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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), [[672.3, 658.38]]) <= 50.0", "assert check_distance(predict_position(0.20), [[693.55, 613.3]]) <= 50.0", "assert check_distance(predict_position(0.30), [[766.59, 616.25]]) <= 50.0", "assert check_distance(predict_position(0.40), [[839.44, 631.53]]) <= 50.0", "a...
ballsim
F_2_47
2
[ 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": [ 704, 725 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -408.47, -622.18 ] ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[792.32, 731.78]]) <= 50.0", "assert check_distance(predict_position(0.20), [[863.9, 752.46]]) <= 50.0", "assert check_distance(predict_position(0.30), [[883.97, 748.3]]) <= 50.0", "assert check_distance(predict_position(0.40), [[823.18, 705.23]]) <= 50.0", "a...
ballsim
F_2_1018
2
[ 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": [ 723, 721 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 555.22, -496.77 ] }...
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), [[738.66, 803.71]]) <= 50.0", "assert check_distance(predict_position(0.20), [[690.32, 857.42]]) <= 50.0", "assert check_distance(predict_position(0.30), [[703.06, 875.93]]) <= 50.0", "assert check_distance(predict_position(0.40), [[773.74, 860.91]]) <= 50.0", ...
ballsim
F_2_288
2
[ 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": [ 787, 750 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -483.4, 537.05 ] } ...
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), [[677.55, 693.14]]) <= 50.0", "assert check_distance(predict_position(0.20), [[630.35, 696.0]]) <= 50.0", "assert check_distance(predict_position(0.30), [[672.81, 750.7]]) <= 50.0", "assert check_distance(predict_position(0.40), [[715.17, 761.01]]) <= 50.0", "a...
ballsim
F_2_617
2
[ 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": [ 748, 700 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -243.87, -646.16 ] ...
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), [[747.86, 736.77]]) <= 50.0", "assert check_distance(predict_position(0.20), [[791.14, 693.07]]) <= 50.0", "assert check_distance(predict_position(0.30), [[729.21, 710.06]]) <= 50.0", "assert check_distance(predict_position(0.40), [[667.45, 727.0]]) <= 50.0", "...
ballsim
F_2_975
2
[ 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": [ 705, 770 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 215.16, 603.17 ] } ...
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), [[783.45, 755.85]]) <= 50.0", "assert check_distance(predict_position(0.20), [[847.91, 773.69]]) <= 50.0", "assert check_distance(predict_position(0.30), [[884.02, 777.86]]) <= 50.0", "assert check_distance(predict_position(0.40), [[829.89, 738.6]]) <= 50.0", "...
ballsim
F_2_583
2
[ 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": [ 719, 738 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 644.55, 178.44 ] } ...
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), [[803.78, 773.57]]) <= 50.0", "assert check_distance(predict_position(0.20), [[765.14, 720.88]]) <= 50.0", "assert check_distance(predict_position(0.30), [[726.39, 668.07]]) <= 50.0", "assert check_distance(predict_position(0.40), [[687.74, 615.38]]) <= 50.0", ...
ballsim
F_2_803
2
[ 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": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 427.65, 494.14 ] } ...
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), [[688.9, 805.51]]) <= 50.0", "assert check_distance(predict_position(0.20), [[647.6, 843.62]]) <= 50.0", "assert check_distance(predict_position(0.30), [[712.13, 816.82]]) <= 50.0", "assert check_distance(predict_position(0.40), [[750.41, 757.37]]) <= 50.0", "a...
ballsim
F_2_537
2
[ 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": [ 743, 760 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -541.11, 455.16 ] }...
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), [[835.32, 810.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[847.4, 841.44]]) <= 50.0", "assert check_distance(predict_position(0.30), [[793.77, 812.29]]) <= 50.0", "assert check_distance(predict_position(0.40), [[769.65, 746.38]]) <= 50.0", "...
ballsim
F_2_700
2
[ 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": [ 785, 762 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 503.26, 489.36 ] } ...
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), [[789.28, 789.5]]) <= 50.0", "assert check_distance(predict_position(0.20), [[836.23, 725.37]]) <= 50.0", "assert check_distance(predict_position(0.30), [[850.45, 680.03]]) <= 50.0", "assert check_distance(predict_position(0.40), [[771.42, 688.63]]) <= 50.0", "...
ballsim
F_2_957
2
[ 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": [ 766, 750 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 144.63, 781.57 ] } ...
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), [[715.33, 728.86]]) <= 50.0", "assert check_distance(predict_position(0.20), [[752.61, 726.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[799.78, 766.4]]) <= 50.0", "assert check_distance(predict_position(0.40), [[846.82, 806.51]]) <= 50.0", "...
ballsim
F_2_940
2
[ 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": [ 690, 787 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 249.73, -565.56 ] }...
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), [[793.84, 712.97]]) <= 50.0", "assert check_distance(predict_position(0.20), [[850.67, 734.67]]) <= 50.0", "assert check_distance(predict_position(0.30), [[907.65, 756.43]]) <= 50.0", "assert check_distance(predict_position(0.40), [[862.5, 719.25]]) <= 50.0", "...
ballsim
F_2_800
2
[ 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": [ 737, 693 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 568.46, -217.13 ] }...
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), [[850.59, 718.21]]) <= 50.0", "assert check_distance(predict_position(0.20), [[891.57, 743.43]]) <= 50.0", "assert check_distance(predict_position(0.30), [[871.46, 818.31]]) <= 50.0", "assert check_distance(predict_position(0.40), [[810.69, 869.5]]) <= 50.0", "...
ballsim
F_2_792
2
[ 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": [ 795, 775 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 555.84, -567.8 ] } ...
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), [[760.5, 678.81]]) <= 50.0", "assert check_distance(predict_position(0.20), [[821.0, 630.61]]) <= 50.0", "assert check_distance(predict_position(0.30), [[861.27, 671.57]]) <= 50.0", "assert check_distance(predict_position(0.40), [[894.86, 741.24]]) <= 50.0", "a...
ballsim
F_2_325
2
[ 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, 727 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 604.96, -481.99 ] }...
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), [[728.03, 668.58]]) <= 50.0", "assert check_distance(predict_position(0.20), [[735.06, 623.07]]) <= 50.0", "assert check_distance(predict_position(0.30), [[742.11, 700.68]]) <= 50.0", "assert check_distance(predict_position(0.40), [[749.14, 778.09]]) <= 50.0", ...
ballsim
F_2_580
2
[ 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, 746 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 70.39, -774.13 ] } ...
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), [[752.24, 742.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[774.48, 672.59]]) <= 50.0", "assert check_distance(predict_position(0.30), [[796.78, 612.15]]) <= 50.0", "assert check_distance(predict_position(0.40), [[819.02, 682.49]]) <= 50.0", ...
ballsim
F_2_967
2
[ 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": [ 730, 787 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 222.43, 703.32 ] } ...
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), [[794.05, 738.79]]) <= 50.0", "assert check_distance(predict_position(0.20), [[824.11, 672.58]]) <= 50.0", "assert check_distance(predict_position(0.30), [[846.94, 638.15]]) <= 50.0", "assert check_distance(predict_position(0.40), [[845.28, 710.83]]) <= 50.0", ...
ballsim
F_2_576
2
[ 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": [ 764, 805 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 300.52, -662.08 ] }...
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), [[752.17, 743.92]]) <= 50.0", "assert check_distance(predict_position(0.20), [[724.34, 684.84]]) <= 50.0", "assert check_distance(predict_position(0.30), [[715.52, 697.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[697.49, 758.17]]) <= 50.0", ...
ballsim
F_2_988
2
[ 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": [ 780, 803 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -278.32, -590.75 ] ...
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), [[813.21, 715.62]]) <= 50.0", "assert check_distance(predict_position(0.20), [[830.42, 656.25]]) <= 50.0", "assert check_distance(predict_position(0.30), [[837.66, 640.63]]) <= 50.0", "assert check_distance(predict_position(0.40), [[827.4, 701.59]]) <= 50.0", "...
ballsim
F_2_841
2
[ 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": [ 796, 775 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 172.09, -593.64 ] }...
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), [[841.96, 827.09]]) <= 50.0", "assert check_distance(predict_position(0.20), [[837.08, 805.44]]) <= 50.0", "assert check_distance(predict_position(0.30), [[789.31, 758.99]]) <= 50.0", "assert check_distance(predict_position(0.40), [[741.65, 712.65]]) <= 50.0", ...
ballsim
F_2_370
2
[ 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": [ 778, 809 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 639.59, 180.91 ] } ...
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), [[810.24, 718.69]]) <= 50.0", "assert check_distance(predict_position(0.20), [[844.17, 648.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[859.44, 675.44]]) <= 50.0", "assert check_distance(predict_position(0.40), [[902.99, 739.77]]) <= 50.0", ...
ballsim
F_2_28
2
[ 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, 807 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 756.77, -175.37 ] }...
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), [[684.59, 783.25]]) <= 50.0", "assert check_distance(predict_position(0.20), [[614.92, 793.08]]) <= 50.0", "assert check_distance(predict_position(0.30), [[659.1, 737.1]]) <= 50.0", "assert check_distance(predict_position(0.40), [[703.17, 681.27]]) <= 50.0", "a...
ballsim
F_2_727
2
[ 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, 773 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -704.02, 102.51 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[819.21, 722.11]]) <= 50.0", "assert check_distance(predict_position(0.20), [[824.64, 650.7]]) <= 50.0", "assert check_distance(predict_position(0.30), [[823.98, 645.18]]) <= 50.0", "assert check_distance(predict_position(0.40), [[823.32, 720.1]]) <= 50.0", "a...
ballsim
F_2_38
2
[ 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, 759 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ 652.11, -368.89 ] }...
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), [[702.33, 666.11]]) <= 50.0", "assert check_distance(predict_position(0.20), [[701.7, 626.81]]) <= 50.0", "assert check_distance(predict_position(0.30), [[764.9, 666.36]]) <= 50.0", "assert check_distance(predict_position(0.40), [[827.93, 705.81]]) <= 50.0", "a...
ballsim
F_2_984
2
[ 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": [ 742, 729 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -396.65, -628.94 ] ...
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), [[671.46, 728.8]]) <= 50.0", "assert check_distance(predict_position(0.20), [[613.91, 753.61]]) <= 50.0", "assert check_distance(predict_position(0.30), [[646.48, 778.48]]) <= 50.0", "assert check_distance(predict_position(0.40), [[704.02, 803.28]]) <= 50.0", "...
ballsim
F_2_955
2
[ 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": [ 729, 704 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -575.44, 248.03 ] }...
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), [[764.31, 884.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[809.69, 843.3]]) <= 50.0", "assert check_distance(predict_position(0.30), [[853.26, 777.56]]) <= 50.0", "assert check_distance(predict_position(0.40), [[896.66, 712.01]]) <= 50.0", "...
ballsim
F_2_509
2
[ 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": [ 775, 807 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -107.03, 779.3 ] } ...
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), [[690.51, 832.13]]) <= 50.0", "assert check_distance(predict_position(0.20), [[675.03, 874.45]]) <= 50.0", "assert check_distance(predict_position(0.30), [[702.12, 822.12]]) <= 50.0", "assert check_distance(predict_position(0.40), [[768.58, 788.92]]) <= 50.0", ...
ballsim
F_2_732
2
[ 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": [ 705, 759 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 7, "velocity": [ -471.49, 573.97 ] }...
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), [[724.96, 720.37]]) <= 50.0", "assert check_distance(predict_position(0.20), [[795.07, 733.24]]) <= 50.0", "assert check_distance(predict_position(0.30), [[865.37, 746.14]]) <= 50.0", "assert check_distance(predict_position(0.40), [[895.17, 739.59]]) <= 50.0", ...
ballsim
F_2_405
2
[ 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": [ 741, 749 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -537.75, -467.97 ] ...
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), [[778.07, 743.58]]) <= 50.0", "assert check_distance(predict_position(0.20), [[740.28, 796.68]]) <= 50.0", "assert check_distance(predict_position(0.30), [[700.44, 847.48]]) <= 50.0", "assert check_distance(predict_position(0.40), [[663.47, 859.1]]) <= 50.0", "...
ballsim
F_2_756
2
[ 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": [ 766, 753 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 433.57, -486.49 ] }...
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), [[763.39, 803.28]]) <= 50.0", "assert check_distance(predict_position(0.20), [[814.78, 861.55]]) <= 50.0", "assert check_distance(predict_position(0.30), [[846.47, 833.05]]) <= 50.0", "assert check_distance(predict_position(0.40), [[867.49, 758.24]]) <= 50.0", ...
ballsim
F_2_718
2
[ 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, 745 ], "radius": 30, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 513.98, 582.77 ] } ...
50
function
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