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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), [[729.92, 734.18]]) <= 50.0", "assert check_distance(predict_position(0.20), [[720.84, 690.35]]) <= 50.0", "assert check_distance(predict_position(0.30), [[711.73, 646.42]]) <= 50.0", "assert check_distance(predict_position(0.40), [[721.17, 659.6]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 739, 778 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -90.73, -438.3 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[848.04, 739.66]]) <= 50.0", "assert check_distance(predict_position(0.20), [[886.07, 712.31]]) <= 50.0", "assert check_distance(predict_position(0.30), [[899.52, 699.16]]) <= 50.0", "assert check_distance(predict_position(0.40), [[864.7, 713.88]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 810, 767 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 380.48, -273.37 ] } ...
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), [[705.3, 853.71]]) <= 50.0", "assert check_distance(predict_position(0.20), [[728.63, 848.86]]) <= 50.0", "assert check_distance(predict_position(0.30), [[765.02, 804.0]]) <= 50.0", "assert check_distance(predict_position(0.40), [[801.33, 759.25]]) <= 50.0", "a...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 701, 800 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 43.09, 537.02 ] } ...
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), [[696.13, 726.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[659.27, 763.34]]) <= 50.0", "assert check_distance(predict_position(0.30), [[645.14, 786.91]]) <= 50.0", "assert check_distance(predict_position(0.40), [[705.96, 767.16]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 733, 690 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -368.68, 366.59 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[691.68, 856.7]]) <= 50.0", "assert check_distance(predict_position(0.20), [[709.47, 841.64]]) <= 50.0", "assert check_distance(predict_position(0.30), [[735.17, 802.33]]) <= 50.0", "assert check_distance(predict_position(0.40), [[760.81, 763.12]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 692, 816 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -3.25, 406.89 ] } ...
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), [[697.37, 762.27]]) <= 50.0", "assert check_distance(predict_position(0.20), [[650.74, 791.54]]) <= 50.0", "assert check_distance(predict_position(0.30), [[648.81, 820.89]]) <= 50.0", "assert check_distance(predict_position(0.40), [[705.04, 850.16]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 744, 733 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -466.35, 292.84 ] } ...
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), [[752.27, 649.78]]) <= 50.0", "assert check_distance(predict_position(0.20), [[758.55, 602.3]]) <= 50.0", "assert check_distance(predict_position(0.30), [[764.84, 651.64]]) <= 50.0", "assert check_distance(predict_position(0.40), [[771.11, 700.86]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 746, 699 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 62.77, -492.1 ] } ...
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), [[843.88, 782.61]]) <= 50.0", "assert check_distance(predict_position(0.20), [[897.76, 787.23]]) <= 50.0", "assert check_distance(predict_position(0.30), [[913.5, 764.04]]) <= 50.0", "assert check_distance(predict_position(0.40), [[902.64, 721.61]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 790, 778 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 538.78, 46.05 ] } ...
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), [[692.61, 759.73]]) <= 50.0", "assert check_distance(predict_position(0.20), [[693.22, 712.47]]) <= 50.0", "assert check_distance(predict_position(0.30), [[693.83, 665.08]]) <= 50.0", "assert check_distance(predict_position(0.40), [[694.44, 617.82]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 692, 807 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 6.03, -472.65 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[717.83, 699.04]]) <= 50.0", "assert check_distance(predict_position(0.20), [[668.66, 695.09]]) <= 50.0", "assert check_distance(predict_position(0.30), [[631.51, 691.12]]) <= 50.0", "assert check_distance(predict_position(0.40), [[688.79, 687.17]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 767, 703 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -491.68, -39.49 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[750.77, 678.37]]) <= 50.0", "assert check_distance(predict_position(0.20), [[736.53, 632.74]]) <= 50.0", "assert check_distance(predict_position(0.30), [[741.06, 644.86]]) <= 50.0", "assert check_distance(predict_position(0.40), [[757.81, 694.59]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 765, 724 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -142.39, -456.28 ] }...
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), [[836.9, 772.58]]) <= 50.0", "assert check_distance(predict_position(0.20), [[879.79, 768.16]]) <= 50.0", "assert check_distance(predict_position(0.30), [[922.79, 763.73]]) <= 50.0", "assert check_distance(predict_position(0.40), [[936.51, 738.12]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 794, 777 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 428.94, -44.16 ] } ...
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), [[649.09, 669.62]]) <= 50.0", "assert check_distance(predict_position(0.20), [[642.71, 675.43]]) <= 50.0", "assert check_distance(predict_position(0.30), [[666.47, 728.0]]) <= 50.0", "assert check_distance(predict_position(0.40), [[690.18, 780.44]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 681, 704 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -319.04, -343.67 ] }...
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), [[822.34, 686.68]]) <= 50.0", "assert check_distance(predict_position(0.20), [[868.68, 660.36]]) <= 50.0", "assert check_distance(predict_position(0.30), [[841.81, 687.23]]) <= 50.0", "assert check_distance(predict_position(0.40), [[809.64, 717.95]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 776, 713 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 463.47, -263.28 ] } ...
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), [[693.81, 759.06]]) <= 50.0", "assert check_distance(predict_position(0.20), [[653.63, 771.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[666.16, 783.21]]) <= 50.0", "assert check_distance(predict_position(0.40), [[719.94, 795.27]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 734, 747 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -401.96, 120.7 ] } ...
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), [[678.18, 775.13]]) <= 50.0", "assert check_distance(predict_position(0.20), [[635.36, 788.27]]) <= 50.0", "assert check_distance(predict_position(0.30), [[645.43, 770.83]]) <= 50.0", "assert check_distance(predict_position(0.40), [[687.88, 734.72]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 721, 762 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -428.23, 131.37 ] } ...
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), [[840.15, 706.02]]) <= 50.0", "assert check_distance(predict_position(0.20), [[872.31, 679.04]]) <= 50.0", "assert check_distance(predict_position(0.30), [[883.3, 664.27]]) <= 50.0", "assert check_distance(predict_position(0.40), [[852.4, 673.71]]) <= 50.0", "a...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 808, 733 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 321.56, -269.68 ] } ...
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), [[652.3, 810.71]]) <= 50.0", "assert check_distance(predict_position(0.20), [[655.88, 814.44]]) <= 50.0", "assert check_distance(predict_position(0.30), [[711.12, 788.35]]) <= 50.0", "assert check_distance(predict_position(0.40), [[766.22, 762.32]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 692, 782 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -396.97, 287.03 ] } ...
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), [[698.78, 813.08]]) <= 50.0", "assert check_distance(predict_position(0.20), [[648.56, 816.15]]) <= 50.0", "assert check_distance(predict_position(0.30), [[671.39, 819.24]]) <= 50.0", "assert check_distance(predict_position(0.40), [[736.4, 822.31]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 749, 810 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -502.22, 30.65 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[755.95, 735.33]]) <= 50.0", "assert check_distance(predict_position(0.20), [[730.9, 769.65]]) <= 50.0", "assert check_distance(predict_position(0.30), [[705.79, 804.06]]) <= 50.0", "assert check_distance(predict_position(0.40), [[680.74, 838.39]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 781, 701 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -250.47, 343.22 ] } ...
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), [[720.91, 746.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[750.81, 704.06]]) <= 50.0", "assert check_distance(predict_position(0.30), [[780.8, 661.99]]) <= 50.0", "assert check_distance(predict_position(0.40), [[810.7, 620.02]]) <= 50.0", "a...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 691, 788 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 299.09, -419.73 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[743.59, 722.52]]) <= 50.0", "assert check_distance(predict_position(0.20), [[702.19, 753.04]]) <= 50.0", "assert check_distance(predict_position(0.30), [[660.68, 783.63]]) <= 50.0", "assert check_distance(predict_position(0.40), [[668.22, 785.89]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 785, 692 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -413.99, 305.22 ] } ...
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), [[691.05, 772.05]]) <= 50.0", "assert check_distance(predict_position(0.20), [[643.1, 772.1]]) <= 50.0", "assert check_distance(predict_position(0.30), [[688.38, 772.15]]) <= 50.0", "assert check_distance(predict_position(0.40), [[755.72, 772.2]]) <= 50.0", "as...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 739, 772 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -479.38, 0.55 ] } ...
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), [[662.91, 672.88]]) <= 50.0", "assert check_distance(predict_position(0.20), [[698.33, 670.78]]) <= 50.0", "assert check_distance(predict_position(0.30), [[773.46, 691.56]]) <= 50.0", "assert check_distance(predict_position(0.40), [[848.42, 712.29]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 702, 718 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -390.97, -451.26 ] }...
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), [[827.66, 809.24]]) <= 50.0", "assert check_distance(predict_position(0.20), [[878.32, 825.47]]) <= 50.0", "assert check_distance(predict_position(0.30), [[880.51, 813.71]]) <= 50.0", "assert check_distance(predict_position(0.40), [[851.46, 783.95]]) <= 50.0", ...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 777, 793 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 506.5, 162.43 ] } ...
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), [[654.66, 822.79]]) <= 50.0", "assert check_distance(predict_position(0.20), [[652.28, 802.2]]) <= 50.0", "assert check_distance(predict_position(0.30), [[692.32, 757.07]]) <= 50.0", "assert check_distance(predict_position(0.40), [[732.26, 712.05]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 701, 818 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -463.28, 47.83 ] } ...
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), [[784.88, 850.13]]) <= 50.0", "assert check_distance(predict_position(0.20), [[790.77, 892.89]]) <= 50.0", "assert check_distance(predict_position(0.30), [[796.67, 838.62]]) <= 50.0", "assert check_distance(predict_position(0.40), [[802.55, 784.5]]) <= 50.0", "...
ballsim
C_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": [ 120, 220, 80 ], "density": 1, "position": [ 779, 796 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 58.86, 541.15 ] } ...
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), [[637.62, 761.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[664.26, 763.83]]) <= 50.0", "assert check_distance(predict_position(0.30), [[728.27, 766.26]]) <= 50.0", "assert check_distance(predict_position(0.40), [[792.11, 768.67]]) <= 50.0", ...
ballsim
C_1_405
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": [ 120, 220, 80 ], "density": 1, "position": [ 682, 759 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -443.81, 24.12 ] } ...
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), [[745.33, 631.41]]) <= 50.0", "assert check_distance(predict_position(0.20), [[732.66, 630.05]]) <= 50.0", "assert check_distance(predict_position(0.30), [[719.96, 688.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[707.28, 747.38]]) <= 50.0", ...
ballsim
C_1_756
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": [ 120, 220, 80 ], "density": 1, "position": [ 758, 690 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -126.69, -585.9 ] } ...
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), [[766.4, 687.23]]) <= 50.0", "assert check_distance(predict_position(0.20), [[780.81, 646.46]]) <= 50.0", "assert check_distance(predict_position(0.30), [[795.25, 605.58]]) <= 50.0", "assert check_distance(predict_position(0.40), [[809.65, 638.05]]) <= 50.0", "...
ballsim
C_1_718
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": [ 120, 220, 80 ], "density": 1, "position": [ 752, 728 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 144.09, -407.82 ] } ...
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), [[758.2, 822.46]]) <= 50.0", "assert check_distance(predict_position(0.20), [[709.39, 840.91]]) <= 50.0", "assert check_distance(predict_position(0.30), [[660.47, 859.42]]) <= 50.0", "assert check_distance(predict_position(0.40), [[644.35, 816.48]]) <= 50.0", "...
ballsim
C_1_396
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": [ 120, 220, 80 ], "density": 1, "position": [ 807, 804 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -488.13, 184.68 ] } ...
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), [[758.61, 695.17]]) <= 50.0", "assert check_distance(predict_position(0.20), [[704.21, 672.35]]) <= 50.0", "assert check_distance(predict_position(0.30), [[663.63, 657.52]]) <= 50.0", "assert check_distance(predict_position(0.40), [[719.96, 698.61]]) <= 50.0", ...
ballsim
C_1_829
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": [ 120, 220, 80 ], "density": 1, "position": [ 813, 718 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -543.99, -228.37 ] }...
50
function
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