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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), [[792.75, 720.1]]) <= 50.0", "assert check_distance(predict_position(0.20), [[835.5, 680.21]]) <= 50.0", "assert check_distance(predict_position(0.30), [[823.05, 665.93]]) <= 50.0", "assert check_distance(predict_position(0.40), [[761.6, 673.38]]) <= 50.0", "as...
ballsim
BD_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": [ 194, 79, 62 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 427.51, -248.85 ] } ...
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), [[790.99, 725.51]]) <= 50.0", "assert check_distance(predict_position(0.20), [[831.98, 691.01]]) <= 50.0", "assert check_distance(predict_position(0.30), [[840.99, 665.03]]) <= 50.0", "assert check_distance(predict_position(0.40), [[780.64, 669.38]]) <= 50.0", ...
ballsim
BD_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": [ 250, 200, 210 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 410.02, -194.82 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[792.46, 759.63]]) <= 50.0", "assert check_distance(predict_position(0.20), [[834.91, 759.27]]) <= 50.0", "assert check_distance(predict_position(0.30), [[877.47, 748.87]]) <= 50.0", "assert check_distance(predict_position(0.40), [[877.67, 749.9]]) <= 50.0", "...
ballsim
BD_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": [ 235, 55, 56 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 424.51, 146.47 ] } ...
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), [[794.38, 709.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[838.77, 658.83]]) <= 50.0", "assert check_distance(predict_position(0.30), [[795.91, 654.09]]) <= 50.0", "assert check_distance(predict_position(0.40), [[725.38, 657.15]]) <= 50.0", ...
ballsim
BD_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": [ 81, 79, 255 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 443.9, -355.71 ] } ...
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), [[748.54, 802.1]]) <= 50.0", "assert check_distance(predict_position(0.20), [[747.07, 844.2]]) <= 50.0", "assert check_distance(predict_position(0.30), [[745.6, 876.37]]) <= 50.0", "assert check_distance(predict_position(0.40), [[744.14, 898.45]]) <= 50.0", "as...
ballsim
BD_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": [ 127, 163, 199 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -14.75, 571.14 ] } ...
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), [[726.56, 785.16]]) <= 50.0", "assert check_distance(predict_position(0.20), [[703.12, 810.31]]) <= 50.0", "assert check_distance(predict_position(0.30), [[679.63, 825.49]]) <= 50.0", "assert check_distance(predict_position(0.40), [[656.19, 830.63]]) <= 50.0", ...
ballsim
BD_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": [ 56, 108, 158 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -234.46, 401.69 ] } ...
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), [[803.27, 757.64]]) <= 50.0", "assert check_distance(predict_position(0.20), [[856.54, 755.29]]) <= 50.0", "assert check_distance(predict_position(0.30), [[901.78, 747.38]]) <= 50.0", "assert check_distance(predict_position(0.40), [[852.69, 781.27]]) <= 50.0", ...
ballsim
BD_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": [ 117, 53, 222 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 532.66, 126.57 ] } ...
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), [[768.75, 701.0]]) <= 50.0", "assert check_distance(predict_position(0.20), [[787.5, 642.0]]) <= 50.0", "assert check_distance(predict_position(0.30), [[815.38, 610.27]]) <= 50.0", "assert check_distance(predict_position(0.40), [[858.62, 667.09]]) <= 50.0", "as...
ballsim
BD_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": [ 165, 110, 240 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 187.44, -439.88 ] }...
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), [[748.54, 802.1]]) <= 50.0", "assert check_distance(predict_position(0.20), [[747.07, 844.2]]) <= 50.0", "assert check_distance(predict_position(0.30), [[745.6, 876.37]]) <= 50.0", "assert check_distance(predict_position(0.40), [[744.14, 898.45]]) <= 50.0", "as...
ballsim
BD_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": [ 127, 163, 199 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -14.75, 571.14 ] } ...
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), [[733.08, 707.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[716.16, 655.34]]) <= 50.0", "assert check_distance(predict_position(0.30), [[709.56, 644.01]]) <= 50.0", "assert check_distance(predict_position(0.40), [[718.11, 697.4]]) <= 50.0", "...
ballsim
BD_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": [ 58, 85, 211 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -169.27, -373.17 ] } ...
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), [[700.17, 751.59]]) <= 50.0", "assert check_distance(predict_position(0.20), [[650.34, 743.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[632.33, 726.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[684.72, 704.97]]) <= 50.0", ...
ballsim
BD_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": [ 89, 140, 242 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -498.36, 66.07 ] } ...
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), [[768.63, 688.19]]) <= 50.0", "assert check_distance(predict_position(0.20), [[787.26, 616.38]]) <= 50.0", "assert check_distance(predict_position(0.30), [[798.76, 665.1]]) <= 50.0", "assert check_distance(predict_position(0.40), [[808.52, 734.74]]) <= 50.0", "...
ballsim
BD_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": [ 115, 64, 166 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 186.34, -567.96 ] } ...
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), [[771.36, 784.8]]) <= 50.0", "assert check_distance(predict_position(0.20), [[792.72, 809.6]]) <= 50.0", "assert check_distance(predict_position(0.30), [[814.14, 824.42]]) <= 50.0", "assert check_distance(predict_position(0.40), [[835.5, 829.2]]) <= 50.0", "ass...
ballsim
BD_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": [ 103, 79, 247 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 213.69, 398.12 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[719.48, 784.65]]) <= 50.0", "assert check_distance(predict_position(0.20), [[688.96, 809.29]]) <= 50.0", "assert check_distance(predict_position(0.30), [[658.37, 823.97]]) <= 50.0", "assert check_distance(predict_position(0.40), [[627.85, 828.59]]) <= 50.0", ...
ballsim
BD_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": [ 132, 72, 88 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -305.07, 396.6 ] } ...
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), [[700.61, 753.21]]) <= 50.0", "assert check_distance(predict_position(0.20), [[651.22, 746.43]]) <= 50.0", "assert check_distance(predict_position(0.30), [[621.64, 731.56]]) <= 50.0", "assert check_distance(predict_position(0.40), [[675.4, 714.92]]) <= 50.0", "...
ballsim
BD_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": [ 192, 254, 172 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -493.98, 82.27 ] } ...
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), [[799.12, 717.18]]) <= 50.0", "assert check_distance(predict_position(0.20), [[848.24, 674.36]]) <= 50.0", "assert check_distance(predict_position(0.30), [[829.46, 655.95]]) <= 50.0", "assert check_distance(predict_position(0.40), [[759.03, 653.85]]) <= 50.0", ...
ballsim
BD_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": [ 67, 200, 174 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 491.28, -278.1 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[780.05, 709.01]]) <= 50.0", "assert check_distance(predict_position(0.20), [[810.11, 658.02]]) <= 50.0", "assert check_distance(predict_position(0.30), [[838.14, 619.16]]) <= 50.0", "assert check_distance(predict_position(0.40), [[855.1, 687.09]]) <= 50.0", "...
ballsim
BD_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": [ 160, 158, 222 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 300.45, -359.75 ] }...
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), [[741.92, 695.79]]) <= 50.0", "assert check_distance(predict_position(0.20), [[733.84, 631.57]]) <= 50.0", "assert check_distance(predict_position(0.30), [[721.31, 639.81]]) <= 50.0", "assert check_distance(predict_position(0.40), [[705.47, 700.58]]) <= 50.0", ...
ballsim
BD_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": [ 251, 79, 213 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -80.7, -492.01 ] } ...
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), [[780.05, 709.01]]) <= 50.0", "assert check_distance(predict_position(0.20), [[810.11, 658.02]]) <= 50.0", "assert check_distance(predict_position(0.30), [[838.14, 619.16]]) <= 50.0", "assert check_distance(predict_position(0.40), [[855.1, 687.09]]) <= 50.0", "...
ballsim
BD_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": [ 160, 158, 222 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 300.45, -359.75 ] }...
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), [[792.75, 720.1]]) <= 50.0", "assert check_distance(predict_position(0.20), [[835.5, 680.21]]) <= 50.0", "assert check_distance(predict_position(0.30), [[823.05, 665.93]]) <= 50.0", "assert check_distance(predict_position(0.40), [[761.6, 673.38]]) <= 50.0", "as...
ballsim
BD_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": [ 194, 79, 62 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 427.51, -248.85 ] } ...
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), [[796.78, 721.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[843.55, 683.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[824.26, 675.05]]) <= 50.0", "assert check_distance(predict_position(0.40), [[760.37, 682.84]]) <= 50.0", ...
ballsim
BD_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": [ 57, 170, 167 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 467.77, -230.6 ] } ...
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), [[796.78, 721.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[843.55, 683.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[824.26, 675.05]]) <= 50.0", "assert check_distance(predict_position(0.40), [[760.37, 682.84]]) <= 50.0", ...
ballsim
BD_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": [ 57, 170, 167 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 467.77, -230.6 ] } ...
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), [[794.07, 706.58]]) <= 50.0", "assert check_distance(predict_position(0.20), [[838.13, 653.15]]) <= 50.0", "assert check_distance(predict_position(0.30), [[817.66, 619.44]]) <= 50.0", "assert check_distance(predict_position(0.40), [[744.68, 600.43]]) <= 50.0", ...
ballsim
BD_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": [ 202, 127, 57 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 440.65, -384.12 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[790.99, 725.51]]) <= 50.0", "assert check_distance(predict_position(0.20), [[831.98, 691.01]]) <= 50.0", "assert check_distance(predict_position(0.30), [[840.99, 665.03]]) <= 50.0", "assert check_distance(predict_position(0.40), [[780.64, 669.38]]) <= 50.0", ...
ballsim
BD_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": [ 250, 200, 210 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 410.02, -194.82 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[733.08, 707.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[716.16, 655.34]]) <= 50.0", "assert check_distance(predict_position(0.30), [[709.56, 644.01]]) <= 50.0", "assert check_distance(predict_position(0.40), [[718.11, 697.4]]) <= 50.0", "...
ballsim
BD_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": [ 58, 85, 211 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -169.27, -373.17 ] } ...
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), [[772.41, 698.5]]) <= 50.0", "assert check_distance(predict_position(0.20), [[794.82, 636.99]]) <= 50.0", "assert check_distance(predict_position(0.30), [[830.27, 618.58]]) <= 50.0", "assert check_distance(predict_position(0.40), [[859.68, 683.1]]) <= 50.0", "a...
ballsim
BD_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": [ 222, 125, 218 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 224.16, -464.91 ] }...
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), [[719.48, 784.65]]) <= 50.0", "assert check_distance(predict_position(0.20), [[688.96, 809.29]]) <= 50.0", "assert check_distance(predict_position(0.30), [[658.37, 823.97]]) <= 50.0", "assert check_distance(predict_position(0.40), [[627.85, 828.59]]) <= 50.0", ...
ballsim
BD_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": [ 132, 72, 88 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -305.07, 396.6 ] } ...
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), [[726.56, 785.16]]) <= 50.0", "assert check_distance(predict_position(0.20), [[703.12, 810.31]]) <= 50.0", "assert check_distance(predict_position(0.30), [[679.63, 825.49]]) <= 50.0", "assert check_distance(predict_position(0.40), [[656.19, 830.63]]) <= 50.0", ...
ballsim
BD_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": [ 56, 108, 158 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -234.46, 401.69 ] } ...
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), [[780.96, 771.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[811.91, 782.84]]) <= 50.0", "assert check_distance(predict_position(0.30), [[842.95, 784.25]]) <= 50.0", "assert check_distance(predict_position(0.40), [[873.91, 775.64]]) <= 50.0", ...
ballsim
BD_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": [ 86, 120, 179 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 309.63, 264.32 ] } ...
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), [[703.91, 720.83]]) <= 50.0", "assert check_distance(predict_position(0.20), [[657.81, 681.66]]) <= 50.0", "assert check_distance(predict_position(0.30), [[636.09, 642.56]]) <= 50.0", "assert check_distance(predict_position(0.40), [[706.72, 644.62]]) <= 50.0", ...
ballsim
BD_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": [ 117, 58, 131 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -461, -241.55 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[768.63, 688.19]]) <= 50.0", "assert check_distance(predict_position(0.20), [[787.26, 616.38]]) <= 50.0", "assert check_distance(predict_position(0.30), [[798.76, 665.1]]) <= 50.0", "assert check_distance(predict_position(0.40), [[808.52, 734.74]]) <= 50.0", "...
ballsim
BD_1_47
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 115, 64, 166 ], "density": 1, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 186.34, -567.96 ] } ...
50
function
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