messages
list
ground_truth
list
dataset
string
id
string
difficulty
int64
timestamps
list
scene_config
dict
tolerance
float64
prompt_setting
string
[ { "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), [[776.88, 744.58]]) <= 50.0", "assert check_distance(predict_position(0.20), [[803.76, 739.16]]) <= 50.0", "assert check_distance(predict_position(0.30), [[830.71, 733.73]]) <= 50.0", "assert check_distance(predict_position(0.40), [[857.59, 728.31]]) <= 50.0", ...
ballsim
AF_0_26
0
[ 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": [ 69, 109, 239 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[777.98, 737.11]]) <= 50.0", "assert check_distance(predict_position(0.20), [[805.96, 724.22]]) <= 50.0", "assert check_distance(predict_position(0.30), [[834.01, 711.3]]) <= 50.0", "assert check_distance(predict_position(0.40), [[861.98, 698.41]]) <= 50.0", "...
ballsim
AF_0_24
0
[ 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": 0.12, "color": [ 203, 104, 249 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[772.75, 754.39]]) <= 50.0", "assert check_distance(predict_position(0.20), [[795.51, 758.79]]) <= 50.0", "assert check_distance(predict_position(0.30), [[818.32, 763.19]]) <= 50.0", "assert check_distance(predict_position(0.40), [[841.07, 767.59]]) <= 50.0", ...
ballsim
AF_0_20
0
[ 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": 0.1, "color": [ 200, 83, 172 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[727.08, 782.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[704.15, 814.84]]) <= 50.0", "assert check_distance(predict_position(0.30), [[681.17, 847.35]]) <= 50.0", "assert check_distance(predict_position(0.40), [[694.82, 877.25]]) <= 50.0", ...
ballsim
AF_0_12
0
[ 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": 0.17, "color": [ 66, 142, 130 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[749.76, 778.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[749.51, 807.81]]) <= 50.0", "assert check_distance(predict_position(0.30), [[749.27, 836.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[749.02, 865.7]]) <= 50.0", "...
ballsim
AF_0_5
0
[ 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": 0.16, "color": [ 170, 221, 147 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[787.87, 746.02]]) <= 50.0", "assert check_distance(predict_position(0.20), [[825.73, 742.04]]) <= 50.0", "assert check_distance(predict_position(0.30), [[863.69, 738.05]]) <= 50.0", "assert check_distance(predict_position(0.40), [[901.56, 734.07]]) <= 50.0", ...
ballsim
AF_0_46
0
[ 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": 0.11, "color": [ 112, 52, 255 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[777.64, 767.29]]) <= 50.0", "assert check_distance(predict_position(0.20), [[805.27, 784.57]]) <= 50.0", "assert check_distance(predict_position(0.30), [[832.98, 801.9]]) <= 50.0", "assert check_distance(predict_position(0.40), [[837.94, 779.92]]) <= 50.0", "...
ballsim
AF_0_27
0
[ 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": 0.16, "color": [ 113, 125, 205 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[772.78, 747.39]]) <= 50.0", "assert check_distance(predict_position(0.20), [[795.56, 744.78]]) <= 50.0", "assert check_distance(predict_position(0.30), [[818.39, 742.16]]) <= 50.0", "assert check_distance(predict_position(0.40), [[841.17, 739.54]]) <= 50.0", ...
ballsim
AF_0_10
0
[ 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": 0.12, "color": [ 194, 63, 123 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[766.5, 777.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[783.01, 805.81]]) <= 50.0", "assert check_distance(predict_position(0.30), [[799.55, 833.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[816.06, 861.69]]) <= 50.0", "...
ballsim
AF_0_30
0
[ 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": 0.19, "color": [ 204, 88, 190 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[727.05, 734.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[704.1, 718.07]]) <= 50.0", "assert check_distance(predict_position(0.30), [[681.09, 702.06]]) <= 50.0", "assert check_distance(predict_position(0.40), [[696.24, 686.09]]) <= 50.0", "...
ballsim
AF_0_17
0
[ 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": 0.19, "color": [ 239, 59, 135 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[720.39, 752.47]]) <= 50.0", "assert check_distance(predict_position(0.20), [[690.77, 754.93]]) <= 50.0", "assert check_distance(predict_position(0.30), [[693.59, 757.4]]) <= 50.0", "assert check_distance(predict_position(0.40), [[722.74, 759.87]]) <= 50.0", "...
ballsim
AF_0_32
0
[ 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": 0.19, "color": [ 67, 214, 196 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[770.73, 758.4]]) <= 50.0", "assert check_distance(predict_position(0.20), [[791.46, 766.8]]) <= 50.0", "assert check_distance(predict_position(0.30), [[812.23, 775.22]]) <= 50.0", "assert check_distance(predict_position(0.40), [[832.96, 783.61]]) <= 50.0", "a...
ballsim
AF_0_22
0
[ 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": 0.13, "color": [ 81, 159, 82 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[767.75, 728.52]]) <= 50.0", "assert check_distance(predict_position(0.20), [[785.5, 707.03]]) <= 50.0", "assert check_distance(predict_position(0.30), [[803.29, 685.49]]) <= 50.0", "assert check_distance(predict_position(0.40), [[821.04, 664.01]]) <= 50.0", "...
ballsim
AF_0_13
0
[ 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": 0.15, "color": [ 198, 223, 91 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[769.75, 758.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[789.5, 766.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[809.3, 775.29]]) <= 50.0", "assert check_distance(predict_position(0.40), [[829.05, 783.71]]) <= 50.0", "a...
ballsim
AF_0_4
0
[ 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": 0.16, "color": [ 182, 202, 217 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[773.39, 758.54]]) <= 50.0", "assert check_distance(predict_position(0.20), [[796.78, 767.09]]) <= 50.0", "assert check_distance(predict_position(0.30), [[820.22, 775.66]]) <= 50.0", "assert check_distance(predict_position(0.40), [[843.61, 784.2]]) <= 50.0", "...
ballsim
AF_0_40
0
[ 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": 0.14, "color": [ 87, 199, 217 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[766.82, 774.88]]) <= 50.0", "assert check_distance(predict_position(0.20), [[783.64, 799.76]]) <= 50.0", "assert check_distance(predict_position(0.30), [[778.56, 802.75]]) <= 50.0", "assert check_distance(predict_position(0.40), [[754.68, 786.93]]) <= 50.0", ...
ballsim
AF_0_39
0
[ 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": 0.18, "color": [ 134, 133, 242 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[769.36, 726.88]]) <= 50.0", "assert check_distance(predict_position(0.20), [[788.72, 703.76]]) <= 50.0", "assert check_distance(predict_position(0.30), [[808.13, 680.58]]) <= 50.0", "assert check_distance(predict_position(0.40), [[827.49, 657.46]]) <= 50.0", ...
ballsim
AF_0_11
0
[ 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": 0.15, "color": [ 234, 177, 51 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[762.74, 717.9]]) <= 50.0", "assert check_distance(predict_position(0.20), [[775.49, 685.79]]) <= 50.0", "assert check_distance(predict_position(0.30), [[778.16, 671.09]]) <= 50.0", "assert check_distance(predict_position(0.40), [[756.75, 698.09]]) <= 50.0", "...
ballsim
AF_0_25
0
[ 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": 0.16, "color": [ 171, 138, 152 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[730.64, 723.66]]) <= 50.0", "assert check_distance(predict_position(0.20), [[711.28, 697.31]]) <= 50.0", "assert check_distance(predict_position(0.30), [[691.87, 670.91]]) <= 50.0", "assert check_distance(predict_position(0.40), [[672.89, 644.94]]) <= 50.0", ...
ballsim
AF_0_36
0
[ 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": 0.19, "color": [ 71, 145, 152 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[735.38, 739.64]]) <= 50.0", "assert check_distance(predict_position(0.20), [[754.11, 720.71]]) <= 50.0", "assert check_distance(predict_position(0.30), [[773.39, 701.67]]) <= 50.0", "assert check_distance(predict_position(0.40), [[792.63, 682.67]]) <= 50.0", ...
ballsim
AF_0_1
0
[ 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": 0.12, "color": [ 138, 195, 187 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[742.46, 719.7]]) <= 50.0", "assert check_distance(predict_position(0.20), [[734.91, 689.4]]) <= 50.0", "assert check_distance(predict_position(0.30), [[752.41, 684.09]]) <= 50.0", "assert check_distance(predict_position(0.40), [[781.61, 690.54]]) <= 50.0", "a...
ballsim
AF_0_44
0
[ 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": 0.12, "color": [ 65, 171, 101 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[774.17, 737.06]]) <= 50.0", "assert check_distance(predict_position(0.20), [[798.34, 724.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[822.57, 711.15]]) <= 50.0", "assert check_distance(predict_position(0.40), [[846.74, 698.21]]) <= 50.0", ...
ballsim
AF_0_19
0
[ 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": 0.11, "color": [ 209, 186, 72 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[718.51, 750.54]]) <= 50.0", "assert check_distance(predict_position(0.20), [[687.01, 751.07]]) <= 50.0", "assert check_distance(predict_position(0.30), [[655.44, 751.61]]) <= 50.0", "assert check_distance(predict_position(0.40), [[623.94, 752.15]]) <= 50.0", ...
ballsim
AF_0_34
0
[ 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": 0.16, "color": [ 117, 141, 248 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[767.07, 767.16]]) <= 50.0", "assert check_distance(predict_position(0.20), [[784.13, 784.33]]) <= 50.0", "assert check_distance(predict_position(0.30), [[801.24, 801.53]]) <= 50.0", "assert check_distance(predict_position(0.40), [[818.3, 818.7]]) <= 50.0", "a...
ballsim
AF_0_49
0
[ 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": 0.16, "color": [ 196, 209, 86 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[764.01, 728.76]]) <= 50.0", "assert check_distance(predict_position(0.20), [[778.03, 707.52]]) <= 50.0", "assert check_distance(predict_position(0.30), [[792.08, 686.23]]) <= 50.0", "assert check_distance(predict_position(0.40), [[790.82, 691.44]]) <= 50.0", ...
ballsim
AF_0_42
0
[ 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": 0.15, "color": [ 136, 208, 241 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[716.33, 741.33]]) <= 50.0", "assert check_distance(predict_position(0.20), [[682.67, 732.67]]) <= 50.0", "assert check_distance(predict_position(0.30), [[666.09, 723.98]]) <= 50.0", "assert check_distance(predict_position(0.40), [[699.73, 715.31]]) <= 50.0", ...
ballsim
AF_0_31
0
[ 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": 0.11, "color": [ 146, 240, 104 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[776.0, 749.22]]) <= 50.0", "assert check_distance(predict_position(0.20), [[802.0, 748.44]]) <= 50.0", "assert check_distance(predict_position(0.30), [[828.07, 747.65]]) <= 50.0", "assert check_distance(predict_position(0.40), [[839.02, 761.92]]) <= 50.0", "a...
ballsim
AF_0_29
0
[ 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": 0.11, "color": [ 130, 86, 51 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[773.83, 751.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[797.66, 752.25]]) <= 50.0", "assert check_distance(predict_position(0.30), [[821.54, 753.37]]) <= 50.0", "assert check_distance(predict_position(0.40), [[845.37, 754.49]]) <= 50.0", ...
ballsim
AF_0_21
0
[ 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": 0.18, "color": [ 97, 250, 119 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[769.6, 721.92]]) <= 50.0", "assert check_distance(predict_position(0.20), [[789.21, 693.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[808.86, 665.7]]) <= 50.0", "assert check_distance(predict_position(0.40), [[822.3, 643.8]]) <= 50.0", "ass...
ballsim
AF_0_23
0
[ 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": 0.19, "color": [ 54, 82, 153 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[756.71, 772.44]]) <= 50.0", "assert check_distance(predict_position(0.20), [[763.43, 794.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[770.16, 817.37]]) <= 50.0", "assert check_distance(predict_position(0.40), [[769.44, 826.94]]) <= 50.0", ...
ballsim
AF_0_43
0
[ 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": 0.18, "color": [ 68, 182, 117 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[729.47, 729.03]]) <= 50.0", "assert check_distance(predict_position(0.20), [[708.94, 708.06]]) <= 50.0", "assert check_distance(predict_position(0.30), [[688.35, 687.03]]) <= 50.0", "assert check_distance(predict_position(0.40), [[667.82, 666.06]]) <= 50.0", ...
ballsim
AF_0_47
0
[ 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": 0.19, "color": [ 164, 57, 222 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[760.74, 767.46]]) <= 50.0", "assert check_distance(predict_position(0.20), [[771.48, 784.91]]) <= 50.0", "assert check_distance(predict_position(0.30), [[782.25, 802.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[793.0, 819.87]]) <= 50.0", "...
ballsim
AF_0_37
0
[ 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": 0.17, "color": [ 251, 170, 93 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[732.15, 719.04]]) <= 50.0", "assert check_distance(predict_position(0.20), [[714.31, 688.09]]) <= 50.0", "assert check_distance(predict_position(0.30), [[734.31, 694.95]]) <= 50.0", "assert check_distance(predict_position(0.40), [[764.09, 711.62]]) <= 50.0", ...
ballsim
AF_0_33
0
[ 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": [ 102, 200, 149 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[776.0, 758.11]]) <= 50.0", "assert check_distance(predict_position(0.20), [[802.0, 766.21]]) <= 50.0", "assert check_distance(predict_position(0.30), [[828.07, 774.34]]) <= 50.0", "assert check_distance(predict_position(0.40), [[854.07, 782.44]]) <= 50.0", "a...
ballsim
AF_0_45
0
[ 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": 0.1, "color": [ 225, 118, 136 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[774.02, 774.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[798.05, 798.24]]) <= 50.0", "assert check_distance(predict_position(0.30), [[822.13, 822.42]]) <= 50.0", "assert check_distance(predict_position(0.40), [[842.68, 843.07]]) <= 50.0", ...
ballsim
AF_0_14
0
[ 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": 0.13, "color": [ 211, 106, 102 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[753.25, 771.63]]) <= 50.0", "assert check_distance(predict_position(0.20), [[739.86, 776.01]]) <= 50.0", "assert check_distance(predict_position(0.30), [[722.81, 776.62]]) <= 50.0", "assert check_distance(predict_position(0.40), [[705.79, 777.23]]) <= 50.0", ...
ballsim
AF_0_50
0
[ 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": 0.16, "color": [ 187, 79, 216 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[776.98, 737.28]]) <= 50.0", "assert check_distance(predict_position(0.20), [[803.96, 724.56]]) <= 50.0", "assert check_distance(predict_position(0.30), [[831.0, 711.81]]) <= 50.0", "assert check_distance(predict_position(0.40), [[819.33, 699.09]]) <= 50.0", "...
ballsim
AF_0_48
0
[ 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": 0.12, "color": [ 233, 111, 126 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[739.77, 715.97]]) <= 50.0", "assert check_distance(predict_position(0.20), [[729.54, 681.93]]) <= 50.0", "assert check_distance(predict_position(0.30), [[719.29, 647.82]]) <= 50.0", "assert check_distance(predict_position(0.40), [[713.4, 618.12]]) <= 50.0", "...
ballsim
AF_0_3
0
[ 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": 0.13, "color": [ 204, 192, 69 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[775.22, 746.07]]) <= 50.0", "assert check_distance(predict_position(0.20), [[800.44, 742.14]]) <= 50.0", "assert check_distance(predict_position(0.30), [[825.72, 738.2]]) <= 50.0", "assert check_distance(predict_position(0.40), [[850.94, 734.27]]) <= 50.0", "...
ballsim
AF_0_28
0
[ 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": 0.12, "color": [ 246, 209, 241 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[777.37, 768.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[804.74, 786.23]]) <= 50.0", "assert check_distance(predict_position(0.30), [[832.17, 804.39]]) <= 50.0", "assert check_distance(predict_position(0.40), [[859.54, 822.51]]) <= 50.0", ...
ballsim
AF_0_38
0
[ 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": 0.15, "color": [ 218, 70, 54 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[779.74, 739.06]]) <= 50.0", "assert check_distance(predict_position(0.20), [[809.47, 728.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[839.28, 717.16]]) <= 50.0", "assert check_distance(predict_position(0.40), [[869.02, 706.22]]) <= 50.0", ...
ballsim
AF_0_6
0
[ 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": 0.1, "color": [ 172, 255, 63 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[788.92, 755.52]]) <= 50.0", "assert check_distance(predict_position(0.20), [[827.83, 761.04]]) <= 50.0", "assert check_distance(predict_position(0.30), [[866.85, 766.57]]) <= 50.0", "assert check_distance(predict_position(0.40), [[905.76, 772.08]]) <= 50.0", ...
ballsim
AF_0_35
0
[ 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": 0.17, "color": [ 121, 198, 100 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[727.95, 754.17]]) <= 50.0", "assert check_distance(predict_position(0.20), [[705.91, 758.35]]) <= 50.0", "assert check_distance(predict_position(0.30), [[683.81, 762.53]]) <= 50.0", "assert check_distance(predict_position(0.40), [[692.67, 766.71]]) <= 50.0", ...
ballsim
AF_0_7
0
[ 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": 0.19, "color": [ 245, 248, 241 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[742.8, 716.5]]) <= 50.0", "assert check_distance(predict_position(0.20), [[735.6, 683.01]]) <= 50.0", "assert check_distance(predict_position(0.30), [[728.38, 649.43]]) <= 50.0", "assert check_distance(predict_position(0.40), [[721.17, 615.93]]) <= 50.0", "as...
ballsim
AF_0_9
0
[ 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": 0.16, "color": [ 187, 190, 125 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[725.66, 722.92]]) <= 50.0", "assert check_distance(predict_position(0.20), [[701.32, 695.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[676.92, 668.71]]) <= 50.0", "assert check_distance(predict_position(0.40), [[677.62, 666.67]]) <= 50.0", ...
ballsim
AF_0_15
0
[ 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": 0.15, "color": [ 236, 50, 150 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[785.84, 740.14]]) <= 50.0", "assert check_distance(predict_position(0.20), [[821.68, 730.27]]) <= 50.0", "assert check_distance(predict_position(0.30), [[857.61, 720.39]]) <= 50.0", "assert check_distance(predict_position(0.40), [[880.09, 733.66]]) <= 50.0", ...
ballsim
AF_0_16
0
[ 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": 0.18, "color": [ 86, 234, 51 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[780.69, 762.06]]) <= 50.0", "assert check_distance(predict_position(0.20), [[811.38, 774.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[842.14, 786.21]]) <= 50.0", "assert check_distance(predict_position(0.40), [[872.83, 798.27]]) <= 50.0", ...
ballsim
AF_0_18
0
[ 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": 0.16, "color": [ 221, 50, 164 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[772.79, 757.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[801.41, 759.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[830.09, 761.9]]) <= 50.0", "assert check_distance(predict_position(0.40), [[858.71, 763.93]]) <= 50.0", "...
ballsim
AF_0_2
0
[ 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": 0.19, "color": [ 195, 219, 109 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[762.65, 771.09]]) <= 50.0", "assert check_distance(predict_position(0.20), [[775.29, 792.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[787.97, 813.33]]) <= 50.0", "assert check_distance(predict_position(0.40), [[794.73, 824.23]]) <= 50.0", ...
ballsim
AF_0_8
0
[ 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": 0.17, "color": [ 163, 162, 133 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "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), [[739.06, 770.02]]) <= 50.0", "assert check_distance(predict_position(0.20), [[728.12, 790.04]]) <= 50.0", "assert check_distance(predict_position(0.30), [[717.16, 810.11]]) <= 50.0", "assert check_distance(predict_position(0.40), [[706.22, 830.13]]) <= 50.0", ...
ballsim
AF_0_41
0
[ 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": 0.14, "color": [ 65, 127, 95 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rot...
50
function