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), [[779.61, 807.96], [730.99, 535.08], [947.27, 757.88], [787.82, 927.13], [838.54, 748.24]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[853.22, 761.91], [753.94, 461.57], [984.14, 805.03], [806.65, 838.27], [700.89, 756.98]]) <= 50.0",
"assert check_... | ballsim | G_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": [
208,
80,
129
],
"density": 1,
"position": [
706,
854
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
736.03,
-460.43
]
},... | 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), [[840.34, 921.15], [560.76, 757.62], [711.87, 845.31], [903.59, 714.28], [717.61, 695.64]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[840.68, 1002.3], [638.52, 719.24], [799.73, 839.62], [936.19, 624.56], [744.22, 772.27]]) <= 50.0",
"assert check_... | ballsim | G_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": [
213,
218,
60
],
"density": 1,
"position": [
840,
840
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
3.38,
811.52
]
},
... | 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), [[645.54, 595.15], [857.01, 535.37], [914.66, 590.04], [867.29, 808.97], [781.89, 922.35], [729.56, 926.27]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[550.08, 572.3], [770.03, 514.74], [992.32, 558.08], [918.59, 875.94], [868.78, 903.7], [751.12, 83... | ballsim | G_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": [
174,
218,
251
],
"density": 1,
"position": [
741,
618
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-954.48,
-228.51
]
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[792.77, 742.3], [701.15, 825.84], [737.17, 580.55], [764.08, 995.27], [857.9, 771.44]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[854.54, 802.61], [675.29, 913.68], [734.34, 667.1], [674.17, 1020.54], [928.8, 725.89]]) <= 50.0",
"assert check_dis... | ballsim | G_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": [
95,
115,
132
],
"density": 1,
"position": [
731,
682
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
617.62,
602.99
]
},
... | 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), [[657.49, 520.91], [683.92, 803.2], [902.79, 923.1], [691.38, 876.89], [762.71, 823.55]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[654.97, 458.67], [699.44, 800.79], [838.58, 979.21], [720.58, 1032.7], [835.41, 785.1]]) <= 50.0",
"assert check_dis... | ballsim | G_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": [
66,
248,
252
],
"density": 1,
"position": [
660,
610
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
-25.18,
-890.83
]
},... | 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), [[763.64, 609.73], [497.18, 769.45], [756.65, 743.56], [662.42, 825.11], [891.77, 913.78]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[842.28, 658.46], [428.37, 707.9], [722.3, 822.13], [591.84, 890.22], [985.55, 888.56]]) <= 50.0",
"assert check_di... | ballsim | G_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": [
125,
71,
135
],
"density": 1,
"position": [
685,
561
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
786.33,
487.27
]
},
... | 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), [[898.86, 785.96], [704.11, 1022.23], [747.46, 664.01], [849.41, 973.97], [560.61, 729.24], [879.68, 843.18]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[900.71, 868.92], [648.7, 963.65], [697.93, 600.02], [769.82, 1018.94], [514.23, 647.47], [804.37,... | ballsim | G_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": [
156,
109,
105
],
"density": 1,
"position": [
897,
703
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
18.47,
829.7
]
},
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[749.42, 568.11], [685.1, 674.08], [836.54, 694.46], [998.94, 628.55], [666.7, 643.59]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[699.83, 654.22], [705.84, 711.32], [811.07, 790.92], [1000.95, 664.4], [696.77, 534.98]]) <= 50.0",
"assert check_di... | ballsim | G_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": [
185,
192,
117
],
"density": 1,
"position": [
799,
482
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
-495.78,
861.07
]
}... | 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), [[577.14, 748.01], [582.96, 849.93], [754.54, 478.77], [726.35, 741.54], [601.44, 691.8]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[492.27, 785.02], [669.93, 825.86], [837.09, 446.55], [783.21, 780.58], [494.6, 681.33]]) <= 50.0",
"assert check_di... | ballsim | G_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": [
94,
198,
93
],
"density": 1,
"position": [
662,
711
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-848.6,
370
]
},
... | 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), [[831.98, 753.02], [1062.56, 804.68], [649.83, 446.81], [874.04, 832.72], [837.25, 537.06]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[809.96, 671.04], [1052.21, 706.9], [698.66, 525.95], [937.07, 767.43], [919.5, 544.11]]) <= 50.0",
"assert check_... | ballsim | G_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": [
174,
96,
85
],
"density": 1,
"position": [
854,
835
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-220.23,
-819.87
]
},... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[769.7, 842.42], [662.9, 647.58], [660.66, 714.4], [573.84, 912.04], [841.95, 953.48], [762.87, 641.68]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[703.81, 781.31], [732.79, 588.15], [563.32, 727.81], [581.72, 830.04], [819.84, 951.19], [783.75, 736... | ballsim | G_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": [
145,
94,
62
],
"density": 1,
"position": [
813,
834
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-160.71,
922.24
]
},
... | 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), [[611.25, 861.46], [736.6, 616.81], [788.84, 624.34], [671.62, 732.95], [816.19, 827.5], [942.59, 821.91]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[594.96, 916.46], [710.49, 548.84], [778.2, 721.8], [724.3, 650.35], [750.78, 755.21], [946.63, 737.9... | ballsim | G_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": [
91,
159,
205
],
"density": 1,
"position": [
670,
837
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-795.65,
-396.19
]
}... | 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), [[641.75, 878.88], [760.18, 839.32], [901.06, 786.52], [839.0, 644.18], [535.75, 732.6], [811.4, 908.6]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[584.5, 951.75], [741.35, 921.65], [939.29, 717.57], [759.99, 700.35], [609.51, 777.21], [774.64, 1003.... | ballsim | G_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": [
65,
242,
216
],
"density": 1,
"position": [
699,
806
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
-572.58,
728.85
]
},... | 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), [[535.88, 617.65], [685.92, 781.86], [945.84, 764.75], [1040.17, 753.28], [716.04, 837.5]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[532.75, 534.3], [773.83, 791.73], [985.69, 853.49], [1049.92, 730.37], [712.09, 925.0]]) <= 50.0",
"assert check_d... | ballsim | G_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": [
169,
145,
124
],
"density": 1,
"position": [
539,
701
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-31.31,
-833.47
]
}... | 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), [[936.33, 667.52], [744.19, 988.93], [732.24, 529.18], [585.18, 747.89], [1018.4, 809.0], [651.02, 848.43]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[1019.65, 701.04], [760.07, 1014.94], [737.83, 471.29], [641.35, 686.78], [980.35, 814.48], [700.05,... | ballsim | G_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": [
243,
127,
139
],
"density": 1,
"position": [
853,
634
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
833.28,
335.24
]
},... | 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), [[926.27, 608.17], [937.16, 653.06], [805.33, 981.62], [635.67, 472.25], [816.03, 698.31]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[1003.54, 659.34], [850.32, 661.11], [818.66, 1045.63], [622.34, 499.04], [901.07, 693.62]]) <= 50.0",
"assert chec... | ballsim | G_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": [
165,
212,
126
],
"density": 1,
"position": [
849,
557
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
772.81,
511.75
]
},... | 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), [[628.03, 864.51], [717.41, 878.57], [743.69, 902.4], [919.72, 680.81], [715.29, 836.25]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[631.96, 838.02], [659.43, 934.75], [699.75, 970.84], [951.11, 768.27], [647.71, 905.63]]) <= 50.0",
"assert check_d... | ballsim | G_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": [
134,
250,
136
],
"density": 1,
"position": [
723,
891
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-949.67,
-265.01
]
... | 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), [[933.63, 591.3], [726.7, 633.44], [920.86, 879.42], [909.71, 720.85], [717.09, 505.98]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[928.26, 502.61], [771.4, 561.88], [1003.72, 911.84], [992.43, 696.71], [635.18, 456.95]]) <= 50.0",
"assert check_di... | ballsim | G_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": [
55,
95,
173
],
"density": 1,
"position": [
939,
680
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-53.71,
-886.98
]
},
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[769.58, 516.01], [814.61, 866.58], [950.23, 896.12], [596.13, 958.9], [876.15, 912.48]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[690.16, 476.03], [817.22, 958.15], [937.46, 989.23], [655.26, 1034.8], [905.3, 1004.96]]) <= 50.0",
"assert check_d... | ballsim | G_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": [
55,
64,
189
],
"density": 1,
"position": [
849,
556
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
-794.31,
-399.82
]
},... | 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), [[972.93, 655.26], [720.67, 774.04], [866.49, 622.81], [872.11, 972.83], [845.2, 664.55]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[914.87, 710.51], [637.35, 812.07], [866.98, 532.63], [831.33, 918.76], [923.4, 628.1]]) <= 50.0",
"assert check_dis... | ballsim | G_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": [
65,
134,
230
],
"density": 1,
"position": [
955,
676
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
552.59,
-580.48
]
},... | 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), [[571.71, 869.46], [506.36, 618.37], [775.27, 794.35], [1037.96, 767.31], [663.53, 723.95], [682.4, 685.76]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[524.42, 785.91], [543.78, 595.15], [725.29, 763.41], [1031.14, 797.35], [585.07, 695.9], [657.94, ... | ballsim | G_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": [
194,
116,
183
],
"density": 1,
"position": [
619,
953
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
-472.82,
-835.41
]
... | 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), [[835.79, 945.56], [538.15, 677.41], [735.37, 792.2], [658.73, 491.15], [993.43, 655.52], [660.67, 842.08]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[791.57, 874.13], [446.32, 669.81], [700.92, 729.21], [656.46, 495.2], [1062.27, 702.08], [555.47, 8... | ballsim | G_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": [
198,
84,
204
],
"density": 1,
"position": [
880,
1017
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-442.04,
-714.42
]
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[612.59, 696.83], [792.46, 867.1], [913.26, 856.86], [626.73, 852.5], [617.19, 813.2], [976.67, 755.05]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[565.18, 618.65], [785.91, 965.19], [982.53, 811.72], [701.51, 786.95], [534.38, 792.4], [1043.34, 703... | ballsim | G_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": [
181,
174,
238
],
"density": 1,
"position": [
660,
775
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-474.21,
-781.74
]
... | 50 | function |
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