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), [[718.97, 750.37]]) <= 50.0", "assert check_distance(predict_position(0.20), [[687.94, 749.74]]) <= 50.0", "assert check_distance(predict_position(0.30), [[665.36, 748.11]]) <= 50.0", "assert check_distance(predict_position(0.40), [[698.54, 745.48]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 201, 198, 173 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -310.23, 8.73 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[766.46, 733.86]]) <= 50.0", "assert check_distance(predict_position(0.20), [[782.91, 716.71]]) <= 50.0", "assert check_distance(predict_position(0.30), [[799.41, 698.52]]) <= 50.0", "assert check_distance(predict_position(0.40), [[815.39, 680.2]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 107, 158, 82 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 164.63, -156.43 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[757.57, 750.1]]) <= 50.0", "assert check_distance(predict_position(0.20), [[765.14, 749.21]]) <= 50.0", "assert check_distance(predict_position(0.30), [[772.72, 747.31]]) <= 50.0", "assert check_distance(predict_position(0.40), [[780.29, 744.41]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 138, 80, 81 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 75.7, 6.06 ] } ], ...
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), [[744.14, 738.78]]) <= 50.0", "assert check_distance(predict_position(0.20), [[738.28, 726.57]]) <= 50.0", "assert check_distance(predict_position(0.30), [[732.41, 713.32]]) <= 50.0", "assert check_distance(predict_position(0.40), [[726.55, 699.1]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 110, 52, 123 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -58.63, -107.15 ] } ...
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), [[776.86, 766.83]]) <= 50.0", "assert check_distance(predict_position(0.20), [[803.71, 782.67]]) <= 50.0", "assert check_distance(predict_position(0.30), [[830.63, 797.54]]) <= 50.0", "assert check_distance(predict_position(0.40), [[857.49, 811.37]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 233, 110, 78 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 268.55, 173.36 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[745.31, 779.99]]) <= 50.0", "assert check_distance(predict_position(0.20), [[740.62, 808.99]]) <= 50.0", "assert check_distance(predict_position(0.30), [[735.93, 837.05]]) <= 50.0", "assert check_distance(predict_position(0.40), [[721.88, 847.83]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 79, 163, 82 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -46.79, 304.94 ] } ...
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), [[724.8, 751.69]]) <= 50.0", "assert check_distance(predict_position(0.20), [[699.61, 752.38]]) <= 50.0", "assert check_distance(predict_position(0.30), [[674.35, 752.07]]) <= 50.0", "assert check_distance(predict_position(0.40), [[649.16, 750.75]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 77, 143, 86 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -252.06, 21.91 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[718.31, 729.11]]) <= 50.0", "assert check_distance(predict_position(0.20), [[686.62, 707.22]]) <= 50.0", "assert check_distance(predict_position(0.30), [[654.85, 684.27]]) <= 50.0", "assert check_distance(predict_position(0.40), [[670.02, 707.24]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 122, 154, 253 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -316.79, -203.88 ] ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[780.22, 769.01]]) <= 50.0", "assert check_distance(predict_position(0.20), [[810.45, 787.03]]) <= 50.0", "assert check_distance(predict_position(0.30), [[840.75, 804.08]]) <= 50.0", "assert check_distance(predict_position(0.40), [[870.97, 820.1]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 233, 110, 78 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 302.3, 195.15 ] } ...
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), [[747.31, 747.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[744.63, 743.24]]) <= 50.0", "assert check_distance(predict_position(0.30), [[741.94, 738.34]]) <= 50.0", "assert check_distance(predict_position(0.40), [[739.25, 732.45]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 94, 87, 126 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -26.85, -23.81 ] } ...
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), [[727.29, 736.75]]) <= 50.0", "assert check_distance(predict_position(0.20), [[704.59, 722.51]]) <= 50.0", "assert check_distance(predict_position(0.30), [[681.83, 707.22]]) <= 50.0", "assert check_distance(predict_position(0.40), [[705.79, 690.97]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 215, 230, 142 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -227, -127.45 ] } ...
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), [[749.17, 717.53]]) <= 50.0", "assert check_distance(predict_position(0.20), [[748.34, 684.07]]) <= 50.0", "assert check_distance(predict_position(0.30), [[747.51, 649.51]]) <= 50.0", "assert check_distance(predict_position(0.40), [[724.41, 652.63]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 53, 184, 176 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -8.2, -319.66 ] } ...
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), [[749.24, 728.55]]) <= 50.0", "assert check_distance(predict_position(0.20), [[748.49, 706.1]]) <= 50.0", "assert check_distance(predict_position(0.30), [[747.73, 682.58]]) <= 50.0", "assert check_distance(predict_position(0.40), [[746.97, 658.13]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 166, 208, 241 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -7.61, -209.51 ] } ...
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), [[761.55, 755.05]]) <= 50.0", "assert check_distance(predict_position(0.20), [[773.1, 759.11]]) <= 50.0", "assert check_distance(predict_position(0.30), [[784.67, 762.17]]) <= 50.0", "assert check_distance(predict_position(0.40), [[796.22, 764.22]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 120, 225, 186 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 115.5, 55.56 ] } ...
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), [[762.04, 732.17]]) <= 50.0", "assert check_distance(predict_position(0.20), [[774.07, 713.34]]) <= 50.0", "assert check_distance(predict_position(0.30), [[786.14, 693.45]]) <= 50.0", "assert check_distance(predict_position(0.40), [[788.18, 689.93]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 172, 65, 217 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 120.44, -173.31 ] } ...
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), [[769.68, 724.69]]) <= 50.0", "assert check_distance(predict_position(0.20), [[789.36, 698.38]]) <= 50.0", "assert check_distance(predict_position(0.30), [[809.08, 671.0]]) <= 50.0", "assert check_distance(predict_position(0.40), [[828.76, 642.69]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 146, 249, 177 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 196.88, -248.08 ] }...
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), [[771.7, 730.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[793.41, 710.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[809.14, 700.11]]) <= 50.0", "assert check_distance(predict_position(0.40), [[801.75, 728.4]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 187, 82, 190 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 217.01, -185.87 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[768.38, 766.57]]) <= 50.0", "assert check_distance(predict_position(0.20), [[786.77, 782.15]]) <= 50.0", "assert check_distance(predict_position(0.30), [[805.2, 796.76]]) <= 50.0", "assert check_distance(predict_position(0.40), [[823.58, 810.33]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 65, 93, 176 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 183.77, 170.76 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[776.05, 727.19]]) <= 50.0", "assert check_distance(predict_position(0.20), [[802.1, 703.39]]) <= 50.0", "assert check_distance(predict_position(0.30), [[806.17, 716.69]]) <= 50.0", "assert check_distance(predict_position(0.40), [[798.14, 749.9]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 187, 82, 190 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 260.4, -223.04 ] } ...
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), [[727.93, 750.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[705.86, 749.24]]) <= 50.0", "assert check_distance(predict_position(0.30), [[683.73, 747.35]]) <= 50.0", "assert check_distance(predict_position(0.40), [[662.52, 744.47]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 201, 198, 173 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -220.61, 6.21 ] } ...
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, 728.79]]) <= 50.0", "assert check_distance(predict_position(0.20), [[756.49, 706.58]]) <= 50.0", "assert check_distance(predict_position(0.30), [[759.75, 683.31]]) <= 50.0", "assert check_distance(predict_position(0.40), [[763.0, 659.1]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 248, 161, 101 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 32.59, -207.08 ] } ...
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), [[750.29, 747.6]]) <= 50.0", "assert check_distance(predict_position(0.20), [[750.59, 744.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[750.88, 739.77]]) <= 50.0", "assert check_distance(predict_position(0.40), [[751.17, 734.37]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 248, 161, 101 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 2.99, -19.03 ] } ...
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), [[730.2, 769.69]]) <= 50.0", "assert check_distance(predict_position(0.20), [[710.4, 788.38]]) <= 50.0", "assert check_distance(predict_position(0.30), [[690.55, 806.12]]) <= 50.0", "assert check_distance(predict_position(0.40), [[670.75, 822.81]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 230, 237, 237 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -197.92, 201.93 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[772.73, 727.9]]) <= 50.0", "assert check_distance(predict_position(0.20), [[795.46, 704.8]]) <= 50.0", "assert check_distance(predict_position(0.30), [[817.43, 682.06]]) <= 50.0", "assert check_distance(predict_position(0.40), [[807.79, 713.05]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 107, 158, 82 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 227.3, -215.98 ] } ...
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), [[733.69, 735.04]]) <= 50.0", "assert check_distance(predict_position(0.20), [[717.38, 719.08]]) <= 50.0", "assert check_distance(predict_position(0.30), [[701.03, 702.08]]) <= 50.0", "assert check_distance(predict_position(0.40), [[684.72, 684.12]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 94, 87, 126 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -163.07, -144.58 ] } ...
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), [[716.87, 744.26]]) <= 50.0", "assert check_distance(predict_position(0.20), [[683.74, 737.52]]) <= 50.0", "assert check_distance(predict_position(0.30), [[650.53, 729.76]]) <= 50.0", "assert check_distance(predict_position(0.40), [[617.4, 721.01]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 151, 162, 232 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -331.24, -52.4 ] } ...
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), [[773.8, 760.95]]) <= 50.0", "assert check_distance(predict_position(0.20), [[797.61, 770.89]]) <= 50.0", "assert check_distance(predict_position(0.30), [[821.47, 779.86]]) <= 50.0", "assert check_distance(predict_position(0.40), [[845.06, 787.44]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 120, 225, 186 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 237.99, 114.47 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[746.7, 770.95]]) <= 50.0", "assert check_distance(predict_position(0.20), [[743.41, 790.9]]) <= 50.0", "assert check_distance(predict_position(0.30), [[740.1, 809.9]]) <= 50.0", "assert check_distance(predict_position(0.40), [[736.81, 827.85]]) <= 50.0", "ass...
ballsim
CD_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": [ { "color": [ 79, 163, 82 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -32.91, 214.52 ] } ...
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), [[736.25, 725.94]]) <= 50.0", "assert check_distance(predict_position(0.20), [[722.51, 700.89]]) <= 50.0", "assert check_distance(predict_position(0.30), [[708.73, 674.77]]) <= 50.0", "assert check_distance(predict_position(0.40), [[694.99, 647.71]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 171, 93, 235 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -137.5, -235.55 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[729.37, 741.57]]) <= 50.0", "assert check_distance(predict_position(0.20), [[708.74, 732.13]]) <= 50.0", "assert check_distance(predict_position(0.30), [[688.06, 721.67]]) <= 50.0", "assert check_distance(predict_position(0.40), [[667.43, 710.23]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 56, 127, 156 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -206.41, -79.33 ] } ...
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), [[749.07, 713.52]]) <= 50.0", "assert check_distance(predict_position(0.20), [[748.14, 676.04]]) <= 50.0", "assert check_distance(predict_position(0.30), [[744.48, 642.21]]) <= 50.0", "assert check_distance(predict_position(0.40), [[710.59, 659.83]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 53, 184, 176 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -9.23, -359.77 ] } ...
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), [[737.48, 726.6]]) <= 50.0", "assert check_distance(predict_position(0.20), [[724.95, 702.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[712.4, 676.73]]) <= 50.0", "assert check_distance(predict_position(0.40), [[699.87, 650.32]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 110, 52, 123 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -125.32, -229.02 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[728.59, 768.56]]) <= 50.0", "assert check_distance(predict_position(0.20), [[707.18, 786.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[685.71, 802.72]]) <= 50.0", "assert check_distance(predict_position(0.40), [[664.3, 818.28]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 127, 111, 77 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -214, 190.62 ] } ]...
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), [[773.73, 751.4]]) <= 50.0", "assert check_distance(predict_position(0.20), [[797.46, 751.8]]) <= 50.0", "assert check_distance(predict_position(0.30), [[821.25, 751.19]]) <= 50.0", "assert check_distance(predict_position(0.40), [[844.98, 749.59]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 138, 80, 81 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 237.21, 19 ] } ], ...
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), [[764.5, 731.21]]) <= 50.0", "assert check_distance(predict_position(0.20), [[779.0, 711.43]]) <= 50.0", "assert check_distance(predict_position(0.30), [[793.54, 690.59]]) <= 50.0", "assert check_distance(predict_position(0.40), [[808.04, 668.8]]) <= 50.0", "as...
ballsim
CD_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": [ { "color": [ 146, 249, 177 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 145.11, -182.85 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[773.83, 771.65]]) <= 50.0", "assert check_distance(predict_position(0.20), [[797.66, 792.3]]) <= 50.0", "assert check_distance(predict_position(0.30), [[821.54, 812.0]]) <= 50.0", "assert check_distance(predict_position(0.40), [[822.18, 790.46]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 65, 93, 176 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ 238.4, 221.52 ] } ]...
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), [[733.03, 720.45]]) <= 50.0", "assert check_distance(predict_position(0.20), [[716.06, 689.9]]) <= 50.0", "assert check_distance(predict_position(0.30), [[699.05, 658.27]]) <= 50.0", "assert check_distance(predict_position(0.40), [[685.72, 625.71]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 171, 93, 235 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -169.57, -290.5 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[757.67, 741.67]]) <= 50.0", "assert check_distance(predict_position(0.20), [[765.33, 732.35]]) <= 50.0", "assert check_distance(predict_position(0.30), [[773.02, 721.99]]) <= 50.0", "assert check_distance(predict_position(0.40), [[780.68, 710.66]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 175, 119, 203 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 76.56, -78.26 ] } ...
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), [[767.82, 731.29]]) <= 50.0", "assert check_distance(predict_position(0.20), [[785.64, 711.58]]) <= 50.0", "assert check_distance(predict_position(0.30), [[803.42, 690.97]]) <= 50.0", "assert check_distance(predict_position(0.40), [[793.98, 716.47]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 175, 119, 203 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 178.15, -182.09 ] }...
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), [[748.9, 719.04]]) <= 50.0", "assert check_distance(predict_position(0.20), [[747.8, 687.07]]) <= 50.0", "assert check_distance(predict_position(0.30), [[746.7, 654.02]]) <= 50.0", "assert check_distance(predict_position(0.40), [[729.36, 648.18]]) <= 50.0", "as...
ballsim
CD_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": [ { "color": [ 166, 208, 241 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -11.06, -304.63 ] }...
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), [[723.27, 745.27]]) <= 50.0", "assert check_distance(predict_position(0.20), [[696.53, 739.54]]) <= 50.0", "assert check_distance(predict_position(0.30), [[669.73, 732.79]]) <= 50.0", "assert check_distance(predict_position(0.40), [[643.0, 725.05]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 151, 162, 232 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -267.4, -42.3 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[717.33, 728.48]]) <= 50.0", "assert check_distance(predict_position(0.20), [[684.67, 705.96]]) <= 50.0", "assert check_distance(predict_position(0.30), [[651.92, 682.38]]) <= 50.0", "assert check_distance(predict_position(0.40), [[672.46, 711.07]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 122, 154, 253 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -326.58, -210.18 ] ...
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), [[739.48, 743.59]]) <= 50.0", "assert check_distance(predict_position(0.20), [[728.96, 736.18]]) <= 50.0", "assert check_distance(predict_position(0.30), [[718.41, 727.75]]) <= 50.0", "assert check_distance(predict_position(0.40), [[707.88, 718.34]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 215, 230, 142 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -105.21, -59.07 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[738.4, 761.32]]) <= 50.0", "assert check_distance(predict_position(0.20), [[726.81, 771.64]]) <= 50.0", "assert check_distance(predict_position(0.30), [[715.18, 780.97]]) <= 50.0", "assert check_distance(predict_position(0.40), [[703.58, 789.29]]) <= 50.0", "...
ballsim
CD_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": [ { "color": [ 230, 237, 237 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -115.85, 118.19 ] }...
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), [[751.27, 747.68]]) <= 50.0", "assert check_distance(predict_position(0.20), [[752.54, 744.37]]) <= 50.0", "assert check_distance(predict_position(0.30), [[753.81, 740.04]]) <= 50.0", "assert check_distance(predict_position(0.40), [[755.08, 734.72]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 172, 65, 217 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 12.61, -18.15 ] } ...
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), [[765.99, 763.99]]) <= 50.0", "assert check_distance(predict_position(0.20), [[781.98, 776.99]]) <= 50.0", "assert check_distance(predict_position(0.30), [[798.01, 789.01]]) <= 50.0", "assert check_distance(predict_position(0.40), [[814.0, 800.0]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 146, 188, 72 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 159.84, 144.95 ] } ...
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), [[746.04, 747.98]]) <= 50.0", "assert check_distance(predict_position(0.20), [[742.09, 744.97]]) <= 50.0", "assert check_distance(predict_position(0.30), [[738.12, 740.94]]) <= 50.0", "assert check_distance(predict_position(0.40), [[734.17, 735.92]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 56, 127, 156 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 3, "velocity": [ -39.44, -15.16 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[739.43, 750.42]]) <= 50.0", "assert check_distance(predict_position(0.20), [[728.86, 749.83]]) <= 50.0", "assert check_distance(predict_position(0.30), [[718.26, 748.25]]) <= 50.0", "assert check_distance(predict_position(0.40), [[707.69, 745.66]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 77, 143, 86 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -105.61, 9.18 ] } ]...
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), [[737.06, 761.02]]) <= 50.0", "assert check_distance(predict_position(0.20), [[724.12, 771.04]]) <= 50.0", "assert check_distance(predict_position(0.30), [[711.15, 780.07]]) <= 50.0", "assert check_distance(predict_position(0.40), [[698.21, 788.09]]) <= 50.0", ...
ballsim
CD_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": [ { "color": [ 127, 111, 77 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ -129.32, 115.19 ] } ...
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), [[772.8, 770.18]]) <= 50.0", "assert check_distance(predict_position(0.20), [[795.61, 789.36]]) <= 50.0", "assert check_distance(predict_position(0.30), [[813.9, 799.67]]) <= 50.0", "assert check_distance(predict_position(0.40), [[810.36, 771.22]]) <= 50.0", "a...
ballsim
CD_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": [ { "color": [ 146, 188, 72 ], "density": 1, "position": [ 750, 750 ], "radius": 40, "restitution": 1, "rotation_affected": false, "sides": 4, "velocity": [ 228.07, 206.83 ] } ...
50
function