messages listlengths 1 1 | ground_truth listlengths 15 15 | dataset stringclasses 1
value | id stringlengths 5 8 | difficulty int64 4 4 | 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), [[751.1, 811.65]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[796.87, 833.45]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[853.83, 735.11]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[743.88, 746.37]]) <= 50.0",
"... | ballsim | D_4_47 | 4 | [
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,
742
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
-850.18,
702.49
]
}
... | 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), [[833.69, 826.73]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[861.82, 734.4]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[764.85, 659.91]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[723.4, 770.05]]) <= 50.0",
"a... | ballsim | D_4_1018 | 4 | [
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,
772
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 10,
"velocity": [
310.15,
965.27
]
}
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[739.91, 694.11]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[797.8, 642.75]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[871.5, 759.35]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[783.73, 829.07]]) <= 50.0",
"a... | ballsim | D_4_288 | 4 | [
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,
751
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 10,
"velocity": [
-911.92,
-584.96
]
... | 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), [[831.13, 740.52]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[788.88, 699.92]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[669.9, 679.89]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[687.44, 833.17]]) <= 50.0",
"... | ballsim | D_4_617 | 4 | [
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": [
774,
770
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
1069.45,
-239.08
]
}... | 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), [[736.82, 675.89]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[756.33, 760.15]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[792.68, 745.65]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[818.86, 678.93]]) <= 50.0",
... | ballsim | D_4_975 | 4 | [
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,
714
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 10,
"velocity": [
-620.54,
-878.73
]
... | 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), [[778.52, 852.13]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[834.53, 830.52]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[858.87, 692.82]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[701.03, 656.6]]) <= 50.0",
"... | ballsim | D_4_583 | 4 | [
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": [
774,
788
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
-212.79,
1071
]
}
... | 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), [[828.21, 797.66]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[796.44, 685.18]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[735.16, 668.43]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[825.5, 755.81]]) <= 50.0",
"... | ballsim | D_4_803 | 4 | [
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,
786
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
311.11,
1134.04
]
}
... | 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), [[800.6, 688.7]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[712.64, 749.4]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[648.2, 712.73]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[735.67, 686.31]]) <= 50.0",
"ass... | ballsim | D_4_537 | 4 | [
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,
746
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 10,
"velocity": [
473.26,
-892.92
]
}... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[870.66, 741.97]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[772.03, 812.58]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[758.21, 830.07]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[829.26, 794.33]]) <= 50.0",
... | ballsim | D_4_700 | 4 | [
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": [
747,
718
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
934.89,
465.94
]
}
... | 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), [[686.32, 688.43]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[752.45, 669.13]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[799.06, 724.39]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[739.56, 804.73]]) <= 50.0",
... | ballsim | D_4_957 | 4 | [
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": [
741,
742
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
-969.95,
-266.93
]
}... | 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), [[647.93, 719.7]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[744.79, 831.15]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[749.08, 784.34]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[660.79, 687.36]]) <= 50.0",
"... | ballsim | D_4_940 | 4 | [
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,
742
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 10,
"velocity": [
-921.66,
-522.59
]
... | 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), [[827.49, 670.93]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[788.58, 788.38]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[740.25, 836.72]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[695.53, 784.87]]) <= 50.0",
... | ballsim | D_4_800 | 4 | [
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": [
733,
784
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
927.44,
-629.74
]
}
... | 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), [[625.1, 742.87]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[761.16, 698.45]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[835.06, 752.43]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[816.66, 828.77]]) <= 50.0",
"... | ballsim | D_4_792 | 4 | [
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": [
730,
782
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-1124.42,
104.26
]
}... | 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), [[859.73, 728.38]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[747.83, 727.5]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[680.07, 662.35]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[832.92, 658.87]]) <= 50.0",
"... | ballsim | D_4_325 | 4 | [
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": [
740,
743
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
958.38,
294.48
]
}
... | 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), [[806.33, 823.92]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[716.71, 820.36]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[725.49, 835.43]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[811.28, 832.09]]) <= 50.0",
... | ballsim | D_4_580 | 4 | [
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,
767
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
706.51,
805.77
]
}
... | 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), [[805.19, 792.65]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[744.05, 870.95]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[679.2, 732.08]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[753.91, 706.35]]) <= 50.0",
"... | ballsim | D_4_967 | 4 | [
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": [
772,
717
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
828.23,
686.55
]
}
... | 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), [[711.45, 659.67]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[781.66, 700.4]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[770.79, 754.33]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[722.82, 715.13]]) <= 50.0",
"... | ballsim | D_4_576 | 4 | [
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,
727
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
-805.41,
-616.11
]
}... | 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), [[695.04, 809.93]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[750.01, 835.93]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[847.01, 777.69]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[772.27, 678.65]]) <= 50.0",
... | ballsim | D_4_988 | 4 | [
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": [
740,
780
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 10,
"velocity": [
-950.43,
318.97
]
}... | 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), [[646.5, 696.41]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[752.58, 763.72]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[832.53, 747.6]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[811.02, 661.89]]) <= 50.0",
"a... | ballsim | D_4_841 | 4 | [
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": [
767,
758
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 10,
"velocity": [
-1017.03,
-151.29
]
... | 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), [[634.17, 724.59]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[740.12, 865.38]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[760.8, 733.47]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[709.05, 650.67]]) <= 50.0",
"... | ballsim | D_4_370 | 4 | [
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": [
789,
733
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
-1076.75,
-253.95
]
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[787.5, 848.88]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[864.45, 725.55]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[715.42, 665.85]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[715.61, 727.16]]) <= 50.0",
"... | ballsim | D_4_28 | 4 | [
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": [
728,
753
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
133.39,
1154.02
]
}
... | 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), [[717.97, 854.5]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[665.47, 704.31]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[776.06, 652.29]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[811.9, 689.01]]) <= 50.0",
"a... | ballsim | D_4_727 | 4 | [
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,
738
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-204.38,
1092.33
]
}... | 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), [[700.71, 864.73]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[709.87, 710.6]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[735.25, 719.9]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[745.3, 849.34]]) <= 50.0",
"as... | ballsim | D_4_38 | 4 | [
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,
763
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
-303.32,
1015.77
]
}... | 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), [[832.42, 687.33]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[761.34, 752.06]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[779.39, 862.78]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[865.85, 760.15]]) <= 50.0",
... | ballsim | D_4_984 | 4 | [
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,
736
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 10,
"velocity": [
556.92,
-884.06
]
}... | 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), [[856.04, 787.36]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[732.06, 723.49]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[682.86, 688.84]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[727.19, 690.32]]) <= 50.0",
... | ballsim | D_4_955 | 4 | [
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,
755
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
992.72,
143.13
]
}
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[671.28, 690.5]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[800.43, 720.33]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[831.95, 728.31]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[765.68, 714.41]]) <= 50.0",
"... | ballsim | D_4_509 | 4 | [
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": [
754,
767
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-808.24,
-850.3
]
}
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[694.91, 670.41]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[830.03, 702.55]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[755.42, 719.11]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[657.92, 674.17]]) <= 50.0",
... | ballsim | D_4_732 | 4 | [
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": [
731,
734
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 9,
"velocity": [
-844.02,
-599.35
]
}... | 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), [[659.57, 672.83]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[800.3, 656.63]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[841.94, 761.02]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[859.05, 768.05]]) <= 50.0",
"... | ballsim | D_4_405 | 4 | [
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,
741
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-1032.01,
-195.65
]
... | 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), [[632.97, 776.69]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[755.27, 733.18]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[789.42, 666.35]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[643.2, 722.32]]) <= 50.0",
"... | ballsim | D_4_756 | 4 | [
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,
745
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-939.9,
693.78
]
}
... | 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), [[793.81, 856.42]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[838.72, 747.14]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[758.69, 693.33]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[701.59, 645.03]]) <= 50.0",
... | ballsim | D_4_718 | 4 | [
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,
765
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-276.83,
1040.95
]
}... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[707.27, 820.28]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[657.58, 752.85]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[719.94, 628.98]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[822.17, 708.54]]) <= 50.0",
... | ballsim | D_4_396 | 4 | [
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,
789
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 8,
"velocity": [
-737.68,
807.55
]
}
... | 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), [[764.83, 756.64]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[725.87, 829.54]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[635.87, 779.47]]) <= 50.0",
"assert check_distance(predict_position(0.40), [[715.21, 685.01]]) <= 50.0",
... | ballsim | D_4_829 | 4 | [
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": [
711,
721
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 10,
"velocity": [
1003.47,
169.58
]
}... | 50 | function |
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