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[ { "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), [[922.26, 889.64], [856.46, 647.65], [885.52, 927.37]]) <= 50.0", "assert check_distance(predict_position(0.20), [[949.53, 890.96], [882.93, 690.3], [849.27, 1000.02]]) <= 50.0", "assert check_distance(predict_position(0.30), [[957.5, 872.91], [909.46, 733.06], [78...
ballsim
G_1_47
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": [ 210, 171, 61 ], "density": 1, "position": [ 920, 845 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -57.79, 585.61 ] }, ...
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), [[845.58, 642.09], [729.34, 766.59], [656.06, 644.83]]) <= 50.0", "assert check_distance(predict_position(0.20), [[872.77, 646.78], [677.68, 792.17], [617.12, 622.66]]) <= 50.0", "assert check_distance(predict_position(0.30), [[871.03, 701.7], [625.89, 817.82], [57...
ballsim
G_1_1018
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": [ 81, 97, 151 ], "density": 1, "position": [ 799, 671 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 465.8, -289.08 ] }, ...
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), [[755.09, 713.71], [857.01, 613.13], [722.53, 597.04]]) <= 50.0", "assert check_distance(predict_position(0.20), [[797.18, 712.41], [864.01, 567.25], [738.05, 634.07]]) <= 50.0", "assert check_distance(predict_position(0.30), [[839.37, 711.11], [871.04, 521.26], [7...
ballsim
G_1_288
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": [ 244, 166, 192 ], "density": 1, "position": [ 713, 715 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 420.92, -12.89 ] },...
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), [[774.99, 803.01], [768.29, 710.67], [716.9, 873.74]]) <= 50.0", "assert check_distance(predict_position(0.20), [[740.98, 837.02], [719.59, 719.33], [686.79, 905.48]]) <= 50.0", "assert check_distance(predict_position(0.30), [[706.89, 871.11], [670.76, 728.02], [65...
ballsim
G_1_617
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": [ 126, 186, 136 ], "density": 1, "position": [ 809, 769 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -340.14, 340.02 ] }...
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), [[822.4, 748.21], [639.55, 534.87], [661.34, 711.23]]) <= 50.0", "assert check_distance(predict_position(0.20), [[860.81, 733.41], [652.6, 547.23], [631.67, 750.47]]) <= 50.0", "assert check_distance(predict_position(0.30), [[899.31, 718.58], [687.82, 581.77], [601...
ballsim
G_1_975
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": [ 194, 98, 151 ], "density": 1, "position": [ 784, 763 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 384.11, -147.97 ] },...
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), [[802.87, 778.02], [608.51, 785.89], [736.59, 818.29]]) <= 50.0", "assert check_distance(predict_position(0.20), [[818.74, 820.03], [592.01, 799.78], [737.17, 865.58]]) <= 50.0", "assert check_distance(predict_position(0.30), [[834.65, 862.15], [647.64, 813.71], [7...
ballsim
G_1_583
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": [ 244, 91, 144 ], "density": 1, "position": [ 787, 736 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 158.59, 420.09 ] }, ...
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), [[727.37, 689.3], [618.46, 808.29], [827.99, 885.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[709.75, 650.61], [584.91, 782.58], [795.99, 919.33]]) <= 50.0", "assert check_distance(predict_position(0.30), [[692.08, 611.81], [551.28, 756.81], [76...
ballsim
G_1_803
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": [ 122, 181, 197 ], "density": 1, "position": [ 745, 728 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -176.16, -386.91 ] ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[929.99, 680.14], [704.08, 811.48], [628.84, 646.47]]) <= 50.0", "assert check_distance(predict_position(0.20), [[890.97, 699.28], [661.16, 848.95], [687.68, 655.95]]) <= 50.0", "assert check_distance(predict_position(0.30), [[851.86, 718.47], [618.13, 886.52], [7...
ballsim
G_1_537
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": [ 109, 100, 136 ], "density": 1, "position": [ 969, 661 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -390.07, 191.34 ] }...
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), [[782.53, 724.11], [626.16, 651.47], [940.02, 615.6]]) <= 50.0", "assert check_distance(predict_position(0.20), [[755.07, 683.21], [667.32, 654.93], [960.04, 580.2]]) <= 50.0", "assert check_distance(predict_position(0.30), [[743.29, 642.22], [689.86, 658.41], [980...
ballsim
G_1_700
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": [ 51, 173, 218 ], "density": 1, "position": [ 810, 765 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -274.65, -408.98 ] }...
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), [[702.12, 787.9], [887.8, 646.98], [827.43, 735.65]]) <= 50.0", "assert check_distance(predict_position(0.20), [[704.25, 834.8], [929.59, 650.96], [845.87, 772.29]]) <= 50.0", "assert check_distance(predict_position(0.30), [[706.38, 881.82], [971.5, 654.95], [864.3...
ballsim
G_1_957
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": [ 188, 160, 87 ], "density": 1, "position": [ 700, 741 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 21.34, 469.05 ] }, ...
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), [[664.68, 712.81], [741.35, 771.55], [894.11, 735.5]]) <= 50.0", "assert check_distance(predict_position(0.20), [[707.35, 739.61], [702.71, 811.1], [932.22, 697.0]]) <= 50.0", "assert check_distance(predict_position(0.30), [[750.13, 766.49], [663.96, 850.75], [951....
ballsim
G_1_940
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": [ 119, 152, 186 ], "density": 1, "position": [ 622, 686 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 426.8, 268.03 ] }, ...
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), [[748.74, 552.63], [823.03, 1029.21], [751.18, 859.81]]) <= 50.0", "assert check_distance(predict_position(0.20), [[710.49, 574.26], [849.05, 1050.45], [740.37, 911.61]]) <= 50.0", "assert check_distance(predict_position(0.30), [[672.13, 595.95], [875.14, 1015.15],...
ballsim
G_1_800
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": [ 186, 61, 179 ], "density": 1, "position": [ 787, 531 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -382.59, 216.29 ] },...
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), [[821.04, 687.86], [634.53, 844.89], [770.27, 755.45]]) <= 50.0", "assert check_distance(predict_position(0.20), [[812.08, 746.72], [598.05, 879.78], [793.53, 790.9]]) <= 50.0", "assert check_distance(predict_position(0.30), [[806.19, 796.23], [595.9, 914.75], [811...
ballsim
G_1_792
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": [ 247, 248, 160 ], "density": 1, "position": [ 830, 629 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -89.48, 588.55 ] },...
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), [[807.56, 784.55], [666.17, 709.26], [738.21, 823.26]]) <= 50.0", "assert check_distance(predict_position(0.20), [[766.76, 775.1], [617.34, 697.51], [725.43, 769.53]]) <= 50.0", "assert check_distance(predict_position(0.30), [[776.87, 765.63], [596.63, 685.74], [68...
ballsim
G_1_325
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": [ 94, 131, 95 ], "density": 1, "position": [ 863, 794 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -554.39, -94.41 ] }, ...
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), [[637.47, 686.38], [811.19, 665.76], [917.42, 658.98]]) <= 50.0", "assert check_distance(predict_position(0.20), [[617.94, 727.76], [809.39, 618.52], [926.85, 617.97]]) <= 50.0", "assert check_distance(predict_position(0.30), [[598.36, 769.25], [807.58, 571.16], [9...
ballsim
G_1_580
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": [ 83, 82, 106 ], "density": 1, "position": [ 657, 645 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -195.25, 413.84 ] }, ...
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), [[885.65, 677.97], [817.87, 713.46], [757.7, 709.94]]) <= 50.0", "assert check_distance(predict_position(0.20), [[905.31, 719.94], [819.62, 725.23], [684.45, 715.22]]) <= 50.0", "assert check_distance(predict_position(0.30), [[925.01, 762.01], [821.39, 737.03], [61...
ballsim
G_1_967
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": [ 222, 186, 75 ], "density": 1, "position": [ 866, 636 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 196.43, 419.69 ] }, ...
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), [[668.27, 823.16], [711.51, 527.14], [788.46, 675.57]]) <= 50.0", "assert check_distance(predict_position(0.20), [[690.53, 858.31], [664.03, 496.29], [739.93, 664.15]]) <= 50.0", "assert check_distance(predict_position(0.30), [[712.85, 893.56], [679.66, 528.58], [6...
ballsim
G_1_576
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": [ 129, 179, 64 ], "density": 1, "position": [ 646, 788 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 222.63, 351.45 ] }, ...
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), [[868.72, 892.88], [781.95, 974.12], [839.23, 616.36]]) <= 50.0", "assert check_distance(predict_position(0.20), [[910.45, 897.77], [826.89, 972.24], [827.46, 663.73]]) <= 50.0", "assert check_distance(predict_position(0.30), [[952.28, 902.66], [871.95, 970.36], [8...
ballsim
G_1_988
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": [ 160, 102, 141 ], "density": 1, "position": [ 827, 888 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 417.24, 48.84 ] }, ...
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), [[599.86, 782.41], [730.68, 830.01], [672.25, 761.61]]) <= 50.0", "assert check_distance(predict_position(0.20), [[627.71, 822.81], [707.37, 868.03], [631.51, 782.21]]) <= 50.0", "assert check_distance(predict_position(0.30), [[655.64, 863.32], [684.0, 906.13], [59...
ballsim
G_1_841
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": [ 133, 229, 134 ], "density": 1, "position": [ 572, 742 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 278.54, 404.07 ] },...
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), [[550.36, 816.58], [751.59, 596.36], [545.57, 852.27]]) <= 50.0", "assert check_distance(predict_position(0.20), [[509.65, 776.85], [706.18, 563.72], [505.99, 849.76]]) <= 50.0", "assert check_distance(predict_position(0.30), [[471.2, 732.95], [660.66, 530.99], [51...
ballsim
G_1_370
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": [ 50, 145, 227 ], "density": 1, "position": [ 608, 827 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -576.33, -104.17 ] }...
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), [[778.01, 811.08], [737.67, 711.7], [626.41, 959.0]]) <= 50.0", "assert check_distance(predict_position(0.20), [[735.01, 846.17], [778.35, 753.4], [666.96, 995.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[691.91, 881.34], [819.12, 795.2], [722.1...
ballsim
G_1_28
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": [ 103, 99, 180 ], "density": 1, "position": [ 821, 776 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -429.94, 350.75 ] },...
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), [[711.91, 942.52], [654.82, 975.41], [894.82, 943.13]]) <= 50.0", "assert check_distance(predict_position(0.20), [[681.79, 946.62], [663.68, 1029.65], [914.65, 978.26]]) <= 50.0", "assert check_distance(predict_position(0.30), [[660.61, 935.09], [654.5, 999.56], [9...
ballsim
G_1_727
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": [ 166, 113, 93 ], "density": 1, "position": [ 759, 909 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -470.98, 335.2 ] }, ...
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), [[739.29, 831.37], [858.95, 543.62], [643.31, 540.56]]) <= 50.0", "assert check_distance(predict_position(0.20), [[715.59, 864.75], [807.9, 531.24], [688.62, 515.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[691.82, 898.21], [756.72, 518.84], [73...
ballsim
G_1_38
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, 132, 193 ], "density": 1, "position": [ 763, 798 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -237.01, 333.77 ] }...
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), [[868.71, 831.04], [662.41, 694.24], [743.02, 830.53]]) <= 50.0", "assert check_distance(predict_position(0.20), [[874.92, 871.19], [630.82, 719.49], [761.04, 876.06]]) <= 50.0", "assert check_distance(predict_position(0.30), [[842.66, 844.79], [599.15, 744.8], [77...
ballsim
G_1_984
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": [ 180, 146, 233 ], "density": 1, "position": [ 862, 790 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 67.17, 410.31 ] }, ...
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), [[819.96, 704.27], [793.68, 817.86], [699.66, 716.02]]) <= 50.0", "assert check_distance(predict_position(0.20), [[781.16, 706.54], [814.36, 872.72], [740.38, 707.03]]) <= 50.0", "assert check_distance(predict_position(0.30), [[801.86, 708.82], [808.8, 882.2], [672...
ballsim
G_1_955
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": [ 130, 173, 107 ], "density": 1, "position": [ 862, 702 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -420.39, 22.64 ] },...
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), [[814.69, 777.09], [693.4, 881.86], [626.64, 707.45]]) <= 50.0", "assert check_distance(predict_position(0.20), [[826.39, 818.18], [653.8, 891.73], [586.29, 691.9]]) <= 50.0", "assert check_distance(predict_position(0.30), [[838.11, 859.37], [614.1, 901.61], [611.5...
ballsim
G_1_509
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": [ 188, 231, 188 ], "density": 1, "position": [ 803, 736 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 116.89, 410.92 ] },...
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), [[859.5, 951.4], [724.46, 753.16], [653.2, 752.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[899.0, 986.8], [672.92, 769.32], [611.41, 732.84]]) <= 50.0", "assert check_distance(predict_position(0.30), [[938.6, 1022.29], [621.26, 785.53], [569.5,...
ballsim
G_1_732
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, 89, 232 ], "density": 1, "position": [ 820, 916 ], "radius": 20, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 395.13, 353.98 ] }, ...
50
function
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