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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), [[797.17, 745.14]]) <= 50.0", "assert check_distance(predict_position(0.20), [[844.34, 740.28]]) <= 50.0", "assert check_distance(predict_position(0.30), [[891.62, 735.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[900.53, 751.23]]) <= 50.0", ...
ballsim
BC_1_26
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 185, 165, 53 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 471.75, -48.61 ] } ...
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), [[704.86, 773.85]]) <= 50.0", "assert check_distance(predict_position(0.20), [[659.72, 797.71]]) <= 50.0", "assert check_distance(predict_position(0.30), [[629.91, 823.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[677.23, 855.68]]) <= 50.0", "...
ballsim
BC_1_24
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 186, 145, 50 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -451.53, 238.48 ] } ...
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), [[694.73, 767.21]]) <= 50.0", "assert check_distance(predict_position(0.20), [[639.45, 784.42]]) <= 50.0", "assert check_distance(predict_position(0.30), [[657.7, 769.29]]) <= 50.0", "assert check_distance(predict_position(0.40), [[720.12, 734.74]]) <= 50.0", "...
ballsim
BC_1_20
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 201, 54, 88 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -552.74, 172.09 ] } ...
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), [[702.37, 735.16]]) <= 50.0", "assert check_distance(predict_position(0.20), [[654.74, 720.31]]) <= 50.0", "assert check_distance(predict_position(0.30), [[614.19, 710.51]]) <= 50.0", "assert check_distance(predict_position(0.40), [[648.15, 753.19]]) <= 50.0", ...
ballsim
BC_1_12
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 213, 155, 143 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -476.34, -148.44 ] ...
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), [[805.18, 741.7]]) <= 50.0", "assert check_distance(predict_position(0.20), [[860.35, 733.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[915.67, 725.08]]) <= 50.0", "assert check_distance(predict_position(0.40), [[885.61, 755.96]]) <= 50.0", "a...
ballsim
BC_1_5
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 168, 228, 153 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 551.71, -83.04 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[776.66, 803.22]]) <= 50.0", "assert check_distance(predict_position(0.20), [[803.32, 856.45]]) <= 50.0", "assert check_distance(predict_position(0.30), [[830.65, 901.89]]) <= 50.0", "assert check_distance(predict_position(0.40), [[864.88, 855.72]]) <= 50.0", ...
ballsim
BC_1_46
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 226, 181, 231 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 266.6, 532.34 ] } ...
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), [[725.07, 718.6]]) <= 50.0", "assert check_distance(predict_position(0.20), [[700.15, 687.21]]) <= 50.0", "assert check_distance(predict_position(0.30), [[675.16, 655.73]]) <= 50.0", "assert check_distance(predict_position(0.40), [[693.57, 654.11]]) <= 50.0", "...
ballsim
BC_1_27
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 110, 121, 206 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -249.34, -314.05 ] ...
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), [[739.55, 808.62]]) <= 50.0", "assert check_distance(predict_position(0.20), [[729.1, 867.24]]) <= 50.0", "assert check_distance(predict_position(0.30), [[725.58, 862.82]]) <= 50.0", "assert check_distance(predict_position(0.40), [[728.68, 798.29]]) <= 50.0", "...
ballsim
BC_1_10
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 171, 168, 239 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -104.41, 586.18 ] }...
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), [[805.18, 741.7]]) <= 50.0", "assert check_distance(predict_position(0.20), [[860.35, 733.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[915.67, 725.08]]) <= 50.0", "assert check_distance(predict_position(0.40), [[885.61, 755.96]]) <= 50.0", "a...
ballsim
BC_1_30
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 168, 228, 153 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 551.71, -83.04 ] } ...
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), [[794.04, 784.89]]) <= 50.0", "assert check_distance(predict_position(0.20), [[838.09, 819.78]]) <= 50.0", "assert check_distance(predict_position(0.30), [[853.92, 828.24]]) <= 50.0", "assert check_distance(predict_position(0.40), [[819.69, 789.86]]) <= 50.0", ...
ballsim
BC_1_17
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 205, 184, 54 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 440.54, 348.97 ] } ...
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), [[786.5, 768.58]]) <= 50.0", "assert check_distance(predict_position(0.20), [[823.0, 787.16]]) <= 50.0", "assert check_distance(predict_position(0.30), [[859.59, 805.78]]) <= 50.0", "assert check_distance(predict_position(0.40), [[896.09, 824.36]]) <= 50.0", "a...
ballsim
BC_1_32
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 197, 210, 79 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 364.99, 185.88 ] } ...
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), [[764.21, 704.25]]) <= 50.0", "assert check_distance(predict_position(0.20), [[778.42, 658.5]]) <= 50.0", "assert check_distance(predict_position(0.30), [[792.66, 612.63]]) <= 50.0", "assert check_distance(predict_position(0.40), [[819.44, 645.08]]) <= 50.0", "...
ballsim
BC_1_22
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 141, 169, 107 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 142.21, -457.52 ] }...
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), [[770.24, 708.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[790.48, 666.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[810.77, 625.16]]) <= 50.0", "assert check_distance(predict_position(0.40), [[823.9, 635.35]]) <= 50.0", "...
ballsim
BC_1_13
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 179, 70, 164 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 202.51, -415.77 ] } ...
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), [[715.55, 772.31]]) <= 50.0", "assert check_distance(predict_position(0.20), [[681.1, 794.63]]) <= 50.0", "assert check_distance(predict_position(0.30), [[646.57, 817.0]]) <= 50.0", "assert check_distance(predict_position(0.40), [[671.17, 813.25]]) <= 50.0", "a...
ballsim
BC_1_4
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 237, 88, 50 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -344.46, 223.22 ] } ...
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), [[702.37, 778.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[654.74, 806.05]]) <= 50.0", "assert check_distance(predict_position(0.30), [[655.78, 811.51]]) <= 50.0", "assert check_distance(predict_position(0.40), [[714.91, 790.0]]) <= 50.0", "...
ballsim
BC_1_40
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 123, 239, 177 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -476.23, 280.27 ] }...
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), [[708.18, 756.37]]) <= 50.0", "assert check_distance(predict_position(0.20), [[666.36, 762.74]]) <= 50.0", "assert check_distance(predict_position(0.30), [[624.43, 769.13]]) <= 50.0", "assert check_distance(predict_position(0.40), [[642.98, 745.95]]) <= 50.0", ...
ballsim
BC_1_39
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 171, 255, 226 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -418.33, 63.7 ] } ...
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), [[790.8, 738.7]]) <= 50.0", "assert check_distance(predict_position(0.20), [[831.59, 727.39]]) <= 50.0", "assert check_distance(predict_position(0.30), [[872.49, 716.06]]) <= 50.0", "assert check_distance(predict_position(0.40), [[913.29, 704.76]]) <= 50.0", "a...
ballsim
BC_1_11
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 239, 224, 86 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 407.84, -112.96 ] } ...
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), [[760.28, 803.71]]) <= 50.0", "assert check_distance(predict_position(0.20), [[770.56, 857.42]]) <= 50.0", "assert check_distance(predict_position(0.30), [[786.24, 899.23]]) <= 50.0", "assert check_distance(predict_position(0.40), [[832.79, 871.66]]) <= 50.0", ...
ballsim
BC_1_25
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 233, 196, 69 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 102.88, 537.22 ] } ...
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), [[790.8, 738.7]]) <= 50.0", "assert check_distance(predict_position(0.20), [[831.59, 727.39]]) <= 50.0", "assert check_distance(predict_position(0.30), [[872.49, 716.06]]) <= 50.0", "assert check_distance(predict_position(0.40), [[913.29, 704.76]]) <= 50.0", "a...
ballsim
BC_1_36
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 239, 224, 86 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 407.84, -112.96 ] } ...
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), [[797.17, 745.14]]) <= 50.0", "assert check_distance(predict_position(0.20), [[844.34, 740.28]]) <= 50.0", "assert check_distance(predict_position(0.30), [[891.62, 735.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[900.53, 751.23]]) <= 50.0", ...
ballsim
BC_1_1
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 185, 165, 53 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 471.75, -48.61 ] } ...
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), [[709.55, 753.2]]) <= 50.0", "assert check_distance(predict_position(0.20), [[669.09, 756.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[628.54, 759.6]]) <= 50.0", "assert check_distance(predict_position(0.40), [[615.6, 749.48]]) <= 50.0", "ass...
ballsim
BC_1_44
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 214, 230, 181 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -404.61, 31.91 ] } ...
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), [[709.55, 753.2]]) <= 50.0", "assert check_distance(predict_position(0.20), [[669.09, 756.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[628.54, 759.6]]) <= 50.0", "assert check_distance(predict_position(0.40), [[615.6, 749.48]]) <= 50.0", "ass...
ballsim
BC_1_19
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 214, 230, 181 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -404.61, 31.91 ] } ...
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), [[791.63, 737.89]]) <= 50.0", "assert check_distance(predict_position(0.20), [[833.25, 725.78]]) <= 50.0", "assert check_distance(predict_position(0.30), [[874.98, 713.64]]) <= 50.0", "assert check_distance(predict_position(0.40), [[902.9, 707.86]]) <= 50.0", "...
ballsim
BC_1_34
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 102, 169, 76 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 416.2, -121.02 ] } ...
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), [[704.86, 773.85]]) <= 50.0", "assert check_distance(predict_position(0.20), [[659.72, 797.71]]) <= 50.0", "assert check_distance(predict_position(0.30), [[629.91, 823.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[677.23, 855.68]]) <= 50.0", "...
ballsim
BC_1_49
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 186, 145, 50 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -451.53, 238.48 ] } ...
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), [[794.04, 784.89]]) <= 50.0", "assert check_distance(predict_position(0.20), [[838.09, 819.78]]) <= 50.0", "assert check_distance(predict_position(0.30), [[853.92, 828.24]]) <= 50.0", "assert check_distance(predict_position(0.40), [[819.69, 789.86]]) <= 50.0", ...
ballsim
BC_1_42
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 205, 184, 54 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 440.54, 348.97 ] } ...
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), [[801.05, 753.1]]) <= 50.0", "assert check_distance(predict_position(0.20), [[852.1, 756.2]]) <= 50.0", "assert check_distance(predict_position(0.30), [[903.28, 759.31]]) <= 50.0", "assert check_distance(predict_position(0.40), [[914.88, 778.25]]) <= 50.0", "as...
ballsim
BC_1_31
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 189, 250, 89 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 510.41, 30.97 ] } ...
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), [[715.55, 772.31]]) <= 50.0", "assert check_distance(predict_position(0.20), [[681.1, 794.63]]) <= 50.0", "assert check_distance(predict_position(0.30), [[646.57, 817.0]]) <= 50.0", "assert check_distance(predict_position(0.40), [[671.17, 813.25]]) <= 50.0", "a...
ballsim
BC_1_29
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": [ 237, 88, 50 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -344.46, 223.22 ] } ...
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), [[776.66, 803.22]]) <= 50.0", "assert check_distance(predict_position(0.20), [[803.32, 856.45]]) <= 50.0", "assert check_distance(predict_position(0.30), [[830.65, 901.89]]) <= 50.0", "assert check_distance(predict_position(0.40), [[864.88, 855.72]]) <= 50.0", ...
ballsim
BC_1_21
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": [ 226, 181, 231 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 266.6, 532.34 ] } ...
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), [[753.15, 797.56]]) <= 50.0", "assert check_distance(predict_position(0.20), [[756.3, 845.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[759.46, 892.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[796.15, 862.0]]) <= 50.0", "a...
ballsim
BC_1_23
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": [ 60, 159, 161 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 31.42, 475.6 ] } ]...
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), [[760.91, 695.43]]) <= 50.0", "assert check_distance(predict_position(0.20), [[771.83, 640.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[780.71, 619.15]]) <= 50.0", "assert check_distance(predict_position(0.40), [[784.76, 674.5]]) <= 50.0", "...
ballsim
BC_1_43
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": [ 70, 204, 125 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 109.01, -545.61 ] } ...
50
function
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