messages list | ground_truth list | dataset string | id string | difficulty int64 | timestamps list | scene_config dict | tolerance float64 | prompt_setting string |
|---|---|---|---|---|---|---|---|---|
[
{
"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), [[735.6, 698.54], [758.65, 638.82], [668.84, 672.68]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[721.19, 647.07], [803.31, 629.64], [654.68, 619.36]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[706.75, 595.48], [843.95, 626.63], [64... | ballsim | BG_1_26 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
62,
176,
125
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-144.1,
-514.55
]
},... | 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), [[752.7, 795.78], [797.18, 809.49], [726.25, 683.17]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[695.1, 797.76], [842.05, 829.04], [777.49, 711.35]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[637.37, 799.74], [887.04, 848.65], [828... | ballsim | BG_1_24 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
199,
182,
213
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
113.2,
520.44
]
},
... | 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), [[778.47, 783.06], [824.07, 872.08], [753.37, 654.1]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[806.93, 816.11], [875.15, 901.15], [728.73, 609.21]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[835.47, 849.25], [926.35, 930.3], [704... | ballsim | BG_1_20 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
224,
112,
253
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
284.69,
330.68
]
},... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[754.25, 796.07], [640.33, 833.64], [808.77, 832.03]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[758.5, 842.14], [598.65, 814.28], [845.54, 861.06]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[762.75, 888.32], [556.87, 794.87], [88... | ballsim | BG_1_12 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
229,
157,
240
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
42.49,
460.64
]
},
... | 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), [[731.67, 788.6], [641.01, 760.28], [621.55, 818.3]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[713.33, 827.2], [604.03, 797.56], [615.11, 871.59]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[694.95, 865.89], [569.1, 833.94], [610.2... | ballsim | BG_1_5 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
85,
129,
136
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-183.34,
386.07
]
},... | 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), [[701.59, 784.89], [641.54, 809.65], [841.58, 769.46]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[653.17, 819.78], [615.07, 779.31], [884.16, 760.91]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[604.64, 854.75], [588.54, 748.88], [9... | ballsim | BG_1_46 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
63,
50,
159
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
-484.17,
348.8
]
},
... | 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), [[746.12, 701.46], [806.16, 733.07], [822.66, 626.15]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[720.97, 640.65], [824.96, 699.28], [825.32, 579.3]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[695.76, 579.68], [843.81, 665.41], [82... | ballsim | BG_1_27 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
73,
172,
141
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
344.11,
-264.29
]
},... | 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), [[789.23, 715.16], [825.5, 658.41], [658.09, 754.87]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[828.47, 680.32], [813.0, 603.82], [630.19, 792.73]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[867.8, 645.4], [799.44, 556.35], [602.2... | ballsim | BG_1_10 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
214,
101,
98
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
392.27,
-348.29
]
},... | 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), [[731.67, 788.6], [641.01, 760.28], [621.55, 818.3]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[713.33, 827.2], [604.03, 797.56], [615.11, 871.59]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[694.95, 865.89], [569.1, 833.94], [610.2... | ballsim | BG_1_30 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
85,
129,
136
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-183.34,
386.07
]
},... | 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), [[735.74, 799.0], [738.41, 697.48], [711.01, 823.34]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[776.14, 793.34], [703.81, 718.97], [673.02, 866.7]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[816.65, 787.66], [669.13, 740.51], [634... | ballsim | BG_1_17 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
74,
177,
184
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-150.22,
497.64
]
},... | 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), [[785.19, 758.55], [707.37, 637.29], [702.13, 808.88]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[822.64, 760.14], [662.74, 611.58], [642.0, 825.73]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[860.19, 761.73], [618.0, 585.81], [581... | ballsim | BG_1_32 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
200,
146,
87
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
236.48,
440.66
]
},
... | 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), [[782.29, 766.49], [736.28, 687.1], [832.89, 729.62]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[798.79, 798.77], [775.56, 711.19], [893.04, 736.97]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[815.33, 831.13], [814.94, 735.35], [95... | ballsim | BG_1_22 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
218,
188,
216
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
537.69,
-49.69
]
},... | 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), [[729.8, 765.95], [660.51, 743.7], [716.63, 648.73]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[751.58, 806.13], [599.47, 742.92], [661.26, 669.46]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[773.41, 846.42], [538.28, 742.14], [605... | ballsim | BG_1_13 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
254,
249,
141
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-476.86,
0.81
]
},
... | 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), [[725.81, 782.35], [682.01, 647.78], [592.31, 736.68]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[701.61, 814.7], [641.02, 643.55], [537.62, 733.36]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[677.36, 847.13], [599.92, 639.32], [48... | ballsim | BG_1_4 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
159,
72,
149
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-241.94,
323.58
]
},... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[791.21, 741.77], [717.81, 732.96], [635.55, 826.19]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[832.42, 733.54], [769.61, 745.93], [626.1, 869.38]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[873.74, 725.3], [821.55, 758.92], [616... | ballsim | BG_1_40 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
143,
186,
157
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
412.06,
-82.23
]
},... | 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), [[695.95, 770.24], [826.34, 622.83], [752.88, 651.24]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[641.89, 790.48], [817.48, 663.82], [801.75, 617.47]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[594.5, 811.45], [808.59, 704.91], [80... | ballsim | BG_1_39 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
93,
218,
77
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
-540.47,
202.36
]
},
... | 50 | function |
[
{
"content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct... | [
"assert check_distance(predict_position(0.10), [[796.53, 759.85], [708.62, 833.67], [826.0, 735.08]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[795.16, 797.35], [746.24, 866.33], [839.33, 680.93]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[793.79, 834.94], [783.96, 899.08], [85... | ballsim | BG_1_11 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
246,
246,
244
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
471.01,
95.13
]
},
... | 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), [[780.32, 759.42], [808.81, 808.34], [726.3, 671.08]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[785.08, 743.28], [799.11, 883.17], [682.6, 648.15]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[789.85, 727.1], [776.15, 941.18], [638.... | ballsim | BG_1_25 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
69,
202,
240
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 4,
"velocity": [
463.19,
254.1
]
},
... | 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), [[796.53, 759.85], [708.62, 833.67], [826.0, 735.08]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[795.16, 797.35], [746.24, 866.33], [839.33, 680.93]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[793.79, 834.94], [783.96, 899.08], [85... | ballsim | BG_1_36 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
246,
246,
244
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
471.01,
95.13
]
},
... | 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), [[735.6, 698.54], [758.65, 638.82], [668.84, 672.68]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[721.19, 647.07], [803.31, 629.64], [654.68, 619.36]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[706.75, 595.48], [843.95, 626.63], [64... | ballsim | BG_1_1 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
62,
176,
125
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 3,
"velocity": [
-144.1,
-514.55
]
},... | 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), [[776.87, 707.83], [701.02, 866.76], [804.36, 679.51]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[769.22, 685.59], [676.05, 917.51], [817.43, 608.24]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[761.56, 663.29], [651.01, 968.4], [83... | ballsim | BG_1_44 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
91,
194,
104
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
274.85,
-425.26
]
},... | 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), [[776.87, 707.83], [701.02, 866.76], [804.36, 679.51]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[769.22, 685.59], [676.05, 917.51], [817.43, 608.24]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[761.56, 663.29], [651.01, 968.4], [83... | ballsim | BG_1_19 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
91,
194,
104
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
274.85,
-425.26
]
},... | 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), [[775.26, 782.07], [738.41, 741.49], [683.02, 774.8]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[806.41, 810.73], [782.67, 736.88], [622.86, 772.31]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[837.64, 839.46], [827.04, 732.25], [56... | ballsim | BG_1_34 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
64,
82,
75
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-27.46,
482.32
]
},
... | 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), [[752.7, 795.78], [797.18, 809.49], [726.25, 683.17]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[695.1, 797.76], [842.05, 829.04], [777.49, 711.35]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[637.37, 799.74], [887.04, 848.65], [828... | ballsim | BG_1_49 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
199,
182,
213
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 5,
"velocity": [
113.2,
520.44
]
},
... | 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), [[735.74, 799.0], [738.41, 697.48], [711.01, 823.34]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[776.14, 793.34], [703.81, 718.97], [673.02, 866.7]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[816.65, 787.66], [669.13, 740.51], [634... | ballsim | BG_1_42 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
74,
177,
184
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
-150.22,
497.64
]
},... | 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), [[799.49, 782.71], [695.21, 685.62], [732.86, 810.52]]) <= 50.0",
"assert check_distance(predict_position(0.20), [[848.97, 815.43], [733.42, 673.24], [690.72, 769.04]]) <= 50.0",
"assert check_distance(predict_position(0.30), [[898.59, 848.23], [771.72, 660.84], [6... | ballsim | BG_1_31 | 1 | [
0.1,
0.2,
0.3,
0.4,
0.5,
0.6,
0.7,
0.8,
0.9,
1,
1.1,
1.2,
1.3,
1.4,
1.5
] | {
"balls": [
{
"color": [
241,
89,
167
],
"density": 1,
"position": [
750,
750
],
"radius": 20,
"restitution": 1,
"rotation_affected": false,
"sides": 6,
"velocity": [
494.77,
327.06
]
},
... | 50 | function |
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