messages listlengths 1 1 | ground_truth listlengths 15 15 | dataset stringclasses 1
value | id stringlengths 5 8 | difficulty int64 2 2 | 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), [[859.14, 647.09], [776.81, 758.77], [643.02, 792.62], [475.19, 751.74], [719.77, 786.95]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[854.28, 718.19], [707.62, 770.54], [689.03, 735.25], [444.86, 732.96], [677.7, 831.07]]) <= 50.0",
"assert check_d... | ballsim | G_2_47 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
84,
89,
63
],
"density": 1,
"position": [
864,
576
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-48.48,
710.88
]
},
... | 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), [[826.25, 770.67], [642.96, 857.11], [548.23, 632.76], [788.48, 758.9], [902.29, 781.93]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[860.51, 831.34], [578.92, 895.22], [529.45, 690.53], [853.96, 780.8], [974.58, 781.85]]) <= 50.0",
"assert check_di... | ballsim | G_2_1018 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
157,
254,
143
],
"density": 1,
"position": [
792,
710
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
342.65,
606.66
]
},... | 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), [[718.38, 757.09], [827.11, 837.11], [754.54, 927.95], [641.54, 618.06]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[784.76, 750.18], [848.65, 876.19], [699.15, 882.01], [622.08, 556.12]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[8... | ballsim | G_2_288 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
129,
125,
80
],
"density": 1,
"position": [
652,
764
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
663.84,
-69.1
]
},
... | 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), [[779.15, 734.71], [575.74, 593.6], [847.67, 991.62], [782.96, 654.16]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[808.18, 741.55], [570.14, 640.85], [801.36, 942.26], [785.84, 561.39]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[83... | ballsim | G_2_617 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
227,
239,
122
],
"density": 1,
"position": [
730,
748
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
689.2,
-330.62
]
},... | 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), [[802.42, 1011.53], [794.82, 590.24], [645.22, 849.21], [581.91, 698.3]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[804.94, 995.14], [735.64, 556.47], [595.44, 809.41], [565.82, 634.61]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[7... | ballsim | G_2_975 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
124,
234,
182
],
"density": 1,
"position": [
745,
973
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
574.19,
385.27
]
},... | 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), [[892.52, 736.4], [823.75, 695.65], [877.75, 841.93], [698.78, 820.87], [718.07, 628.61]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[824.04, 724.81], [864.49, 640.31], [816.49, 871.86], [722.56, 763.74], [787.13, 602.22]]) <= 50.0",
"assert check_d... | ballsim | G_2_583 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
140,
59,
89
],
"density": 1,
"position": [
961,
748
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-684.86,
-116.08
]
},... | 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), [[802.99, 797.27], [699.1, 804.17], [850.88, 755.33], [661.51, 620.91]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[864.97, 751.54], [647.19, 858.35], [904.76, 714.65], [706.01, 556.83]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[92... | ballsim | G_2_803 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
170,
112,
136
],
"density": 1,
"position": [
741,
843
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
619.92,
-457.2
]
},... | 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), [[791.57, 728.66], [762.83, 668.52], [841.15, 765.02], [699.97, 665.21], [652.52, 645.03]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[726.14, 734.33], [817.3, 598.03], [915.29, 737.04], [708.95, 606.42], [688.04, 575.06]]) <= 50.0",
"assert check_d... | ballsim | G_2_537 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
118,
133,
156
],
"density": 1,
"position": [
857,
723
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
-654.19,
56.57
]
},... | 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), [[878.23, 978.45], [689.81, 490.22], [607.27, 794.34], [971.69, 607.59]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[943.47, 991.9], [640.61, 444.7], [532.54, 813.67], [936.12, 665.91]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[931... | ballsim | G_2_700 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
246,
193,
253
],
"density": 1,
"position": [
813,
965
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
652.44,
134.64
]
},... | 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), [[740.76, 796.8], [765.82, 834.75], [648.43, 863.36], [784.33, 781.57], [788.94, 693.19]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[691.86, 866.6], [828.63, 848.49], [661.86, 929.71], [800.98, 790.14], [729.88, 734.37]]) <= 50.0",
"assert check_di... | ballsim | G_2_957 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
75,
118,
54
],
"density": 1,
"position": [
755,
727
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-52.05,
698.09
]
},
... | 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), [[674.74, 1050.83], [815.89, 599.01], [863.53, 555.26], [724.21, 867.72], [951.8, 765.56]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[611.49, 1019.2], [787.76, 532.02], [863.49, 592.51], [663.42, 853.44], [1017.59, 740.12]]) <= 50.0",
"assert check... | ballsim | G_2_940 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
203,
158,
197
],
"density": 1,
"position": [
738,
1006
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-632.66,
448.48
]
... | 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), [[921.61, 728.17], [881.42, 813.57], [588.21, 521.08], [826.47, 1018.56]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[876.23, 678.34], [840.85, 746.14], [572.24, 461.29], [753.93, 1039.11]]) <= 50.0",
"assert check_distance(predict_position(0.30), [... | ballsim | G_2_800 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
114,
254,
132
],
"density": 1,
"position": [
967,
778
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-453.93,
-498.25
]
... | 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), [[745.63, 733.16], [823.98, 811.13], [683.62, 757.95], [883.42, 557.35]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[720.27, 673.32], [769.24, 790.25], [727.96, 782.9], [841.85, 513.7]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[694... | ballsim | G_2_792 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
211,
53,
63
],
"density": 1,
"position": [
771,
793
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-253.66,
-598.32
]
},... | 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), [[639.33, 881.59], [864.51, 711.66], [725.09, 664.14], [673.11, 559.79], [703.7, 791.4]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[705.67, 841.19], [811.02, 758.31], [733.13, 652.23], [673.61, 592.99], [641.39, 754.81]]) <= 50.0",
"assert check_di... | ballsim | G_2_325 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
216,
173,
170
],
"density": 1,
"position": [
573,
922
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
663.34,
-404.15
]
}... | 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), [[911.13, 567.13], [630.17, 724.04], [601.35, 630.66], [789.45, 805.02]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[914.6, 633.93], [709.35, 714.08], [659.7, 608.32], [799.9, 871.03]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[918.... | ballsim | G_2_580 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
54,
123,
138
],
"density": 1,
"position": [
848,
560
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
668.02,
34.57
]
},
... | 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), [[589.84, 745.38], [697.8, 632.53], [724.08, 815.3], [1009.98, 724.8]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[625.68, 683.76], [770.61, 622.05], [710.17, 743.59], [1071.28, 740.29]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[66... | ballsim | G_2_967 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
119,
86,
137
],
"density": 1,
"position": [
554,
807
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
358.33,
-616.14
]
},... | 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), [[586.99, 799.1], [889.42, 770.93], [702.47, 806.33], [806.16, 900.73], [877.03, 820.48]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[630.4, 776.2], [872.85, 735.56], [685.94, 866.65], [827.51, 848.55], [887.98, 840.18]]) <= 50.0",
"assert check_dis... | ballsim | G_2_576 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
194,
175,
214
],
"density": 1,
"position": [
647,
822
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-600.2,
-229.09
]
}... | 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), [[790.98, 673.46], [939.66, 874.67], [840.02, 672.56], [823.95, 576.2], [676.94, 652.96]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[766.95, 616.91], [981.91, 909.51], [783.04, 721.12], [895.9, 605.4], [692.88, 588.92]]) <= 50.0",
"assert check_dis... | ballsim | G_2_988 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
89,
88,
202
],
"density": 1,
"position": [
815,
730
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-240.19,
-565.44
]
},... | 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), [[679.26, 695.49], [852.71, 928.02], [667.99, 770.97], [451.21, 696.63], [943.16, 647.86]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[743.52, 668.97], [855.42, 1002.05], [609.98, 794.95], [472.59, 720.89], [877.31, 607.73]]) <= 50.0",
"assert check... | ballsim | G_2_841 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
121,
216,
162
],
"density": 1,
"position": [
615,
722
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
642.54,
-265.04
]
}... | 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), [[804.89, 811.96], [881.71, 756.88], [803.84, 722.49], [849.09, 626.46]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[840.78, 745.92], [955.41, 779.75], [794.69, 647.98], [875.58, 694.87]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[8... | ballsim | G_2_370 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
91,
200,
170
],
"density": 1,
"position": [
769,
878
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
358.98,
-660.4
]
},
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[760.93, 659.48], [628.51, 762.06], [544.17, 825.23], [666.77, 727.91]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[735.85, 602.96], [562.3, 820.11], [472.35, 806.45], [626.81, 710.82]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[71... | ballsim | G_2_28 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
232,
52,
130
],
"density": 1,
"position": [
786,
716
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-250.8,
-565.19
]
},... | 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), [[656.11, 721.63], [719.85, 725.26], [949.71, 876.45], [756.26, 943.28]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[589.21, 720.27], [711.69, 662.51], [982.43, 810.9], [694.51, 957.56]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[52... | ballsim | G_2_727 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
238,
66,
211
],
"density": 1,
"position": [
723,
723
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-669,
-13.69
]
},
... | 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), [[693.48, 508.35], [743.84, 483.52], [843.34, 878.41], [720.58, 1034.64]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[605.79, 501.0], [737.78, 476.39], [788.67, 845.81], [736.15, 969.8]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[55... | ballsim | G_2_38 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
131,
171,
253
],
"density": 1,
"position": [
675,
577
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
184.93,
-686.47
]
}... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[729.81, 784.61], [917.64, 769.92], [702.6, 905.29], [797.94, 589.37], [936.89, 728.04]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[781.61, 830.21], [978.29, 740.85], [728.83, 956.36], [753.9, 608.47], [995.77, 698.09]]) <= 50.0",
"assert check_di... | ballsim | G_2_984 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
158,
138,
237
],
"density": 1,
"position": [
678,
739
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
518.16,
456.16
]
},... | 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), [[785.79, 577.75], [712.07, 591.74], [577.43, 638.14], [602.52, 818.14], [796.25, 917.43]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[792.92, 514.78], [755.79, 530.19], [613.85, 584.29], [556.03, 859.28], [829.5, 983.86]]) <= 50.0",
"assert check_d... | ballsim | G_2_955 | 2 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
173,
229,
109
],
"density": 1,
"position": [
781,
639
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
47.77,
-612.61
]
},... | 50 | function |
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