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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), [[723.16, 685.83]]) <= 50.0", "assert check_distance(predict_position(0.20), [[808.81, 650.26]]) <= 50.0", "assert check_distance(predict_position(0.30), [[792.21, 632.02]]) <= 50.0", "assert check_distance(predict_position(0.40), [[728.12, 638.54]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 709, 751 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -354.08, -856.99 ] ...
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), [[699.84, 665.06]]) <= 50.0", "assert check_distance(predict_position(0.20), [[715.78, 709.43]]) <= 50.0", "assert check_distance(predict_position(0.30), [[698.58, 795.54]]) <= 50.0", "assert check_distance(predict_position(0.40), [[686.03, 870.29]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 722, 703 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 121.74, -867.43 ] }...
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), [[773.85, 686.5]]) <= 50.0", "assert check_distance(predict_position(0.20), [[786.55, 618.84]]) <= 50.0", "assert check_distance(predict_position(0.30), [[741.42, 690.67]]) <= 50.0", "assert check_distance(predict_position(0.40), [[696.4, 762.33]]) <= 50.0", "a...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 755, 769 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 188.46, -825.06 ] }...
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), [[711.09, 781.56]]) <= 50.0", "assert check_distance(predict_position(0.20), [[631.05, 824.75]]) <= 50.0", "assert check_distance(predict_position(0.30), [[661.3, 729.5]]) <= 50.0", "assert check_distance(predict_position(0.40), [[691.48, 634.48]]) <= 50.0", "a...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 797, 731 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -859.19, 505.6 ] } ...
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), [[644.52, 845.92]]) <= 50.0", "assert check_distance(predict_position(0.20), [[708.71, 838.31]]) <= 50.0", "assert check_distance(predict_position(0.30), [[763.31, 812.77]]) <= 50.0", "assert check_distance(predict_position(0.40), [[716.39, 745.29]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 712, 799 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -674.73, 469.16 ] }...
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), [[702.22, 753.59]]) <= 50.0", "assert check_distance(predict_position(0.20), [[753.44, 820.7]]) <= 50.0", "assert check_distance(predict_position(0.30), [[741.9, 809.13]]) <= 50.0", "assert check_distance(predict_position(0.40), [[687.87, 744.26]]) <= 50.0", "a...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 744, 725 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -836.85, 112.39 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[679.06, 752.43]]) <= 50.0", "assert check_distance(predict_position(0.20), [[634.61, 747.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[727.79, 743.29]]) <= 50.0", "assert check_distance(predict_position(0.40), [[820.73, 738.73]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 772, 757 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -929.54, -45.62 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[759.74, 724.4]]) <= 50.0", "assert check_distance(predict_position(0.20), [[683.11, 689.94]]) <= 50.0", "assert check_distance(predict_position(0.30), [[633.74, 775.63]]) <= 50.0", "assert check_distance(predict_position(0.40), [[662.86, 833.91]]) <= 50.0", "...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 788, 758 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 969.44, 182.6 ] } ...
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), [[730.01, 810.22]]) <= 50.0", "assert check_distance(predict_position(0.20), [[662.01, 860.44]]) <= 50.0", "assert check_distance(predict_position(0.30), [[644.86, 787.63]]) <= 50.0", "assert check_distance(predict_position(0.40), [[650.42, 747.83]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 798, 760 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -679.89, 502.13 ] }...
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), [[773.1, 698.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[680.45, 724.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[633.16, 750.83]]) <= 50.0", "assert check_distance(predict_position(0.40), [[725.81, 777.2]]) <= 50.0", "as...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 782, 730 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 961.62, 57.16 ] } ...
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), [[767.36, 783.5]]) <= 50.0", "assert check_distance(predict_position(0.20), [[831.71, 847.0]]) <= 50.0", "assert check_distance(predict_position(0.30), [[849.39, 797.58]]) <= 50.0", "assert check_distance(predict_position(0.40), [[803.31, 765.72]]) <= 50.0", "a...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 703, 720 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 643.59, 635.01 ] } ...
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), [[732.09, 695.04]]) <= 50.0", "assert check_distance(predict_position(0.20), [[830.75, 704.96]]) <= 50.0", "assert check_distance(predict_position(0.30), [[862.73, 742.61]]) <= 50.0", "assert check_distance(predict_position(0.40), [[799.98, 819.37]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 724, 770 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -232.26, -963.91 ] ...
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), [[740.88, 783.06]]) <= 50.0", "assert check_distance(predict_position(0.20), [[702.32, 781.34]]) <= 50.0", "assert check_distance(predict_position(0.30), [[772.24, 739.85]]) <= 50.0", "assert check_distance(predict_position(0.40), [[842.87, 698.84]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 794, 721 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -531.18, 620.52 ] }...
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), [[872.32, 770.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[846.06, 740.11]]) <= 50.0", "assert check_distance(predict_position(0.30), [[778.61, 692.26]]) <= 50.0", "assert check_distance(predict_position(0.40), [[731.76, 734.06]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 791, 757 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 813.2, 138.34 ] } ...
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), [[813.66, 735.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[880.6, 700.61]]) <= 50.0", "assert check_distance(predict_position(0.30), [[801.4, 725.85]]) <= 50.0", "assert check_distance(predict_position(0.40), [[722.39, 751.02]]) <= 50.0", "a...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 740, 774 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 736.67, -380.78 ] }...
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), [[753.24, 746.83]]) <= 50.0", "assert check_distance(predict_position(0.20), [[663.47, 773.42]]) <= 50.0", "assert check_distance(predict_position(0.30), [[672.22, 847.64]]) <= 50.0", "assert check_distance(predict_position(0.40), [[741.86, 851.21]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 776, 748 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 822.9, -446.76 ] } ...
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), [[817.37, 783.33]]) <= 50.0", "assert check_distance(predict_position(0.20), [[765.69, 716.29]]) <= 50.0", "assert check_distance(predict_position(0.30), [[713.87, 649.08]]) <= 50.0", "assert check_distance(predict_position(0.40), [[722.97, 658.26]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 793, 755 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 538.67, 653.14 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[670.24, 732.85]]) <= 50.0", "assert check_distance(predict_position(0.20), [[637.01, 808.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[686.76, 849.18]]) <= 50.0", "assert check_distance(predict_position(0.40), [[763.47, 878.92]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 726, 712 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -767.21, -297.3 ] }...
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), [[816.21, 820.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[825.46, 828.94]]) <= 50.0", "assert check_distance(predict_position(0.30), [[795.23, 741.71]]) <= 50.0", "assert check_distance(predict_position(0.40), [[773.0, 673.81]]) <= 50.0", "...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 776, 738 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 402.02, 828.39 ] } ...
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), [[698.86, 671.33]]) <= 50.0", "assert check_distance(predict_position(0.20), [[614.41, 697.62]]) <= 50.0", "assert check_distance(predict_position(0.30), [[702.23, 723.98]]) <= 50.0", "assert check_distance(predict_position(0.40), [[789.82, 750.28]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 755, 721 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -433.64, -805.35 ] ...
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), [[678.52, 721.01]]) <= 50.0", "assert check_distance(predict_position(0.20), [[636.84, 694.15]]) <= 50.0", "assert check_distance(predict_position(0.30), [[682.68, 777.1]]) <= 50.0", "assert check_distance(predict_position(0.40), [[719.09, 837.33]]) <= 50.0", "...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 749, 784 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -704.81, -629.92 ] ...
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), [[769.31, 669.64]]) <= 50.0", "assert check_distance(predict_position(0.20), [[779.21, 644.79]]) <= 50.0", "assert check_distance(predict_position(0.30), [[806.3, 676.92]]) <= 50.0", "assert check_distance(predict_position(0.40), [[757.09, 732.68]]) <= 50.0", "...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 754, 731 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -373.91, -867.35 ] ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[826.09, 731.97]]) <= 50.0", "assert check_distance(predict_position(0.20), [[851.58, 693.49]]) <= 50.0", "assert check_distance(predict_position(0.30), [[774.26, 731.88]]) <= 50.0", "assert check_distance(predict_position(0.40), [[702.09, 782.15]]) <= 50.0", ...
ballsim
F_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": [ 100, 255, 200 ], "density": 1, "position": [ 760, 790 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 660.88, -580.34 ] }...
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), [[753.58, 702.61]]) <= 50.0", "assert check_distance(predict_position(0.20), [[764.69, 783.73]]) <= 50.0", "assert check_distance(predict_position(0.30), [[775.83, 865.06]]) <= 50.0", "assert check_distance(predict_position(0.40), [[760.3, 829.49]]) <= 50.0", "...
ballsim
F_3_984
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": [ 100, 255, 200 ], "density": 1, "position": [ 700, 724 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 652.24, -495.07 ] }...
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), [[787.96, 690.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[790.99, 778.84]]) <= 50.0", "assert check_distance(predict_position(0.30), [[801.71, 801.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[823.64, 796.82]]) <= 50.0", ...
ballsim
F_3_955
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": [ 100, 255, 200 ], "density": 1, "position": [ 721, 709 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 515.83, -854.93 ] }...
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), [[713.76, 778.44]]) <= 50.0", "assert check_distance(predict_position(0.20), [[644.52, 832.89]]) <= 50.0", "assert check_distance(predict_position(0.30), [[673.89, 763.64]]) <= 50.0", "assert check_distance(predict_position(0.40), [[711.58, 684.02]]) <= 50.0", ...
ballsim
F_3_509
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": [ 100, 255, 200 ], "density": 1, "position": [ 783, 724 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ -692.27, 544.53 ] }...
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), [[851.09, 777.34]]) <= 50.0", "assert check_distance(predict_position(0.20), [[838.06, 752.07]]) <= 50.0", "assert check_distance(predict_position(0.30), [[760.64, 695.75]]) <= 50.0", "assert check_distance(predict_position(0.40), [[697.72, 702.27]]) <= 50.0", ...
ballsim
F_3_732
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": [ 100, 255, 200 ], "density": 1, "position": [ 759, 752 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 920.78, 253.49 ] } ...
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), [[747.5, 713.97]]) <= 50.0", "assert check_distance(predict_position(0.20), [[761.0, 632.94]]) <= 50.0", "assert check_distance(predict_position(0.30), [[736.73, 642.98]]) <= 50.0", "assert check_distance(predict_position(0.40), [[688.97, 709.83]]) <= 50.0", "a...
ballsim
F_3_405
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": [ 100, 255, 200 ], "density": 1, "position": [ 734, 795 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 8, "velocity": [ 135.13, -810.37 ] }...
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), [[801.27, 655.27]]) <= 50.0", "assert check_distance(predict_position(0.20), [[777.78, 674.79]]) <= 50.0", "assert check_distance(predict_position(0.30), [[738.23, 764.49]]) <= 50.0", "assert check_distance(predict_position(0.40), [[710.22, 803.83]]) <= 50.0", ...
ballsim
F_3_756
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": [ 100, 255, 200 ], "density": 1, "position": [ 798, 753 ], "radius": 25, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 32.64, -977.29 ] } ...
50
function
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