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3x3_inst10_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) = (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) = (0, 3). Step 4: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 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_inst10/assembly/3x3_inst10assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst10/assembly/3x3_inst10assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst10/assembly/3x3_inst10assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst10/assembly/3x3_inst10assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst10/assembly/3x3_inst10assembly_step_4.png"], "instructions": ["", "Rotate piece B by about 90 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) = (0, 3).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 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": [0.08300347331815172, 0.9129260346492023, 0.030327958859172166], "cell_center": [4.5, 4.5]}, {"index": 2, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 0, 1], "color": [0.3863759873563767, 0.3560346662754732, 0.9984770026551721], "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": [0.8361559109194318, 0.10012585524596118, 0.741018254845187], "cell_center": [1.5, 4.5]}, {"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], "cell_center": [4.5, 1.5]}], "variant": "assembly"}
q+steps
[ "no", "yes" ]
4x4_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: Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 3). Step 2: Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 4). Step 3: Rotate piece A by about 30 degrees clockwise. Place piece A 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/4x4_inst20/irregular_assembly/4x4_inst20irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst20/irregular_assembly/4x4_inst20irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst20/irregular_assembly/4x4_inst20irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst20/irregular_assembly/4x4_inst20irregular_assembly_step_3.png"], "instructions": ["", " Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece C by about 90 degrees clockwise. Place piece C 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": 1, "shape": [0, 2, 1, 4], "angle": 0, "flip": "horizontal", "color": [0.6495522933888194, 0.5813963139566096, 0.8481586539915731]}, {"index": 2, "shape": [[0, 3, 0, 1], [2, 3, 1, 4]], "angle": 90, "flip": "none", "color": [0.18485780995210122, 0.8265364443197515, 0.6214626335028112]}, {"index": 0, "shape": [3, 4, 0, 4], "angle": 30, "flip": "none", "color": [0.29966205358997233, 0.09697437710727908, 0.8636883692270556]}], "variant": "irregular_assembly"}
q+steps
[ "yes", "no" ]
3x3_inst24_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, 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) = (0, 2). Step 3: Rotate piece C by about 90 degrees clockwise, and place piece C 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/3x3_inst24/assembly/3x3_inst24assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst24/assembly/3x3_inst24assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst24/assembly/3x3_inst24assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst24/assembly/3x3_inst24assembly_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 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) = (2, 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": [0.7128663156774877, 0.20321597181862183, 0.6465282105669317], "cell_center": [1.8660254037844386, 6.0]}, {"index": 1, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.3668565042280403, 0.7544321568579433, 0.022670156613330716], "cell_center": [5.598076211353316, 6.0]}, {"index": 2, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 2, 3], "color": [0.2714532942394723, 0.8400670830912441, 0.3547580632505397], "cell_center": [1.8660254037844386, 2.0]}], "variant": "assembly"}
q+steps
[ "no", "yes" ]
4x4_inst14_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, 2). Step 2: Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 2). Step 3: Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2). Step 4: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4). Step 5: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 4). Step 6: 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?
A
{"images": ["output_dir/Tangram_puzzle/4x4_inst14/perturbed_part/4x4_inst14perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst14/perturbed_part/4x4_inst14perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst14/perturbed_part/4x4_inst14perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst14/perturbed_part/4x4_inst14perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst14/perturbed_part/4x4_inst14perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst14/perturbed_part/4x4_inst14perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst14/perturbed_part/4x4_inst14perturbed_part_assembly_step_6.png"], "instructions": ["", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 2).", "Rotate piece E by about 30 degrees clockwise, and place piece E 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, 4).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 4).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4)."], "results": ["", "", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 3, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [2, 4, 0, 1], "color": [0.5631914090172505, 0.5804703370467916, 0.4790988214748605]}, {"index": 5, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [2, 4, 3, 4], "color": [0.8928397408510584, 0.20487579654854826, 0.908916065600491]}, {"index": 4, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 1, 3], "color": [0.23171741259592205, 0.12354035634812421, 0.9975313433534191]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.6561140073467281, 0.4764433888300178, 0.7238357704859639]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.15000823947344966, 0.4439607975953732, 0.1370434408981498]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 3, "w": 3.232050807568877, "h": 3.598076211353316, "label": "2x3", "piece": [0, 3, 0, 2], "color": [0.25169887858646867, 0.6011267349617215, 0.9995531297392487]}], "variant": "perturbed_part"}
q+steps
[ "no", "yes" ]
4x4_inst27_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 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4). Step 2: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1). Step 3: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4). Step 4: Rotate piece C by about 30 degrees clockwise, and place piece C 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?
A
{"images": ["output_dir/Tangram_puzzle/4x4_inst27/perturbed_part/4x4_inst27perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst27/perturbed_part/4x4_inst27perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst27/perturbed_part/4x4_inst27perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst27/perturbed_part/4x4_inst27perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst27/perturbed_part/4x4_inst27perturbed_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 D by about 30 degrees clockwise, and place piece D 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).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 4)."], "results": ["", "", "", "", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 60, "orig_width": 1, "orig_height": 3, "w": 3.098076211353316, "h": 2.3660254037844393, "label": "1x3", "piece": [0, 3, 0, 1], "color": [0.7760512609454071, 0.23147233408575651, 0.09518146844402253]}, {"index": 3, "angle": 30, "orig_width": 4, "orig_height": 1, "w": 3.964101615137755, "h": 2.8660254037844384, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.9816281227015189, 0.5664740351314982, 0.6376532394833729]}, {"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]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.24455951613028104, 0.36845158724774063, 0.3057028634543797]}], "variant": "perturbed_part"}
q+steps
[ "no", "yes" ]
3x3_inst13_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/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_only
[ "yes", "no" ]
4x4_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 30 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (2, 3). Step 2: Rotate piece C by about 30 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 4). Step 3: Rotate piece B by about 30 degrees clockwise. Place piece B with its lower-left corner at (x,y) = (0, 3). Step 4: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (3, 1). Step 5: Place piece E 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_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_5.png"], "instructions": ["", "Rotate piece D by about 30 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (2, 3).", "Rotate piece C by about 30 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 4).", "Rotate piece B by about 30 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) = (3, 1).", "Place piece E with its upper-left corner at (x,y) = (1, 4)."], "valid": true, "config": [{"index": 3, "shape": [0, 1, 3, 4], "angle": 30, "flip": "none", "color": [0.08568095338134385, 0.6682948586606138, 0.6055837889275328]}, {"index": 2, "shape": [1, 3, 2, 4], "angle": 30, "flip": "none", "color": [0.32195261495336813, 0.6322591244083937, 0.7762269388570919]}, {"index": 1, "shape": [3, 4, 1, 4], "angle": 30, "flip": "none", "color": [0.6391948573912559, 0.6949802608182306, 0.21433155875468102]}, {"index": 0, "shape": [1, 4, 0, 1], "angle": 90, "flip": "none", "color": [0.3767840683317317, 0.9804349782325034, 0.6211477157651492]}, {"index": 4, "shape": [[1, 3, 1, 2], [0, 1, 0, 3]], "angle": 0, "flip": "none", "color": [0.726034657723742, 0.14100632109447608, 0.1515951180124674]}], "variant": "irregular_assembly"}
q+steps
[ "no", "yes" ]
4x4_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/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_only
[ "yes", "no" ]
4x4_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 D by about 60 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (1, 3). Step 2: Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (3, 1). Step 3: Rotate piece E by about 30 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (3, 2). Step 4: Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1). Step 5: Place piece F with its upper-left corner at (x,y) = (0, 4). Step 6: 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_inst6/irregular_assembly/4x4_inst6irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst6/irregular_assembly/4x4_inst6irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst6/irregular_assembly/4x4_inst6irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst6/irregular_assembly/4x4_inst6irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst6/irregular_assembly/4x4_inst6irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst6/irregular_assembly/4x4_inst6irregular_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst6/irregular_assembly/4x4_inst6irregular_assembly_step_6.png"], "instructions": ["", "Rotate piece D by about 60 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (1, 3).", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (3, 1).", "Rotate piece E by about 30 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (3, 2).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1).", "Place piece F with its upper-left corner at (x,y) = (0, 4).", "Place piece C with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 3, "shape": [0, 1, 3, 4], "angle": 60, "flip": "none", "color": [0.4742989639644474, 0.909668014873498, 0.8681758927696834]}, {"index": 1, "shape": [1, 3, 1, 3], "angle": 90, "flip": "none", "color": [0.13437439136796736, 0.27065887983250636, 0.2175623391262027]}, {"index": 4, "shape": [1, 2, 3, 4], "angle": 30, "flip": "none", "color": [0.5266413491581361, 0.1750305330495292, 0.268226050316132]}, {"index": 0, "shape": [1, 3, 0, 1], "angle": 30, "flip": "none", "color": [0.5642191206300475, 0.5266511236435065, 0.01583621582154371]}, {"index": 5, "shape": [[3, 4, 0, 3], [2, 4, 3, 4]], "angle": 0, "flip": "none", "color": [0.04043697446808392, 0.08054772670054255, 0.40755271819790273]}, {"index": 2, "shape": [0, 1, 0, 3], "angle": 0, "flip": "none", "color": [0.36824799770838956, 0.17303561687252822, 0.932534384866424]}], "variant": "irregular_assembly"}
q+steps
[ "yes", "no" ]
4x4_inst2_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 E by about 90 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (1, 4). Step 2: Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 3). Step 3: Rotate piece F by about 30 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (2, 4). Step 4: Rotate piece D by about 30 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4). Step 5: Place piece B with its upper-left corner at (x,y) = (2, 3). Step 6: Rotate piece A by about 60 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/4x4_inst2/irregular_assembly/4x4_inst2irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst2/irregular_assembly/4x4_inst2irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst2/irregular_assembly/4x4_inst2irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst2/irregular_assembly/4x4_inst2irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst2/irregular_assembly/4x4_inst2irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst2/irregular_assembly/4x4_inst2irregular_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst2/irregular_assembly/4x4_inst2irregular_assembly_step_6.png"], "instructions": ["", "Rotate piece E by about 90 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (1, 4).", "Rotate piece C by about 90 degrees clockwise. 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) = (2, 4).", "Rotate piece D by about 30 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4).", "Place piece B with its upper-left corner at (x,y) = (2, 3).", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2)."], "valid": true, "config": [{"index": 4, "shape": [3, 4, 2, 4], "angle": 90, "flip": "none", "color": [0.4062185845144768, 0.82080352213676, 0.12435592468962808]}, {"index": 2, "shape": [3, 4, 0, 1], "angle": 90, "flip": "none", "color": [0.5214964160883804, 0.14197386071806894, 0.6150886066496369]}, {"index": 5, "shape": [[0, 2, 0, 2], [0, 1, 2, 4]], "angle": 30, "flip": "none", "color": [0.09465920484769241, 0.5230886510184202, 0.29886511441981023]}, {"index": 3, "shape": [3, 4, 1, 2], "angle": 30, "flip": "none", "color": [0.6355020062380002, 0.8225754659177894, 0.9905175449642316]}, {"index": 1, "shape": [1, 3, 2, 4], "angle": 0, "flip": "none", "color": [0.6569014157009531, 0.2313466861102611, 0.010872417072518958]}, {"index": 0, "shape": [2, 3, 0, 2], "angle": 60, "flip": "none", "color": [0.4909418154450287, 0.8295599853485568, 0.8848537987406436]}], "variant": "irregular_assembly"}
q+steps
[ "no", "yes" ]
4x4_inst11_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_inst11/perturbed_part/4x4_inst11perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst11/perturbed_part/4x4_inst11perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst11/perturbed_part/4x4_inst11perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst11/perturbed_part/4x4_inst11perturbed_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).", "Rotate piece C by about 90 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) = (3, 4)."], "results": ["", "", "", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 60, "orig_width": 3, "orig_height": 2, "w": 3.2320508075688776, "h": 3.598076211353316, "label": "3x2", "piece": [0, 2, 0, 3], "color": [0.590194494564307, 0.8146086514121477, 0.17186877412793822]}, {"index": 2, "angle": 90, "orig_width": 4, "orig_height": 2, "w": 2.0000000000000004, "h": 4.0, "label": "2x4", "piece": [2, 4, 0, 4], "color": [0.21016152453789094, 0.9415963033779045, 0.8255857971856693]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 3, "w": 3.0, "h": 2.0, "label": "3x2", "piece": [0, 3, 3, 5], "color": [0.2617125427976732, 0.3180100977057472, 0.9938777587600973]}], "variant": "perturbed_part"}
q_only
[ "no", "yes" ]
3x3_inst24_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_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_only
[ "yes", "no" ]
4x4_inst6_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 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4). Step 2: 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: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3). Step 5: Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (0, 1). Step 6: Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3). Step 7: Rotate piece F by about 90 degrees clockwise, and place piece F 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?
B
{"images": ["output_dir/Tangram_puzzle/4x4_inst6/assembly/4x4_inst6assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst6/assembly/4x4_inst6assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst6/assembly/4x4_inst6assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst6/assembly/4x4_inst6assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst6/assembly/4x4_inst6assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst6/assembly/4x4_inst6assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst6/assembly/4x4_inst6assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst6/assembly/4x4_inst6assembly_step_7.png"], "instructions": ["", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).", "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).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece G by about 90 degrees clockwise, and place piece G 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) = (3, 3).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 2)."], "valid": true, "config": [{"index": 1, "angle": 90, "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], "cell_center": [6.0, 10.0]}, {"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], "cell_center": [2.0, 10.0]}, {"index": 3, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.4742989639644474, 0.909668014873498, 0.8681758927696834], "cell_center": [2.0, 6.0]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.36824799770838956, 0.17303561687252822, 0.932534384866424], "cell_center": [10.0, 10.0]}, {"index": 6, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [3, 4, 0, 3], "color": [0.1635602218612643, 0.9092079607736911, 0.9337866032490502], "cell_center": [2.0, 2.0]}, {"index": 4, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [1, 2, 3, 4], "color": [0.5266413491581361, 0.1750305330495292, 0.268226050316132], "cell_center": [6.0, 6.0]}, {"index": 5, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [2, 4, 3, 4], "color": [0.04043697446808392, 0.08054772670054255, 0.40755271819790273], "cell_center": [10.0, 6.0]}], "variant": "assembly"}
q+steps
[ "no", "yes" ]
4x4_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/4x4_inst19/irregular_assembly/4x4_inst19irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst19/irregular_assembly/4x4_inst19irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst19/irregular_assembly/4x4_inst19irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst19/irregular_assembly/4x4_inst19irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst19/irregular_assembly/4x4_inst19irregular_assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (2, 1).", "Rotate piece C by about 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 3).", "Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 4).", "Place piece B with its lower-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 0, "shape": [3, 4, 0, 4], "angle": 60, "flip": "none", "color": [0.952951108351252, 0.41844418587893295, 0.20783217104778784]}, {"index": 2, "shape": [0, 1, 2, 4], "angle": 60, "flip": "none", "color": [0.9646222808065529, 0.17286663433434668, 0.9197129911831481]}, {"index": 3, "shape": [[0, 2, 0, 2], [1, 3, 2, 4]], "angle": 90, "flip": "none", "color": [0.8421463017266881, 0.998579446834601, 0.828081664466033]}, {"index": 1, "shape": [2, 3, 0, 2], "angle": 0, "flip": "none", "color": [0.2136068442754907, 0.9077636730804951, 0.008593383588581083]}], "variant": "irregular_assembly"}
q_only
[ "yes", "no" ]
3x3_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?
A
{"images": ["output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_4.png"], "instructions": ["", "Rotate piece B by about 90 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) = (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 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2)."], "valid": true, "config": [{"index": 1, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 1, 3], "color": [0.9048699719372921, 0.07001798964152184, 0.5974823649881674], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 2, 3], "color": [0.7676425093614947, 0.24713964046947057, 0.3655219928054467], "cell_center": [5.598076211353316, 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": [0.9976490339368843, 0.4943065670172001, 0.5594239487418055], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.10823406854150919, 0.5033344127325038, 0.9895981043015385], "cell_center": [1.8660254037844388, 1.8660254037844388]}], "variant": "assembly"}
q_only
[ "yes", "no" ]
4x4_inst10_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 D with its upper-left corner at (x,y) = (2, 4). Step 2: Rotate piece C by about 30 degrees clockwise. Flip piece C vertically. Place piece C with its upper-left corner at (x,y) = (0, 3). Step 3: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1). Step 4: Rotate piece E by about 30 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (0, 4). Step 5: Rotate piece B by about 30 degrees clockwise. Place piece B 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_inst10/irregular_assembly/4x4_inst10irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst10/irregular_assembly/4x4_inst10irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst10/irregular_assembly/4x4_inst10irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst10/irregular_assembly/4x4_inst10irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst10/irregular_assembly/4x4_inst10irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst10/irregular_assembly/4x4_inst10irregular_assembly_step_5.png"], "instructions": ["", "Place piece D with its upper-left corner at (x,y) = (2, 4).", "Rotate piece C by about 30 degrees clockwise. Flip piece C vertically. Place piece C 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) = (0, 1).", "Rotate piece E by about 30 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (0, 4).", "Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (2, 1)."], "valid": true, "config": [{"index": 3, "shape": [0, 1, 2, 4], "angle": 0, "flip": "none", "color": [0.7227327947376154, 0.03867259473351192, 0.7187065902508578]}, {"index": 2, "shape": [0, 1, 0, 2], "angle": 30, "flip": "vertical", "color": [0.6583796654906042, 0.6756935160824654, 0.35383825296178073]}, {"index": 0, "shape": [3, 4, 0, 2], "angle": 90, "flip": "none", "color": [0.985913636595184, 0.05054811512912383, 0.006039335896045883]}, {"index": 4, "shape": [[1, 3, 0, 2], [1, 2, 2, 4]], "angle": 30, "flip": "none", "color": [0.25836663280757977, 0.2609931063406825, 0.8704001126195765]}, {"index": 1, "shape": [2, 4, 2, 4], "angle": 30, "flip": "none", "color": [0.7647943845442875, 0.521793038303051, 0.22931721031735863]}], "variant": "irregular_assembly"}
q+steps
[ "yes", "no" ]
3x3_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 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 90 degrees clockwise, and place piece C 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/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+steps
[ "no", "yes" ]
3x3_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/3x3_inst0/perturbed_part/3x3_inst0perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst0/perturbed_part/3x3_inst0perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst0/perturbed_part/3x3_inst0perturbed_part_assembly_step_2.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) = (1, 3).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1)."], "results": ["", "", "Over board", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 0, 1], "color": [0.5107935611666639, 0.5856039458335469, 0.7112698396749424]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 4, "w": 4.0, "h": 1.0000000000000002, "label": "4x1", "piece": [0, 4, 1, 2], "color": [0.3256280422330665, 0.5203129240964942, 0.7395819324105462]}, {"index": 2, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.8422134984480056, 0.15250547228228883, 0.5324273953128456]}], "variant": "perturbed_part"}
q_only
[ "no", "yes" ]
3x3_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/3x3_inst25/assembly/3x3_inst25assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst25/assembly/3x3_inst25assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst25/assembly/3x3_inst25assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst25/assembly/3x3_inst25assembly_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 B by about 90 degrees clockwise, and 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)."], "valid": true, "config": [{"index": 0, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 0, 1], "color": [0.3682140433334865, 0.08970897647428389, 0.502425376239822], "cell_center": [1.6830127018922196, 6.147114317029974]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.5344029398630591, 0.9891697464278887, 0.21703088700988227], "cell_center": [5.049038105676659, 6.147114317029974]}, {"index": 2, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.04014975225319073, 0.7060719947405601, 0.7632273797026523], "cell_center": [1.6830127018922196, 2.049038105676658]}], "variant": "assembly"}
q_only
[ "no", "yes" ]
3x3_inst12_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 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1). Step 2: Rotate piece B by about 90 degrees clockwise. Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 3). Step 3: Rotate piece C by about 90 degrees clockwise. 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?
A
{"images": ["output_dir/Tangram_puzzle/3x3_inst12/irregular_assembly/3x3_inst12irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst12/irregular_assembly/3x3_inst12irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst12/irregular_assembly/3x3_inst12irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst12/irregular_assembly/3x3_inst12irregular_assembly_step_3.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1).", "Rotate piece B by about 90 degrees clockwise. Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (2, 3)."], "valid": true, "config": [{"index": 0, "shape": [1, 3, 2, 3], "angle": 60, "flip": "none", "color": [0.9103403361123941, 0.38267590340608304, 0.7632217986287583]}, {"index": 1, "shape": [0, 1, 0, 1], "angle": 90, "flip": "horizontal", "color": [0.946796380694129, 0.7835046474330913, 0.11945153897003868]}, {"index": 2, "shape": [[1, 3, 0, 2], [0, 1, 1, 3]], "angle": 90, "flip": "none", "color": [0.4602759030241912, 0.5263411433589661, 0.5878592840681638]}], "variant": "irregular_assembly"}
q+steps
[ "yes", "no" ]
4x4_inst26_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_inst26/irregular_assembly/4x4_inst26irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst26/irregular_assembly/4x4_inst26irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst26/irregular_assembly/4x4_inst26irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (2, 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, 2, 4], "angle": 90, "flip": "none", "color": [0.2046771522625852, 0.6943746193771417, 0.047460348425434895]}, {"index": 1, "shape": [[3, 4, 0, 4], [0, 3, 0, 2]], "angle": 60, "flip": "vertical", "color": [0.31277665174922176, 0.35495538459548914, 0.3185787817539524]}], "variant": "irregular_assembly"}
q_only
[ "no", "yes" ]
4x4_inst10_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) = (2, 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 F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 1). Step 4: Place piece A with its upper-left corner at (x, y) = (0, 4). 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 D by about 60 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?
B
{"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+steps
[ "yes", "no" ]
4x4_inst20_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_inst20/irregular_assembly/4x4_inst20irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst20/irregular_assembly/4x4_inst20irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst20/irregular_assembly/4x4_inst20irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst20/irregular_assembly/4x4_inst20irregular_assembly_step_3.png"], "instructions": ["", " Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece C by about 90 degrees clockwise. Place piece C 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": 1, "shape": [0, 2, 1, 4], "angle": 0, "flip": "horizontal", "color": [0.6495522933888194, 0.5813963139566096, 0.8481586539915731]}, {"index": 2, "shape": [[0, 3, 0, 1], [2, 3, 1, 4]], "angle": 90, "flip": "none", "color": [0.18485780995210122, 0.8265364443197515, 0.6214626335028112]}, {"index": 0, "shape": [3, 4, 0, 4], "angle": 30, "flip": "none", "color": [0.29966205358997233, 0.09697437710727908, 0.8636883692270556]}], "variant": "irregular_assembly"}
q_only
[ "yes", "no" ]
4x4_inst12_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_inst12/assembly/4x4_inst12assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst12/assembly/4x4_inst12assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst12/assembly/4x4_inst12assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst12/assembly/4x4_inst12assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst12/assembly/4x4_inst12assembly_step_4.png"], "instructions": ["", "Place piece B with its upper-left corner at (x, y) = (3, 4).", "Place piece D with its upper-left corner at (x, y) = (0, 1).", "Place piece C 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)."], "valid": true, "config": [{"index": 1, "angle": 0, "orig_width": 1, "orig_height": 3, "w": 1.0, "h": 3.0, "label": "1x3", "piece": [0, 3, 3, 4], "color": [0.6933282349034623, 0.28464064197742567, 0.5984440934517744], "cell_center": [7.5, 6.348076211353315]}, {"index": 3, "angle": 0, "orig_width": 4, "orig_height": 1, "w": 4.0, "h": 1.0, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.8799540670390662, 0.016815702542142485, 0.6851494150554925], "cell_center": [7.5, 2.1160254037844384]}, {"index": 2, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.49483518787283254, 0.25660426038958584, 0.4007459306539174], "cell_center": [2.5, 2.1160254037844384]}, {"index": 0, "angle": 30, "orig_width": 3, "orig_height": 2, "w": 3.598076211353316, "h": 3.232050807568877, "label": "3x2", "piece": [0, 2, 0, 3], "color": [0.8269286759639897, 0.28853959708119414, 0.11506735623330777], "cell_center": [2.5, 6.348076211353315]}], "variant": "assembly"}
q_only
[ "no", "yes" ]
4x4_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 E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3). Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 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: Place piece F 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, 3). Step 6: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (0, 1). 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_inst8/assembly/4x4_inst8assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst8/assembly/4x4_inst8assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst8/assembly/4x4_inst8assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst8/assembly/4x4_inst8assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst8/assembly/4x4_inst8assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst8/assembly/4x4_inst8assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst8/assembly/4x4_inst8assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst8/assembly/4x4_inst8assembly_step_7.png"], "instructions": ["", "Rotate piece E by about 30 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 A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Place piece F 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, 3).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (0, 1).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3)."], "valid": true, "config": [{"index": 4, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [1, 2, 3, 4], "color": [0.7918351590524052, 0.539204813032439, 0.47469005514533036], "cell_center": [6.147114317029974, 6.0]}, {"index": 1, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [0, 1, 1, 4], "color": [0.43734772906443453, 0.7140607992935755, 0.5214252728488368], "cell_center": [6.147114317029974, 10.0]}, {"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], "cell_center": [2.049038105676658, 10.0]}, {"index": 5, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [2, 4, 3, 4], "color": [0.17104429060676052, 0.31991486174124684, 0.7751148512375546], "cell_center": [10.24519052838329, 6.0]}, {"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], "cell_center": [10.24519052838329, 10.0]}, {"index": 6, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [3, 4, 0, 3], "color": [0.8441902472414256, 0.8605058939309127, 0.9086859759671123], "cell_center": [2.049038105676658, 2.0]}, {"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], "cell_center": [2.049038105676658, 6.0]}], "variant": "assembly"}
q+steps
[ "yes", "no" ]
3x3_inst11_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_inst11/perturbed_part/3x3_inst11perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst11/perturbed_part/3x3_inst11perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst11/perturbed_part/3x3_inst11perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst11/perturbed_part/3x3_inst11perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst11/perturbed_part/3x3_inst11perturbed_part_assembly_step_4.png"], "instructions": ["", "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 60 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) = (0, 2).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1)."], "results": ["", "", "", "", "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, 1, 3], "color": [0.727812832035729, 0.9023721118321468, 0.059719741721927844]}, {"index": 0, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.20466808994905894, 0.704066164831489, 0.6231877093078216]}, {"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]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.23985888086755924, 0.7872591585621378, 0.16215212325280537]}], "variant": "perturbed_part"}
q_only
[ "no", "yes" ]
3x3_inst14_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_inst14/perturbed_part/3x3_inst14perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst14/perturbed_part/3x3_inst14perturbed_part_assembly_step_1.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) = (0, 2).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2)."], "results": ["", "Over board", "Overlap", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 90, "orig_width": 4, "orig_height": 2, "w": 2.0000000000000004, "h": 4.0, "label": "2x4", "piece": [0, 2, 0, 4], "color": [0.6986416373362043, 0.39103013274436993, 0.7338256355090964]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 0, 1], "color": [0.7375466272024475, 0.7958785429353309, 0.9602750500929624]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.7571710444334083, 0.6145865680611448, 0.2092124857635973]}], "variant": "perturbed_part"}
q_only
[ "yes", "no" ]
3x3_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/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_only
[ "yes", "no" ]
3x3_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 D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 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: 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 C by about 30 degrees clockwise, and place piece C 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/3x3_inst23/assembly/3x3_inst23assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst23/assembly/3x3_inst23assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst23/assembly/3x3_inst23assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst23/assembly/3x3_inst23assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst23/assembly/3x3_inst23assembly_step_4.png"], "instructions": ["", "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 30 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).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1)."], "valid": true, "config": [{"index": 3, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.16858591960978841, 0.08544656496515068, 0.11494367118197413], "cell_center": [5.598076211353316, 1.8660254037844388]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.6294248924659861, 0.3328326929596823, 0.09034406811739082], "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": [0.02981754658528879, 0.27867823105972955, 0.046516018756367794], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.9963442161344365, 0.11387330077903723, 0.2799037066005946], "cell_center": [1.8660254037844388, 1.8660254037844388]}], "variant": "assembly"}
q+steps
[ "no", "yes" ]
4x4_inst17_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. Place piece A with its upper-left corner at (x,y) = (3, 2). Step 2: Rotate piece C by about 60 degrees clockwise. Flip piece C horizontally. Place piece C with its lower-left corner at (x,y) = (1, 4). Step 3: Place piece D with its upper-left corner at (x,y) = (0, 4). Step 4: Place piece B 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/irregular_assembly/4x4_inst17irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst17/irregular_assembly/4x4_inst17irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst17/irregular_assembly/4x4_inst17irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst17/irregular_assembly/4x4_inst17irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst17/irregular_assembly/4x4_inst17irregular_assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (3, 2).", "Rotate piece C by about 60 degrees clockwise. Flip piece C horizontally. Place piece C with its lower-left corner at (x,y) = (1, 4).", "Place piece D with its upper-left corner at (x,y) = (0, 4).", "Place piece B with its upper-left corner at (x,y) = (0, 2)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 3, 4], "angle": 60, "flip": "none", "color": [0.3209357623770135, 0.4919116750200321, 0.05254088833875614]}, {"index": 2, "shape": [0, 2, 0, 1], "angle": 60, "flip": "horizontal", "color": [0.8024254343287276, 0.5212933415712149, 0.6519422431117098]}, {"index": 3, "shape": [[2, 4, 2, 4], [0, 2, 1, 3]], "angle": 0, "flip": "none", "color": [0.9578521580074713, 0.8815921980787345, 0.19295089472973515]}, {"index": 1, "shape": [2, 4, 0, 2], "angle": 0, "flip": "none", "color": [0.06114350981419958, 0.30119771230277814, 0.1293300317914955]}], "variant": "irregular_assembly"}
q+steps
[ "no", "yes" ]
3x3_inst14_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. Flip piece A horizontally. Place piece A with its lower-left corner at (x,y) = (0, 3). Step 2: Rotate piece B by about 30 degrees clockwise. 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?
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+steps
[ "yes", "no" ]
3x3_inst20_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/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_only
[ "no", "yes" ]
4x4_inst11_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 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4). 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 B by about 90 degrees clockwise, and place piece B 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?
B
{"images": ["output_dir/Tangram_puzzle/4x4_inst11/perturbed_part/4x4_inst11perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst11/perturbed_part/4x4_inst11perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst11/perturbed_part/4x4_inst11perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst11/perturbed_part/4x4_inst11perturbed_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).", "Rotate piece C by about 90 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) = (3, 4)."], "results": ["", "", "", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 60, "orig_width": 3, "orig_height": 2, "w": 3.2320508075688776, "h": 3.598076211353316, "label": "3x2", "piece": [0, 2, 0, 3], "color": [0.590194494564307, 0.8146086514121477, 0.17186877412793822]}, {"index": 2, "angle": 90, "orig_width": 4, "orig_height": 2, "w": 2.0000000000000004, "h": 4.0, "label": "2x4", "piece": [2, 4, 0, 4], "color": [0.21016152453789094, 0.9415963033779045, 0.8255857971856693]}, {"index": 1, "angle": 90, "orig_width": 2, "orig_height": 3, "w": 3.0, "h": 2.0, "label": "3x2", "piece": [0, 3, 3, 5], "color": [0.2617125427976732, 0.3180100977057472, 0.9938777587600973]}], "variant": "perturbed_part"}
q+steps
[ "yes", "no" ]
4x4_inst9_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_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst9/irregular_assembly/4x4_inst9irregular_assembly_step_5.png"], "instructions": ["", "Rotate piece D by about 30 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (2, 3).", "Rotate piece C by about 30 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 4).", "Rotate piece B by about 30 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) = (3, 1).", "Place piece E with its upper-left corner at (x,y) = (1, 4)."], "valid": true, "config": [{"index": 3, "shape": [0, 1, 3, 4], "angle": 30, "flip": "none", "color": [0.08568095338134385, 0.6682948586606138, 0.6055837889275328]}, {"index": 2, "shape": [1, 3, 2, 4], "angle": 30, "flip": "none", "color": [0.32195261495336813, 0.6322591244083937, 0.7762269388570919]}, {"index": 1, "shape": [3, 4, 1, 4], "angle": 30, "flip": "none", "color": [0.6391948573912559, 0.6949802608182306, 0.21433155875468102]}, {"index": 0, "shape": [1, 4, 0, 1], "angle": 90, "flip": "none", "color": [0.3767840683317317, 0.9804349782325034, 0.6211477157651492]}, {"index": 4, "shape": [[1, 3, 1, 2], [0, 1, 0, 3]], "angle": 0, "flip": "none", "color": [0.726034657723742, 0.14100632109447608, 0.1515951180124674]}], "variant": "irregular_assembly"}
q_only
[ "yes", "no" ]
3x3_inst6_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_inst6/irregular_assembly/3x3_inst6irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst6/irregular_assembly/3x3_inst6irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst6/irregular_assembly/3x3_inst6irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).", " Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 0, 2], "angle": 60, "flip": "none", "color": [0.10309243167421278, 0.24076261322195902, 0.2100689922963226]}, {"index": 1, "shape": [[2, 3, 0, 3], [0, 2, 2, 3]], "angle": 0, "flip": "horizontal", "color": [0.6512655327908536, 0.8401929301826332, 0.8460989766654483]}], "variant": "irregular_assembly"}
q_only
[ "yes", "no" ]
3x3_inst4_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_inst4/assembly/3x3_inst4assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst4/assembly/3x3_inst4assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst4/assembly/3x3_inst4assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst4/assembly/3x3_inst4assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst4/assembly/3x3_inst4assembly_step_4.png"], "instructions": ["", "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).", "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)."], "valid": true, "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": [0.2781238656332754, 0.3149691097007876, 0.8834243520527705], "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": [0.2926298809515543, 0.23058311511659102, 0.3786033753419644], "cell_center": [4.5, 1.6160254037844386]}, {"index": 2, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [2, 3, 0, 1], "color": [0.6744683957180527, 0.765436016656263, 0.5757777482665812], "cell_center": [1.5, 1.6160254037844386]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.4955604281106083, 0.23218544540889552, 0.750238147366625], "cell_center": [1.5, 4.848076211353316]}], "variant": "assembly"}
q_only
[ "yes", "no" ]
3x3_inst26_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 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) = (2, 3). Step 3: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 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?
B
{"images": ["output_dir/Tangram_puzzle/3x3_inst26/perturbed_part/3x3_inst26perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst26/perturbed_part/3x3_inst26perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst26/perturbed_part/3x3_inst26perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst26/perturbed_part/3x3_inst26perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst26/perturbed_part/3x3_inst26perturbed_part_assembly_step_4.png"], "instructions": ["", "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, 3).", "Rotate piece D by about 30 degrees clockwise, and place piece D 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)."], "results": ["", "", "", "", "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": [0.1762969342918307, 0.2700538547336413, 0.9959210428826512]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.769985114119021, 0.6023151000208017, 0.43905466192464926]}, {"index": 3, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.7902874398047327, 0.9053459516385535, 0.6109399886078966]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.8601757328506661, 0.8373920802150087, 0.4098927320047637]}], "variant": "perturbed_part"}
q+steps
[ "yes", "no" ]
3x3_inst23_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_inst23/assembly/3x3_inst23assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst23/assembly/3x3_inst23assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst23/assembly/3x3_inst23assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst23/assembly/3x3_inst23assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst23/assembly/3x3_inst23assembly_step_4.png"], "instructions": ["", "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 30 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).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1)."], "valid": true, "config": [{"index": 3, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.16858591960978841, 0.08544656496515068, 0.11494367118197413], "cell_center": [5.598076211353316, 1.8660254037844388]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.6294248924659861, 0.3328326929596823, 0.09034406811739082], "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": [0.02981754658528879, 0.27867823105972955, 0.046516018756367794], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.9963442161344365, 0.11387330077903723, 0.2799037066005946], "cell_center": [1.8660254037844388, 1.8660254037844388]}], "variant": "assembly"}
q_only
[ "no", "yes" ]
3x3_inst20_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: Flip piece B vertically. Place piece B with its lower-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) = (2, 2). Step 3: Rotate piece C by about 30 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?
A
{"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+steps
[ "yes", "no" ]
4x4_inst12_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_inst12/irregular_assembly/4x4_inst12irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst12/irregular_assembly/4x4_inst12irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst12/irregular_assembly/4x4_inst12irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst12/irregular_assembly/4x4_inst12irregular_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, 3).", "Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 2).", "Rotate piece C by about 30 degrees clockwise. Flip piece C vertically. Place piece C with its upper-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 0, "shape": [0, 3, 3, 4], "angle": 90, "flip": "none", "color": [0.8269286759639897, 0.28853959708119414, 0.11506735623330777]}, {"index": 1, "shape": [0, 2, 0, 3], "angle": 30, "flip": "none", "color": [0.6933282349034623, 0.28464064197742567, 0.5984440934517744]}, {"index": 2, "shape": [[3, 4, 0, 4], [2, 3, 0, 3]], "angle": 30, "flip": "vertical", "color": [0.49483518787283254, 0.25660426038958584, 0.4007459306539174]}], "variant": "irregular_assembly"}
q_only
[ "no", "yes" ]
3x3_inst3_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_inst3/assembly/3x3_inst3assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst3/assembly/3x3_inst3assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst3/assembly/3x3_inst3assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst3/assembly/3x3_inst3assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst3/assembly/3x3_inst3assembly_step_4.png"], "instructions": ["", "Rotate piece B by about 60 degrees clockwise, and 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, 2).", "Place piece D with its upper-left corner at (x, y) = (2, 2).", "Place piece A with its upper-left corner at (x, y) = (0, 3)."], "valid": true, "config": [{"index": 1, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [0, 1, 1, 3], "color": [0.17413619213984544, 0.539393258896573, 0.7469777807902688], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.39620311885379433, 0.3597929969599728, 0.413678806220555], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"index": 3, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [1, 3, 2, 3], "color": [0.16349340438282878, 0.21139582589822659, 0.2570028333453004], "cell_center": [5.598076211353316, 1.8660254037844388]}, {"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], "cell_center": [1.8660254037844388, 5.598076211353316]}], "variant": "assembly"}
q_only
[ "yes", "no" ]
4x4_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 A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4). 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) = (1, 2). Step 4: 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_inst7/assembly/4x4_inst7assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst7/assembly/4x4_inst7assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst7/assembly/4x4_inst7assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst7/assembly/4x4_inst7assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst7/assembly/4x4_inst7assembly_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).", "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) = (1, 2).", "Place piece B with its upper-left corner at (x, y) = (1, 4)."], "valid": true, "config": [{"index": 0, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 0, 1], "color": [0.0038464181562460897, 0.5456025205471018, 0.8316288348193334], "cell_center": [2.299038105676658, 6.348076211353315]}, {"index": 2, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [2, 4, 0, 1], "color": [0.18526689525137774, 0.6222333081082303, 0.3116245006929087], "cell_center": [2.299038105676658, 2.1160254037844384]}, {"index": 3, "angle": 30, "orig_width": 3, "orig_height": 2, "w": 3.598076211353316, "h": 3.232050807568877, "label": "3x2", "piece": [2, 4, 1, 4], "color": [0.19476840970141396, 0.68707522398946, 0.14366332946109706], "cell_center": [6.897114317029974, 2.1160254037844384]}, {"index": 1, "angle": 0, "orig_width": 3, "orig_height": 2, "w": 3.0, "h": 2.0, "label": "3x2", "piece": [0, 2, 1, 4], "color": [0.5883107006707854, 0.8743059263428191, 0.51136848550568], "cell_center": [6.897114317029974, 6.348076211353315]}], "variant": "assembly"}
q+steps
[ "no", "yes" ]
3x3_inst3_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 A with its upper-left corner at (x,y) = (1, 1). Step 2: Place piece B with its upper-left corner at (x,y) = (0, 3). Step 3: Rotate piece C by about 60 degrees clockwise. 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/3x3_inst3/irregular_assembly/3x3_inst3irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst3/irregular_assembly/3x3_inst3irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst3/irregular_assembly/3x3_inst3irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst3/irregular_assembly/3x3_inst3irregular_assembly_step_3.png"], "instructions": ["", "Place piece A with its upper-left corner at (x,y) = (1, 1).", "Place piece B with its upper-left corner at (x,y) = (0, 3).", "Rotate piece C by about 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (2, 3)."], "valid": true, "config": [{"index": 0, "shape": [1, 3, 2, 3], "angle": 0, "flip": "none", "color": [0.3390410963415108, 0.7053312771029449, 0.11207793212756367]}, {"index": 1, "shape": [0, 1, 1, 3], "angle": 0, "flip": "none", "color": [0.17413619213984544, 0.539393258896573, 0.7469777807902688]}, {"index": 2, "shape": [[1, 3, 0, 2], [0, 1, 0, 1]], "angle": 60, "flip": "none", "color": [0.39620311885379433, 0.3597929969599728, 0.413678806220555]}], "variant": "irregular_assembly"}
q+steps
[ "no", "yes" ]
3x3_inst9_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_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_only
[ "yes", "no" ]
4x4_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: Rotate piece F by about 90 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (2, 4). 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) = (1, 2). Step 3: Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 3). Step 4: Place piece A with its upper-left corner at (x,y) = (0, 1). Step 5: Place piece D with its upper-left corner at (x,y) = (3, 2). Step 6: Rotate piece E by about 60 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (1, 4). Step 7: Rotate piece G by about 60 degrees clockwise. Place piece G 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_inst3/irregular_assembly/4x4_inst3irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst3/irregular_assembly/4x4_inst3irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst3/irregular_assembly/4x4_inst3irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst3/irregular_assembly/4x4_inst3irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst3/irregular_assembly/4x4_inst3irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst3/irregular_assembly/4x4_inst3irregular_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst3/irregular_assembly/4x4_inst3irregular_assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst3/irregular_assembly/4x4_inst3irregular_assembly_step_7.png"], "instructions": ["", "Rotate piece F by about 90 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (2, 4).", "Rotate piece B by about 90 degrees clockwise. Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (1, 2).", "Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 3).", "Place piece A with its upper-left corner at (x,y) = (0, 1).", "Place piece D with its upper-left corner at (x,y) = (3, 2).", "Rotate piece E by about 60 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (1, 4).", "Rotate piece G by about 60 degrees clockwise. Place piece G with its upper-left corner at (x,y) = (0, 4)."], "valid": true, "config": [{"index": 5, "shape": [1, 2, 3, 4], "angle": 90, "flip": "none", "color": [0.4972346165255138, 0.8906984233290346, 0.7562452955907089]}, {"index": 1, "shape": [2, 4, 2, 4], "angle": 90, "flip": "vertical", "color": [0.7422122588815101, 0.7551189736163385, 0.9234718311827813]}, {"index": 2, "shape": [0, 1, 0, 1], "angle": 90, "flip": "none", "color": [0.9449625741817751, 0.10699177732051413, 0.906832733107004]}, {"index": 0, "shape": [2, 4, 1, 2], "angle": 0, "flip": "none", "color": [0.54590476492727, 0.8017288265026836, 0.19702177212746563]}, {"index": 3, "shape": [1, 3, 0, 1], "angle": 0, "flip": "none", "color": [0.09413549272860999, 0.7680476368577523, 0.4128776322048002]}, {"index": 4, "shape": [3, 4, 0, 1], "angle": 60, "flip": "none", "color": [0.6840121753279651, 0.8419883108103203, 0.07133341675213412]}, {"index": 6, "shape": [[0, 1, 1, 4], [1, 2, 1, 3]], "angle": 60, "flip": "none", "color": [0.6703174692655477, 0.09045368054856773, 0.1109174370728383]}], "variant": "irregular_assembly"}
q+steps
[ "yes", "no" ]
4x4_inst15_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_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_only
[ "yes", "no" ]
4x4_inst0_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. 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) = (1, 4). Step 3: Rotate piece B by about 30 degrees clockwise. Place piece B with its lower-left corner at (x,y) = (2, 4). Step 4: Rotate piece C by about 30 degrees clockwise. Place piece C 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_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+steps
[ "no", "yes" ]
4x4_inst23_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_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_only
[ "yes", "no" ]
4x4_inst1_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 D with its upper-left corner at (x,y) = (0, 4). Step 2: Rotate piece E by about 30 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (2, 4). Step 3: Rotate piece B by about 60 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 3). Step 4: Place piece A with its upper-left corner at (x,y) = (2, 2). Step 5: Rotate piece C by about 30 degrees clockwise. Place piece C 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/4x4_inst1/irregular_assembly/4x4_inst1irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst1/irregular_assembly/4x4_inst1irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst1/irregular_assembly/4x4_inst1irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst1/irregular_assembly/4x4_inst1irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst1/irregular_assembly/4x4_inst1irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst1/irregular_assembly/4x4_inst1irregular_assembly_step_5.png"], "instructions": ["", "Place piece D with its upper-left corner at (x,y) = (0, 4).", "Rotate piece E by about 30 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (2, 4).", "Rotate piece B by about 60 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 3).", "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) = (1, 3)."], "valid": true, "config": [{"index": 3, "shape": [3, 4, 2, 4], "angle": 0, "flip": "none", "color": [0.29597082072739067, 0.44809929338734733, 0.6881087446134356]}, {"index": 4, "shape": [[0, 3, 0, 1], [0, 2, 1, 2]], "angle": 30, "flip": "none", "color": [0.13799246151005418, 0.8543080443892493, 0.24339036992847662]}, {"index": 1, "shape": [0, 2, 2, 4], "angle": 60, "flip": "none", "color": [0.2708162857112263, 0.34824512961383103, 0.6894047673252708]}, {"index": 0, "shape": [2, 3, 1, 4], "angle": 0, "flip": "none", "color": [0.33356625224597825, 0.8251586315847872, 0.9977506524222988]}, {"index": 2, "shape": [3, 4, 0, 2], "angle": 30, "flip": "none", "color": [0.37595342334832693, 0.6861020575940404, 0.15051798252162207]}], "variant": "irregular_assembly"}
q+steps
[ "no", "yes" ]
4x4_inst22_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 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (2, 2). Step 2: Rotate piece D by about 30 degrees clockwise. Flip piece D vertically. Place piece D with its upper-left corner at (x,y) = (0, 4). Step 3: Place piece A with its upper-left corner at (x,y) = (0, 1). Step 4: Rotate piece B by about 30 degrees clockwise. 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?
A
{"images": ["output_dir/Tangram_puzzle/4x4_inst22/irregular_assembly/4x4_inst22irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst22/irregular_assembly/4x4_inst22irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst22/irregular_assembly/4x4_inst22irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst22/irregular_assembly/4x4_inst22irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst22/irregular_assembly/4x4_inst22irregular_assembly_step_4.png"], "instructions": ["", "Rotate piece C by about 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (2, 2).", "Rotate piece D by about 30 degrees clockwise. Flip piece D vertically. Place piece D with its upper-left corner at (x,y) = (0, 4).", "Place piece A with its upper-left corner at (x,y) = (0, 1).", "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": 2, "shape": [1, 2, 2, 4], "angle": 60, "flip": "none", "color": [0.9444237233564657, 0.633971880646935, 0.9884764278637307]}, {"index": 3, "shape": [[3, 4, 0, 2], [2, 4, 2, 4]], "angle": 30, "flip": "vertical", "color": [0.11193829003358746, 0.30617434738153293, 0.40388324801152764]}, {"index": 0, "shape": [0, 1, 0, 4], "angle": 0, "flip": "none", "color": [0.482618038040181, 0.6865131363274936, 0.7698501288262459]}, {"index": 1, "shape": [1, 3, 0, 2], "angle": 30, "flip": "none", "color": [0.5252542307964176, 0.9142936793495643, 0.8624907593395256]}], "variant": "irregular_assembly"}
q+steps
[ "yes", "no" ]
3x3_inst6_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 90 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 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (1, 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_inst6/perturbed_step/3x3_inst6perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst6/perturbed_step/3x3_inst6perturbed_step_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) = (2, 3).", "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) = (1, 1)."], "results": ["", "", "", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.6512655327908536, 0.8401929301826332, 0.8460989766654483], "cell_center": [2.0, 5.598076211353316]}, {"index": 2, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.1586208137251468, 0.12393853736495797, 0.8716693278560734], "cell_center": [6.0, 5.598076211353316]}, {"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], "cell_center": [2.0, 1.8660254037844388]}], "variant": "perturbed_step"}
q+steps
[ "no", "yes" ]
3x3_inst7_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/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_only
[ "no", "yes" ]
3x3_inst12_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_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_only
[ "no", "yes" ]
3x3_inst16_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_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_only
[ "yes", "no" ]
3x3_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 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (1, 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 B by about 60 degrees clockwise, and place piece B 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_inst28/perturbed_step/3x3_inst28perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst28/perturbed_step/3x3_inst28perturbed_step_assembly_step_1.png"], "instructions": ["", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (1, 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 B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2)."], "results": ["", "Over board", "Over board", "Over board"], "valid": false, "config": [{"index": 0, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.24874432956275316, 0.10459104781785566, 0.290015710844736], "cell_center": [2.049038105676658, 5.598076211353316]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 2, 3], "color": [0.08038459038445755, 0.7628332166932088, 0.014888669554417922], "cell_center": [6.147114317029974, 5.598076211353316]}, {"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": [2.049038105676658, 1.8660254037844388]}], "variant": "perturbed_step"}
q+steps
[ "no", "yes" ]
4x4_inst22_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 E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1). Step 3: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 3). Step 4: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4). Step 5: Rotate piece C by about 30 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_inst22/perturbed_part/4x4_inst22perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst22/perturbed_part/4x4_inst22perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst22/perturbed_part/4x4_inst22perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst22/perturbed_part/4x4_inst22perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst22/perturbed_part/4x4_inst22perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst22/perturbed_part/4x4_inst22perturbed_part_assembly_step_5.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 E by about 60 degrees clockwise, and 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) = (0, 3).", "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) = (2, 3)."], "results": ["", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 3, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.11193829003358746, 0.30617434738153293, 0.40388324801152764]}, {"index": 4, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.23279928245104486, 0.8588011204766025, 0.7142789177710182]}, {"index": 1, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.5252542307964176, 0.9142936793495643, 0.8624907593395256]}, {"index": 0, "angle": 90, "orig_width": 4, "orig_height": 1, "w": 1.0000000000000002, "h": 4.0, "label": "1x4", "piece": [0, 1, 0, 4], "color": [0.482618038040181, 0.6865131363274936, 0.7698501288262459]}, {"index": 2, "angle": 90, "orig_width": 3, "orig_height": 2, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [1, 3, 2, 5], "color": [0.9444237233564657, 0.633971880646935, 0.9884764278637307]}], "variant": "perturbed_part"}
q+steps
[ "yes", "no" ]
3x3_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: Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (1, 2). Step 2: Rotate piece B by about 60 degrees clockwise. 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_inst2/irregular_assembly/3x3_inst2irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst2/irregular_assembly/3x3_inst2irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst2/irregular_assembly/3x3_inst2irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (1, 2).", "Rotate piece B by about 60 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 1, 3], "angle": 30, "flip": "none", "color": [0.12351699744789202, 0.5664729497490351, 0.624512595749913]}, {"index": 1, "shape": [[2, 3, 0, 3], [0, 2, 0, 1]], "angle": 60, "flip": "none", "color": [0.12655138063137172, 0.33097078814054737, 0.7001299158222172]}], "variant": "irregular_assembly"}
q+steps
[ "no", "yes" ]
4x4_inst11_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_inst11/assembly/4x4_inst11assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst11/assembly/4x4_inst11assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst11/assembly/4x4_inst11assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst11/assembly/4x4_inst11assembly_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 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 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2)."], "valid": true, "config": [{"index": 1, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.2617125427976732, 0.3180100977057472, 0.9938777587600973], "cell_center": [6.897114317029974, 7.5]}, {"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": [2.299038105676658, 7.5]}, {"index": 2, "angle": 90, "orig_width": 4, "orig_height": 2, "w": 2.0000000000000004, "h": 4.0, "label": "2x4", "piece": [2, 4, 0, 4], "color": [0.21016152453789094, 0.9415963033779045, 0.8255857971856693], "cell_center": [2.299038105676658, 2.5]}], "variant": "assembly"}
q_only
[ "no", "yes" ]
3x3_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/3x3_inst17/perturbed_part/3x3_inst17perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst17/perturbed_part/3x3_inst17perturbed_part_assembly_step_1.png"], "instructions": ["", "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 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Place piece A with its upper-left corner at (x, y) = (0, 3)."], "results": ["", "Over board", "Over board", "Over board", "Over board"], "valid": false, "config": [{"index": 3, "angle": 0, "orig_width": 1, "orig_height": 4, "w": 1.0, "h": 4.0, "label": "1x4", "piece": [1, 5, 1, 2], "color": [0.14133289160513685, 0.7931598690282321, 0.18641685245599515]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.5019930741412741, 0.012559332865545225, 0.17639361210978133]}, {"index": 1, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [0, 1, 2, 3], "color": [0.5781587086361871, 0.8308911842343512, 0.6376093319739924]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 0, 2], "color": [0.3661900859965067, 0.7558139235341418, 0.8335971471271846]}], "variant": "perturbed_part"}
q_only
[ "no", "yes" ]
4x4_inst3_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_inst3/perturbed_part/4x4_inst3perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst3/perturbed_part/4x4_inst3perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst3/perturbed_part/4x4_inst3perturbed_part_assembly_step_2.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 G by about 60 degrees clockwise, and place piece G 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, 3).", "Place piece D 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 H by about 30 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (0, 1).", "Place piece E with its upper-left corner at (x, y) = (3, 3).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 2)."], "results": ["", "", "Over board", "Over board", "Over board", "Over board", "Over board", "Over board", "Over board"], "valid": false, "config": [{"index": 0, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.54590476492727, 0.8017288265026836, 0.19702177212746563]}, {"index": 6, "angle": 0, "orig_width": 4, "orig_height": 1, "w": 4.0, "h": 1.0, "label": "4x1", "piece": [2, 3, 2, 6], "color": [0.6703174692655477, 0.09045368054856773, 0.1109174370728383]}, {"index": 2, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 0, 1], "color": [0.9449625741817751, 0.10699177732051413, 0.906832733107004]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [1, 2, 1, 3], "color": [0.09413549272860999, 0.7680476368577523, 0.4128776322048002]}, {"index": 1, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [0, 1, 1, 4], "color": [0.7422122588815101, 0.7551189736163385, 0.9234718311827813]}, {"index": 7, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [3, 4, 0, 1], "color": [0.713590518367683, 0.3036182518548164, 0.1397252722702369]}, {"index": 4, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [1, 2, 3, 4], "color": [0.6840121753279651, 0.8419883108103203, 0.07133341675213412]}, {"index": 5, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [2, 4, 1, 2], "color": [0.4972346165255138, 0.8906984233290346, 0.7562452955907089]}], "variant": "perturbed_part"}
q_only
[ "no", "yes" ]
3x3_inst17_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/3x3_inst17/irregular_assembly/3x3_inst17irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst17/irregular_assembly/3x3_inst17irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst17/irregular_assembly/3x3_inst17irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst17/irregular_assembly/3x3_inst17irregular_assembly_step_3.png"], "instructions": ["", "Place piece C with its upper-left corner at (x,y) = (0, 3).", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 3).", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1)."], "valid": true, "config": [{"index": 2, "shape": [[1, 3, 1, 3], [0, 1, 2, 3]], "angle": 0, "flip": "none", "color": [0.5019930741412741, 0.012559332865545225, 0.17639361210978133]}, {"index": 1, "shape": [0, 1, 0, 2], "angle": 90, "flip": "none", "color": [0.5781587086361871, 0.8308911842343512, 0.6376093319739924]}, {"index": 0, "shape": [1, 3, 0, 1], "angle": 60, "flip": "none", "color": [0.3661900859965067, 0.7558139235341418, 0.8335971471271846]}], "variant": "irregular_assembly"}
q_only
[ "no", "yes" ]
4x4_inst3_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) = (1, 4). Step 2: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3). Step 3: Place piece D with its upper-left corner at (x, y) = (1, 3). Step 4: Place piece F with its upper-left corner at (x, y) = (1, 2). Step 5: Place piece A with its upper-left corner at (x, y) = (0, 4). Step 6: Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 2). Step 7: Rotate piece H by about 30 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (0, 1). Step 8: Rotate piece C by about 60 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?
B
{"images": ["output_dir/Tangram_puzzle/4x4_inst3/assembly/4x4_inst3assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst3/assembly/4x4_inst3assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst3/assembly/4x4_inst3assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst3/assembly/4x4_inst3assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst3/assembly/4x4_inst3assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst3/assembly/4x4_inst3assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst3/assembly/4x4_inst3assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst3/assembly/4x4_inst3assembly_step_7.png", "output_dir/Tangram_puzzle/4x4_inst3/assembly/4x4_inst3assembly_step_8.png"], "instructions": ["", "Rotate piece B by about 30 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) = (3, 3).", "Place piece D with its upper-left corner at (x, y) = (1, 3).", "Place piece F with its upper-left corner at (x, y) = (1, 2).", "Place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 2).", "Rotate piece H by about 30 degrees clockwise, and place piece H 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)."], "valid": true, "config": [{"index": 1, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [0, 1, 1, 4], "color": [0.7422122588815101, 0.7551189736163385, 0.9234718311827813], "cell_center": [6.147114317029974, 8.415063509461097]}, {"index": 4, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [1, 2, 3, 4], "color": [0.6840121753279651, 0.8419883108103203, 0.07133341675213412], "cell_center": [6.147114317029974, 5.049038105676658]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [1, 2, 1, 3], "color": [0.09413549272860999, 0.7680476368577523, 0.4128776322048002], "cell_center": [2.049038105676658, 5.049038105676658]}, {"index": 5, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [2, 4, 1, 2], "color": [0.4972346165255138, 0.8906984233290346, 0.7562452955907089], "cell_center": [10.24519052838329, 5.049038105676658]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 0, 1], "color": [0.54590476492727, 0.8017288265026836, 0.19702177212746563], "cell_center": [2.049038105676658, 8.415063509461097]}, {"index": 6, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.6703174692655477, 0.09045368054856773, 0.1109174370728383], "cell_center": [2.049038105676658, 1.6830127018922192]}, {"index": 7, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [3, 4, 0, 1], "color": [0.713590518367683, 0.3036182518548164, 0.1397252722702369], "cell_center": [6.147114317029974, 1.6830127018922192]}, {"index": 2, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.9449625741817751, 0.10699177732051413, 0.906832733107004], "cell_center": [10.24519052838329, 8.415063509461097]}], "variant": "assembly"}
q+steps
[ "no", "yes" ]
3x3_inst28_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_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_only
[ "yes", "no" ]
4x4_inst1_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_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_only
[ "no", "yes" ]
3x3_inst1_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) = (1, 0). Step 2: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3). 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 C by about 60 degrees clockwise, and place piece C 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_inst1/perturbed_step/3x3_inst1perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst1/perturbed_step/3x3_inst1perturbed_step_assembly_step_1.png"], "instructions": ["", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 0).", "Rotate piece A by about 60 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).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1)."], "results": ["", "Over board", "Over board", "", "Over board"], "valid": false, "config": [{"index": 3, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [2, 3, 2, 3], "color": [0.14881909049605957, 0.9309150666944223, 0.2473442019032891], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 0, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.256800880301729, 0.03751904073714318, 0.9621217613176958], "cell_center": [5.598076211353316, 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": [0.4502474416941842, 0.8486047097331468, 0.005901795236425311], "cell_center": [1.8660254037844388, 1.8660254037844388]}, {"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": [5.598076211353316, 1.8660254037844388]}], "variant": "perturbed_step"}
q+steps
[ "no", "yes" ]
3x3_inst27_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_inst27/perturbed_part/3x3_inst27perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst27/perturbed_part/3x3_inst27perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst27/perturbed_part/3x3_inst27perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst27/perturbed_part/3x3_inst27perturbed_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).", "Rotate piece C by about 30 degrees clockwise, and 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)."], "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": [0.17203857926331845, 0.4970169511811482, 0.5662534091810973]}, {"index": 2, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.7341641971685425, 0.29244769077896215, 0.1293027898421113]}, {"index": 1, "angle": 30, "orig_width": 3, "orig_height": 3, "w": 4.098076211353316, "h": 4.098076211353316, "label": "3x3", "piece": [0, 3, 1, 4], "color": [0.604000330200972, 0.6770340247405751, 0.5551674092714912]}], "variant": "perturbed_part"}
q_only
[ "no", "yes" ]
3x3_inst16_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: Rotate piece D by about 90 degrees clockwise, and 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 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?
B
{"images": ["output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst16/assembly/3x3_inst16assembly_step_4.png"], "instructions": ["", "Rotate piece B by about 90 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) = (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 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2)."], "valid": true, "config": [{"index": 1, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 1, 3], "color": [0.9048699719372921, 0.07001798964152184, 0.5974823649881674], "cell_center": [5.598076211353316, 5.598076211353316]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 2, 3], "color": [0.7676425093614947, 0.24713964046947057, 0.3655219928054467], "cell_center": [5.598076211353316, 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": [0.9976490339368843, 0.4943065670172001, 0.5594239487418055], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 0, 2], "color": [0.10823406854150919, 0.5033344127325038, 0.9895981043015385], "cell_center": [1.8660254037844388, 1.8660254037844388]}], "variant": "assembly"}
q+steps
[ "no", "yes" ]
3x3_inst17_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 C with its upper-left corner at (x,y) = (0, 3). Step 2: Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 3). Step 3: Rotate piece A by about 60 degrees clockwise. Place piece A 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/3x3_inst17/irregular_assembly/3x3_inst17irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst17/irregular_assembly/3x3_inst17irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst17/irregular_assembly/3x3_inst17irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst17/irregular_assembly/3x3_inst17irregular_assembly_step_3.png"], "instructions": ["", "Place piece C with its upper-left corner at (x,y) = (0, 3).", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 3).", "Rotate piece A by about 60 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1)."], "valid": true, "config": [{"index": 2, "shape": [[1, 3, 1, 3], [0, 1, 2, 3]], "angle": 0, "flip": "none", "color": [0.5019930741412741, 0.012559332865545225, 0.17639361210978133]}, {"index": 1, "shape": [0, 1, 0, 2], "angle": 90, "flip": "none", "color": [0.5781587086361871, 0.8308911842343512, 0.6376093319739924]}, {"index": 0, "shape": [1, 3, 0, 1], "angle": 60, "flip": "none", "color": [0.3661900859965067, 0.7558139235341418, 0.8335971471271846]}], "variant": "irregular_assembly"}
q+steps
[ "no", "yes" ]
3x3_inst7_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/3x3_inst7/perturbed_part/3x3_inst7perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst7/perturbed_part/3x3_inst7perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst7/perturbed_part/3x3_inst7perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst7/perturbed_part/3x3_inst7perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst7/perturbed_part/3x3_inst7perturbed_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) = (2, 1).", "Rotate piece B by about 90 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)."], "results": ["", "", "", "", "Overlap"], "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": [0.10779093077082336, 0.9663519770282707, 0.08719575355451004]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 2, 3], "color": [0.8890167433678454, 0.8396728997385756, 0.6423378141699023]}, {"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]}, {"index": 0, "angle": 30, "orig_width": 4, "orig_height": 1, "w": 3.964101615137755, "h": 2.8660254037844384, "label": "4x1", "piece": [0, 1, 0, 4], "color": [0.73843051684633, 0.04893125943557952, 0.5781887360388885]}], "variant": "perturbed_part"}
q_only
[ "yes", "no" ]
4x4_inst22_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 D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2). Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B 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) = (2, 3). Step 4: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4). Step 5: Rotate piece E by about 30 degrees clockwise, and place piece E 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
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q+steps
[ "yes", "no" ]
4x4_inst5_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_inst5/assembly/4x4_inst5assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst5/assembly/4x4_inst5assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst5/assembly/4x4_inst5assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst5/assembly/4x4_inst5assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst5/assembly/4x4_inst5assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst5/assembly/4x4_inst5assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst5/assembly/4x4_inst5assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst5/assembly/4x4_inst5assembly_step_7.png", "output_dir/Tangram_puzzle/4x4_inst5/assembly/4x4_inst5assembly_step_8.png"], "instructions": ["", "Rotate piece B by about 60 degrees clockwise, and place piece B 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) = (0, 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 H by about 60 degrees clockwise, and place piece H 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 F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 3).", "Place piece E with its upper-left corner at (x, y) = (1, 3).", "Place piece G with its upper-left corner at (x, y) = (0, 1)."], "valid": true, "config": [{"index": 1, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [0, 1, 1, 2], "color": [0.26612579155187954, 0.07055091126826107, 0.08305000539925333], "cell_center": [5.598076211353316, 9.330127018922193]}, {"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], "cell_center": [1.8660254037844388, 5.598076211353316]}, {"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": [1.8660254037844388, 9.330127018922193]}, {"index": 7, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [3, 4, 2, 4], "color": [0.48160700821724445, 0.60931785491179, 0.22992601917545952], "cell_center": [5.598076211353316, 1.8660254037844388]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [0, 1, 2, 4], "color": [0.6297825243848936, 0.49093541919773, 0.6669745716275061], "cell_center": [9.330127018922195, 9.330127018922193]}, {"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": [9.330127018922195, 5.598076211353316]}, {"index": 4, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [1, 3, 1, 2], "color": [0.22291133685432907, 0.48383465028816663, 0.5699125213630748], "cell_center": [5.598076211353316, 5.598076211353316]}, {"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], "cell_center": [1.8660254037844388, 1.8660254037844388]}], "variant": "assembly"}
q_only
[ "yes", "no" ]
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