messages listlengths 1 1 | ground_truth listlengths 15 15 | dataset stringclasses 1
value | id stringlengths 5 8 | difficulty int64 3 3 | 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), [[862.05, 738.04]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[825.56, 855.24]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[806.06, 784.38]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[872.73, 692.63]]) <= 50.0",
... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
800,
714
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
826.06,
-107.19
]
}
... | 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), [[746.72, 634.62]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[808.04, 698.34]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[849.67, 739.7]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[844.1, 692.59]]) <= 50.0",
"a... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
752,
757
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
182.93,
-781.46
]
}
... | 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), [[723.79, 693.35]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[748.52, 610.97]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[760.49, 696.55]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[842.1, 750.56]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
780,
717
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
-967.82,
57.82
]
}
... | 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), [[816.11, 649.71]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[728.43, 630.01]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[756.37, 627.7]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[867.47, 671.19]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
799,
710
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
612.2,
-771.53
]
}
... | 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), [[738.59, 811.0]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[766.17, 842.12]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[800.78, 719.55]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[822.96, 684.72]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
757,
721
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-631.02,
672.96
]
}
... | 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), [[841.93, 738.4]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[778.32, 736.43]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[663.23, 695.02]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[722.59, 619.49]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
717,
758
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
972.36,
221.83
]
}
... | 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), [[775.26, 670.46]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[882.81, 728.7]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[756.55, 732.51]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[673.58, 685.73]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
721,
779
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
56.62,
-962.54
]
}
... | 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), [[669.62, 708.32]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[751.34, 657.75]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[835.0, 703.29]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[825.84, 777.06]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
779,
766
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-875.86,
-125.44
]
}... | 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), [[674.91, 636.0]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[694.23, 792.04]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[706.2, 806.07]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[715.64, 671.89]]) <= 50.0",
"a... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
780,
722
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-594.17,
-718.44
]
}... | 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), [[821.24, 736.03]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[849.97, 668.4]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[778.74, 692.0]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[661.81, 676.52]]) <= 50.0",
"a... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
771,
706
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
610.13,
789.76
]
}
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[823.61, 650.14]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[891.53, 736.66]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[796.37, 783.49]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[769.27, 803.44]]) <= 50.0",
... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
799,
742
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-251.86,
-860.93
]
}... | 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), [[711.6, 673.0]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[765.56, 701.19]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[820.94, 756.0]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[802.38, 743.01]]) <= 50.0",
"as... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
752,
788
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
-34.56,
-811.22
]
}
... | 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), [[754.61, 780.58]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[706.27, 738.6]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[675.65, 699.98]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[773.22, 710.62]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
712,
781
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
881.97,
204.22
]
}
... | 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), [[735.88, 682.83]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[619.95, 694.17]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[709.83, 815.5]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[770.31, 864.44]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
788,
767
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-29.67,
-939.79
]
}
... | 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), [[681.92, 658.04]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[745.15, 762.6]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[743.37, 791.09]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[676.59, 743.35]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
752,
726
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
-703.19,
-709.5
]
}
... | 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), [[699.45, 623.81]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[804.88, 677.03]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[819.44, 696.35]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[720.51, 671.78]]) <= 50.0",
... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
785,
706
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
-871.88,
-320.91
]
}... | 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), [[754.72, 866.22]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[685.51, 801.24]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[680.65, 722.43]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[795.25, 735.57]]) <= 50.0",
... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
784,
787
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
208.45,
788.04
]
}
... | 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), [[679.77, 781.12]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[632.0, 713.68]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[724.1, 692.92]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[805.32, 732.71]]) <= 50.0",
"a... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
755,
735
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-418.62,
835.26
]
}
... | 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), [[649.13, 688.94]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[710.77, 772.45]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[734.89, 763.14]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[721.35, 661.05]]) <= 50.0",
... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
724,
731
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-909.92,
-394.12
]
}... | 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), [[727.58, 818.07]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[831.12, 864.42]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[866.48, 709.13]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[750.74, 619.02]]) <= 50.0",
... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
719,
749
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
-411.58,
753.24
]
}
... | 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), [[884.01, 720.44]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[807.74, 854.55]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[742.91, 815.46]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[759.79, 729.5]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
742,
716
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
918.99,
55.14
]
}
... | 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), [[850.05, 681.08]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[762.34, 752.79]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[727.41, 831.9]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[784.19, 879.98]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
724,
727
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
762.94,
-398.8
]
}
... | 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), [[817.17, 834.2]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[741.16, 854.82]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[628.97, 774.63]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[716.38, 644.66]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
796,
790
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
698.8,
560.26
]
}
... | 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), [[604.04, 758.92]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[719.98, 706.2]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[741.24, 685.84]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[667.7, 697.94]]) <= 50.0",
"a... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
717,
710
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-747.19,
365
]
}
]... | 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), [[727.96, 783.64]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[721.73, 682.4]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[715.83, 691.64]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[716.47, 784.16]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
780,
796
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-749.99,
322
]
}
]... | 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), [[702.97, 695.59]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[768.75, 615.44]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[851.5, 736.16]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[835.58, 860.63]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
739,
767
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-768.16,
-422.62
]
}... | 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), [[850.96, 680.24]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[775.46, 626.2]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[678.75, 700.2]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[619.42, 800.9]]) <= 50.0",
"as... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
793,
715
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
841.62,
79.67
]
}
... | 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), [[649.07, 660.4]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[645.88, 771.1]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[619.08, 783.2]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[632.07, 678.35]]) <= 50.0",
"as... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
724,
721
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
-722.13,
-530.79
]
}... | 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), [[757.91, 709.62]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[702.24, 732.71]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[645.8, 749.39]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[737.78, 697.9]]) <= 50.0",
"a... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
719,
719
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
863.21,
-256.56
]
}
... | 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), [[812.16, 786.62]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[759.65, 742.46]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[650.24, 654.48]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[810.91, 658.32]]) <= 50.0",
... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
781,
776
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
730.92,
380.78
]
}
... | 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), [[800.44, 658.24]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[706.0, 616.95]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[608.92, 759.93]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[734.62, 876.06]]) <= 50.0",
"... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
797,
720
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
525.08,
-720.15
]
}
... | 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), [[744.97, 825.11]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[691.15, 768.74]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[681.13, 649.24]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[771.79, 696.52]]) <= 50.0",
... | ballsim | D_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": [
240,
180,
60
],
"density": 1,
"position": [
766,
787
],
"radius": 25,
"restitution": 1,
"rotation_affected": false,
"sides": 7,
"velocity": [
-45.94,
854.62
]
}
... | 50 | function |
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