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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), [[743.48, 708.69]]) <= 50.0", "assert check_distance(predict_position(0.20), [[736.96, 667.38]]) <= 50.0", "assert check_distance(predict_position(0.30), [[730.43, 625.97]]) <= 50.0", "assert check_distance(predict_position(0.40), [[720.31, 606.54]]) <= 50.0", ...
ballsim
BF_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": [ 193, 78, 102 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -65.13, -413.02 ] } ...
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), [[713.38, 774.05]]) <= 50.0", "assert check_distance(predict_position(0.20), [[676.76, 798.1]]) <= 50.0", "assert check_distance(predict_position(0.30), [[640.05, 822.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[610.58, 830.23]]) <= 50.0", "a...
ballsim
BF_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": [ 233, 192, 185 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -366.21, 240.42 ] }...
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), [[707.54, 753.69]]) <= 50.0", "assert check_distance(predict_position(0.20), [[665.09, 757.37]]) <= 50.0", "assert check_distance(predict_position(0.30), [[622.53, 761.07]]) <= 50.0", "assert check_distance(predict_position(0.40), [[645.8, 769.62]]) <= 50.0", "...
ballsim
BF_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": [ 136, 186, 125 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -424.52, 36.84 ] } ...
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), [[717.02, 784.08]]) <= 50.0", "assert check_distance(predict_position(0.20), [[684.03, 818.16]]) <= 50.0", "assert check_distance(predict_position(0.30), [[650.97, 852.33]]) <= 50.0", "assert check_distance(predict_position(0.40), [[657.03, 871.99]]) <= 50.0", ...
ballsim
BF_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": [ 216, 163, 110 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -329.81, 340.85 ] }...
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), [[772.97, 701.51]]) <= 50.0", "assert check_distance(predict_position(0.20), [[795.95, 653.03]]) <= 50.0", "assert check_distance(predict_position(0.30), [[817.24, 617.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[825.73, 674.99]]) <= 50.0", "...
ballsim
BF_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": [ 52, 238, 136 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 229.78, -484.83 ] } ...
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), [[774.96, 738.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[722.05, 724.41]]) <= 50.0", "assert check_distance(predict_position(0.30), [[669.02, 710.75]]) <= 50.0", "assert check_distance(predict_position(0.40), [[616.11, 697.13]]) <= 50.0", ...
ballsim
BF_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": [ 209, 70, 95 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 492.35, -114.46 ] } ...
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), [[694.92, 767.94]]) <= 50.0", "assert check_distance(predict_position(0.20), [[641.56, 787.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[628.1, 842.03]]) <= 50.0", "assert check_distance(predict_position(0.40), [[670.32, 874.19]]) <= 50.0", "a...
ballsim
BF_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": [ 83, 230, 233 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -550.68, 179.43 ] } ...
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), [[760.03, 789.09]]) <= 50.0", "assert check_distance(predict_position(0.20), [[770.07, 828.17]]) <= 50.0", "assert check_distance(predict_position(0.30), [[780.13, 867.36]]) <= 50.0", "assert check_distance(predict_position(0.40), [[753.73, 901.43]]) <= 50.0", ...
ballsim
BF_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": [ 59, 147, 70 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 100.39, 390.92 ] } ...
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), [[772.97, 701.51]]) <= 50.0", "assert check_distance(predict_position(0.20), [[795.95, 653.03]]) <= 50.0", "assert check_distance(predict_position(0.30), [[817.24, 617.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[825.73, 674.99]]) <= 50.0", "...
ballsim
BF_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": [ 52, 238, 136 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 229.78, -484.83 ] } ...
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), [[714.28, 785.08]]) <= 50.0", "assert check_distance(predict_position(0.20), [[678.56, 820.17]]) <= 50.0", "assert check_distance(predict_position(0.30), [[645.96, 847.85]]) <= 50.0", "assert check_distance(predict_position(0.40), [[648.16, 794.41]]) <= 50.0", ...
ballsim
BF_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": [ 143, 115, 216 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -357.15, 350.76 ] }...
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), [[714.72, 722.92]]) <= 50.0", "assert check_distance(predict_position(0.20), [[679.44, 695.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[644.08, 668.71]]) <= 50.0", "assert check_distance(predict_position(0.40), [[650.1, 648.69]]) <= 50.0", "...
ballsim
BF_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": [ 112, 91, 219 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -352.76, -270.69 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[806.37, 739.75]]) <= 50.0", "assert check_distance(predict_position(0.20), [[862.74, 729.49]]) <= 50.0", "assert check_distance(predict_position(0.30), [[889.25, 733.32]]) <= 50.0", "assert check_distance(predict_position(0.40), [[846.03, 738.88]]) <= 50.0", ...
ballsim
BF_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": [ 127, 229, 99 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 563.65, -102.6 ] } ...
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), [[763.62, 796.07]]) <= 50.0", "assert check_distance(predict_position(0.20), [[777.25, 842.14]]) <= 50.0", "assert check_distance(predict_position(0.30), [[790.9, 888.32]]) <= 50.0", "assert check_distance(predict_position(0.40), [[758.09, 888.47]]) <= 50.0", "...
ballsim
BF_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": [ 62, 246, 125 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 136.17, 460.73 ] } ...
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), [[728.38, 747.8]]) <= 50.0", "assert check_distance(predict_position(0.20), [[694.42, 705.54]]) <= 50.0", "assert check_distance(predict_position(0.30), [[660.37, 663.18]]) <= 50.0", "assert check_distance(predict_position(0.40), [[670.02, 653.55]]) <= 50.0", "...
ballsim
BF_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": [ 86, 163, 129 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -66.58, 463.88 ] } ...
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), [[707.98, 761.99]]) <= 50.0", "assert check_distance(predict_position(0.20), [[720.69, 746.89]]) <= 50.0", "assert check_distance(predict_position(0.30), [[757.32, 719.92]]) <= 50.0", "assert check_distance(predict_position(0.40), [[793.87, 693.01]]) <= 50.0", ...
ballsim
BF_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": [ 95, 232, 248 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -420.19, 119.93 ] } ...
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), [[794.87, 730.25]]) <= 50.0", "assert check_distance(predict_position(0.20), [[839.75, 735.18]]) <= 50.0", "assert check_distance(predict_position(0.30), [[884.73, 759.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[912.95, 770.05]]) <= 50.0", ...
ballsim
BF_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": [ 62, 237, 109 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 448.75, -197.5 ] } ...
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), [[738.11, 792.33]]) <= 50.0", "assert check_distance(predict_position(0.20), [[726.22, 834.67]]) <= 50.0", "assert check_distance(predict_position(0.30), [[714.3, 877.11]]) <= 50.0", "assert check_distance(predict_position(0.40), [[710.05, 867.85]]) <= 50.0", "...
ballsim
BF_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": [ 185, 233, 213 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -118.97, 423.41 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[726.1, 799.83]]) <= 50.0", "assert check_distance(predict_position(0.20), [[702.2, 849.66]]) <= 50.0", "assert check_distance(predict_position(0.30), [[679.24, 888.1]]) <= 50.0", "assert check_distance(predict_position(0.40), [[664.52, 832.34]]) <= 50.0", "as...
ballsim
BF_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": [ 177, 204, 177 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -239.1, 498.25 ] } ...
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), [[738.11, 792.33]]) <= 50.0", "assert check_distance(predict_position(0.20), [[726.22, 834.67]]) <= 50.0", "assert check_distance(predict_position(0.30), [[714.3, 877.11]]) <= 50.0", "assert check_distance(predict_position(0.40), [[710.05, 867.85]]) <= 50.0", "...
ballsim
BF_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": [ 185, 233, 213 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -118.97, 423.41 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[743.48, 708.69]]) <= 50.0", "assert check_distance(predict_position(0.20), [[736.96, 667.38]]) <= 50.0", "assert check_distance(predict_position(0.30), [[730.43, 625.97]]) <= 50.0", "assert check_distance(predict_position(0.40), [[720.31, 606.54]]) <= 50.0", ...
ballsim
BF_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": [ 193, 78, 102 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -65.13, -413.02 ] } ...
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), [[789.58, 712.35]]) <= 50.0", "assert check_distance(predict_position(0.20), [[829.15, 674.71]]) <= 50.0", "assert check_distance(predict_position(0.30), [[858.97, 641.64]]) <= 50.0", "assert check_distance(predict_position(0.40), [[806.5, 647.59]]) <= 50.0", "...
ballsim
BF_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": [ 216, 186, 68 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 395.86, -376.57 ] } ...
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), [[789.58, 712.35]]) <= 50.0", "assert check_distance(predict_position(0.20), [[829.15, 674.71]]) <= 50.0", "assert check_distance(predict_position(0.30), [[858.97, 641.64]]) <= 50.0", "assert check_distance(predict_position(0.40), [[806.5, 647.59]]) <= 50.0", "...
ballsim
BF_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": [ 216, 186, 68 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 395.86, -376.57 ] } ...
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), [[748.27, 698.49]]) <= 50.0", "assert check_distance(predict_position(0.20), [[772.86, 664.67]]) <= 50.0", "assert check_distance(predict_position(0.30), [[818.8, 645.06]]) <= 50.0", "assert check_distance(predict_position(0.40), [[831.36, 641.93]]) <= 50.0", "...
ballsim
BF_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": [ 224, 144, 75 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -17.39, -515.16 ] } ...
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), [[713.38, 774.05]]) <= 50.0", "assert check_distance(predict_position(0.20), [[676.76, 798.1]]) <= 50.0", "assert check_distance(predict_position(0.30), [[640.05, 822.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[610.58, 830.23]]) <= 50.0", "a...
ballsim
BF_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": [ 233, 192, 185 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -366.21, 240.42 ] }...
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), [[714.28, 785.08]]) <= 50.0", "assert check_distance(predict_position(0.20), [[678.56, 820.17]]) <= 50.0", "assert check_distance(predict_position(0.30), [[645.96, 847.85]]) <= 50.0", "assert check_distance(predict_position(0.40), [[648.16, 794.41]]) <= 50.0", ...
ballsim
BF_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": [ 143, 115, 216 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -357.15, 350.76 ] }...
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), [[787.26, 770.04]]) <= 50.0", "assert check_distance(predict_position(0.20), [[790.01, 808.55]]) <= 50.0", "assert check_distance(predict_position(0.30), [[788.78, 849.27]]) <= 50.0", "assert check_distance(predict_position(0.40), [[787.56, 889.9]]) <= 50.0", "...
ballsim
BF_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": [ 89, 197, 81 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 372.52, 200.34 ] } ...
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), [[728.38, 747.8]]) <= 50.0", "assert check_distance(predict_position(0.20), [[694.42, 705.54]]) <= 50.0", "assert check_distance(predict_position(0.30), [[660.37, 663.18]]) <= 50.0", "assert check_distance(predict_position(0.40), [[670.02, 653.55]]) <= 50.0", "...
ballsim
BF_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": [ 86, 163, 129 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -66.58, 463.88 ] } ...
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), [[774.96, 738.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[722.05, 724.41]]) <= 50.0", "assert check_distance(predict_position(0.30), [[669.02, 710.75]]) <= 50.0", "assert check_distance(predict_position(0.40), [[616.11, 697.13]]) <= 50.0", ...
ballsim
BF_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": [ 209, 70, 95 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 492.35, -114.46 ] } ...
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), [[761.82, 706.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[770.67, 717.66]]) <= 50.0", "assert check_distance(predict_position(0.30), [[777.57, 766.42]]) <= 50.0", "assert check_distance(predict_position(0.40), [[784.46, 815.05]]) <= 50.0", ...
ballsim
BF_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": [ 206, 227, 128 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 118.06, -439.77 ] }...
50
function
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