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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), [[727.2, 784.06]]) <= 50.0", "assert check_distance(predict_position(0.20), [[704.39, 808.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[681.53, 822.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[658.73, 826.24]]) <= 50.0", "a...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.27, "color": [ 102, 158, 187 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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, 789.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[680.66, 819.86]]) <= 50.0", "assert check_distance(predict_position(0.30), [[676.76, 808.97]]) <= 50.0", "assert check_distance(predict_position(0.40), [[692.24, 768.73]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.2, "color": [ 128, 66, 199 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rot...
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), [[779.32, 776.1]]) <= 50.0", "assert check_distance(predict_position(0.20), [[808.64, 792.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[838.04, 798.3]]) <= 50.0", "assert check_distance(predict_position(0.40), [[867.36, 794.37]]) <= 50.0", "a...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.23, "color": [ 165, 146, 110 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[745.43, 703.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[726.11, 671.62]]) <= 50.0", "assert check_distance(predict_position(0.30), [[681.2, 687.88]]) <= 50.0", "assert check_distance(predict_position(0.40), [[720.09, 694.1]]) <= 50.0", "a...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.42, "color": [ 111, 134, 116 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[756.91, 789.61]]) <= 50.0", "assert check_distance(predict_position(0.20), [[763.82, 819.22]]) <= 50.0", "assert check_distance(predict_position(0.30), [[770.74, 838.87]]) <= 50.0", "assert check_distance(predict_position(0.40), [[777.65, 848.45]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.45, "color": [ 122, 171, 200 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[716.77, 710.09]]) <= 50.0", "assert check_distance(predict_position(0.20), [[683.54, 660.18]]) <= 50.0", "assert check_distance(predict_position(0.30), [[668.49, 656.29]]) <= 50.0", "assert check_distance(predict_position(0.40), [[675.57, 710.43]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.29, "color": [ 195, 141, 112 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[699.22, 776.85]]) <= 50.0", "assert check_distance(predict_position(0.20), [[648.44, 793.69]]) <= 50.0", "assert check_distance(predict_position(0.30), [[638.11, 759.96]]) <= 50.0", "assert check_distance(predict_position(0.40), [[642.33, 701.78]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.27, "color": [ 96, 226, 70 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rot...
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), [[718.58, 704.99]]) <= 50.0", "assert check_distance(predict_position(0.20), [[687.16, 649.99]]) <= 50.0", "assert check_distance(predict_position(0.30), [[681.62, 664.7]]) <= 50.0", "assert check_distance(predict_position(0.40), [[692.95, 721.21]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.21, "color": [ 240, 92, 144 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[712.96, 727.5]]) <= 50.0", "assert check_distance(predict_position(0.20), [[675.93, 695.01]]) <= 50.0", "assert check_distance(predict_position(0.30), [[638.8, 652.39]]) <= 50.0", "assert check_distance(predict_position(0.40), [[671.18, 639.96]]) <= 50.0", "a...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.5, "color": [ 115, 125, 219 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[795.8, 752.26]]) <= 50.0", "assert check_distance(predict_position(0.20), [[841.6, 744.52]]) <= 50.0", "assert check_distance(predict_position(0.30), [[887.52, 726.72]]) <= 50.0", "assert check_distance(predict_position(0.40), [[882.04, 728.55]]) <= 50.0", "a...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.21, "color": [ 87, 126, 148 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[746.61, 692.65]]) <= 50.0", "assert check_distance(predict_position(0.20), [[743.21, 625.3]]) <= 50.0", "assert check_distance(predict_position(0.30), [[768.37, 616.44]]) <= 50.0", "assert check_distance(predict_position(0.40), [[772.09, 677.38]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.25, "color": [ 106, 250, 168 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[716.77, 777.32]]) <= 50.0", "assert check_distance(predict_position(0.20), [[683.54, 794.64]]) <= 50.0", "assert check_distance(predict_position(0.30), [[709.21, 801.96]]) <= 50.0", "assert check_distance(predict_position(0.40), [[741.9, 799.26]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.25, "color": [ 221, 122, 235 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[710.01, 767.4]]) <= 50.0", "assert check_distance(predict_position(0.20), [[670.02, 774.81]]) <= 50.0", "assert check_distance(predict_position(0.30), [[629.93, 772.19]]) <= 50.0", "assert check_distance(predict_position(0.40), [[589.94, 759.57]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.3, "color": [ 122, 211, 55 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rot...
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), [[702.91, 751.71]]) <= 50.0", "assert check_distance(predict_position(0.20), [[655.81, 743.42]]) <= 50.0", "assert check_distance(predict_position(0.30), [[609.87, 726.35]]) <= 50.0", "assert check_distance(predict_position(0.40), [[613.0, 748.25]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.49, "color": [ 131, 127, 229 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[797.53, 722.88]]) <= 50.0", "assert check_distance(predict_position(0.20), [[845.07, 685.76]]) <= 50.0", "assert check_distance(predict_position(0.30), [[837.63, 678.54]]) <= 50.0", "assert check_distance(predict_position(0.40), [[790.51, 690.16]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.47, "color": [ 182, 235, 78 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[695.95, 750.96]]) <= 50.0", "assert check_distance(predict_position(0.20), [[641.89, 741.91]]) <= 50.0", "assert check_distance(predict_position(0.30), [[596.87, 728.1]]) <= 50.0", "assert check_distance(predict_position(0.40), [[629.34, 749.0]]) <= 50.0", "a...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.5, "color": [ 163, 220, 253 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[789.62, 704.75]]) <= 50.0", "assert check_distance(predict_position(0.20), [[829.25, 649.5]]) <= 50.0", "assert check_distance(predict_position(0.30), [[790.92, 640.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[723.68, 643.15]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.35, "color": [ 77, 56, 103 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rot...
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), [[718.73, 703.47]]) <= 50.0", "assert check_distance(predict_position(0.20), [[687.45, 646.94]]) <= 50.0", "assert check_distance(predict_position(0.30), [[667.84, 615.81]]) <= 50.0", "assert check_distance(predict_position(0.40), [[697.43, 675.11]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.43, "color": [ 197, 255, 67 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[740.99, 787.24]]) <= 50.0", "assert check_distance(predict_position(0.20), [[731.98, 814.48]]) <= 50.0", "assert check_distance(predict_position(0.30), [[722.95, 831.75]]) <= 50.0", "assert check_distance(predict_position(0.40), [[713.94, 838.97]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.39, "color": [ 72, 65, 222 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rot...
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), [[708.54, 729.22]]) <= 50.0", "assert check_distance(predict_position(0.20), [[678.61, 698.44]]) <= 50.0", "assert check_distance(predict_position(0.30), [[716.13, 657.54]]) <= 50.0", "assert check_distance(predict_position(0.40), [[703.31, 693.76]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.43, "color": [ 90, 99, 126 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "rot...
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), [[802.93, 722.77]]) <= 50.0", "assert check_distance(predict_position(0.20), [[855.86, 685.54]]) <= 50.0", "assert check_distance(predict_position(0.30), [[841.01, 687.52]]) <= 50.0", "assert check_distance(predict_position(0.40), [[809.15, 691.87]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.21, "color": [ 189, 62, 212 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[788.45, 763.61]]) <= 50.0", "assert check_distance(predict_position(0.20), [[826.9, 767.23]]) <= 50.0", "assert check_distance(predict_position(0.30), [[865.45, 760.81]]) <= 50.0", "assert check_distance(predict_position(0.40), [[903.9, 744.4]]) <= 50.0", "as...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.22, "color": [ 181, 252, 53 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[720.95, 777.04]]) <= 50.0", "assert check_distance(predict_position(0.20), [[691.89, 794.09]]) <= 50.0", "assert check_distance(predict_position(0.30), [[683.08, 801.14]]) <= 50.0", "assert check_distance(predict_position(0.40), [[710.54, 798.15]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.22, "color": [ 244, 109, 107 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[758.5, 794.94]]) <= 50.0", "assert check_distance(predict_position(0.20), [[766.99, 829.88]]) <= 50.0", "assert check_distance(predict_position(0.30), [[775.51, 854.87]]) <= 50.0", "assert check_distance(predict_position(0.40), [[784.01, 869.79]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.37, "color": [ 125, 115, 143 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[713.21, 782.43]]) <= 50.0", "assert check_distance(predict_position(0.20), [[676.42, 804.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[639.53, 817.3]]) <= 50.0", "assert check_distance(predict_position(0.40), [[630.61, 803.61]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.22, "color": [ 210, 220, 190 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[709.3, 759.22]]) <= 50.0", "assert check_distance(predict_position(0.20), [[668.6, 758.44]]) <= 50.0", "assert check_distance(predict_position(0.30), [[627.8, 747.62]]) <= 50.0", "assert check_distance(predict_position(0.40), [[590.53, 728.79]]) <= 50.0", "as...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.26, "color": [ 195, 55, 119 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[766.8, 788.58]]) <= 50.0", "assert check_distance(predict_position(0.20), [[783.59, 817.15]]) <= 50.0", "assert check_distance(predict_position(0.30), [[800.43, 835.76]]) <= 50.0", "assert check_distance(predict_position(0.40), [[817.23, 844.31]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.39, "color": [ 234, 220, 186 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[784.01, 766.48]]) <= 50.0", "assert check_distance(predict_position(0.20), [[818.02, 772.96]]) <= 50.0", "assert check_distance(predict_position(0.30), [[852.11, 769.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[881.42, 747.73]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.4, "color": [ 175, 210, 231 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[712.7, 788.05]]) <= 50.0", "assert check_distance(predict_position(0.20), [[675.39, 816.1]]) <= 50.0", "assert check_distance(predict_position(0.30), [[637.99, 834.19]]) <= 50.0", "assert check_distance(predict_position(0.40), [[628.97, 842.21]]) <= 50.0", "a...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.2, "color": [ 231, 205, 155 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
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), [[710.84, 778.27]]) <= 50.0", "assert check_distance(predict_position(0.20), [[671.68, 796.53]]) <= 50.0", "assert check_distance(predict_position(0.30), [[642.09, 795.14]]) <= 50.0", "assert check_distance(predict_position(0.40), [[642.45, 753.86]]) <= 50.0", ...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.24, "color": [ 184, 185, 151 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "r...
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), [[722.14, 696.92]]) <= 50.0", "assert check_distance(predict_position(0.20), [[694.29, 633.84]]) <= 50.0", "assert check_distance(predict_position(0.30), [[706.3, 683.49]]) <= 50.0", "assert check_distance(predict_position(0.40), [[722.75, 736.79]]) <= 50.0", "...
ballsim
AD_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": [ { "angular_time_variation": false, "angular_velocity": 0.39, "color": [ 251, 59, 164 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 35, "restitution": 1, "ro...
50
function
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