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), [[750.66, 771.21]]) <= 50.0", "assert check_distance(predict_position(0.20), [[751.32, 791.42]]) <= 50.0", "assert check_distance(predict_position(0.30), [[751.98, 810.68]]) <= 50.0", "assert check_distance(predict_position(0.40), [[752.64, 828.89]]) <= 50.0", ...
ballsim
AD_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": 0.15, "color": [ 58, 65, 98 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rota...
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), [[784.81, 754.8]]) <= 50.0", "assert check_distance(predict_position(0.20), [[819.63, 758.59]]) <= 50.0", "assert check_distance(predict_position(0.30), [[854.53, 761.4]]) <= 50.0", "assert check_distance(predict_position(0.40), [[889.34, 763.19]]) <= 50.0", "a...
ballsim
AD_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": 0.18, "color": [ 106, 215, 179 ], "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), [[773.54, 772.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[797.07, 794.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[820.66, 815.78]]) <= 50.0", "assert check_distance(predict_position(0.40), [[844.2, 835.69]]) <= 50.0", "...
ballsim
AD_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": 0.15, "color": [ 227, 244, 229 ], "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), [[729.74, 721.73]]) <= 50.0", "assert check_distance(predict_position(0.20), [[709.47, 692.46]]) <= 50.0", "assert check_distance(predict_position(0.30), [[689.16, 662.12]]) <= 50.0", "assert check_distance(predict_position(0.40), [[684.04, 646.0]]) <= 50.0", "...
ballsim
AD_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": 0.13, "color": [ 153, 85, 172 ], "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), [[733.28, 779.6]]) <= 50.0", "assert check_distance(predict_position(0.20), [[716.55, 808.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[699.79, 835.86]]) <= 50.0", "assert check_distance(predict_position(0.40), [[683.06, 862.45]]) <= 50.0", "...
ballsim
AD_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": 0.13, "color": [ 194, 58, 60 ], "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), [[777.39, 742.1]]) <= 50.0", "assert check_distance(predict_position(0.20), [[804.79, 733.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[832.25, 723.26]]) <= 50.0", "assert check_distance(predict_position(0.40), [[853.37, 723.19]]) <= 50.0", "...
ballsim
AD_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": [ 131, 176, 209 ], "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), [[752.22, 720.41]]) <= 50.0", "assert check_distance(predict_position(0.20), [[754.44, 689.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[756.67, 658.15]]) <= 50.0", "assert check_distance(predict_position(0.40), [[739.41, 659.29]]) <= 50.0", ...
ballsim
AD_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": [ 116, 164, 98 ], "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), [[723.12, 729.53]]) <= 50.0", "assert check_distance(predict_position(0.20), [[696.24, 708.05]]) <= 50.0", "assert check_distance(predict_position(0.30), [[685.56, 685.52]]) <= 50.0", "assert check_distance(predict_position(0.40), [[712.13, 662.05]]) <= 50.0", ...
ballsim
AD_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": 0.15, "color": [ 148, 231, 172 ], "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), [[741.8, 774.88]]) <= 50.0", "assert check_distance(predict_position(0.20), [[733.59, 798.77]]) <= 50.0", "assert check_distance(predict_position(0.30), [[725.37, 821.71]]) <= 50.0", "assert check_distance(predict_position(0.40), [[717.17, 843.59]]) <= 50.0", "...
ballsim
AD_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": 0.12, "color": [ 79, 219, 154 ], "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), [[743.29, 710.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[736.57, 669.24]]) <= 50.0", "assert check_distance(predict_position(0.30), [[729.84, 627.25]]) <= 50.0", "assert check_distance(predict_position(0.40), [[738.65, 599.88]]) <= 50.0", ...
ballsim
AD_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": 0.13, "color": [ 91, 224, 120 ], "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), [[743.07, 770.64]]) <= 50.0", "assert check_distance(predict_position(0.20), [[736.13, 790.27]]) <= 50.0", "assert check_distance(predict_position(0.30), [[729.18, 808.95]]) <= 50.0", "assert check_distance(predict_position(0.40), [[722.25, 826.59]]) <= 50.0", ...
ballsim
AD_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": 0.2, "color": [ 55, 249, 69 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rota...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[763.57, 767.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[777.15, 784.86]]) <= 50.0", "assert check_distance(predict_position(0.30), [[790.76, 800.82]]) <= 50.0", "assert check_distance(predict_position(0.40), [[804.33, 815.75]]) <= 50.0", ...
ballsim
AD_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": 0.16, "color": [ 162, 149, 209 ], "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), [[728.69, 750.16]]) <= 50.0", "assert check_distance(predict_position(0.20), [[707.37, 749.33]]) <= 50.0", "assert check_distance(predict_position(0.30), [[686.01, 747.49]]) <= 50.0", "assert check_distance(predict_position(0.40), [[664.69, 744.65]]) <= 50.0", ...
ballsim
AD_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": 0.19, "color": [ 170, 243, 60 ], "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), [[761.3, 732.09]]) <= 50.0", "assert check_distance(predict_position(0.20), [[772.61, 713.17]]) <= 50.0", "assert check_distance(predict_position(0.30), [[783.94, 693.21]]) <= 50.0", "assert check_distance(predict_position(0.40), [[786.83, 686.87]]) <= 50.0", "...
ballsim
AD_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": 0.19, "color": [ 71, 90, 169 ], "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), [[760.86, 776.01]]) <= 50.0", "assert check_distance(predict_position(0.20), [[771.73, 801.03]]) <= 50.0", "assert check_distance(predict_position(0.30), [[781.33, 822.86]]) <= 50.0", "assert check_distance(predict_position(0.40), [[770.34, 808.02]]) <= 50.0", ...
ballsim
AD_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": 0.17, "color": [ 241, 172, 207 ], "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), [[740.45, 730.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[730.91, 710.68]]) <= 50.0", "assert check_distance(predict_position(0.30), [[721.34, 689.46]]) <= 50.0", "assert check_distance(predict_position(0.40), [[711.79, 667.3]]) <= 50.0", "...
ballsim
AD_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": 0.13, "color": [ 193, 69, 215 ], "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), [[722.12, 721.97]]) <= 50.0", "assert check_distance(predict_position(0.20), [[694.24, 692.94]]) <= 50.0", "assert check_distance(predict_position(0.30), [[666.31, 662.85]]) <= 50.0", "assert check_distance(predict_position(0.40), [[681.93, 675.32]]) <= 50.0", ...
ballsim
AD_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": 0.11, "color": [ 245, 175, 96 ], "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), [[762.77, 773.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[775.54, 795.84]]) <= 50.0", "assert check_distance(predict_position(0.30), [[788.34, 817.32]]) <= 50.0", "assert check_distance(predict_position(0.40), [[792.03, 822.01]]) <= 50.0", ...
ballsim
AD_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": 0.12, "color": [ 182, 57, 113 ], "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), [[769.19, 717.34]]) <= 50.0", "assert check_distance(predict_position(0.20), [[788.38, 683.69]]) <= 50.0", "assert check_distance(predict_position(0.30), [[807.62, 648.94]]) <= 50.0", "assert check_distance(predict_position(0.40), [[810.09, 630.0]]) <= 50.0", "...
ballsim
AD_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": 0.13, "color": [ 167, 110, 165 ], "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), [[774.37, 776.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[798.73, 801.85]]) <= 50.0", "assert check_distance(predict_position(0.30), [[812.95, 808.64]]) <= 50.0", "assert check_distance(predict_position(0.40), [[804.18, 774.67]]) <= 50.0", ...
ballsim
AD_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": 0.15, "color": [ 176, 201, 198 ], "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), [[762.72, 732.97]]) <= 50.0", "assert check_distance(predict_position(0.20), [[775.44, 714.93]]) <= 50.0", "assert check_distance(predict_position(0.30), [[788.19, 695.85]]) <= 50.0", "assert check_distance(predict_position(0.40), [[800.91, 675.82]]) <= 50.0", ...
ballsim
AD_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": [ 208, 182, 80 ], "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), [[754.86, 774.46]]) <= 50.0", "assert check_distance(predict_position(0.20), [[759.72, 797.93]]) <= 50.0", "assert check_distance(predict_position(0.30), [[764.59, 820.45]]) <= 50.0", "assert check_distance(predict_position(0.40), [[769.45, 841.91]]) <= 50.0", ...
ballsim
AD_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": 0.1, "color": [ 233, 242, 211 ], "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), [[779.08, 737.6]]) <= 50.0", "assert check_distance(predict_position(0.20), [[808.15, 724.2]]) <= 50.0", "assert check_distance(predict_position(0.30), [[837.3, 709.77]]) <= 50.0", "assert check_distance(predict_position(0.40), [[866.38, 694.36]]) <= 50.0", "as...
ballsim
AD_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": 0.19, "color": [ 217, 83, 89 ], "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), [[740.75, 719.4]]) <= 50.0", "assert check_distance(predict_position(0.20), [[731.49, 687.8]]) <= 50.0", "assert check_distance(predict_position(0.30), [[722.22, 655.12]]) <= 50.0", "assert check_distance(predict_position(0.40), [[712.97, 621.52]]) <= 50.0", "a...
ballsim
AD_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": 0.12, "color": [ 144, 69, 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), [[763.13, 784.71]]) <= 50.0", "assert check_distance(predict_position(0.20), [[776.27, 818.42]]) <= 50.0", "assert check_distance(predict_position(0.30), [[774.49, 825.32]]) <= 50.0", "assert check_distance(predict_position(0.40), [[752.81, 796.72]]) <= 50.0", ...
ballsim
AD_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": 0.11, "color": [ 241, 154, 159 ], "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), [[746.88, 783.28]]) <= 50.0", "assert check_distance(predict_position(0.20), [[743.75, 815.56]]) <= 50.0", "assert check_distance(predict_position(0.30), [[740.52, 846.74]]) <= 50.0", "assert check_distance(predict_position(0.40), [[717.15, 841.93]]) <= 50.0", ...
ballsim
AD_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": 0.19, "color": [ 94, 190, 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), [[780.86, 737.32]]) <= 50.0", "assert check_distance(predict_position(0.20), [[811.72, 723.64]]) <= 50.0", "assert check_distance(predict_position(0.30), [[842.66, 708.92]]) <= 50.0", "assert check_distance(predict_position(0.40), [[873.51, 693.23]]) <= 50.0", ...
ballsim
AD_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": 0.15, "color": [ 149, 126, 168 ], "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), [[777.25, 743.93]]) <= 50.0", "assert check_distance(predict_position(0.20), [[804.49, 736.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[831.81, 728.78]]) <= 50.0", "assert check_distance(predict_position(0.40), [[859.05, 719.71]]) <= 50.0", ...
ballsim
AD_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": 0.17, "color": [ 151, 90, 94 ], "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), [[741.82, 772.24]]) <= 50.0", "assert check_distance(predict_position(0.20), [[733.64, 793.48]]) <= 50.0", "assert check_distance(predict_position(0.30), [[725.44, 813.78]]) <= 50.0", "assert check_distance(predict_position(0.40), [[717.26, 833.02]]) <= 50.0", ...
ballsim
AD_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": 0.11, "color": [ 190, 235, 206 ], "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), [[771.24, 760.85]]) <= 50.0", "assert check_distance(predict_position(0.20), [[792.48, 770.69]]) <= 50.0", "assert check_distance(predict_position(0.30), [[813.77, 779.56]]) <= 50.0", "assert check_distance(predict_position(0.40), [[835.01, 787.4]]) <= 50.0", "...
ballsim
AD_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": 0.11, "color": [ 97, 122, 170 ], "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), [[783.54, 749.02]]) <= 50.0", "assert check_distance(predict_position(0.20), [[817.09, 747.03]]) <= 50.0", "assert check_distance(predict_position(0.30), [[850.72, 744.04]]) <= 50.0", "assert check_distance(predict_position(0.40), [[884.26, 740.05]]) <= 50.0", ...
ballsim
AD_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": 0.18, "color": [ 233, 139, 220 ], "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), [[787.55, 748.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[825.1, 745.24]]) <= 50.0", "assert check_distance(predict_position(0.30), [[862.74, 741.34]]) <= 50.0", "assert check_distance(predict_position(0.40), [[900.29, 736.46]]) <= 50.0", "...
ballsim
AD_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": [ 111, 225, 222 ], "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), [[748.36, 726.24]]) <= 50.0", "assert check_distance(predict_position(0.20), [[746.73, 701.47]]) <= 50.0", "assert check_distance(predict_position(0.30), [[745.09, 675.65]]) <= 50.0", "assert check_distance(predict_position(0.40), [[743.45, 648.88]]) <= 50.0", ...
ballsim
AD_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": 0.11, "color": [ 58, 212, 69 ], "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), [[722.73, 724.48]]) <= 50.0", "assert check_distance(predict_position(0.20), [[695.46, 697.97]]) <= 50.0", "assert check_distance(predict_position(0.30), [[686.75, 670.38]]) <= 50.0", "assert check_distance(predict_position(0.40), [[712.39, 644.22]]) <= 50.0", ...
ballsim
AD_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": 0.14, "color": [ 218, 103, 173 ], "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), [[759.57, 779.31]]) <= 50.0", "assert check_distance(predict_position(0.20), [[769.14, 807.62]]) <= 50.0", "assert check_distance(predict_position(0.30), [[778.73, 834.99]]) <= 50.0", "assert check_distance(predict_position(0.40), [[788.31, 861.3]]) <= 50.0", "...
ballsim
AD_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": [ 157, 120, 199 ], "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), [[734.55, 767.14]]) <= 50.0", "assert check_distance(predict_position(0.20), [[719.09, 783.28]]) <= 50.0", "assert check_distance(predict_position(0.30), [[703.6, 798.46]]) <= 50.0", "assert check_distance(predict_position(0.40), [[688.14, 812.6]]) <= 50.0", "a...
ballsim
AD_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": 0.13, "color": [ 224, 188, 190 ], "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), [[769.85, 728.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[789.7, 706.34]]) <= 50.0", "assert check_distance(predict_position(0.30), [[809.6, 682.96]]) <= 50.0", "assert check_distance(predict_position(0.40), [[803.46, 703.63]]) <= 50.0", "a...
ballsim
AD_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": 0.18, "color": [ 156, 103, 168 ], "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), [[721.73, 735.85]]) <= 50.0", "assert check_distance(predict_position(0.20), [[693.46, 720.71]]) <= 50.0", "assert check_distance(predict_position(0.30), [[665.11, 704.52]]) <= 50.0", "assert check_distance(predict_position(0.40), [[640.4, 690.93]]) <= 50.0", "...
ballsim
AD_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": 0.1, "color": [ 78, 118, 230 ], "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), [[720.9, 750.15]]) <= 50.0", "assert check_distance(predict_position(0.20), [[691.8, 749.29]]) <= 50.0", "assert check_distance(predict_position(0.30), [[662.62, 747.43]]) <= 50.0", "assert check_distance(predict_position(0.40), [[633.52, 744.57]]) <= 50.0", "a...
ballsim
AD_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": 0.15, "color": [ 203, 84, 161 ], "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), [[733.94, 776.4]]) <= 50.0", "assert check_distance(predict_position(0.20), [[717.87, 801.81]]) <= 50.0", "assert check_distance(predict_position(0.30), [[701.77, 826.28]]) <= 50.0", "assert check_distance(predict_position(0.40), [[685.7, 849.68]]) <= 50.0", "a...
ballsim
AD_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": 0.13, "color": [ 162, 183, 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), [[718.92, 772.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[687.84, 794.35]]) <= 50.0", "assert check_distance(predict_position(0.30), [[656.68, 815.07]]) <= 50.0", "assert check_distance(predict_position(0.40), [[660.17, 800.18]]) <= 50.0", ...
ballsim
AD_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": 0.19, "color": [ 230, 111, 157 ], "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), [[754.93, 727.23]]) <= 50.0", "assert check_distance(predict_position(0.20), [[759.86, 703.47]]) <= 50.0", "assert check_distance(predict_position(0.30), [[764.81, 678.64]]) <= 50.0", "assert check_distance(predict_position(0.40), [[769.74, 652.87]]) <= 50.0", ...
ballsim
AD_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": 0.18, "color": [ 162, 88, 59 ], "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), [[731.47, 767.32]]) <= 50.0", "assert check_distance(predict_position(0.20), [[712.94, 783.64]]) <= 50.0", "assert check_distance(predict_position(0.30), [[694.36, 799.0]]) <= 50.0", "assert check_distance(predict_position(0.40), [[675.83, 813.32]]) <= 50.0", "...
ballsim
AD_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": 0.16, "color": [ 128, 207, 162 ], "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), [[753.08, 772.6]]) <= 50.0", "assert check_distance(predict_position(0.20), [[756.15, 794.21]]) <= 50.0", "assert check_distance(predict_position(0.30), [[759.24, 814.86]]) <= 50.0", "assert check_distance(predict_position(0.40), [[762.31, 834.46]]) <= 50.0", "...
ballsim
AD_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": 0.19, "color": [ 102, 120, 203 ], "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), [[720.58, 772.52]]) <= 50.0", "assert check_distance(predict_position(0.20), [[691.16, 794.04]]) <= 50.0", "assert check_distance(predict_position(0.30), [[661.67, 814.61]]) <= 50.0", "assert check_distance(predict_position(0.40), [[649.0, 817.38]]) <= 50.0", "...
ballsim
AD_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": 0.11, "color": [ 223, 84, 70 ], "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), [[749.39, 710.52]]) <= 50.0", "assert check_distance(predict_position(0.20), [[748.78, 670.05]]) <= 50.0", "assert check_distance(predict_position(0.30), [[736.4, 648.86]]) <= 50.0", "assert check_distance(predict_position(0.40), [[700.07, 668.26]]) <= 50.0", "...
ballsim
AD_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": 0.16, "color": [ 167, 154, 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), [[786.43, 748.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[822.85, 746.68]]) <= 50.0", "assert check_distance(predict_position(0.30), [[859.37, 743.52]]) <= 50.0", "assert check_distance(predict_position(0.40), [[895.79, 739.36]]) <= 50.0", ...
ballsim
AD_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": 0.13, "color": [ 152, 157, 158 ], "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), [[740.19, 721.79]]) <= 50.0", "assert check_distance(predict_position(0.20), [[730.37, 692.59]]) <= 50.0", "assert check_distance(predict_position(0.30), [[720.53, 662.31]]) <= 50.0", "assert check_distance(predict_position(0.40), [[710.72, 631.1]]) <= 50.0", "...
ballsim
AD_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": 0.16, "color": [ 94, 238, 225 ], "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), [[764.6, 775.44]]) <= 50.0", "assert check_distance(predict_position(0.20), [[779.2, 799.88]]) <= 50.0", "assert check_distance(predict_position(0.30), [[793.84, 823.38]]) <= 50.0", "assert check_distance(predict_position(0.40), [[808.43, 845.82]]) <= 50.0", "a...
ballsim
AD_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": 0.16, "color": [ 155, 126, 197 ], "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), [[723.05, 753.97]]) <= 50.0", "assert check_distance(predict_position(0.20), [[696.09, 756.93]]) <= 50.0", "assert check_distance(predict_position(0.30), [[669.07, 758.9]]) <= 50.0", "assert check_distance(predict_position(0.40), [[642.12, 759.86]]) <= 50.0", "...
ballsim
AD_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": [ 117, 189, 56 ], "density": 1, "inner_rotation_enabled": true, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "ro...
50
function