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3x3_inst9_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1).
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Step 3: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 4: Place piece C with its upper-left corner at (x, y) = (0, 0).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst9/perturbed_step/3x3_inst9perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst9/perturbed_step/3x3_inst9perturbed_step_assembly_step_4.png"], "instructions": ["", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Place piece C with its upper-left corner at (x, y) = (0, 0)."], "results": ["", "", "", "", "Over board"], "valid": false, "config": [{"index": 3, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.505830367140229, 0.6887465524089847, 0.4889962320971758], "cell_center": [1.6160254037844386, 4.5]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.1919730202293154, 0.3911833530705978, 0.8454502921977165], "cell_center": [4.848076211353316, 4.5]}, {"index": 0, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.5904030260647292, 0.1502228379867938, 0.09526647902491858], "cell_center": [1.6160254037844386, 1.5]}, {"index": 2, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.5491620960992412, 0.8847398297155372, 0.43877106489933393], "cell_center": [4.848076211353316, 1.5]}], "variant": "perturbed_step"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst8_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst8/perturbed_part/4x4_inst8perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst8/perturbed_part/4x4_inst8perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst8/perturbed_part/4x4_inst8perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst8/perturbed_part/4x4_inst8perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst8/perturbed_part/4x4_inst8perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst8/perturbed_part/4x4_inst8perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst8/perturbed_part/4x4_inst8perturbed_part_assembly_step_6.png"], "instructions": ["", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece H by about 90 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (0, 1).", "Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 2).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3)."], "results": ["", "", "", "", "", "", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.2306122657446259, 0.821394282823099, 0.040689723719669946]}, {"index": 4, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [1, 2, 3, 4], "color": [0.7918351590524052, 0.539204813032439, 0.47469005514533036]}, {"index": 1, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [0, 1, 1, 4], "color": [0.43734772906443453, 0.7140607992935755, 0.5214252728488368]}, {"index": 7, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [3, 4, 0, 3], "color": [0.7271419340809824, 0.20886182726939972, 0.6934623432492055]}, {"index": 6, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [2, 4, 3, 4], "color": [0.8441902472414256, 0.8605058939309127, 0.9086859759671123]}, {"index": 5, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.17104429060676052, 0.31991486174124684, 0.7751148512375546]}, {"index": 0, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.6104741962438478, 0.7105984792563446, 0.35533199360146306]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 2, 3], "color": [0.4434074109775199, 0.09519571468722166, 0.1803872345266927]}], "variant": "perturbed_part"} | q_only | [
"yes",
"no"
] |
|
4x4_inst15_var3_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst15/irregular_assembly/4x4_inst15irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst15/irregular_assembly/4x4_inst15irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst15/irregular_assembly/4x4_inst15irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst15/irregular_assembly/4x4_inst15irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst15/irregular_assembly/4x4_inst15irregular_assembly_step_4.png"], "instructions": ["", "Rotate piece C by about 30 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (1, 4).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (2, 2).", "Rotate piece B by about 30 degrees clockwise. Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 4).", "Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (2, 4)."], "valid": true, "config": [{"index": 2, "shape": [2, 4, 2, 4], "angle": 30, "flip": "none", "color": [0.13557809727733983, 0.7545597463569302, 0.3732963496374987]}, {"index": 0, "shape": [0, 2, 2, 4], "angle": 30, "flip": "none", "color": [0.4523784950258848, 0.5966474216563278, 0.4209460701703134]}, {"index": 1, "shape": [2, 4, 1, 2], "angle": 30, "flip": "vertical", "color": [0.38174873155304245, 0.8750272159825754, 0.7170741611088424]}, {"index": 3, "shape": [[0, 2, 0, 2], [2, 4, 0, 1]], "angle": 90, "flip": "none", "color": [0.4240667615814787, 0.7222327073498909, 0.6054485127949952]}], "variant": "irregular_assembly"} | q_only | [
"no",
"yes"
] |
|
3x3_inst25_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Step 2: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
Step 3: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (1, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst25/perturbed_step/3x3_inst25perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst25/perturbed_step/3x3_inst25perturbed_step_assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (1, 3)."], "results": ["", "", "", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.5344029398630591, 0.9891697464278887, 0.21703088700988227], "cell_center": [1.8660254037844386, 6.0]}, {"index": 2, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.04014975225319073, 0.7060719947405601, 0.7632273797026523], "cell_center": [5.598076211353316, 6.0]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.3682140433334865, 0.08970897647428389, 0.502425376239822], "cell_center": [1.8660254037844386, 2.0]}], "variant": "perturbed_step"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst2_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst2/assembly/3x3_inst2assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst2/assembly/3x3_inst2assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst2/assembly/3x3_inst2assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst2/assembly/3x3_inst2assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1)."], "valid": true, "config": [{"index": 1, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.12655138063137172, 0.33097078814054737, 0.7001299158222172], "cell_center": [4.5, 6.0]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.12351699744789202, 0.5664729497490351, 0.624512595749913], "cell_center": [1.5, 6.0]}, {"index": 2, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [2, 3, 0, 3], "color": [0.20573163102149872, 0.7110069434915763, 0.3696499764946295], "cell_center": [1.5, 2.0]}], "variant": "assembly"} | q_only | [
"yes",
"no"
] |
|
3x3_inst21_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).
Step 2: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Step 3: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (1, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst21/perturbed_step/3x3_inst21perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst21/perturbed_step/3x3_inst21perturbed_step_assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (1, 3)."], "results": ["", "", "", "Over board"], "valid": false, "config": [{"index": 1, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.6140362933411411, 0.9726156360309749, 0.23541658483033545], "cell_center": [2.0, 4.848076211353316]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.5750109852621413, 0.4718251861047962, 0.07260160357926093], "cell_center": [6.0, 4.848076211353316]}, {"index": 0, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.6165348490517608, 0.47248907820449537, 0.17394439876786527], "cell_center": [2.0, 1.6160254037844386]}], "variant": "perturbed_step"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst21_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 3).
Step 2: Rotate piece A by about 30 degrees clockwise. Place piece A with its lower-left corner at (x,y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst21/irregular_assembly/3x3_inst21irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst21/irregular_assembly/3x3_inst21irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst21/irregular_assembly/3x3_inst21irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its lower-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 1, "shape": [[0, 1, 0, 3], [1, 3, 1, 3]], "angle": 30, "flip": "none", "color": [0.6140362933411411, 0.9726156360309749, 0.23541658483033545]}, {"index": 0, "shape": [1, 3, 0, 1], "angle": 30, "flip": "none", "color": [0.6165348490517608, 0.47248907820449537, 0.17394439876786527]}], "variant": "irregular_assembly"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst25_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst25/irregular_assembly/4x4_inst25irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst25/irregular_assembly/4x4_inst25irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst25/irregular_assembly/4x4_inst25irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst25/irregular_assembly/4x4_inst25irregular_assembly_step_3.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (3, 2).", "Rotate piece B by about 90 degrees clockwise. Place piece B with its lower-left corner at (x,y) = (0, 4).", "Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 3, 4], "angle": 90, "flip": "none", "color": [0.46767221164754547, 0.4767504561709347, 0.15453668427780887]}, {"index": 1, "shape": [2, 4, 0, 2], "angle": 90, "flip": "none", "color": [0.2200316360246839, 0.16174837472242654, 0.08603563855101859]}, {"index": 2, "shape": [[0, 2, 0, 3], [2, 4, 2, 4]], "angle": 90, "flip": "none", "color": [0.25574162196635564, 0.51986659658632, 0.7369240379748156]}], "variant": "irregular_assembly"} | q_only | [
"no",
"yes"
] |
|
4x4_inst28_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 2: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Step 3: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).
Step 4: Place piece B with its upper-left corner at (x, y) = (2, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).", "Place piece B with its upper-left corner at (x, y) = (2, 4)."], "results": ["", "", "", "", "Over board"], "valid": false, "config": [{"index": 0, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.31870027151465274, 0.9820788726257209, 0.8550947462305866]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.9709321163056576, 0.9638050814682778, 0.48474678634569257]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.2615618203446515, 0.30219545939699477, 0.7851313753013661]}, {"index": 1, "angle": 30, "orig_width": 4, "orig_height": 1, "w": 3.964101615137755, "h": 2.8660254037844384, "label": "4x1", "piece": [0, 1, 2, 6], "color": [0.3088457752297562, 0.9442534400895921, 0.6030597092417792]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst10_var3_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst10/perturbed_part/4x4_inst10perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst10/perturbed_part/4x4_inst10perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst10/perturbed_part/4x4_inst10perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst10/perturbed_part/4x4_inst10perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst10/perturbed_part/4x4_inst10perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst10/perturbed_part/4x4_inst10perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst10/perturbed_part/4x4_inst10perturbed_part_assembly_step_6.png"], "instructions": ["", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 2).", "Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 1).", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3)."], "results": ["", "", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.7647943845442875, 0.521793038303051, 0.22931721031735863]}, {"index": 4, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.25836663280757977, 0.2609931063406825, 0.8704001126195765]}, {"index": 5, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.20248606624170273, 0.14080963695668047, 0.6747970029148332]}, {"index": 0, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [0, 1, 0, 2], "color": [0.985913636595184, 0.05054811512912383, 0.006039335896045883]}, {"index": 2, "angle": 30, "orig_width": 4, "orig_height": 1, "w": 3.964101615137755, "h": 2.8660254037844384, "label": "4x1", "piece": [1, 2, 0, 4], "color": [0.6583796654906042, 0.6756935160824654, 0.35383825296178073]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [1, 2, 2, 4], "color": [0.7227327947376154, 0.03867259473351192, 0.7187065902508578]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
3x3_inst18_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece A with its upper-left corner at (x, y) = (0, 3).
Step 2: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Step 3: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).
Step 4: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_4.png"], "instructions": ["", "Place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3)."], "results": ["", "", "", "", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.21606549856304313, 0.2484660411194164, 0.5092478714383866]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.17693734122658056, 0.6003726390211623, 0.25113789613439574]}, {"index": 3, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 2, 3], "color": [0.010600729886533378, 0.8500375523210303, 0.41713905454049915]}, {"index": 1, "angle": 90, "orig_width": 3, "orig_height": 2, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [0, 2, 1, 4], "color": [0.11654719097461486, 0.3924294240647598, 0.5378042635188506]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst24_var3_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst24/perturbed_part/3x3_inst24perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst24/perturbed_part/3x3_inst24perturbed_part_assembly_step_1.png"], "instructions": ["", "Place piece B with its upper-left corner at (x, y) = (0, 2).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 2).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "results": ["", "Over board", "Overlap", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 90, "orig_width": 3, "orig_height": 3, "w": 3.0, "h": 3.0, "label": "3x3", "piece": [1, 4, 0, 3], "color": [0.3668565042280403, 0.7544321568579433, 0.022670156613330716]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 2, 3], "color": [0.2714532942394723, 0.8400670830912441, 0.3547580632505397]}, {"index": 0, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.7128663156774877, 0.20321597181862183, 0.6465282105669317]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
3x3_inst23_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 1).
Step 2: Place piece D with its upper-left corner at (x, y) = (0, 1).
Step 3: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 4: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Step 5: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst23/perturbed_part/3x3_inst23perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst23/perturbed_part/3x3_inst23perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst23/perturbed_part/3x3_inst23perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst23/perturbed_part/3x3_inst23perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst23/perturbed_part/3x3_inst23perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/3x3_inst23/perturbed_part/3x3_inst23perturbed_part_assembly_step_5.png"], "instructions": ["", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 1).", "Place piece D with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3)."], "results": ["", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 4, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.33940213919128803, 0.15148877406439698, 0.5222835237729154]}, {"index": 3, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.16858591960978841, 0.08544656496515068, 0.11494367118197413]}, {"index": 0, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.6294248924659861, 0.3328326929596823, 0.09034406811739082]}, {"index": 2, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [1, 2, 1, 2], "color": [0.9963442161344365, 0.11387330077903723, 0.2799037066005946]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.02981754658528879, 0.27867823105972955, 0.046516018756367794]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst6_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
Step 2: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 3: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst6/assembly/3x3_inst6assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst6/assembly/3x3_inst6assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst6/assembly/3x3_inst6assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst6/assembly/3x3_inst6assembly_step_3.png"], "instructions": ["", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "valid": true, "config": [{"index": 2, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [2, 3, 0, 3], "color": [0.1586208137251468, 0.12393853736495797, 0.8716693278560734], "cell_center": [1.8660254037844386, 2.0]}, {"index": 1, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.6512655327908536, 0.8401929301826332, 0.8460989766654483], "cell_center": [5.598076211353316, 6.0]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.10309243167421278, 0.24076261322195902, 0.2100689922963226], "cell_center": [1.8660254037844386, 6.0]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst16_var3_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst16/irregular_assembly/4x4_inst16irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst16/irregular_assembly/4x4_inst16irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst16/irregular_assembly/4x4_inst16irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst16/irregular_assembly/4x4_inst16irregular_assembly_step_3.png"], "instructions": ["", "Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (3, 4).", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 4).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (1, 2)."], "valid": true, "config": [{"index": 2, "shape": [[0, 2, 0, 1], [2, 4, 0, 3]], "angle": 90, "flip": "none", "color": [0.10552732137168419, 0.7961088453102383, 0.6833810431216795]}, {"index": 1, "shape": [2, 4, 3, 4], "angle": 90, "flip": "none", "color": [0.6455578112263359, 0.04059609907027828, 0.9406976161672972]}, {"index": 0, "shape": [0, 2, 1, 4], "angle": 30, "flip": "none", "color": [0.2906409364547665, 0.18966064628256707, 0.16656066606481745]}], "variant": "irregular_assembly"} | q_only | [
"no",
"yes"
] |
|
3x3_inst9_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece C with its upper-left corner at (x,y) = (0, 3).
Step 2: Rotate piece B by about 30 degrees clockwise. Flip piece B horizontally. Place piece B with its lower-left corner at (x,y) = (1, 3).
Step 3: Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst9/irregular_assembly/3x3_inst9irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst9/irregular_assembly/3x3_inst9irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst9/irregular_assembly/3x3_inst9irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst9/irregular_assembly/3x3_inst9irregular_assembly_step_3.png"], "instructions": ["", "Place piece C with its upper-left corner at (x,y) = (0, 3).", "Rotate piece B by about 30 degrees clockwise. Flip piece B horizontally. Place piece B with its lower-left corner at (x,y) = (1, 3).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2)."], "valid": true, "config": [{"index": 2, "shape": [[0, 2, 1, 3], [2, 3, 2, 3]], "angle": 0, "flip": "none", "color": [0.5491620960992412, 0.8847398297155372, 0.43877106489933393]}, {"index": 1, "shape": [2, 3, 0, 2], "angle": 30, "flip": "horizontal", "color": [0.1919730202293154, 0.3911833530705978, 0.8454502921977165]}, {"index": 0, "shape": [0, 2, 0, 1], "angle": 30, "flip": "none", "color": [0.5904030260647292, 0.1502228379867938, 0.09526647902491858]}], "variant": "irregular_assembly"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst25_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 2: Place piece C with its upper-left corner at (x, y) = (0, 1).
Step 3: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst25/perturbed_part/3x3_inst25perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst25/perturbed_part/3x3_inst25perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst25/perturbed_part/3x3_inst25perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst25/perturbed_part/3x3_inst25perturbed_part_assembly_step_3.png"], "instructions": ["", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3)."], "results": ["", "", "", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.3682140433334865, 0.08970897647428389, 0.502425376239822]}, {"index": 2, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.04014975225319073, 0.7060719947405601, 0.7632273797026523]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 4, "w": 1.0, "h": 4.0, "label": "1x4", "piece": [0, 4, 1, 2], "color": [0.5344029398630591, 0.9891697464278887, 0.21703088700988227]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst23_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).
Step 2: Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4).
Step 3: Rotate piece C by about 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (1, 4).
Step 4: Place piece E with its upper-left corner at (x,y) = (3, 4).
Step 5: Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_5.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).", "Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4).", "Rotate piece C by about 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (1, 4).", "Place piece E with its upper-left corner at (x,y) = (3, 4).", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 2)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 0, 1], "angle": 90, "flip": "none", "color": [0.25815493806589496, 0.2761207462023175, 0.2168904413637872]}, {"index": 3, "shape": [2, 4, 3, 4], "angle": 90, "flip": "none", "color": [0.2475030415730417, 0.8334016992404263, 0.08403143743189156]}, {"index": 2, "shape": [0, 2, 1, 2], "angle": 60, "flip": "none", "color": [0.5175730479893074, 0.7209008156630139, 0.8339774749798693]}, {"index": 4, "shape": [[0, 2, 2, 4], [2, 4, 1, 3]], "angle": 0, "flip": "none", "color": [0.5986403619608208, 0.29107166733029166, 0.30497019909230927]}, {"index": 1, "shape": [2, 4, 0, 1], "angle": 90, "flip": "none", "color": [0.6716820917008354, 0.3773450251007877, 0.850605988039298]}], "variant": "irregular_assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst29_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 4).
Step 2: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).
Step 3: Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).
Step 4: Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 2).
Step 5: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3).
Step 6: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 7: Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 1).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst29/perturbed_part/4x4_inst29perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst29/perturbed_part/4x4_inst29perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst29/perturbed_part/4x4_inst29perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst29/perturbed_part/4x4_inst29perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst29/perturbed_part/4x4_inst29perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst29/perturbed_part/4x4_inst29perturbed_part_assembly_step_5.png"], "instructions": ["", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 4).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 1)."], "results": ["", "", "", "", "", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 2, "angle": 90, "orig_width": 1, "orig_height": 3, "w": 3.0, "h": 1.0000000000000002, "label": "3x1", "piece": [0, 3, 3, 4], "color": [0.5990452770695724, 0.8191791111282444, 0.6830708139237405]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.9543183423703964, 0.16273279693061327, 0.4214676188543469]}, {"index": 6, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.24902375373669938, 0.8341081390671868, 0.3505627692335347]}, {"index": 4, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.9906664263285482, 0.5961649832123572, 0.09772349038033212]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [1, 2, 2, 4], "color": [0.9741545288927297, 0.34746803917361757, 0.23806606283364473]}, {"index": 0, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 0, 1], "color": [0.5891291035296236, 0.3497096728096557, 0.9163403319569924]}, {"index": 5, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 0, 2], "color": [0.6488651399575482, 0.3550425908569148, 0.6083596641075071]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst19_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst19/perturbed_part/3x3_inst19perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst19/perturbed_part/3x3_inst19perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst19/perturbed_part/3x3_inst19perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst19/perturbed_part/3x3_inst19perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst19/perturbed_part/3x3_inst19perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/3x3_inst19/perturbed_part/3x3_inst19perturbed_part_assembly_step_5.png"], "instructions": ["", "Place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 1).", "Place piece C with its upper-left corner at (x, y) = (0, 1)."], "results": ["", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.8415274483290549, 0.46286374035661404, 0.8797592115225641]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.4978586459293345, 0.5976559765313394, 0.14086452934263438]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 0, 1], "color": [0.8916148044641335, 0.3781423287870871, 0.36352922300777135]}, {"index": 4, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [2, 3, 1, 3], "color": [0.568589415325386, 0.5333890295436079, 0.9833430947635076]}, {"index": 2, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [2, 3, 0, 1], "color": [0.3223902645479415, 0.8258414522110806, 0.3821764742442382]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
4x4_inst0_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst0/perturbed_part/4x4_inst0perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst0/perturbed_part/4x4_inst0perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst0/perturbed_part/4x4_inst0perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst0/perturbed_part/4x4_inst0perturbed_part_assembly_step_3.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4)."], "results": ["", "", "", "Over board", "Overlap", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.6587979169912652, 0.844257398556249, 0.15584553214536334]}, {"index": 2, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [2, 4, 0, 1], "color": [0.6408366795251199, 0.44684470588581293, 0.7884302557046777]}, {"index": 3, "angle": 60, "orig_width": 4, "orig_height": 1, "w": 2.8660254037844393, "h": 3.9641016151377544, "label": "4x1", "piece": [2, 3, 1, 5], "color": [0.4580368292258854, 0.8158453451238444, 0.9632351452602854]}, {"index": 4, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [2, 4, 3, 4], "color": [0.7898276832817946, 0.4878925327916963, 0.09710359553248094]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.25876504303189696, 0.6936112618438536, 0.14086831103305852]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
4x4_inst4_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).
Step 2: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 3: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 2).
Step 4: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).
Step 5: Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).
Step 6: Place piece F with its upper-left corner at (x, y) = (2, 1).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst4/perturbed_step/4x4_inst4perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_step/4x4_inst4perturbed_step_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_step/4x4_inst4perturbed_step_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_step/4x4_inst4perturbed_step_assembly_step_3.png"], "instructions": ["", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).", "Place piece F with its upper-left corner at (x, y) = (2, 1)."], "results": ["", "", "", "", "", "", "Over board"], "valid": false, "config": [{"index": 3, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.7873704671604125, 0.6920579729169158, 0.06370548134717746], "cell_center": [1.8660254037844386, 5.598076211353316]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.1486163972137372, 0.09099753565850044, 0.9804276633019189], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.6633151367722326, 0.05563697103144172, 0.996308043298854], "cell_center": [9.330127018922193, 5.598076211353316]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.3298784267001694, 0.4254879586883913, 0.8323218982811694], "cell_center": [1.8660254037844386, 1.8660254037844386]}, {"index": 4, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.9516920847941206, 0.09192754978443096, 0.034011632485778764], "cell_center": [5.598076211353316, 1.8660254037844386]}, {"index": 5, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.5159597562042038, 0.7332772521875923, 0.7847260582105081], "cell_center": [9.330127018922193, 1.8660254037844386]}], "variant": "perturbed_step"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst21_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst21/irregular_assembly/4x4_inst21irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst21/irregular_assembly/4x4_inst21irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst21/irregular_assembly/4x4_inst21irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 60 degrees clockwise. Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 4).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (2, 3)."], "valid": true, "config": [{"index": 1, "shape": [[3, 4, 0, 4], [0, 3, 0, 2]], "angle": 60, "flip": "horizontal", "color": [0.9226983536502249, 0.3780541609495376, 0.9449843452750281]}, {"index": 0, "shape": [0, 3, 2, 4], "angle": 30, "flip": "none", "color": [0.4773278399576071, 0.4179807901546365, 0.3658306231917948]}], "variant": "irregular_assembly"} | q_only | [
"yes",
"no"
] |
|
4x4_inst0_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece D with its upper-left corner at (x, y) = (1, 2).
Step 2: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).
Step 3: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 4: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 2).
Step 5: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst0/assembly/4x4_inst0assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst0/assembly/4x4_inst0assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst0/assembly/4x4_inst0assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst0/assembly/4x4_inst0assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst0/assembly/4x4_inst0assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst0/assembly/4x4_inst0assembly_step_5.png"], "instructions": ["", "Place piece D with its upper-left corner at (x, y) = (1, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 2).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2)."], "valid": true, "config": [{"index": 3, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 1, 3], "color": [0.4580368292258854, 0.8158453451238444, 0.9632351452602854], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.25876504303189696, 0.6936112618438536, 0.14086831103305852], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.6587979169912652, 0.844257398556249, 0.15584553214536334], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 4, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [2, 4, 3, 4], "color": [0.7898276832817946, 0.4878925327916963, 0.09710359553248094], "cell_center": [5.598076211353316, 1.8660254037844388]}, {"index": 2, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [2, 4, 0, 1], "color": [0.6408366795251199, 0.44684470588581293, 0.7884302557046777], "cell_center": [9.330127018922195, 5.598076211353316]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst11_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).
Step 2: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 1).
Step 3: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst11/perturbed_step/4x4_inst11perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst11/perturbed_step/4x4_inst11perturbed_step_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst11/perturbed_step/4x4_inst11perturbed_step_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 1).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4)."], "results": ["", "", "Over board", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.2617125427976732, 0.3180100977057472, 0.9938777587600973], "cell_center": [2.366025403784439, 8.196152422706632]}, {"index": 2, "angle": 60, "orig_width": 4, "orig_height": 2, "w": 3.7320508075688776, "h": 4.464101615137754, "label": "4x2", "piece": [2, 4, 0, 4], "color": [0.21016152453789094, 0.9415963033779045, 0.8255857971856693], "cell_center": [7.098076211353316, 8.196152422706632]}, {"index": 0, "angle": 30, "orig_width": 3, "orig_height": 2, "w": 3.598076211353316, "h": 3.232050807568877, "label": "3x2", "piece": [0, 2, 0, 3], "color": [0.590194494564307, 0.8146086514121477, 0.17186877412793822], "cell_center": [2.366025403784439, 2.732050807568877]}], "variant": "perturbed_step"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst1_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_6.png"], "instructions": ["", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 1)."], "valid": true, "config": [{"index": 3, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 1, 4], "color": [0.29597082072739067, 0.44809929338734733, 0.6881087446134356], "cell_center": [2.0, 2.049038105676658]}, {"index": 4, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 0, 2], "color": [0.13799246151005418, 0.8543080443892493, 0.24339036992847662], "cell_center": [6.0, 2.049038105676658]}, {"index": 0, "angle": 90, "orig_width": 1, "orig_height": 3, "w": 3.0, "h": 1.0000000000000002, "label": "3x1", "piece": [0, 3, 0, 1], "color": [0.33356625224597825, 0.8251586315847872, 0.9977506524222988], "cell_center": [2.0, 6.147114317029974]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 1, 2], "color": [0.2708162857112263, 0.34824512961383103, 0.6894047673252708], "cell_center": [6.0, 6.147114317029974]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.37595342334832693, 0.6861020575940404, 0.15051798252162207], "cell_center": [10.0, 6.147114317029974]}, {"index": 5, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 2, 4], "color": [0.269630185073346, 0.43741849728502513, 0.119444847905815], "cell_center": [10.0, 2.049038105676658]}], "variant": "assembly"} | q_only | [
"yes",
"no"
] |
|
3x3_inst15_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 3: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).
Step 4: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst15/assembly/3x3_inst15assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst15/assembly/3x3_inst15assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst15/assembly/3x3_inst15assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst15/assembly/3x3_inst15assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst15/assembly/3x3_inst15assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2)."], "valid": true, "config": [{"index": 0, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 0, 2], "color": [0.910380989877349, 0.7228160858320822, 0.7740539608931295], "cell_center": [1.5, 4.5]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 2, 3], "color": [0.5860967147337509, 0.19822060430604183, 0.7985991759604419], "cell_center": [4.5, 4.5]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.2824781693183691, 0.4391634637062619, 0.8730414057719783], "cell_center": [4.5, 1.5]}, {"index": 2, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 0, 1], "color": [0.678651528421504, 0.2548722306191047, 0.7768283693786211], "cell_center": [1.5, 1.5]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst15_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).
Step 3: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).
Step 4: Place piece C with its upper-left corner at (x, y) = (0, 2).
Step 5: Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst15/assembly/4x4_inst15assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst15/assembly/4x4_inst15assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst15/assembly/4x4_inst15assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst15/assembly/4x4_inst15assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst15/assembly/4x4_inst15assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst15/assembly/4x4_inst15assembly_step_5.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).", "Place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 2)."], "valid": true, "config": [{"index": 0, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.4523784950258848, 0.5966474216563278, 0.4209460701703134], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.38174873155304245, 0.8750272159825754, 0.7170741611088424], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 3, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [2, 4, 1, 2], "color": [0.4240667615814787, 0.7222327073498909, 0.6054485127949952], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 2, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [2, 4, 0, 1], "color": [0.13557809727733983, 0.7545597463569302, 0.3732963496374987], "cell_center": [9.330127018922195, 5.598076211353316]}, {"index": 4, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.29106684612422073, 0.3972090277120738, 0.0043544742627775745], "cell_center": [5.598076211353316, 1.8660254037844388]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst29_var3_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst29/irregular_assembly/3x3_inst29irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst29/irregular_assembly/3x3_inst29irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst29/irregular_assembly/3x3_inst29irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece A by about 30 degrees clockwise. Flip piece A vertically. Place piece A with its lower-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 1, "shape": [[0, 1, 0, 3], [1, 3, 2, 3]], "angle": 30, "flip": "none", "color": [0.5587780227736063, 0.37341366971430356, 0.25392528265228476]}, {"index": 0, "shape": [1, 3, 0, 2], "angle": 30, "flip": "vertical", "color": [0.16908974540263644, 0.9028171146233334, 0.20691211710600244]}], "variant": "irregular_assembly"} | q_only | [
"no",
"yes"
] |
|
4x4_inst7_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst7/perturbed_part/4x4_inst7perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst7/perturbed_part/4x4_inst7perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst7/perturbed_part/4x4_inst7perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst7/perturbed_part/4x4_inst7perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst7/perturbed_part/4x4_inst7perturbed_part_assembly_step_4.png"], "instructions": ["", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4)."], "results": ["", "", "", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.0038464181562460897, 0.5456025205471018, 0.8316288348193334]}, {"index": 4, "angle": 90, "orig_width": 3, "orig_height": 2, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [2, 4, 1, 4], "color": [0.982403612127845, 0.027469345943991863, 0.7361933309757964]}, {"index": 3, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [2, 3, 0, 1], "color": [0.19476840970141396, 0.68707522398946, 0.14366332946109706]}, {"index": 2, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [2, 4, 0, 1], "color": [0.18526689525137774, 0.6222333081082303, 0.3116245006929087]}, {"index": 1, "angle": 90, "orig_width": 3, "orig_height": 2, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [0, 2, 1, 4], "color": [0.5883107006707854, 0.8743059263428191, 0.51136848550568]}], "variant": "perturbed_part"} | q_only | [
"yes",
"no"
] |
|
4x4_inst27_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst27/irregular_assembly/4x4_inst27irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst27/irregular_assembly/4x4_inst27irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst27/irregular_assembly/4x4_inst27irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (1, 3).", "Rotate piece B by about 60 degrees clockwise. Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 0, "shape": [0, 3, 1, 4], "angle": 90, "flip": "none", "color": [0.7760512609454071, 0.23147233408575651, 0.09518146844402253]}, {"index": 1, "shape": [[3, 4, 0, 4], [0, 3, 0, 1]], "angle": 60, "flip": "vertical", "color": [0.3199404465463558, 0.3203558624653322, 0.7504705648122028]}], "variant": "irregular_assembly"} | q_only | [
"yes",
"no"
] |
|
3x3_inst20_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst20/irregular_assembly/3x3_inst20irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst20/irregular_assembly/3x3_inst20irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst20/irregular_assembly/3x3_inst20irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst20/irregular_assembly/3x3_inst20irregular_assembly_step_3.png"], "instructions": ["", " Flip piece B vertically. Place piece B with its lower-left corner at (x,y) = (0, 3).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (2, 2).", "Rotate piece C by about 30 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 1, "shape": [2, 3, 0, 1], "angle": 0, "flip": "vertical", "color": [0.2188625865501932, 0.3982672040489632, 0.24949930857585112]}, {"index": 0, "shape": [0, 2, 2, 3], "angle": 30, "flip": "none", "color": [0.21514705147792568, 0.4919973529353018, 0.7207131866942781]}, {"index": 2, "shape": [[0, 2, 0, 2], [2, 3, 1, 3]], "angle": 30, "flip": "none", "color": [0.11933639623212677, 0.6534312470367666, 0.34450218937820265]}], "variant": "irregular_assembly"} | q_only | [
"no",
"yes"
] |
|
4x4_inst9_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).
Step 2: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 3).
Step 3: Place piece A with its upper-left corner at (x, y) = (1, 4).
Step 4: Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).
Step 5: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).
Step 6: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst9/perturbed_step/4x4_inst9perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_step/4x4_inst9perturbed_step_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_step/4x4_inst9perturbed_step_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_step/4x4_inst9perturbed_step_assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 3).", "Place piece A with its upper-left corner at (x, y) = (1, 4).", "Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 3)."], "results": ["", "", "", "Overlap", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [0, 1, 3, 4], "color": [0.6391948573912559, 0.6949802608182306, 0.21433155875468102], "cell_center": [2.049038105676658, 6.0]}, {"index": 3, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 1, 2], "color": [0.08568095338134385, 0.6682948586606138, 0.6055837889275328], "cell_center": [6.147114317029974, 6.0]}, {"index": 0, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.3767840683317317, 0.9804349782325034, 0.6211477157651492], "cell_center": [10.24519052838329, 6.0]}, {"index": 5, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [3, 4, 1, 4], "color": [0.28340804127686015, 0.9232672116663543, 0.8311037648416407], "cell_center": [2.049038105676658, 2.0]}, {"index": 2, "angle": 60, "orig_width": 1, "orig_height": 3, "w": 3.098076211353316, "h": 2.3660254037844393, "label": "1x3", "piece": [1, 4, 0, 1], "color": [0.32195261495336813, 0.6322591244083937, 0.7762269388570919], "cell_center": [6.147114317029974, 2.0]}, {"index": 4, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.726034657723742, 0.14100632109447608, 0.1515951180124674], "cell_center": [10.24519052838329, 2.0]}], "variant": "perturbed_step"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst2_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece B with its upper-left corner at (x, y) = (2, 4).
Step 2: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).
Step 3: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 4: Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).
Step 5: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).
Step 6: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).
Step 7: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst2/perturbed_step/4x4_inst2perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_step/4x4_inst2perturbed_step_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_step/4x4_inst2perturbed_step_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_step/4x4_inst2perturbed_step_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_step/4x4_inst2perturbed_step_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_step/4x4_inst2perturbed_step_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_step/4x4_inst2perturbed_step_assembly_step_6.png"], "instructions": ["", "Place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1)."], "results": ["", "", "", "", "", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.6569014157009531, 0.2313466861102611, 0.010872417072518958], "cell_center": [1.8660254037844388, 9.330127018922193]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.5214964160883804, 0.14197386071806894, 0.6150886066496369], "cell_center": [5.598076211353316, 9.330127018922193]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.4909418154450287, 0.8295599853485568, 0.8848537987406436], "cell_center": [9.330127018922195, 9.330127018922193]}, {"index": 5, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [3, 4, 1, 2], "color": [0.09465920484769241, 0.5230886510184202, 0.29886511441981023], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 3, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.6355020062380002, 0.8225754659177894, 0.9905175449642316], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 4, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [3, 4, 0, 1], "color": [0.4062185845144768, 0.82080352213676, 0.12435592468962808], "cell_center": [9.330127018922195, 5.598076211353316]}, {"index": 6, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.3036862549445286, 0.2573646344972037, 0.48565653763236827], "cell_center": [1.8660254037844388, 1.8660254037844388]}], "variant": "perturbed_step"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst9_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Step 2: Place piece A with its upper-left corner at (x, y) = (0, 3).
Step 3: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Step 4: Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 1).
Step 5: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst9/perturbed_part/3x3_inst9perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst9/perturbed_part/3x3_inst9perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst9/perturbed_part/3x3_inst9perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst9/perturbed_part/3x3_inst9perturbed_part_assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).", "Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 1).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1)."], "results": ["", "", "", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.1919730202293154, 0.3911833530705978, 0.8454502921977165]}, {"index": 0, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 0, 1], "color": [0.5904030260647292, 0.1502228379867938, 0.09526647902491858]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [1, 2, 1, 3], "color": [0.5491620960992412, 0.8847398297155372, 0.43877106489933393]}, {"index": 4, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.050666190966119684, 0.2152661154923936, 0.41855299588055594]}, {"index": 3, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.505830367140229, 0.6887465524089847, 0.4889962320971758]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst7_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 2: Place piece C with its upper-left corner at (x, y) = (0, 1).
Step 3: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1).
Step 4: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst7/perturbed_step/3x3_inst7perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst7/perturbed_step/3x3_inst7perturbed_step_assembly_step_4.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 2)."], "results": ["", "", "", "", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.8890167433678454, 0.8396728997385756, 0.6423378141699023], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 2, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.5214492117729866, 0.6446553823041661, 0.06936597519800336], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 3, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.10779093077082336, 0.9663519770282707, 0.08719575355451004], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 0, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.73843051684633, 0.04893125943557952, 0.5781887360388885], "cell_center": [5.598076211353316, 1.8660254037844388]}], "variant": "perturbed_step"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst13_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Step 2: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).
Step 3: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Step 4: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst13/perturbed_part/3x3_inst13perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst13/perturbed_part/3x3_inst13perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst13/perturbed_part/3x3_inst13perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst13/perturbed_part/3x3_inst13perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst13/perturbed_part/3x3_inst13perturbed_part_assembly_step_4.png"], "instructions": ["", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "results": ["", "", "", "", "Overlap"], "valid": false, "config": [{"index": 2, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.45262734202882937, 0.5605337595606488, 0.8098850090862545]}, {"index": 3, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.4122246781876865, 0.46099712359888834, 0.029808170513958232]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 1, 3], "color": [0.4167436538845991, 0.3774938048911445, 0.3463506332117947]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.5025023117046901, 0.20679137664564085, 0.35368716180716764]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst28_var3_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst28/assembly/3x3_inst28assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst28/assembly/3x3_inst28assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst28/assembly/3x3_inst28assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst28/assembly/3x3_inst28assembly_step_3.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2)."], "valid": true, "config": [{"index": 0, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [0, 1, 0, 3], "color": [0.24874432956275316, 0.10459104781785566, 0.290015710844736], "cell_center": [1.8660254037844388, 6.0]}, {"index": 2, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 2, 3], "color": [0.08038459038445755, 0.7628332166932088, 0.014888669554417922], "cell_center": [1.8660254037844388, 2.0]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.5629568688202203, 0.21307617484959096, 0.3881604215827764], "cell_center": [5.598076211353316, 6.0]}], "variant": "assembly"} | q_only | [
"yes",
"no"
] |
|
3x3_inst29_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).
Step 2: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 2).
Step 3: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst29/perturbed_part/3x3_inst29perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst29/perturbed_part/3x3_inst29perturbed_part_assembly_step_1.png"], "instructions": ["", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 2).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "results": ["", "Over board", "Overlap", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 30, "orig_width": 4, "orig_height": 1, "w": 3.964101615137755, "h": 2.8660254037844384, "label": "4x1", "piece": [1, 2, 0, 4], "color": [0.5587780227736063, 0.37341366971430356, 0.25392528265228476]}, {"index": 2, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 2, 3], "color": [0.45969448450814654, 0.03567904341063466, 0.6125989178735066]}, {"index": 0, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [0, 1, 0, 3], "color": [0.16908974540263644, 0.9028171146233334, 0.20691211710600244]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst18_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst18/perturbed_part/3x3_inst18perturbed_part_assembly_step_4.png"], "instructions": ["", "Place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3)."], "results": ["", "", "", "", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.21606549856304313, 0.2484660411194164, 0.5092478714383866]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.17693734122658056, 0.6003726390211623, 0.25113789613439574]}, {"index": 3, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 2, 3], "color": [0.010600729886533378, 0.8500375523210303, 0.41713905454049915]}, {"index": 1, "angle": 90, "orig_width": 3, "orig_height": 2, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [0, 2, 1, 4], "color": [0.11654719097461486, 0.3924294240647598, 0.5378042635188506]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
3x3_inst14_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst14/irregular_assembly/3x3_inst14irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst14/irregular_assembly/3x3_inst14irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst14/irregular_assembly/3x3_inst14irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece A by about 30 degrees clockwise. Flip piece A horizontally. Place piece A with its lower-left corner at (x,y) = (0, 3).", "Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 0, "shape": [1, 3, 0, 1], "angle": 30, "flip": "horizontal", "color": [0.6986416373362043, 0.39103013274436993, 0.7338256355090964]}, {"index": 1, "shape": [[0, 1, 0, 3], [1, 3, 1, 3]], "angle": 30, "flip": "none", "color": [0.7375466272024475, 0.7958785429353309, 0.9602750500929624]}], "variant": "irregular_assembly"} | q_only | [
"yes",
"no"
] |
|
3x3_inst5_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1).
Step 2: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 3: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 4: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_4.png"], "instructions": ["", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2)."], "results": ["", "", "", "", "Overlap"], "valid": false, "config": [{"index": 3, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.6193928056663489, 0.5318876761094359, 0.3265874020213657]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.07357053851548412, 0.9733870202483494, 0.6618987325140707]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 2, 3], "color": [0.445111390892756, 0.16653115882702152, 0.8213500363599643]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 1, 2], "color": [0.2058943173019785, 0.3076399768831918, 0.506910472590548]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst5_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 3).
Step 2: Place piece B with its upper-left corner at (x, y) = (1, 4).
Step 3: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (0, 1).
Step 4: Place piece D with its upper-left corner at (x, y) = (0, 3).
Step 5: Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 3).
Step 6: Rotate piece H by about 90 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (2, 1).
Step 7: Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 3).
Step 8: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst5/perturbed_step/4x4_inst5perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst5/perturbed_step/4x4_inst5perturbed_step_assembly_step_1.png"], "instructions": ["", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 3).", "Place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (0, 1).", "Place piece D with its upper-left corner at (x, y) = (0, 3).", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 3).", "Rotate piece H by about 90 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (2, 1).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 3).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4)."], "results": ["", "", "", "", "", "Over board", "", "", "Over board"], "valid": false, "config": [{"index": 2, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.6297825243848936, 0.49093541919773, 0.6669745716275061], "cell_center": [1.8660254037844388, 9.330127018922193]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 1, 2], "color": [0.26612579155187954, 0.07055091126826107, 0.08305000539925333], "cell_center": [5.598076211353316, 9.330127018922193]}, {"index": 6, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.6662381683077349, 0.4371576487638136, 0.8074652784518175], "cell_center": [9.330127018922195, 9.330127018922193]}, {"index": 3, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.9240533250960073, 0.9819349600532725, 0.6747134014128692], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 5, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.5397844496723473, 0.05872496894813528, 0.15399180068950846], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 7, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.48160700821724445, 0.60931785491179, 0.22992601917545952], "cell_center": [9.330127018922195, 5.598076211353316]}, {"index": 4, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "1x2", "piece": [1, 3, 1, 2], "color": [0.22291133685432907, 0.48383465028816663, 0.5699125213630748], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.7349991584173213, 0.6699660472482647, 0.43315305080703437], "cell_center": [5.598076211353316, 1.8660254037844388]}], "variant": "perturbed_step"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst17_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 4).
Step 2: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 2).
Step 3: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 4: Place piece B with its upper-left corner at (x, y) = (1, 4).
Step 5: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst17/perturbed_part/4x4_inst17perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst17/perturbed_part/4x4_inst17perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst17/perturbed_part/4x4_inst17perturbed_part_assembly_step_2.png"], "instructions": ["", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 2).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2)."], "results": ["", "", "Over board", "Over board", "Over board", "Over board"], "valid": false, "config": [{"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.8024254343287276, 0.5212933415712149, 0.6519422431117098]}, {"index": 4, "angle": 30, "orig_width": 4, "orig_height": 1, "w": 3.964101615137755, "h": 2.8660254037844384, "label": "4x1", "piece": [2, 3, 2, 6], "color": [0.09830256447954788, 0.3396191061459677, 0.9867290956314256]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.3209357623770135, 0.4919116750200321, 0.05254088833875614]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.06114350981419958, 0.30119771230277814, 0.1293300317914955]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.9578521580074713, 0.8815921980787345, 0.19295089472973515]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst27_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece C with its upper-left corner at (x, y) = (0, 1).
Step 2: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 3: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst27/assembly/4x4_inst27assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst27/assembly/4x4_inst27assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst27/assembly/4x4_inst27assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst27/assembly/4x4_inst27assembly_step_3.png"], "instructions": ["", "Place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4)."], "valid": true, "config": [{"index": 2, "angle": 0, "orig_width": 4, "orig_height": 1, "w": 4.0, "h": 1.0, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.24455951613028104, 0.36845158724774063, 0.3057028634543797], "cell_center": [2.549038105676658, 2.549038105676658]}, {"index": 0, "angle": 90, "orig_width": 1, "orig_height": 3, "w": 3.0, "h": 1.0000000000000002, "label": "3x1", "piece": [0, 3, 0, 1], "color": [0.7760512609454071, 0.23147233408575651, 0.09518146844402253], "cell_center": [2.549038105676658, 7.647114317029974]}, {"index": 1, "angle": 30, "orig_width": 3, "orig_height": 3, "w": 4.098076211353316, "h": 4.098076211353316, "label": "3x3", "piece": [0, 3, 1, 4], "color": [0.3199404465463558, 0.3203558624653322, 0.7504705648122028], "cell_center": [7.647114317029974, 7.647114317029974]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst23_var0_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst23/irregular_assembly/4x4_inst23irregular_assembly_step_5.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).", "Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4).", "Rotate piece C by about 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (1, 4).", "Place piece E with its upper-left corner at (x,y) = (3, 4).", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 2)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 0, 1], "angle": 90, "flip": "none", "color": [0.25815493806589496, 0.2761207462023175, 0.2168904413637872]}, {"index": 3, "shape": [2, 4, 3, 4], "angle": 90, "flip": "none", "color": [0.2475030415730417, 0.8334016992404263, 0.08403143743189156]}, {"index": 2, "shape": [0, 2, 1, 2], "angle": 60, "flip": "none", "color": [0.5175730479893074, 0.7209008156630139, 0.8339774749798693]}, {"index": 4, "shape": [[0, 2, 2, 4], [2, 4, 1, 3]], "angle": 0, "flip": "none", "color": [0.5986403619608208, 0.29107166733029166, 0.30497019909230927]}, {"index": 1, "shape": [2, 4, 0, 1], "angle": 90, "flip": "none", "color": [0.6716820917008354, 0.3773450251007877, 0.850605988039298]}], "variant": "irregular_assembly"} | q_only | [
"yes",
"no"
] |
|
4x4_inst18_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).
Step 2: Place piece G with its upper-left corner at (x, y) = (2, 1).
Step 3: Place piece A with its upper-left corner at (x, y) = (0, 4).
Step 4: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3).
Step 5: Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 1).
Step 6: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).
Step 7: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst18/perturbed_part/4x4_inst18perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst18/perturbed_part/4x4_inst18perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst18/perturbed_part/4x4_inst18perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst18/perturbed_part/4x4_inst18perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst18/perturbed_part/4x4_inst18perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst18/perturbed_part/4x4_inst18perturbed_part_assembly_step_5.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Place piece G with its upper-left corner at (x, y) = (2, 1).", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3).", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 1).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3)."], "results": ["", "", "", "", "", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [0, 1, 1, 4], "color": [0.9869982514704612, 0.32281939344324206, 0.8306345483609714]}, {"index": 6, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [3, 4, 2, 3], "color": [0.20448500268098213, 0.7476839464016675, 0.4118171950672438]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.1356106596338602, 0.9006559215808044, 0.9720273788893483]}, {"index": 4, "angle": 60, "orig_width": 1, "orig_height": 3, "w": 3.098076211353316, "h": 2.3660254037844393, "label": "1x3", "piece": [1, 4, 3, 4], "color": [0.19883839915334045, 0.19820963751580922, 0.4332106091628175]}, {"index": 5, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [3, 4, 0, 3], "color": [0.6952002937385011, 0.5451393144090627, 0.3598069443124001]}, {"index": 2, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.3429060563864845, 0.9039302662351224, 0.4769621469089005]}, {"index": 3, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 2, 3], "color": [0.8949499330157833, 0.9775042345165299, 0.9215521124499638]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst25_var0_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst25/irregular_assembly/3x3_inst25irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst25/irregular_assembly/3x3_inst25irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst25/irregular_assembly/3x3_inst25irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 60 degrees clockwise. Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (1, 2)."], "valid": true, "config": [{"index": 1, "shape": [[2, 3, 0, 3], [0, 2, 0, 1]], "angle": 60, "flip": "horizontal", "color": [0.5344029398630591, 0.9891697464278887, 0.21703088700988227]}, {"index": 0, "shape": [0, 2, 1, 3], "angle": 90, "flip": "none", "color": [0.3682140433334865, 0.08970897647428389, 0.502425376239822]}], "variant": "irregular_assembly"} | q_only | [
"yes",
"no"
] |
|
4x4_inst2_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).
Step 2: Place piece H with its upper-left corner at (x, y) = (2, 1).
Step 3: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).
Step 4: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 5: Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 2).
Step 6: Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (1, 1).
Step 7: Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 1).
Step 8: Place piece D with its upper-left corner at (x, y) = (3, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst2/perturbed_part/4x4_inst2perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_part/4x4_inst2perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_part/4x4_inst2perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_part/4x4_inst2perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_part/4x4_inst2perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_part/4x4_inst2perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_part/4x4_inst2perturbed_part_assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_part/4x4_inst2perturbed_part_assembly_step_7.png", "output_dir/Tangram_puzzle/4x4_inst2/perturbed_part/4x4_inst2perturbed_part_assembly_step_8.png"], "instructions": ["", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).", "Place piece H with its upper-left corner at (x, y) = (2, 1).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 2).", "Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (1, 1).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 1).", "Place piece D with its upper-left corner at (x, y) = (3, 3)."], "results": ["", "", "", "", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.5214964160883804, 0.14197386071806894, 0.6150886066496369]}, {"index": 7, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.721712521659001, 0.5502868171684623, 0.05159784618934715]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.6569014157009531, 0.2313466861102611, 0.010872417072518958]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.4909418154450287, 0.8295599853485568, 0.8848537987406436]}, {"index": 4, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [2, 3, 0, 2], "color": [0.4062185845144768, 0.82080352213676, 0.12435592468962808]}, {"index": 6, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [3, 4, 1, 2], "color": [0.3036862549445286, 0.2573646344972037, 0.48565653763236827]}, {"index": 5, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [3, 4, 0, 1], "color": [0.09465920484769241, 0.5230886510184202, 0.29886511441981023]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 3, 4], "color": [0.6355020062380002, 0.8225754659177894, 0.9905175449642316]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst10_var0_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst10/perturbed_part/3x3_inst10perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst10/perturbed_part/3x3_inst10perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst10/perturbed_part/3x3_inst10perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst10/perturbed_part/3x3_inst10perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst10/perturbed_part/3x3_inst10perturbed_part_assembly_step_4.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 1).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 1).", "Place piece C with its upper-left corner at (x, y) = (0, 1)."], "results": ["", "", "", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.08300347331815172, 0.9129260346492023, 0.030327958859172166]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [2, 3, 1, 3], "color": [0.6956976668525877, 0.5614724968196306, 0.20881351979388718]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.8361559109194318, 0.10012585524596118, 0.741018254845187]}, {"index": 4, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.5852133457184661, 0.9478767577739693, 0.225765369032627]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [2, 3, 0, 1], "color": [0.3863759873563767, 0.3560346662754732, 0.9984770026551721]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
3x3_inst27_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst27/assembly/3x3_inst27assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst27/assembly/3x3_inst27assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst27/assembly/3x3_inst27assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst27/assembly/3x3_inst27assembly_step_3.png"], "instructions": ["", "Place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3)."], "valid": true, "config": [{"index": 0, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.17203857926331845, 0.4970169511811482, 0.5662534091810973], "cell_center": [1.8660254037844386, 6.0]}, {"index": 2, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [2, 3, 0, 3], "color": [0.7341641971685425, 0.29244769077896215, 0.1293027898421113], "cell_center": [1.8660254037844386, 2.0]}, {"index": 1, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.604000330200972, 0.6770340247405751, 0.5551674092714912], "cell_center": [5.598076211353316, 6.0]}], "variant": "assembly"} | q_only | [
"no",
"yes"
] |
|
4x4_inst17_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_5.png"], "instructions": ["", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 2).", "Place piece C with its upper-left corner at (x, y) = (3, 4)."], "valid": true, "config": [{"index": 3, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.9578521580074713, 0.8815921980787345, 0.19295089472973515], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.3209357623770135, 0.4919116750200321, 0.05254088833875614], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.06114350981419958, 0.30119771230277814, 0.1293300317914955], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 4, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.09830256447954788, 0.3396191061459677, 0.9867290956314256], "cell_center": [5.598076211353316, 1.8660254037844388]}, {"index": 2, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.8024254343287276, 0.5212933415712149, 0.6519422431117098], "cell_center": [9.330127018922195, 5.598076211353316]}], "variant": "assembly"} | q_only | [
"yes",
"no"
] |
|
4x4_inst13_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 2: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).
Step 3: Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 1).
Step 4: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3).
Step 5: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).
Step 6: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst13/assembly/4x4_inst13assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst13/assembly/4x4_inst13assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst13/assembly/4x4_inst13assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst13/assembly/4x4_inst13assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst13/assembly/4x4_inst13assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst13/assembly/4x4_inst13assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst13/assembly/4x4_inst13assembly_step_6.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).", "Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 1).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4)."], "valid": true, "config": [{"index": 0, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 0, 2], "color": [0.08091420612656075, 0.9562651224873678, 0.23051757819828445], "cell_center": [1.8660254037844386, 5.598076211353316]}, {"index": 4, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.7966424419178151, 0.9680914967906663, 0.866954291693426], "cell_center": [5.598076211353316, 1.8660254037844386]}, {"index": 5, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.29384131363027277, 0.3163325797949277, 0.007829642754902055], "cell_center": [9.330127018922193, 1.8660254037844386]}, {"index": 3, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.13663939469484443, 0.7631849020052232, 0.6462586504062603], "cell_center": [1.8660254037844386, 1.8660254037844386]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.2805251122858946, 0.9715538225079458, 0.3810974789090861], "cell_center": [9.330127018922193, 5.598076211353316]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.9400983497113293, 0.32605090347507637, 0.5045925067978794], "cell_center": [5.598076211353316, 5.598076211353316]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst13_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 2: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Step 3: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Step 4: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst13/assembly/3x3_inst13assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst13/assembly/3x3_inst13assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst13/assembly/3x3_inst13assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst13/assembly/3x3_inst13assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst13/assembly/3x3_inst13assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2)."], "valid": true, "config": [{"index": 0, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.5025023117046901, 0.20679137664564085, 0.35368716180716764], "cell_center": [1.8660254037844386, 5.598076211353316]}, {"index": 1, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [0, 1, 1, 3], "color": [0.4167436538845991, 0.3774938048911445, 0.3463506332117947], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.45262734202882937, 0.5605337595606488, 0.8098850090862545], "cell_center": [1.8660254037844386, 1.8660254037844386]}, {"index": 3, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.4122246781876865, 0.46099712359888834, 0.029808170513958232], "cell_center": [5.598076211353316, 1.8660254037844386]}], "variant": "assembly"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst9_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst9/perturbed_part/4x4_inst9perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_part/4x4_inst9perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_part/4x4_inst9perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_part/4x4_inst9perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_part/4x4_inst9perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_part/4x4_inst9perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_part/4x4_inst9perturbed_part_assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst9/perturbed_part/4x4_inst9perturbed_part_assembly_step_7.png"], "instructions": ["", "Place piece E with its upper-left corner at (x, y) = (2, 3).", "Rotate piece G by about 60 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 3).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).", "Place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1)."], "results": ["", "", "", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 4, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.726034657723742, 0.14100632109447608, 0.1515951180124674]}, {"index": 6, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 2, 4], "color": [0.778064233634106, 0.49491432744069963, 0.1366699960458858]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 1, 2], "color": [0.08568095338134385, 0.6682948586606138, 0.6055837889275328]}, {"index": 0, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.3767840683317317, 0.9804349782325034, 0.6211477157651492]}, {"index": 1, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [0, 1, 3, 4], "color": [0.6391948573912559, 0.6949802608182306, 0.21433155875468102]}, {"index": 2, "angle": 60, "orig_width": 1, "orig_height": 3, "w": 3.098076211353316, "h": 2.3660254037844393, "label": "1x3", "piece": [1, 4, 0, 1], "color": [0.32195261495336813, 0.6322591244083937, 0.7762269388570919]}, {"index": 5, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [3, 4, 1, 4], "color": [0.28340804127686015, 0.9232672116663543, 0.8311037648416407]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
4x4_inst1_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).
Step 2: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).
Step 3: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).
Step 4: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4).
Step 5: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).
Step 6: Place piece F with its upper-left corner at (x, y) = (0, 1).
Step 7: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_7.png"], "instructions": ["", "Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Place piece F with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4)."], "results": ["", "", "", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 4, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [2, 3, 1, 4], "color": [0.13799246151005418, 0.8543080443892493, 0.24339036992847662]}, {"index": 3, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.29597082072739067, 0.44809929338734733, 0.6881087446134356]}, {"index": 6, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 2, 4], "color": [0.42310099437189364, 0.8646275408342275, 0.7782290354645087]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.37595342334832693, 0.6861020575940404, 0.15051798252162207]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 1, 2], "color": [0.2708162857112263, 0.34824512961383103, 0.6894047673252708]}, {"index": 5, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.269630185073346, 0.43741849728502513, 0.119444847905815]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 3, "w": 2.3660254037844384, "h": 3.098076211353316, "label": "1x3", "piece": [0, 3, 0, 1], "color": [0.33356625224597825, 0.8251586315847872, 0.9977506524222988]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst2_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece E with its upper-left corner at (x, y) = (0, 1).
Step 2: Place piece B with its upper-left corner at (x, y) = (2, 4).
Step 3: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).
Step 4: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).
Step 5: Place piece A with its upper-left corner at (x, y) = (0, 4).
Step 6: Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).
Step 7: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst2/assembly/4x4_inst2assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst2/assembly/4x4_inst2assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst2/assembly/4x4_inst2assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst2/assembly/4x4_inst2assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst2/assembly/4x4_inst2assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst2/assembly/4x4_inst2assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst2/assembly/4x4_inst2assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst2/assembly/4x4_inst2assembly_step_7.png"], "instructions": ["", "Place piece E with its upper-left corner at (x, y) = (0, 1).", "Place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3)."], "valid": true, "config": [{"index": 4, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [3, 4, 0, 1], "color": [0.4062185845144768, 0.82080352213676, 0.12435592468962808], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.6569014157009531, 0.2313466861102611, 0.010872417072518958], "cell_center": [5.598076211353316, 9.330127018922193]}, {"index": 6, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.3036862549445286, 0.2573646344972037, 0.48565653763236827], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [2, 3, 0, 2], "color": [0.6355020062380002, 0.8225754659177894, 0.9905175449642316], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 0, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.4909418154450287, 0.8295599853485568, 0.8848537987406436], "cell_center": [1.8660254037844388, 9.330127018922193]}, {"index": 5, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [3, 4, 1, 2], "color": [0.09465920484769241, 0.5230886510184202, 0.29886511441981023], "cell_center": [9.330127018922195, 5.598076211353316]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.5214964160883804, 0.14197386071806894, 0.6150886066496369], "cell_center": [9.330127018922195, 9.330127018922193]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst13_var0_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst13/perturbed_part/4x4_inst13perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst13/perturbed_part/4x4_inst13perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst13/perturbed_part/4x4_inst13perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst13/perturbed_part/4x4_inst13perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst13/perturbed_part/4x4_inst13perturbed_part_assembly_step_4.png"], "instructions": ["", "Place piece E with its upper-left corner at (x, y) = (0, 1).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 1).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Place piece D with its upper-left corner at (x, y) = (2, 3).", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4)."], "results": ["", "", "", "", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 4, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.7966424419178151, 0.9680914967906663, 0.866954291693426]}, {"index": 5, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 2, 4], "color": [0.29384131363027277, 0.3163325797949277, 0.007829642754902055]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.2805251122858946, 0.9715538225079458, 0.3810974789090861]}, {"index": 3, "angle": 0, "orig_width": 3, "orig_height": 3, "w": 3.0, "h": 3.0, "label": "3x3", "piece": [1, 4, 2, 5], "color": [0.13663939469484443, 0.7631849020052232, 0.6462586504062603]}, {"index": 0, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [0, 1, 0, 2], "color": [0.08091420612656075, 0.9562651224873678, 0.23051757819828445]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 2, 4], "color": [0.9400983497113293, 0.32605090347507637, 0.5045925067978794]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
4x4_inst17_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece E with its upper-left corner at (x, y) = (2, 2).
Step 2: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).
Step 3: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 4: Place piece B with its upper-left corner at (x, y) = (1, 4).
Step 5: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst17/perturbed_step/4x4_inst17perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst17/perturbed_step/4x4_inst17perturbed_step_assembly_step_5.png"], "instructions": ["", "Place piece E with its upper-left corner at (x, y) = (2, 2).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4)."], "results": ["", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 4, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.09830256447954788, 0.3396191061459677, 0.9867290956314256], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 3, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.9578521580074713, 0.8815921980787345, 0.19295089472973515], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.3209357623770135, 0.4919116750200321, 0.05254088833875614], "cell_center": [9.330127018922195, 5.598076211353316]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.06114350981419958, 0.30119771230277814, 0.1293300317914955], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.8024254343287276, 0.5212933415712149, 0.6519422431117098], "cell_center": [5.598076211353316, 1.8660254037844388]}], "variant": "perturbed_step"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst1_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 2: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
Step 3: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Step 4: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst1/assembly/3x3_inst1assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst1/assembly/3x3_inst1assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst1/assembly/3x3_inst1assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst1/assembly/3x3_inst1assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst1/assembly/3x3_inst1assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1)."], "valid": true, "config": [{"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.256800880301729, 0.03751904073714318, 0.9621217613176958], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.6560169554382161, 0.08892499875961357, 0.2746181042425252], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.4502474416941842, 0.8486047097331468, 0.005901795236425311], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 3, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.14881909049605957, 0.9309150666944223, 0.2473442019032891], "cell_center": [5.598076211353316, 1.8660254037844388]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst15_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 90 degrees clockwise. Place piece B with its lower-left corner at (x,y) = (0, 3).
Step 2: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (2, 1).
Step 3: Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst15/irregular_assembly/3x3_inst15irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst15/irregular_assembly/3x3_inst15irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst15/irregular_assembly/3x3_inst15irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst15/irregular_assembly/3x3_inst15irregular_assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 90 degrees clockwise. Place piece B with its lower-left corner at (x,y) = (0, 3).", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (2, 1).", "Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 1, "shape": [0, 1, 2, 3], "angle": 90, "flip": "none", "color": [0.5860967147337509, 0.19822060430604183, 0.7985991759604419]}, {"index": 0, "shape": [1, 3, 0, 1], "angle": 90, "flip": "none", "color": [0.910380989877349, 0.7228160858320822, 0.7740539608931295]}, {"index": 2, "shape": [[1, 3, 1, 3], [0, 1, 0, 2]], "angle": 90, "flip": "none", "color": [0.678651528421504, 0.2548722306191047, 0.7768283693786211]}], "variant": "irregular_assembly"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst20_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
Step 2: Place piece D with its upper-left corner at (x, y) = (1, 1).
Step 3: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 4: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst20/assembly/3x3_inst20assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst20/assembly/3x3_inst20assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst20/assembly/3x3_inst20assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst20/assembly/3x3_inst20assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst20/assembly/3x3_inst20assembly_step_4.png"], "instructions": ["", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Place piece D with its upper-left corner at (x, y) = (1, 1).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "valid": true, "config": [{"index": 2, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 0, 1], "color": [0.11933639623212677, 0.6534312470367666, 0.34450218937820265], "cell_center": [1.5, 1.6160254037844386]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [2, 3, 1, 3], "color": [0.12249492574431531, 0.29714219616431337, 0.07666461362276034], "cell_center": [4.5, 1.6160254037844386]}, {"index": 1, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.2188625865501932, 0.3982672040489632, 0.24949930857585112], "cell_center": [4.5, 4.848076211353316]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.21514705147792568, 0.4919973529353018, 0.7207131866942781], "cell_center": [1.5, 4.848076211353316]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst28_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece B with its upper-left corner at (x,y) = (0, 3).
Step 2: Rotate piece A by about 90 degrees clockwise. Place piece A with its lower-left corner at (x,y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst28/irregular_assembly/3x3_inst28irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst28/irregular_assembly/3x3_inst28irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst28/irregular_assembly/3x3_inst28irregular_assembly_step_2.png"], "instructions": ["", "Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece A by about 90 degrees clockwise. Place piece A with its lower-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 1, "shape": [[0, 1, 0, 3], [1, 3, 2, 3]], "angle": 0, "flip": "none", "color": [0.5629568688202203, 0.21307617484959096, 0.3881604215827764]}, {"index": 0, "shape": [1, 3, 0, 2], "angle": 90, "flip": "none", "color": [0.24874432956275316, 0.10459104781785566, 0.290015710844736]}], "variant": "irregular_assembly"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst4_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece B with its upper-left corner at (x,y) = (2, 3).
Step 2: Rotate piece E by about 60 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (2, 4).
Step 3: Rotate piece A by about 30 degrees clockwise. Flip piece A vertically. Place piece A with its upper-left corner at (x,y) = (0, 2).
Step 4: Rotate piece C by about 30 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 3).
Step 5: Rotate piece D by about 30 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst4/irregular_assembly/4x4_inst4irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst4/irregular_assembly/4x4_inst4irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst4/irregular_assembly/4x4_inst4irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst4/irregular_assembly/4x4_inst4irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst4/irregular_assembly/4x4_inst4irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst4/irregular_assembly/4x4_inst4irregular_assembly_step_5.png"], "instructions": ["", "Place piece B with its upper-left corner at (x,y) = (2, 3).", "Rotate piece E by about 60 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (2, 4).", "Rotate piece A by about 30 degrees clockwise. Flip piece A vertically. Place piece A with its upper-left corner at (x,y) = (0, 2).", "Rotate piece C by about 30 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 3).", "Rotate piece D by about 30 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 1, "shape": [1, 3, 2, 4], "angle": 0, "flip": "none", "color": [0.3298784267001694, 0.4254879586883913, 0.8323218982811694]}, {"index": 4, "shape": [[0, 2, 0, 2], [0, 1, 2, 4]], "angle": 60, "flip": "none", "color": [0.9516920847941206, 0.09192754978443096, 0.034011632485778764]}, {"index": 0, "shape": [2, 3, 0, 2], "angle": 30, "flip": "vertical", "color": [0.1486163972137372, 0.09099753565850044, 0.9804276633019189]}, {"index": 2, "shape": [3, 4, 0, 2], "angle": 30, "flip": "none", "color": [0.6633151367722326, 0.05563697103144172, 0.996308043298854]}, {"index": 3, "shape": [3, 4, 2, 4], "angle": 30, "flip": "none", "color": [0.7873704671604125, 0.6920579729169158, 0.06370548134717746]}], "variant": "irregular_assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst21_var0_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst21/perturbed_part/4x4_inst21perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst21/perturbed_part/4x4_inst21perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst21/perturbed_part/4x4_inst21perturbed_part_assembly_step_2.png"], "instructions": ["", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Place piece B with its upper-left corner at (x, y) = (2, 4)."], "results": ["", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 2, "angle": 0, "orig_width": 4, "orig_height": 1, "w": 4.0, "h": 1.0, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.13844656237050856, 0.09373377464750454, 0.41854255601994583]}, {"index": 0, "angle": 60, "orig_width": 3, "orig_height": 4, "w": 4.964101615137755, "h": 4.598076211353316, "label": "3x4", "piece": [0, 4, 0, 3], "color": [0.4773278399576071, 0.4179807901546365, 0.3658306231917948]}, {"index": 1, "angle": 30, "orig_width": 2, "orig_height": 3, "w": 3.232050807568877, "h": 3.598076211353316, "label": "2x3", "piece": [0, 3, 2, 4], "color": [0.9226983536502249, 0.3780541609495376, 0.9449843452750281]}], "variant": "perturbed_part"} | q_only | [
"yes",
"no"
] |
|
3x3_inst3_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece B with its upper-left corner at (x, y) = (1, 3).
Step 2: Place piece D with its upper-left corner at (x, y) = (2, 2).
Step 3: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 4: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst3/perturbed_part/3x3_inst3perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst3/perturbed_part/3x3_inst3perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst3/perturbed_part/3x3_inst3perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst3/perturbed_part/3x3_inst3perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst3/perturbed_part/3x3_inst3perturbed_part_assembly_step_4.png"], "instructions": ["", "Place piece B with its upper-left corner at (x, y) = (1, 3).", "Place piece D with its upper-left corner at (x, y) = (2, 2).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2)."], "results": ["", "", "", "", "Over board"], "valid": false, "config": [{"index": 1, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [0, 1, 1, 3], "color": [0.17413619213984544, 0.539393258896573, 0.7469777807902688]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 2, 3], "color": [0.16349340438282878, 0.21139582589822659, 0.2570028333453004]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.3390410963415108, 0.7053312771029449, 0.11207793212756367]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 4, "w": 2.8660254037844384, "h": 3.964101615137755, "label": "1x4", "piece": [1, 5, 0, 1], "color": [0.39620311885379433, 0.3597929969599728, 0.413678806220555]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst9_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).
Step 2: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 3: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 3).
Step 4: Place piece E with its upper-left corner at (x, y) = (2, 3).
Step 5: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).
Step 6: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_6.png"], "instructions": ["", "Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 3).", "Place piece E with its upper-left corner at (x, y) = (2, 3).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3)."], "valid": true, "config": [{"index": 5, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [3, 4, 1, 4], "color": [0.28340804127686015, 0.9232672116663543, 0.8311037648416407], "cell_center": [10.24519052838329, 2.049038105676658]}, {"index": 0, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [0, 1, 0, 3], "color": [0.3767840683317317, 0.9804349782325034, 0.6211477157651492], "cell_center": [2.049038105676658, 6.147114317029974]}, {"index": 3, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 1, 2], "color": [0.08568095338134385, 0.6682948586606138, 0.6055837889275328], "cell_center": [2.049038105676658, 2.049038105676658]}, {"index": 4, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.726034657723742, 0.14100632109447608, 0.1515951180124674], "cell_center": [6.147114317029974, 2.049038105676658]}, {"index": 1, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [0, 1, 3, 4], "color": [0.6391948573912559, 0.6949802608182306, 0.21433155875468102], "cell_center": [6.147114317029974, 6.147114317029974]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 3, "w": 2.3660254037844384, "h": 3.098076211353316, "label": "1x3", "piece": [1, 4, 0, 1], "color": [0.32195261495336813, 0.6322591244083937, 0.7762269388570919], "cell_center": [10.24519052838329, 6.147114317029974]}], "variant": "assembly"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst6_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 2: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
Step 3: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst6/perturbed_part/3x3_inst6perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst6/perturbed_part/3x3_inst6perturbed_part_assembly_step_1.png"], "instructions": ["", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "results": ["", "Over board", "Overlap", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 30, "orig_width": 2, "orig_height": 3, "w": 3.232050807568877, "h": 3.598076211353316, "label": "2x3", "piece": [0, 3, 2, 4], "color": [0.6512655327908536, 0.8401929301826332, 0.8460989766654483]}, {"index": 2, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.1586208137251468, 0.12393853736495797, 0.8716693278560734]}, {"index": 0, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.10309243167421278, 0.24076261322195902, 0.2100689922963226]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst16_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).
Step 2: Place piece D with its upper-left corner at (x, y) = (3, 2).
Step 3: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Step 4: Place piece A with its upper-left corner at (x, y) = (0, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst16/perturbed_part/4x4_inst16perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst16/perturbed_part/4x4_inst16perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst16/perturbed_part/4x4_inst16perturbed_part_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Place piece D with its upper-left corner at (x, y) = (3, 2).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Place piece A with its upper-left corner at (x, y) = (0, 4)."], "results": ["", "", "Over board", "Over board", "Over board"], "valid": false, "config": [{"index": 1, "angle": 0, "orig_width": 3, "orig_height": 2, "w": 3.0, "h": 2.0, "label": "3x2", "piece": [0, 2, 1, 4], "color": [0.6455578112263359, 0.04059609907027828, 0.9406976161672972]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 3, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [2, 5, 3, 5], "color": [0.28731779180264194, 0.03647956859760171, 0.15648045527389287]}, {"index": 2, "angle": 90, "orig_width": 3, "orig_height": 2, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [2, 4, 0, 3], "color": [0.10552732137168419, 0.7961088453102383, 0.6833810431216795]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.2906409364547665, 0.18966064628256707, 0.16656066606481745]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst21_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst21/irregular_assembly/3x3_inst21irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst21/irregular_assembly/3x3_inst21irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst21/irregular_assembly/3x3_inst21irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its lower-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 1, "shape": [[0, 1, 0, 3], [1, 3, 1, 3]], "angle": 30, "flip": "none", "color": [0.6140362933411411, 0.9726156360309749, 0.23541658483033545]}, {"index": 0, "shape": [1, 3, 0, 1], "angle": 30, "flip": "none", "color": [0.6165348490517608, 0.47248907820449537, 0.17394439876786527]}], "variant": "irregular_assembly"} | q_only | [
"no",
"yes"
] |
|
4x4_inst0_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst0/irregular_assembly/4x4_inst0irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst0/irregular_assembly/4x4_inst0irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst0/irregular_assembly/4x4_inst0irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst0/irregular_assembly/4x4_inst0irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst0/irregular_assembly/4x4_inst0irregular_assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).", "Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (1, 4).", "Rotate piece B by about 30 degrees clockwise. Place piece B with its lower-left corner at (x,y) = (2, 4).", "Rotate piece C by about 30 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 0, 2], "angle": 60, "flip": "none", "color": [0.6587979169912652, 0.844257398556249, 0.15584553214536334]}, {"index": 3, "shape": [[0, 2, 2, 4], [2, 4, 3, 4]], "angle": 90, "flip": "none", "color": [0.4580368292258854, 0.8158453451238444, 0.9632351452602854]}, {"index": 1, "shape": [2, 4, 0, 1], "angle": 30, "flip": "none", "color": [0.25876504303189696, 0.6936112618438536, 0.14086831103305852]}, {"index": 2, "shape": [2, 4, 1, 3], "angle": 30, "flip": "none", "color": [0.6408366795251199, 0.44684470588581293, 0.7884302557046777]}], "variant": "irregular_assembly"} | q_only | [
"no",
"yes"
] |
|
3x3_inst16_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1).
Step 2: Place piece C with its upper-left corner at (x,y) = (0, 3).
Step 3: Rotate piece B by about 30 degrees clockwise. Flip piece B horizontally. Place piece B with its lower-left corner at (x,y) = (1, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst16/irregular_assembly/3x3_inst16irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst16/irregular_assembly/3x3_inst16irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst16/irregular_assembly/3x3_inst16irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst16/irregular_assembly/3x3_inst16irregular_assembly_step_3.png"], "instructions": ["", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1).", "Place piece C with its upper-left corner at (x,y) = (0, 3).", "Rotate piece B by about 30 degrees clockwise. Flip piece B horizontally. Place piece B with its lower-left corner at (x,y) = (1, 3)."], "valid": true, "config": [{"index": 0, "shape": [1, 3, 0, 2], "angle": 30, "flip": "none", "color": [0.9976490339368843, 0.4943065670172001, 0.5594239487418055]}, {"index": 2, "shape": [[1, 3, 2, 3], [0, 1, 1, 3]], "angle": 0, "flip": "none", "color": [0.10823406854150919, 0.5033344127325038, 0.9895981043015385]}, {"index": 1, "shape": [0, 1, 0, 1], "angle": 30, "flip": "horizontal", "color": [0.9048699719372921, 0.07001798964152184, 0.5974823649881674]}], "variant": "irregular_assembly"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst15_var0_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst15/perturbed_part/4x4_inst15perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst15/perturbed_part/4x4_inst15perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst15/perturbed_part/4x4_inst15perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst15/perturbed_part/4x4_inst15perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst15/perturbed_part/4x4_inst15perturbed_part_assembly_step_4.png"], "instructions": ["", "Place piece F with its upper-left corner at (x, y) = (2, 2).", "Place piece C with its upper-left corner at (x, y) = (2, 4).", "Place piece D with its upper-left corner at (x, y) = (0, 2).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).", "Place piece A with its upper-left corner at (x, y) = (0, 4)."], "results": ["", "", "", "", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 5, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.8124363601454803, 0.8725077509105843, 0.04463369307200571]}, {"index": 2, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.13557809727733983, 0.7545597463569302, 0.3732963496374987]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [2, 4, 0, 1], "color": [0.4240667615814787, 0.7222327073498909, 0.6054485127949952]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.38174873155304245, 0.8750272159825754, 0.7170741611088424]}, {"index": 4, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [2, 4, 1, 2], "color": [0.29106684612422073, 0.3972090277120738, 0.0043544742627775745]}, {"index": 0, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.4523784950258848, 0.5966474216563278, 0.4209460701703134]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
4x4_inst13_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).
Step 2: Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).
Step 3: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 4: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3).
Step 5: Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 2).
Step 6: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst13/perturbed_step/4x4_inst13perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst13/perturbed_step/4x4_inst13perturbed_step_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst13/perturbed_step/4x4_inst13perturbed_step_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst13/perturbed_step/4x4_inst13perturbed_step_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst13/perturbed_step/4x4_inst13perturbed_step_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst13/perturbed_step/4x4_inst13perturbed_step_assembly_step_5.png"], "instructions": ["", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3).", "Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4)."], "results": ["", "", "", "", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.2805251122858946, 0.9715538225079458, 0.3810974789090861], "cell_center": [1.8660254037844386, 5.598076211353316]}, {"index": 4, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.7966424419178151, 0.9680914967906663, 0.866954291693426], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [0, 1, 0, 2], "color": [0.08091420612656075, 0.9562651224873678, 0.23051757819828445], "cell_center": [9.330127018922193, 5.598076211353316]}, {"index": 3, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.13663939469484443, 0.7631849020052232, 0.6462586504062603], "cell_center": [1.8660254037844386, 1.8660254037844386]}, {"index": 5, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.29384131363027277, 0.3163325797949277, 0.007829642754902055], "cell_center": [5.598076211353316, 1.8660254037844386]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.9400983497113293, 0.32605090347507637, 0.5045925067978794], "cell_center": [9.330127018922193, 1.8660254037844386]}], "variant": "perturbed_step"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst24_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (1, 3).
Step 2: Rotate piece B by about 90 degrees clockwise. Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 3).
Step 3: Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (3, 2).
Step 4: Rotate piece D by about 60 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst24/irregular_assembly/4x4_inst24irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst24/irregular_assembly/4x4_inst24irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst24/irregular_assembly/4x4_inst24irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst24/irregular_assembly/4x4_inst24irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst24/irregular_assembly/4x4_inst24irregular_assembly_step_4.png"], "instructions": ["", "Rotate piece C by about 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (1, 3).", "Rotate piece B by about 90 degrees clockwise. Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (3, 2).", "Rotate piece D by about 60 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 2, "shape": [0, 2, 3, 4], "angle": 60, "flip": "none", "color": [0.3941478645364662, 0.07242735131670541, 0.6221981028733828]}, {"index": 1, "shape": [2, 3, 1, 4], "angle": 90, "flip": "vertical", "color": [0.34499076168116316, 0.3941488900507818, 0.035379367870832845]}, {"index": 0, "shape": [3, 4, 0, 4], "angle": 30, "flip": "none", "color": [0.34673327216917005, 0.3823052678152453, 0.04807869538996756]}, {"index": 3, "shape": [[0, 3, 0, 1], [0, 2, 1, 3]], "angle": 60, "flip": "none", "color": [0.667451459773487, 0.609690672977065, 0.9690305764874845]}], "variant": "irregular_assembly"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst4_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_6.png"], "instructions": ["", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).", "Place piece F with its upper-left corner at (x, y) = (1, 1).", "Place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2)."], "results": ["", "", "", "", "", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 6, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.7026544847856405, 0.46673048477596846, 0.989431536237153]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.1486163972137372, 0.09099753565850044, 0.9804276633019189]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.6633151367722326, 0.05563697103144172, 0.996308043298854]}, {"index": 5, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [3, 4, 1, 2], "color": [0.5159597562042038, 0.7332772521875923, 0.7847260582105081]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 2, 4], "color": [0.3298784267001694, 0.4254879586883913, 0.8323218982811694]}, {"index": 4, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.9516920847941206, 0.09192754978443096, 0.034011632485778764]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.7873704671604125, 0.6920579729169158, 0.06370548134717746]}], "variant": "perturbed_part"} | q_only | [
"yes",
"no"
] |
|
3x3_inst24_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (2, 3).
Step 2: Flip piece A vertically. Place piece A with its upper-left corner at (x,y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst24/irregular_assembly/3x3_inst24irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst24/irregular_assembly/3x3_inst24irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst24/irregular_assembly/3x3_inst24irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (2, 3).", " Flip piece A vertically. Place piece A with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 1, "shape": [[0, 1, 0, 3], [1, 3, 0, 2]], "angle": 90, "flip": "none", "color": [0.3668565042280403, 0.7544321568579433, 0.022670156613330716]}, {"index": 0, "shape": [1, 3, 2, 3], "angle": 0, "flip": "vertical", "color": [0.7128663156774877, 0.20321597181862183, 0.6465282105669317]}], "variant": "irregular_assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst19_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece E with its upper-left corner at (x, y) = (0, 1).
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).
Step 3: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).
Step 4: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 5: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst19/assembly/4x4_inst19assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst19/assembly/4x4_inst19assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst19/assembly/4x4_inst19assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst19/assembly/4x4_inst19assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst19/assembly/4x4_inst19assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst19/assembly/4x4_inst19assembly_step_5.png"], "instructions": ["", "Place piece E with its upper-left corner at (x, y) = (0, 1).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2)."], "valid": true, "config": [{"index": 4, "angle": 0, "orig_width": 4, "orig_height": 1, "w": 4.0, "h": 1.0, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.15548994568154517, 0.5175640932286619, 0.924036957862598], "cell_center": [7.5, 1.8660254037844386]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 2, 4], "color": [0.2136068442754907, 0.9077636730804951, 0.008593383588581083], "cell_center": [7.5, 5.598076211353316]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.9646222808065529, 0.17286663433434668, 0.9197129911831481], "cell_center": [12.5, 5.598076211353316]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.952951108351252, 0.41844418587893295, 0.20783217104778784], "cell_center": [2.5, 5.598076211353316]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [2, 3, 0, 2], "color": [0.8421463017266881, 0.998579446834601, 0.828081664466033], "cell_center": [2.5, 1.8660254037844386]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst23_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 2).
Step 2: Place piece A with its upper-left corner at (x, y) = (0, 4).
Step 3: Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).
Step 4: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).
Step 5: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4).
Step 6: Place piece D with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst23/perturbed_part/4x4_inst23perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst23/perturbed_part/4x4_inst23perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst23/perturbed_part/4x4_inst23perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst23/perturbed_part/4x4_inst23perturbed_part_assembly_step_3.png"], "instructions": ["", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 2).", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4).", "Place piece D with its upper-left corner at (x, y) = (0, 2)."], "results": ["", "", "", "Overlap", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 5, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [2, 4, 3, 4], "color": [0.9313701131443723, 0.8577776822629893, 0.1914255443977304]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 3, "w": 3.0, "h": 2.0, "label": "3x2", "piece": [0, 3, 0, 2], "color": [0.25815493806589496, 0.2761207462023175, 0.2168904413637872]}, {"index": 4, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 1, 3], "color": [0.5986403619608208, 0.29107166733029166, 0.30497019909230927]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 1, 2], "color": [0.6716820917008354, 0.3773450251007877, 0.850605988039298]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.5175730479893074, 0.7209008156630139, 0.8339774749798693]}, {"index": 3, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [2, 4, 0, 1], "color": [0.2475030415730417, 0.8334016992404263, 0.08403143743189156]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst8_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
Step 2: Place piece A with its upper-left corner at (x, y) = (0, 3).
Step 3: Place piece D with its upper-left corner at (x, y) = (1, 1).
Step 4: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst8/perturbed_part/3x3_inst8perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst8/perturbed_part/3x3_inst8perturbed_part_assembly_step_1.png"], "instructions": ["", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Place piece A with its upper-left corner at (x, y) = (0, 3).", "Place piece D with its upper-left corner at (x, y) = (1, 1).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3)."], "results": ["", "Over board", "Over board", "Overlap", "Overlap"], "valid": false, "config": [{"index": 2, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.42736045177487814, 0.8513826938670388, 0.8750119894026337]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.9121940999636362, 0.4658006204694346, 0.5093386252677216]}, {"index": 3, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 1, 3], "color": [0.9743504876400423, 0.8767773860180708, 0.6725336937906906]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.20247270312835763, 0.14681033333288918, 0.039265900955547495]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst20_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst20/perturbed_part/4x4_inst20perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst20/perturbed_part/4x4_inst20perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst20/perturbed_part/4x4_inst20perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst20/perturbed_part/4x4_inst20perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst20/perturbed_part/4x4_inst20perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst20/perturbed_part/4x4_inst20perturbed_part_assembly_step_5.png"], "instructions": ["", "Place piece E with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 4).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4)."], "results": ["", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 4, "angle": 60, "orig_width": 4, "orig_height": 1, "w": 2.8660254037844393, "h": 3.9641016151377544, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.773462109269352, 0.5378491475249307, 0.12814306717555435]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 3, "w": 1.0, "h": 3.0, "label": "1x3", "piece": [0, 3, 0, 1], "color": [0.29966205358997233, 0.09697437710727908, 0.8636883692270556]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [0, 1, 1, 2], "color": [0.18485780995210122, 0.8265364443197515, 0.6214626335028112]}, {"index": 3, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 1, 4], "color": [0.5744625311503513, 0.40604309103934255, 0.6755080869563523]}, {"index": 1, "angle": 60, "orig_width": 3, "orig_height": 2, "w": 3.2320508075688776, "h": 3.598076211353316, "label": "3x2", "piece": [0, 2, 1, 4], "color": [0.6495522933888194, 0.5813963139566096, 0.8481586539915731]}], "variant": "perturbed_part"} | q_only | [
"yes",
"no"
] |
|
3x3_inst19_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece D with its upper-left corner at (x, y) = (1, 1).
Step 2: Place piece B with its upper-left corner at (x, y) = (1, 3).
Step 3: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
Step 4: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst19/assembly/3x3_inst19assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst19/assembly/3x3_inst19assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst19/assembly/3x3_inst19assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst19/assembly/3x3_inst19assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst19/assembly/3x3_inst19assembly_step_4.png"], "instructions": ["", "Place piece D with its upper-left corner at (x, y) = (1, 1).", "Place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "valid": true, "config": [{"index": 3, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [2, 3, 1, 3], "color": [0.8916148044641335, 0.3781423287870871, 0.36352922300777135], "cell_center": [4.5, 1.5]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.8415274483290549, 0.46286374035661404, 0.8797592115225641], "cell_center": [4.5, 4.5]}, {"index": 2, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [2, 3, 0, 1], "color": [0.3223902645479415, 0.8258414522110806, 0.3821764742442382], "cell_center": [1.5, 1.5]}, {"index": 0, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 0, 1], "color": [0.4978586459293345, 0.5976559765313394, 0.14086452934263438], "cell_center": [1.5, 4.5]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst29_var3_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst29/irregular_assembly/4x4_inst29irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst29/irregular_assembly/4x4_inst29irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst29/irregular_assembly/4x4_inst29irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst29/irregular_assembly/4x4_inst29irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst29/irregular_assembly/4x4_inst29irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst29/irregular_assembly/4x4_inst29irregular_assembly_step_5.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).", "Rotate piece E by about 30 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (2, 4).", "Place piece C with its upper-left corner at (x,y) = (0, 3).", "Place piece B with its upper-left corner at (x,y) = (1, 2).", "Place piece D with its upper-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 0, 1], "angle": 60, "flip": "none", "color": [0.5891291035296236, 0.3497096728096557, 0.9163403319569924]}, {"index": 4, "shape": [[0, 3, 3, 4], [2, 3, 0, 3]], "angle": 30, "flip": "none", "color": [0.9906664263285482, 0.5961649832123572, 0.09772349038033212]}, {"index": 2, "shape": [3, 4, 0, 2], "angle": 0, "flip": "none", "color": [0.5990452770695724, 0.8191791111282444, 0.6830708139237405]}, {"index": 1, "shape": [0, 2, 1, 3], "angle": 0, "flip": "none", "color": [0.9543183423703964, 0.16273279693061327, 0.4214676188543469]}, {"index": 3, "shape": [3, 4, 2, 4], "angle": 0, "flip": "none", "color": [0.9741545288927297, 0.34746803917361757, 0.23806606283364473]}], "variant": "irregular_assembly"} | q_only | [
"no",
"yes"
] |
|
3x3_inst8_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece C with its upper-left corner at (x, y) = (0, 1).
Step 2: Place piece B with its upper-left corner at (x, y) = (1, 3).
Step 3: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 1).
Step 4: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst8/assembly/3x3_inst8assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst8/assembly/3x3_inst8assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst8/assembly/3x3_inst8assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst8/assembly/3x3_inst8assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst8/assembly/3x3_inst8assembly_step_4.png"], "instructions": ["", "Place piece C with its upper-left corner at (x, y) = (0, 1).", "Place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "valid": true, "config": [{"index": 2, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 0, 1], "color": [0.42736045177487814, 0.8513826938670388, 0.8750119894026337], "cell_center": [1.5, 1.6160254037844386]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.20247270312835763, 0.14681033333288918, 0.039265900955547495], "cell_center": [4.5, 4.848076211353316]}, {"index": 3, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 1, 3], "color": [0.9743504876400423, 0.8767773860180708, 0.6725336937906906], "cell_center": [4.5, 1.6160254037844386]}, {"index": 0, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 0, 1], "color": [0.9121940999636362, 0.4658006204694346, 0.5093386252677216], "cell_center": [1.5, 4.848076211353316]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst5_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 2: Place piece C with its upper-left corner at (x, y) = (0, 1).
Step 3: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst5/assembly/3x3_inst5assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst5/assembly/3x3_inst5assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst5/assembly/3x3_inst5assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst5/assembly/3x3_inst5assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "valid": true, "config": [{"index": 1, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.445111390892756, 0.16653115882702152, 0.8213500363599643], "cell_center": [6.0, 4.848076211353316]}, {"index": 2, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.2058943173019785, 0.3076399768831918, 0.506910472590548], "cell_center": [2.0, 1.6160254037844386]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.07357053851548412, 0.9733870202483494, 0.6618987325140707], "cell_center": [2.0, 4.848076211353316]}], "variant": "assembly"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst11_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise. Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 4).
Step 2: Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (3, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst11/irregular_assembly/4x4_inst11irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst11/irregular_assembly/4x4_inst11irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst11/irregular_assembly/4x4_inst11irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise. Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 4).", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (3, 2)."], "valid": true, "config": [{"index": 1, "shape": [[2, 4, 0, 4], [0, 2, 0, 3]], "angle": 30, "flip": "vertical", "color": [0.2617125427976732, 0.3180100977057472, 0.9938777587600973]}, {"index": 0, "shape": [0, 2, 3, 4], "angle": 60, "flip": "none", "color": [0.590194494564307, 0.8146086514121477, 0.17186877412793822]}], "variant": "irregular_assembly"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst8_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst8/irregular_assembly/4x4_inst8irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst8/irregular_assembly/4x4_inst8irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst8/irregular_assembly/4x4_inst8irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst8/irregular_assembly/4x4_inst8irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst8/irregular_assembly/4x4_inst8irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst8/irregular_assembly/4x4_inst8irregular_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst8/irregular_assembly/4x4_inst8irregular_assembly_step_6.png"], "instructions": ["", "Place piece C with its upper-left corner at (x,y) = (0, 3).", "Rotate piece F by about 30 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (3, 4).", "Rotate piece D by about 60 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (3, 2).", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1).", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 1).", "Rotate piece E by about 30 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 2, "shape": [0, 1, 1, 4], "angle": 0, "flip": "none", "color": [0.2306122657446259, 0.821394282823099, 0.040689723719669946]}, {"index": 5, "shape": [[3, 4, 0, 3], [1, 3, 2, 3]], "angle": 30, "flip": "none", "color": [0.17104429060676052, 0.31991486174124684, 0.7751148512375546]}, {"index": 3, "shape": [1, 2, 3, 4], "angle": 60, "flip": "none", "color": [0.4434074109775199, 0.09519571468722166, 0.1803872345266927]}, {"index": 0, "shape": [1, 3, 0, 2], "angle": 90, "flip": "none", "color": [0.6104741962438478, 0.7105984792563446, 0.35533199360146306]}, {"index": 1, "shape": [0, 1, 0, 1], "angle": 90, "flip": "none", "color": [0.43734772906443453, 0.7140607992935755, 0.5214252728488368]}, {"index": 4, "shape": [2, 4, 3, 4], "angle": 30, "flip": "none", "color": [0.7918351590524052, 0.539204813032439, 0.47469005514533036]}], "variant": "irregular_assembly"} | q_only | [
"no",
"yes"
] |
|
3x3_inst5_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).
Step 2: Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst5/irregular_assembly/3x3_inst5irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst5/irregular_assembly/3x3_inst5irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst5/irregular_assembly/3x3_inst5irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).", " Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 0, 2], "angle": 90, "flip": "none", "color": [0.07357053851548412, 0.9733870202483494, 0.6618987325140707]}, {"index": 1, "shape": [[2, 3, 0, 3], [0, 2, 2, 3]], "angle": 0, "flip": "vertical", "color": [0.445111390892756, 0.16653115882702152, 0.8213500363599643]}], "variant": "irregular_assembly"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst7_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
Step 2: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 3: Place piece B with its upper-left corner at (x, y) = (2, 3).
Step 4: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst7/assembly/3x3_inst7assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst7/assembly/3x3_inst7assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst7/assembly/3x3_inst7assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst7/assembly/3x3_inst7assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst7/assembly/3x3_inst7assembly_step_4.png"], "instructions": ["", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Place piece B with its upper-left corner at (x, y) = (2, 3).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1)."], "valid": true, "config": [{"index": 2, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.5214492117729866, 0.6446553823041661, 0.06936597519800336], "cell_center": [1.8660254037844386, 1.8660254037844386]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.73843051684633, 0.04893125943557952, 0.5781887360388885], "cell_center": [1.8660254037844386, 5.598076211353316]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.8890167433678454, 0.8396728997385756, 0.6423378141699023], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.10779093077082336, 0.9663519770282707, 0.08719575355451004], "cell_center": [5.598076211353316, 1.8660254037844386]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst0_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise. Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 3).
Step 2: Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst0/irregular_assembly/3x3_inst0irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst0/irregular_assembly/3x3_inst0irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst0/irregular_assembly/3x3_inst0irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise. Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2)."], "valid": true, "config": [{"index": 1, "shape": [[2, 3, 0, 3], [0, 2, 1, 3]], "angle": 30, "flip": "vertical", "color": [0.3256280422330665, 0.5203129240964942, 0.7395819324105462]}, {"index": 0, "shape": [0, 2, 0, 1], "angle": 30, "flip": "none", "color": [0.5107935611666639, 0.5856039458335469, 0.7112698396749424]}], "variant": "irregular_assembly"} | q+steps | [
"no",
"yes"
] |
|
4x4_inst5_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst5/perturbed_part/4x4_inst5perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst5/perturbed_part/4x4_inst5perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst5/perturbed_part/4x4_inst5perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst5/perturbed_part/4x4_inst5perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst5/perturbed_part/4x4_inst5perturbed_part_assembly_step_4.png"], "instructions": ["", "Place piece D with its upper-left corner at (x, y) = (0, 3).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 3).", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 3).", "Rotate piece H by about 90 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (2, 1).", "Place piece C with its upper-left corner at (x, y) = (2, 4).", "Place piece G with its upper-left corner at (x, y) = (0, 1).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4)."], "results": ["", "", "", "", "Over board", "Over board", "Over board", "Over board", "Over board"], "valid": false, "config": [{"index": 3, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.9240533250960073, 0.9819349600532725, 0.6747134014128692]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.7349991584173213, 0.6699660472482647, 0.43315305080703437]}, {"index": 4, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 1, 2], "color": [0.22291133685432907, 0.48383465028816663, 0.5699125213630748]}, {"index": 5, "angle": 0, "orig_width": 4, "orig_height": 1, "w": 4.0, "h": 1.0, "label": "4x1", "piece": [1, 2, 2, 6], "color": [0.5397844496723473, 0.05872496894813528, 0.15399180068950846]}, {"index": 7, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 2, 4], "color": [0.48160700821724445, 0.60931785491179, 0.22992601917545952]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.6297825243848936, 0.49093541919773, 0.6669745716275061]}, {"index": 6, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.6662381683077349, 0.4371576487638136, 0.8074652784518175]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 1, 2], "color": [0.26612579155187954, 0.07055091126826107, 0.08305000539925333]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
] |
|
3x3_inst12_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).
Step 2: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Step 3: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 4: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst12/perturbed_part/3x3_inst12perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst12/perturbed_part/3x3_inst12perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst12/perturbed_part/3x3_inst12perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst12/perturbed_part/3x3_inst12perturbed_part_assembly_step_3.png"], "instructions": ["", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3)."], "results": ["", "", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 3, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 2, 3], "color": [0.7158111525953443, 0.3144750396327004, 0.9033798732112359]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.4602759030241912, 0.5263411433589661, 0.5878592840681638]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.9103403361123941, 0.38267590340608304, 0.7632217986287583]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 1, 3], "color": [0.946796380694129, 0.7835046474330913, 0.11945153897003868]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
] |
|
3x3_inst29_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).
Step 2: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 3: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst29/perturbed_step/3x3_inst29perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst29/perturbed_step/3x3_inst29perturbed_step_assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2)."], "results": ["", "", "", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.5587780227736063, 0.37341366971430356, 0.25392528265228476], "cell_center": [1.8660254037844386, 6.0]}, {"index": 0, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.16908974540263644, 0.9028171146233334, 0.20691211710600244], "cell_center": [5.598076211353316, 6.0]}, {"index": 2, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "1x2", "piece": [1, 3, 2, 3], "color": [0.45969448450814654, 0.03567904341063466, 0.6125989178735066], "cell_center": [1.8660254037844386, 2.0]}], "variant": "perturbed_step"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst17_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).
Step 2: Place piece A with its upper-left corner at (x, y) = (0, 4).
Step 3: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).
Step 4: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 2).
Step 5: Place piece C with its upper-left corner at (x, y) = (3, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst17/assembly/4x4_inst17assembly_step_5.png"], "instructions": ["", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (2, 2).", "Place piece C with its upper-left corner at (x, y) = (3, 4)."], "valid": true, "config": [{"index": 3, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.9578521580074713, 0.8815921980787345, 0.19295089472973515], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.3209357623770135, 0.4919116750200321, 0.05254088833875614], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.06114350981419958, 0.30119771230277814, 0.1293300317914955], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 4, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.09830256447954788, 0.3396191061459677, 0.9867290956314256], "cell_center": [5.598076211353316, 1.8660254037844388]}, {"index": 2, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.8024254343287276, 0.5212933415712149, 0.6519422431117098], "cell_center": [9.330127018922195, 5.598076211353316]}], "variant": "assembly"} | q+steps | [
"yes",
"no"
] |
|
3x3_inst11_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).
Step 2: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Step 3: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst11/perturbed_step/3x3_inst11perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst11/perturbed_step/3x3_inst11perturbed_step_assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 2)."], "results": ["", "", "", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.10167857717644269, 0.8327584618892119, 0.8500740367164027], "cell_center": [2.0, 5.598076211353316]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.727812832035729, 0.9023721118321468, 0.059719741721927844], "cell_center": [6.0, 5.598076211353316]}, {"index": 0, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.20466808994905894, 0.704066164831489, 0.6231877093078216], "cell_center": [2.0, 1.8660254037844388]}], "variant": "perturbed_step"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst28_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 2: Place piece B with its upper-left corner at (x, y) = (2, 4).
Step 3: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).
Step 4: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst28/assembly/4x4_inst28assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst28/assembly/4x4_inst28assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst28/assembly/4x4_inst28assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst28/assembly/4x4_inst28assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst28/assembly/4x4_inst28assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2)."], "valid": true, "config": [{"index": 0, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.31870027151465274, 0.9820788726257209, 0.8550947462305866], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 1, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.3088457752297562, 0.9442534400895921, 0.6030597092417792], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 3, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.2615618203446515, 0.30219545939699477, 0.7851313753013661], "cell_center": [5.598076211353316, 1.8660254037844388]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.9709321163056576, 0.9638050814682778, 0.48474678634569257], "cell_center": [1.8660254037844388, 1.8660254037844388]}], "variant": "assembly"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst4_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).
Step 2: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 3: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).
Step 4: Place piece F with its upper-left corner at (x, y) = (1, 1).
Step 5: Place piece B with its upper-left corner at (x, y) = (2, 4).
Step 6: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).
Step 7: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst4/perturbed_part/4x4_inst4perturbed_part_assembly_step_6.png"], "instructions": ["", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).", "Place piece F with its upper-left corner at (x, y) = (1, 1).", "Place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2)."], "results": ["", "", "", "", "", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 6, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.7026544847856405, 0.46673048477596846, 0.989431536237153]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.1486163972137372, 0.09099753565850044, 0.9804276633019189]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.6633151367722326, 0.05563697103144172, 0.996308043298854]}, {"index": 5, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [3, 4, 1, 2], "color": [0.5159597562042038, 0.7332772521875923, 0.7847260582105081]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 2, 4], "color": [0.3298784267001694, 0.4254879586883913, 0.8323218982811694]}, {"index": 4, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.9516920847941206, 0.09192754978443096, 0.034011632485778764]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.7873704671604125, 0.6920579729169158, 0.06370548134717746]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
] |
|
4x4_inst6_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst6/perturbed_part/4x4_inst6perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst6/perturbed_part/4x4_inst6perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst6/perturbed_part/4x4_inst6perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst6/perturbed_part/4x4_inst6perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst6/perturbed_part/4x4_inst6perturbed_part_assembly_step_4.png"], "instructions": ["", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Place piece D with its upper-left corner at (x, y) = (1, 3).", "Place piece B with its upper-left corner at (x, y) = (3, 4).", "Place piece E with its upper-left corner at (x, y) = (2, 3).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece H by about 60 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (0, 1).", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 3)."], "results": ["", "", "", "", "Overlap", "Overlap", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.5642191206300475, 0.5266511236435065, 0.01583621582154371]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.4742989639644474, 0.909668014873498, 0.8681758927696834]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 3, 4], "color": [0.13437439136796736, 0.27065887983250636, 0.2175623391262027]}, {"index": 4, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.5266413491581361, 0.1750305330495292, 0.268226050316132]}, {"index": 6, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [2, 4, 3, 4], "color": [0.1635602218612643, 0.9092079607736911, 0.9337866032490502]}, {"index": 2, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.36824799770838956, 0.17303561687252822, 0.932534384866424]}, {"index": 7, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [3, 4, 0, 3], "color": [0.021174254868769782, 0.46011262673044473, 0.5504395610307828]}, {"index": 5, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [1, 2, 3, 4], "color": [0.04043697446808392, 0.08054772670054255, 0.40755271819790273]}], "variant": "perturbed_part"} | q_only | [
"yes",
"no"
] |
|
3x3_inst5_var2_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst5/assembly/3x3_inst5assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst5/assembly/3x3_inst5assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst5/assembly/3x3_inst5assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst5/assembly/3x3_inst5assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3)."], "valid": true, "config": [{"index": 1, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.445111390892756, 0.16653115882702152, 0.8213500363599643], "cell_center": [6.0, 4.848076211353316]}, {"index": 2, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.2058943173019785, 0.3076399768831918, 0.506910472590548], "cell_center": [2.0, 1.6160254037844386]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.07357053851548412, 0.9733870202483494, 0.6618987325140707], "cell_center": [2.0, 4.848076211353316]}], "variant": "assembly"} | q_only | [
"no",
"yes"
] |
|
3x3_inst11_var3_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece A with its upper-left corner at (x, y) = (0, 3).
Step 2: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).
Step 3: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst11/assembly/3x3_inst11assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst11/assembly/3x3_inst11assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst11/assembly/3x3_inst11assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst11/assembly/3x3_inst11assembly_step_3.png"], "instructions": ["", "Place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2)."], "valid": true, "config": [{"index": 0, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.20466808994905894, 0.704066164831489, 0.6231877093078216], "cell_center": [2.0, 4.5]}, {"index": 1, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.10167857717644269, 0.8327584618892119, 0.8500740367164027], "cell_center": [6.0, 4.5]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.727812832035729, 0.9023721118321468, 0.059719741721927844], "cell_center": [2.0, 1.5]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
] |
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