -281.06 ] }...
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), [[748.61, 715.92], [712.14, 658.11]]) <= 50.0", "assert check_distance(predict_position(0.20), [[747.22, 680.84], [729.28, 632.23]]) <= 50.0", "assert check_distance(predict_position(0.30), [[745.82, 644.67], [746.46, 605.27]]) <= 50.0", "assert check_distance(pr...
ballsim
DG_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": [ 146, 138, 50 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -13.96, -335.8 ] }, ...
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), [[748.61, 715.92], [712.14, 658.11]]) <= 50.0", "assert check_distance(predict_position(0.20), [[747.22, 680.84], [729.28, 632.23]]) <= 50.0", "assert check_distance(predict_position(0.30), [[745.82, 644.67], [746.46, 605.27]]) <= 50.0", "assert check_distance(pr...
ballsim
DG_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": [ 146, 138, 50 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -13.96, -335.8 ] }, ...
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), [[741.6, 769.63], [661.85, 708.58]]) <= 50.0", "assert check_distance(predict_position(0.20), [[733.2, 788.26], [686.71, 692.16]]) <= 50.0", "assert check_distance(predict_position(0.30), [[724.78, 805.93], [711.62, 674.7]]) <= 50.0", "assert check_distance(predi...
ballsim
DG_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": [ 203, 59, 222 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -83.88, 201.29 ] }, ...
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), [[717.09, 752.2], [731.98, 695.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[684.18, 753.4], [756.95, 701.83]]) <= 50.0", "assert check_distance(predict_position(0.30), [[651.19, 753.6], [781.99, 706.75]]) <= 50.0", "assert check_distance(predi...
ballsim
DG_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": [ 180, 244, 169 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -329.04, 27.03 ] },...
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), [[722.88, 724.7], [813.72, 735.88]]) <= 50.0", "assert check_distance(predict_position(0.20), [[695.75, 698.4], [823.43, 715.75]]) <= 50.0", "assert check_distance(predict_position(0.30), [[668.56, 671.04], [833.17, 694.58]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 130, 52, 115 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -271.21, -247.97 ] }...
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), [[743.14, 775.82], [795.99, 820.47]]) <= 50.0", "assert check_distance(predict_position(0.20), [[736.28, 800.64], [780.97, 796.95]]) <= 50.0", "assert check_distance(predict_position(0.30), [[729.4, 824.51], [765.92, 772.36]]) <= 50.0", "assert check_distance(pre...
ballsim
DG_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": [ 255, 180, 158 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -68.51, 263.19 ] },...
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), [[780.27, 774.19], [741.94, 658.08]]) <= 50.0", "assert check_distance(predict_position(0.20), [[810.55, 797.38], [707.88, 639.17]]) <= 50.0", "assert check_distance(predict_position(0.30), [[840.9, 819.62], [673.74, 619.2]]) <= 50.0", "assert check_distance(pred...
ballsim
DG_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": [ 189, 93, 103 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 302.66, 246.91 ] }, ...
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), [[746.9, 721.91], [835.5, 796.2]]) <= 50.0", "assert check_distance(predict_position(0.20), [[743.8, 692.83], [852.01, 818.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[740.69, 662.67], [868.55, 839.65]]) <= 50.0", "assert check_distance(predict...
ballsim
DG_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": [ 102, 189, 222 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -31.01, -275.84 ] }...
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), [[771.68, 721.84], [857.62, 778.65]]) <= 50.0", "assert check_distance(predict_position(0.20), [[793.36, 692.67], [865.23, 807.31]]) <= 50.0", "assert check_distance(predict_position(0.30), [[815.09, 662.43], [847.19, 790.51]]) <= 50.0", "assert check_distance(pr...
ballsim
DG_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": [ 171, 250, 110 ], "density": 1, "position": [ 750, 750 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 216.75, -276.63 ] }...
50
function
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