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[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[728.56, 715.79]]) <= 50.0", "assert check_distance(predict_position(0.20), [[759.64, 695.02]]) <= 50.0", "assert check_distance(predict_position(0.30), [[799.41, 680.46]]) <= 50.0", "assert check_distance(predict_position(0.40), [[839.09, 665.93]]) <= 50.0", ...
ballsim
F_1_47
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 727, 758 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 15.59, -422.21 ] } ...
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), [[784.17, 727.65]]) <= 50.0", "assert check_distance(predict_position(0.20), [[752.39, 722.87]]) <= 50.0", "assert check_distance(predict_position(0.30), [[711.1, 723.53]]) <= 50.0", "assert check_distance(predict_position(0.40), [[669.91, 724.19]]) <= 50.0", "...
ballsim
F_1_1018
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 763, 763 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 211.72, -353.45 ] }...
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), [[766.36, 788.1]]) <= 50.0", "assert check_distance(predict_position(0.20), [[738.53, 837.19]]) <= 50.0", "assert check_distance(predict_position(0.30), [[710.63, 886.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[682.8, 867.58]]) <= 50.0", "a...
ballsim
F_1_288
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 756, 739 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 278.2, 490.86 ] } ...
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), [[698.87, 695.59]]) <= 50.0", "assert check_distance(predict_position(0.20), [[660.73, 651.18]]) <= 50.0", "assert check_distance(predict_position(0.30), [[643.6, 671.63]]) <= 50.0", "assert check_distance(predict_position(0.40), [[638.84, 729.98]]) <= 50.0", "...
ballsim
F_1_617
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 737, 740 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -381.35, -444.08 ] ...
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), [[830.92, 791.63]]) <= 50.0", "assert check_distance(predict_position(0.20), [[877.85, 792.27]]) <= 50.0", "assert check_distance(predict_position(0.30), [[878.29, 759.05]]) <= 50.0", "assert check_distance(predict_position(0.40), [[863.17, 714.62]]) <= 50.0", ...
ballsim
F_1_975
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 784, 791 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 469.23, 6.34 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[715.09, 671.45]]) <= 50.0", "assert check_distance(predict_position(0.20), [[732.18, 632.9]]) <= 50.0", "assert check_distance(predict_position(0.30), [[716.88, 602.66]]) <= 50.0", "assert check_distance(predict_position(0.40), [[699.79, 641.21]]) <= 50.0", "...
ballsim
F_1_583
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 698, 710 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 170.9, -385.53 ] } ...
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), [[839.15, 681.18]]) <= 50.0", "assert check_distance(predict_position(0.20), [[867.4, 682.47]]) <= 50.0", "assert check_distance(predict_position(0.30), [[826.38, 723.78]]) <= 50.0", "assert check_distance(predict_position(0.40), [[785.46, 764.99]]) <= 50.0", "...
ballsim
F_1_803
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 783, 696 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 561.46, -148.21 ] }...
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), [[700.65, 732.64]]) <= 50.0", "assert check_distance(predict_position(0.20), [[713.29, 691.29]]) <= 50.0", "assert check_distance(predict_position(0.30), [[725.97, 649.82]]) <= 50.0", "assert check_distance(predict_position(0.40), [[738.62, 608.47]]) <= 50.0", ...
ballsim
F_1_537
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 688, 774 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 126.35, -413.66 ] }...
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), [[706.76, 761.5]]) <= 50.0", "assert check_distance(predict_position(0.20), [[662.93, 801.24]]) <= 50.0", "assert check_distance(predict_position(0.30), [[650.82, 859.44]]) <= 50.0", "assert check_distance(predict_position(0.40), [[696.0, 884.45]]) <= 50.0", "a...
ballsim
F_1_700
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 751, 722 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -442.48, 394.91 ] }...
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), [[741.11, 707.26]]) <= 50.0", "assert check_distance(predict_position(0.20), [[779.22, 675.52]]) <= 50.0", "assert check_distance(predict_position(0.30), [[814.76, 643.71]]) <= 50.0", "assert check_distance(predict_position(0.40), [[776.65, 611.97]]) <= 50.0", ...
ballsim
F_1_957
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 703, 739 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 381.18, -317.46 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[797.97, 754.32]]) <= 50.0", "assert check_distance(predict_position(0.20), [[842.94, 776.52]]) <= 50.0", "assert check_distance(predict_position(0.30), [[888.02, 798.76]]) <= 50.0", "assert check_distance(predict_position(0.40), [[859.54, 778.56]]) <= 50.0", ...
ballsim
F_1_940
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 753, 712 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 449.59, 221.85 ] } ...
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), [[811.03, 699.84]]) <= 50.0", "assert check_distance(predict_position(0.20), [[868.01, 703.51]]) <= 50.0", "assert check_distance(predict_position(0.30), [[887.83, 728.71]]) <= 50.0", "assert check_distance(predict_position(0.40), [[862.51, 779.89]]) <= 50.0", ...
ballsim
F_1_800
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 752, 695 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 569.88, 36.62 ] } ...
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), [[719.41, 781.69]]) <= 50.0", "assert check_distance(predict_position(0.20), [[744.88, 821.25]]) <= 50.0", "assert check_distance(predict_position(0.30), [[770.41, 860.89]]) <= 50.0", "assert check_distance(predict_position(0.40), [[795.87, 900.45]]) <= 50.0", ...
ballsim
F_1_792
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 691, 740 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 254.62, 395.56 ] } ...
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), [[796.33, 767.4]]) <= 50.0", "assert check_distance(predict_position(0.20), [[785.66, 806.81]]) <= 50.0", "assert check_distance(predict_position(0.30), [[774.97, 846.31]]) <= 50.0", "assert check_distance(predict_position(0.40), [[764.3, 885.72]]) <= 50.0", "a...
ballsim
F_1_325
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 807, 728 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -106.71, 394.08 ] }...
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), [[804.76, 814.06]]) <= 50.0", "assert check_distance(predict_position(0.20), [[806.52, 855.13]]) <= 50.0", "assert check_distance(predict_position(0.30), [[808.28, 896.3]]) <= 50.0", "assert check_distance(predict_position(0.40), [[783.28, 891.74]]) <= 50.0", "...
ballsim
F_1_580
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 803, 773 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 17.68, 410.71 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[717.0, 719.66]]) <= 50.0", "assert check_distance(predict_position(0.20), [[661.99, 720.32]]) <= 50.0", "assert check_distance(predict_position(0.30), [[606.85, 720.98]]) <= 50.0", "assert check_distance(predict_position(0.40), [[618.94, 760.39]]) <= 50.0", "...
ballsim
F_1_967
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 772, 719 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -550.1, 6.64 ] } ...
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), [[737.67, 719.87]]) <= 50.0", "assert check_distance(predict_position(0.20), [[776.34, 739.75]]) <= 50.0", "assert check_distance(predict_position(0.30), [[815.11, 759.67]]) <= 50.0", "assert check_distance(predict_position(0.40), [[778.75, 736.24]]) <= 50.0", ...
ballsim
F_1_576
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 699, 700 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 386.69, 198.83 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[795.05, 734.16]]) <= 50.0", "assert check_distance(predict_position(0.20), [[818.09, 775.32]]) <= 50.0", "assert check_distance(predict_position(0.30), [[841.2, 816.59]]) <= 50.0", "assert check_distance(predict_position(0.40), [[862.05, 856.48]]) <= 50.0", "...
ballsim
F_1_988
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 772, 693 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 230.57, 411.56 ] } ...
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), [[750.92, 659.28]]) <= 50.0", "assert check_distance(predict_position(0.20), [[791.84, 625.57]]) <= 50.0", "assert check_distance(predict_position(0.30), [[802.96, 613.48]]) <= 50.0", "assert check_distance(predict_position(0.40), [[758.24, 641.97]]) <= 50.0", ...
ballsim
F_1_841
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 710, 693 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 409.19, -337.24 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[699.84, 668.12]]) <= 50.0", "assert check_distance(predict_position(0.20), [[662.68, 645.25]]) <= 50.0", "assert check_distance(predict_position(0.30), [[660.37, 642.49]]) <= 50.0", "assert check_distance(predict_position(0.40), [[698.75, 663.24]]) <= 50.0", ...
ballsim
F_1_370
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 737, 691 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -371.58, -228.7 ] }...
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), [[707.08, 822.72]]) <= 50.0", "assert check_distance(predict_position(0.20), [[686.15, 865.45]]) <= 50.0", "assert check_distance(predict_position(0.30), [[665.18, 894.81]]) <= 50.0", "assert check_distance(predict_position(0.40), [[644.26, 852.08]]) <= 50.0", ...
ballsim
F_1_28
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 728, 780 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -209.29, 427.34 ] }...
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), [[786.25, 769.38]]) <= 50.0", "assert check_distance(predict_position(0.20), [[796.0, 748.62]]) <= 50.0", "assert check_distance(predict_position(0.30), [[795.58, 696.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[795.17, 644.34]]) <= 50.0", "...
ballsim
F_1_727
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 756, 727 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 302.6, 423.74 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[700.62, 753.91]]) <= 50.0", "assert check_distance(predict_position(0.20), [[713.24, 710.82]]) <= 50.0", "assert check_distance(predict_position(0.30), [[719.94, 685.94]]) <= 50.0", "assert check_distance(predict_position(0.40), [[704.8, 728.23]]) <= 50.0", "...
ballsim
F_1_38
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 688, 797 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 126.15, -431.02 ] }...
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), [[852.04, 772.48]]) <= 50.0", "assert check_distance(predict_position(0.20), [[894.08, 735.95]]) <= 50.0", "assert check_distance(predict_position(0.30), [[875.49, 734.41]]) <= 50.0", "assert check_distance(predict_position(0.40), [[822.83, 752.58]]) <= 50.0", ...
ballsim
F_1_984
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 810, 809 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 420.52, -365.24 ] }...
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), [[716.3, 808.29]]) <= 50.0", "assert check_distance(predict_position(0.20), [[674.6, 835.59]]) <= 50.0", "assert check_distance(predict_position(0.30), [[637.74, 847.75]]) <= 50.0", "assert check_distance(predict_position(0.40), [[620.07, 801.14]]) <= 50.0", "a...
ballsim
F_1_955
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 758, 781 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -416.98, 273.01 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[709.16, 803.44]]) <= 50.0", "assert check_distance(predict_position(0.20), [[676.33, 827.88]]) <= 50.0", "assert check_distance(predict_position(0.30), [[643.41, 852.38]]) <= 50.0", "assert check_distance(predict_position(0.40), [[624.24, 834.72]]) <= 50.0", ...
ballsim
F_1_509
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 742, 779 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -328.43, 244.49 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[802.93, 837.82]]) <= 50.0", "assert check_distance(predict_position(0.20), [[784.15, 885.35]]) <= 50.0", "assert check_distance(predict_position(0.30), [[786.13, 868.97]]) <= 50.0", "assert check_distance(predict_position(0.40), [[798.88, 819.48]]) <= 50.0", ...
ballsim
F_1_732
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 817, 793 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ 505.61, 75.06 ] } ...
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), [[780.39, 669.0]]) <= 50.0", "assert check_distance(predict_position(0.20), [[752.78, 617.0]]) <= 50.0", "assert check_distance(predict_position(0.30), [[751.18, 645.14]]) <= 50.0", "assert check_distance(predict_position(0.40), [[759.4, 703.44]]) <= 50.0", "as...
ballsim
F_1_405
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 808, 721 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ -276.19, -520.04 ] ...
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), [[668.71, 679.56]]) <= 50.0", "assert check_distance(predict_position(0.20), [[625.43, 676.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[648.2, 672.66]]) <= 50.0", "assert check_distance(predict_position(0.40), [[691.49, 669.22]]) <= 50.0", "...
ballsim
F_1_756
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 712, 683 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 6, "velocity": [ -432.8, -34.53 ] } ...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[796.25, 746.56]]) <= 50.0", "assert check_distance(predict_position(0.20), [[827.5, 720.12]]) <= 50.0", "assert check_distance(predict_position(0.30), [[858.83, 693.61]]) <= 50.0", "assert check_distance(predict_position(0.40), [[870.72, 678.35]]) <= 50.0", "...
ballsim
F_1_718
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 765, 773 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 312.61, -264.42 ] }...
50
function
[ { "content": "## Polygon Dynamics Prediction\nIn this task, you will implement a single function predict_position(t) that computes the 2D positions of all balls at an arbitrary future time t under idealized mechanics. The function parses the scene configuration (containers, balls, and physics/meta), reconstruct...
[ "assert check_distance(predict_position(0.10), [[725.6, 771.26]]) <= 50.0", "assert check_distance(predict_position(0.20), [[740.2, 816.48]]) <= 50.0", "assert check_distance(predict_position(0.30), [[754.84, 861.8]]) <= 50.0", "assert check_distance(predict_position(0.40), [[770.52, 903.67]]) <= 50.0", "as...
ballsim
F_1_396
1
[ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5 ]
{ "balls": [ { "color": [ 100, 255, 200 ], "density": 1, "position": [ 711, 724 ], "radius": 35, "restitution": 1, "rotation_affected": false, "sides": 5, "velocity": [ 146.03, -452.04 ] }...
50
function
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