messages listlengths 1 1 | ground_truth listlengths 15 15 | dataset stringclasses 1
value | id stringlengths 5 8 | difficulty int64 1 1 | timestamps listlengths 15 15 | scene_config dict | tolerance float64 50 50 | prompt_setting stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|
[
{
"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), [[718.99, 826.0]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[736.99, 866.99]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[755.02, 898.06]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[773.02, 876.64]]) <= 50.0",
"... | ballsim | D_1_47 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
701,
775
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
180.04,
560.1
]
}
... | 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), [[805.27, 745.89]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[802.53, 689.77]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[799.79, 623.48]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[819.02, 614.9]]) <= 50.0",
"... | ballsim | D_1_1018 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
808,
792
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-27.25,
-411.02
]
}
... | 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), [[804.56, 767.75]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[856.12, 727.5]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[861.73, 710.6]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[797.01, 734.81]]) <= 50.0",
"a... | ballsim | D_1_288 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
753,
798
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
515.51,
-252.36
]
}
... | 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), [[787.18, 843.08]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[797.36, 886.16]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[800.1, 913.88]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[771.58, 897.33]]) <= 50.0",
"... | ballsim | D_1_617 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
777,
790
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
101.87,
580.93
]
}
... | 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), [[813.31, 711.06]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[810.63, 646.12]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[807.94, 624.7]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[805.25, 692.64]]) <= 50.0",
"... | ballsim | D_1_975 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
816,
766
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-26.97,
-499.29
]
}
... | 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), [[803.43, 745.55]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[846.87, 753.1]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[890.41, 750.63]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[905.84, 758.5]]) <= 50.0",
"a... | ballsim | D_1_583 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
760,
728
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
434.34,
225.63
]
}
... | 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), [[731.7, 731.27]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[771.39, 751.53]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[811.19, 761.81]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[850.89, 762.05]]) <= 50.0",
"... | ballsim | D_1_803 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
692,
701
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
396.89,
352.78
]
}
... | 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), [[793.68, 772.84]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[836.35, 735.67]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[879.13, 688.38]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[826.86, 686.0]]) <= 50.0",
"... | ballsim | D_1_537 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
751,
800
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
426.83,
-221.52
]
}
... | 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), [[803.01, 768.42]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[843.03, 755.85]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[883.14, 733.2]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[874.31, 736.08]]) <= 50.0",
"... | ballsim | D_1_700 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
763,
771
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
400.05,
24.36
]
}
... | 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), [[649.63, 702.77]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[642.72, 681.06]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[708.73, 691.36]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[774.58, 691.62]]) <= 50.0",
... | ballsim | D_1_957 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
699,
739
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-493.58,
-312.14
]
}... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[686.04, 801.3]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[647.07, 800.61]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[608.01, 789.87]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[605.4, 748.16]]) <= 50.0",
"a... | ballsim | D_1_940 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
725,
792
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-389.65,
143.17
]
}
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[735.23, 722.76]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[774.47, 733.52]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[813.8, 734.27]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[853.03, 725.0]]) <= 50.0",
"a... | ballsim | D_1_800 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
696,
702
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
392.26,
257.72
]
}
... | 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), [[672.04, 807.98]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[658.07, 848.95]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[653.87, 849.82]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[660.61, 807.05]]) <= 50.0",
... | ballsim | D_1_792 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
686,
757
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-139.66,
559.88
]
}
... | 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), [[802.89, 661.79]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[819.79, 606.58]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[758.46, 598.69]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[715.05, 640.43]]) <= 50.0",
... | ballsim | D_1_325 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
786,
707
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
168.86,
-401.99
]
}
... | 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), [[719.08, 779.55]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[751.16, 804.09]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[783.32, 818.66]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[815.4, 823.18]]) <= 50.0",
"... | ballsim | D_1_580 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
687,
745
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
320.81,
395.59
]
}
... | 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), [[664.71, 664.38]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[630.18, 660.68]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[616.04, 704.26]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[631.98, 737.73]]) <= 50.0",
... | ballsim | D_1_967 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
708,
685
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-432.8,
-156.03
]
}
... | 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), [[726.9, 756.12]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[721.79, 685.25]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[716.68, 604.16]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[711.58, 680.22]]) <= 50.0",
"... | ballsim | D_1_576 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
732,
817
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-50.97,
-558.63
]
}
... | 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), [[790.09, 803.05]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[830.18, 790.11]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[870.36, 767.09]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[910.45, 734.12]]) <= 50.0",
... | ballsim | D_1_988 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
750,
806
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
400.8,
20.67
]
}
]... | 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), [[727.66, 698.74]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[680.32, 675.49]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[634.79, 648.06]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[618.63, 700.75]]) <= 50.0",
... | ballsim | D_1_841 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
775,
712
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-473.38,
-82.45
]
}
... | 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), [[805.93, 747.75]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[809.86, 776.5]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[813.8, 795.28]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[817.73, 804.01]]) <= 50.0",
"a... | ballsim | D_1_370 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
802,
709
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
39.3,
437.62
]
}
]... | 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), [[799.24, 817.15]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[845.48, 827.29]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[874.22, 817.25]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[853.05, 768.46]]) <= 50.0",
... | ballsim | D_1_28 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
753,
797
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
462.37,
251.58
]
}
... | 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), [[796.38, 818.48]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[839.77, 834.96]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[843.13, 812.29]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[822.37, 762.16]]) <= 50.0",
... | ballsim | D_1_727 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
753,
792
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
433.77,
314.93
]
}
... | 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), [[739.1, 803.16]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[721.21, 836.32]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[703.27, 859.52]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[685.99, 870.76]]) <= 50.0",
"... | ballsim | D_1_38 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
757,
760
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-178.93,
481.71
]
}
... | 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), [[817.66, 842.18]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[816.31, 872.35]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[814.97, 892.57]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[813.63, 891.6]]) <= 50.0",
"... | ballsim | D_1_984 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
819,
802
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-13.36,
451.89
]
}
... | 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), [[717.01, 752.18]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[724.01, 784.37]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[731.04, 806.59]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[738.04, 818.75]]) <= 50.0",
... | ballsim | D_1_955 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
710,
710
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
70.08,
471.96
]
}
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[649.6, 723.38]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[613.2, 673.76]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[653.0, 653.49]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[717.79, 671.24]]) <= 50.0",
"as... | ballsim | D_1_509 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
686,
763
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-363.92,
-346.08
]
}... | 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), [[759.01, 702.42]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[717.02, 667.84]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[676.33, 627.48]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[671.28, 686.59]]) <= 50.0",
... | ballsim | D_1_732 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
801,
727
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-420.01,
-195.68
]
}... | 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), [[709.61, 716.47]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[711.22, 656.94]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[712.84, 615.26]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[714.45, 680.94]]) <= 50.0",
... | ballsim | D_1_405 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
708,
766
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
16.03,
-445.16
]
}
... | 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), [[767.86, 775.66]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[822.72, 759.33]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[877.71, 732.91]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[873.29, 739.61]]) <= 50.0",
... | ballsim | D_1_756 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
713,
782
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
548.55,
-13.24
]
}
... | 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), [[778.32, 753.3]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[832.64, 762.59]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[887.1, 761.88]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[903.88, 735.32]]) <= 50.0",
"a... | ballsim | D_1_718 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
724,
734
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
543.29,
243.09
]
}
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[759.62, 734.94]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[743.24, 768.89]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[726.81, 792.88]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[710.43, 806.8]]) <= 50.0",
"... | ballsim | D_1_396 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
776,
691
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-163.94,
489.56
]
}
... | 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), [[740.04, 639.37]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[707.08, 611.63]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[674.04, 661.7]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[641.08, 701.63]]) <= 50.0",
"... | ballsim | D_1_829 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
240,
180,
60
],
"density": 1,
"position": [
773,
684
],
"radius": 35,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-329.61,
-396.19
]
}... | 50 | function |
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