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3x3_inst5_var3_q+steps+all_intermediate_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).
<image_1>
Step 2: Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 3).
<image_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_inst5/irregular_assembly/3x3_inst5irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst5/irregular_assembly/3x3_inst5irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst5/irregular_assembly/3x3_inst5irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).", " Flip piece B vertically. Place piece B with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 0, 2], "angle": 90, "flip": "none", "color": [0.07357053851548412, 0.9733870202483494, 0.6618987325140707]}, {"index": 1, "shape": [[2, 3, 0, 3], [0, 2, 2, 3]], "angle": 0, "flip": "vertical", "color": [0.445111390892756, 0.16653115882702152, 0.8213500363599643]}], "variant": "irregular_assembly"} | q+steps+all_intermediate_vis | [
"no",
"yes"
]
|
|
4x4_inst10_var2_q+steps+all_for_valid_vis | 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).
<image_1>
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).
<image_2>
Step 3: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 1).
<image_3>
Step 4: Rotate piece E by about 30 degrees clockwise. Place piece E with its upper-left corner at (x,y) = (0, 4).
<image_4>
Step 5: Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (2, 1).
<image_5>
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/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+all_for_valid_vis | [
"no",
"yes"
]
|
|
5x5_inst23_var3_q+steps+all_intermediate_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece G by about 60 degrees clockwise. Flip piece G vertically. Place piece G with its upper-left corner at (x,y) = (0, 5).
<image_1>
Step 2: Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (3, 2).
<image_2>
Step 3: Rotate piece F by about 90 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (3, 4).
<image_3>
Step 4: Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (2, 2).
<image_4>
Step 5: Place piece E with its upper-left corner at (x,y) = (3, 3).
<image_5>
Step 6: Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 3).
<image_6>
Step 7: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).
<image_7>
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/5x5_inst23/irregular_assembly/5x5_inst23irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst23/irregular_assembly/5x5_inst23irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst23/irregular_assembly/5x5_inst23irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst23/irregular_assembly/5x5_inst23irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/5x5_inst23/irregular_assembly/5x5_inst23irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/5x5_inst23/irregular_assembly/5x5_inst23irregular_assembly_step_5.png", "output_dir/Tangram_puzzle/5x5_inst23/irregular_assembly/5x5_inst23irregular_assembly_step_6.png", "output_dir/Tangram_puzzle/5x5_inst23/irregular_assembly/5x5_inst23irregular_assembly_step_7.png"], "instructions": ["", "Rotate piece G by about 60 degrees clockwise. Flip piece G vertically. Place piece G with its upper-left corner at (x,y) = (0, 5).", "Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (3, 2).", "Rotate piece F by about 90 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (3, 4).", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (2, 2).", "Place piece E with its upper-left corner at (x,y) = (3, 3).", "Rotate piece D by about 90 degrees clockwise. Place piece D 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, 2)."], "valid": true, "config": [{"index": 6, "shape": [[4, 5, 0, 5], [3, 4, 0, 3]], "angle": 60, "flip": "vertical", "color": [0.5407675515714042, 0.05986582651938599, 0.3461125524436537]}, {"index": 2, "shape": [0, 2, 0, 2], "angle": 90, "flip": "none", "color": [0.6363307808049075, 0.43425809582144304, 0.7624637521782265]}, {"index": 5, "shape": [2, 3, 3, 5], "angle": 90, "flip": "none", "color": [0.16635899358365747, 0.4019092961116184, 0.2953645038676713]}, {"index": 1, "shape": [3, 4, 3, 5], "angle": 90, "flip": "none", "color": [0.7404514317155803, 0.8718875209196989, 0.3328055243992567]}, {"index": 4, "shape": [0, 2, 3, 5], "angle": 0, "flip": "none", "color": [0.15053419878752228, 0.3721570211175803, 0.16968816167044165]}, {"index": 3, "shape": [0, 2, 2, 3], "angle": 90, "flip": "none", "color": [0.9051772486737331, 0.7385561268538365, 0.6244178365704682]}, {"index": 0, "shape": [2, 3, 0, 3], "angle": 90, "flip": "none", "color": [0.13453167620047635, 0.10767889340911707, 0.1736206774323169]}], "variant": "irregular_assembly"} | q+steps+all_intermediate_vis | [
"yes",
"no"
]
|
|
3x3_inst21_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece A with its upper-left corner at (x, y) = (0, 3).
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).
Step 3: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Step 4: Rotate piece D by about 30 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? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_4.png"], "instructions": ["", "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 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 1)."], "results": ["", "", "", "", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.6165348490517608, 0.47248907820449537, 0.17394439876786527]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 0, 1], "color": [0.6140362933411411, 0.9726156360309749, 0.23541658483033545]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.5750109852621413, 0.4718251861047962, 0.07260160357926093]}, {"index": 3, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [2, 3, 1, 3], "color": [0.3191732971125849, 0.3246179753369247, 0.6214083773627291]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
]
|
|
5x5_inst18_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/5x5_inst18/assembly/5x5_inst18assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst18/assembly/5x5_inst18assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst18/assembly/5x5_inst18assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst18/assembly/5x5_inst18assembly_step_3.png"], "instructions": ["", "Place piece C with its upper-left corner at (x, y) = (3, 3).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 3).", "Place piece A with its upper-left corner at (x, y) = (0, 5)."], "valid": true, "config": [{"index": 2, "angle": 0, "orig_width": 2, "orig_height": 3, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [2, 5, 3, 5], "color": [0.9144356885811364, 0.8527747278020973, 0.42764618114259556], "cell_center": [3.0, 2.549038105676658]}, {"index": 1, "angle": 30, "orig_width": 3, "orig_height": 3, "w": 4.098076211353316, "h": 4.098076211353316, "label": "3x3", "piece": [2, 5, 0, 3], "color": [0.6469195109293574, 0.45628861588438085, 0.8483185161301237], "cell_center": [9.0, 7.647114317029974]}, {"index": 0, "angle": 0, "orig_width": 5, "orig_height": 2, "w": 5.0, "h": 2.0, "label": "5x2", "piece": [0, 2, 0, 5], "color": [0.046059957317913236, 0.1706442106271231, 0.9918452468701948], "cell_center": [3.0, 7.647114317029974]}], "variant": "assembly"} | q_only | [
"yes",
"no"
]
|
|
4x4_inst21_var2_q+steps+all_for_valid_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).
<image_1>
Step 3: Place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst21/perturbed_step/4x4_inst21perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst21/perturbed_step/4x4_inst21perturbed_step_assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "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)."], "results": ["", "", "", "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": [0.9226983536502249, 0.3780541609495376, 0.9449843452750281], "cell_center": [2.5, 6.897114317029974]}, {"index": 2, "angle": 0, "orig_width": 4, "orig_height": 1, "w": 4.0, "h": 1.0, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.13844656237050856, 0.09373377464750454, 0.41854255601994583], "cell_center": [7.5, 6.897114317029974]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 3, "w": 3.0, "h": 2.0, "label": "2x3", "piece": [0, 3, 0, 2], "color": [0.4773278399576071, 0.4179807901546365, 0.3658306231917948], "cell_center": [2.5, 2.299038105676658]}], "variant": "perturbed_step"} | q+steps+all_for_valid_vis | [
"no",
"yes"
]
|
|
3x3_inst26_var0_q+steps+all_for_valid_vis | 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, 2).
<image_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).
<image_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_inst26/irregular_assembly/3x3_inst26irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst26/irregular_assembly/3x3_inst26irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst26/irregular_assembly/3x3_inst26irregular_assembly_step_2.png"], "instructions": ["", "Place piece A with its upper-left corner at (x,y) = (0, 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)."], "valid": true, "config": [{"index": 0, "shape": [0, 2, 0, 1], "angle": 0, "flip": "none", "color": [0.1762969342918307, 0.2700538547336413, 0.9959210428826512]}, {"index": 1, "shape": [[2, 3, 0, 3], [0, 2, 1, 3]], "angle": 90, "flip": "horizontal", "color": [0.8601757328506661, 0.8373920802150087, 0.4098927320047637]}], "variant": "irregular_assembly"} | q+steps+all_for_valid_vis | [
"no",
"yes"
]
|
|
4x4_inst21_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 60 degrees clockwise. Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 4).
Step 2: Rotate piece A by about 30 degrees clockwise. Place piece A 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_inst21/irregular_assembly/4x4_inst21irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst21/irregular_assembly/4x4_inst21irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst21/irregular_assembly/4x4_inst21irregular_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 60 degrees clockwise. Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 4).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (2, 3)."], "valid": true, "config": [{"index": 1, "shape": [[3, 4, 0, 4], [0, 3, 0, 2]], "angle": 60, "flip": "horizontal", "color": [0.9226983536502249, 0.3780541609495376, 0.9449843452750281]}, {"index": 0, "shape": [0, 3, 2, 4], "angle": 30, "flip": "none", "color": [0.4773278399576071, 0.4179807901546365, 0.3658306231917948]}], "variant": "irregular_assembly"} | q+steps | [
"yes",
"no"
]
|
|
3x3_inst10_var3_q+steps+all_intermediate_vis | 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).
<image_1>
Step 2: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
<image_2>
Step 3: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
<image_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).
<image_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/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+all_intermediate_vis | [
"no",
"yes"
]
|
|
3x3_inst17_var1_q+steps+all_for_valid_vis | 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) = (1, 2).
<image_1>
Step 3: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 4: Place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_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+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
4x4_inst28_var1_q+steps+all_for_valid_vis | 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).
<image_1>
Step 2: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
<image_2>
Step 3: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).
<image_3>
Step 4: Place piece B with its upper-left corner at (x, y) = (2, 4).
<image_4>
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst28/perturbed_part/4x4_inst28perturbed_part_assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).", "Place piece B with its upper-left corner at (x, y) = (2, 4)."], "results": ["", "", "", "", "Over board"], "valid": false, "config": [{"index": 0, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.31870027151465274, 0.9820788726257209, 0.8550947462305866]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.9709321163056576, 0.9638050814682778, 0.48474678634569257]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.2615618203446515, 0.30219545939699477, 0.7851313753013661]}, {"index": 1, "angle": 30, "orig_width": 4, "orig_height": 1, "w": 3.964101615137755, "h": 2.8660254037844384, "label": "4x1", "piece": [0, 1, 2, 6], "color": [0.3088457752297562, 0.9442534400895921, 0.6030597092417792]}], "variant": "perturbed_part"} | q+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
5x5_inst25_var0_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/5x5_inst25/perturbed_part/5x5_inst25perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst25/perturbed_part/5x5_inst25perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst25/perturbed_part/5x5_inst25perturbed_part_assembly_step_2.png"], "instructions": ["", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (4, 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 E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 3).", "Place piece B with its upper-left corner at (x, y) = (0, 4)."], "results": ["", "", "Over board", "Over board", "Over board", "Over board"], "valid": false, "config": [{"index": 0, "angle": 30, "orig_width": 5, "orig_height": 1, "w": 4.830127018922194, "h": 3.3660254037844384, "label": "5x1", "piece": [0, 1, 0, 5], "color": [0.5465890988808872, 0.8975278204680684, 0.8270401004005166]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [1, 3, 4, 6], "color": [0.16808516690428688, 0.054780912119258396, 0.9840135331036033]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 3, "w": 3.0, "h": 1.0000000000000002, "label": "3x1", "piece": [2, 5, 0, 1], "color": [0.6725491902667059, 0.15564208535490143, 0.67025301730278]}, {"index": 4, "angle": 0, "orig_width": 3, "orig_height": 3, "w": 3.0, "h": 3.0, "label": "3x3", "piece": [2, 5, 1, 4], "color": [0.1277367367641956, 0.13965744955005177, 0.004792603764436687]}, {"index": 1, "angle": 90, "orig_width": 4, "orig_height": 1, "w": 1.0000000000000002, "h": 4.0, "label": "1x4", "piece": [1, 2, 0, 4], "color": [0.8055316313400621, 0.883647584496831, 0.3235022650299192]}], "variant": "perturbed_part"} | q_only | [
"yes",
"no"
]
|
|
4x4_inst9_var2_q+steps+all_for_valid_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).
<image_1>
Step 2: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
<image_2>
Step 3: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 3).
<image_3>
Step 4: Place piece E with its upper-left corner at (x, y) = (2, 3).
<image_4>
Step 5: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).
<image_5>
Step 6: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).
<image_6>
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/assembly/4x4_inst9assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst9/assembly/4x4_inst9assembly_step_6.png"], "instructions": ["", "Rotate piece F by about 30 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (1, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 3).", "Place piece E with its upper-left corner at (x, y) = (2, 3).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3)."], "valid": true, "config": [{"index": 5, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [3, 4, 1, 4], "color": [0.28340804127686015, 0.9232672116663543, 0.8311037648416407], "cell_center": [10.24519052838329, 2.049038105676658]}, {"index": 0, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [0, 1, 0, 3], "color": [0.3767840683317317, 0.9804349782325034, 0.6211477157651492], "cell_center": [2.049038105676658, 6.147114317029974]}, {"index": 3, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [1, 3, 1, 2], "color": [0.08568095338134385, 0.6682948586606138, 0.6055837889275328], "cell_center": [2.049038105676658, 2.049038105676658]}, {"index": 4, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 2, 4], "color": [0.726034657723742, 0.14100632109447608, 0.1515951180124674], "cell_center": [6.147114317029974, 2.049038105676658]}, {"index": 1, "angle": 60, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844388, "h": 1.3660254037844388, "label": "1x1", "piece": [0, 1, 3, 4], "color": [0.6391948573912559, 0.6949802608182306, 0.21433155875468102], "cell_center": [6.147114317029974, 6.147114317029974]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 3, "w": 2.3660254037844384, "h": 3.098076211353316, "label": "1x3", "piece": [1, 4, 0, 1], "color": [0.32195261495336813, 0.6322591244083937, 0.7762269388570919], "cell_center": [10.24519052838329, 6.147114317029974]}], "variant": "assembly"} | q+steps+all_for_valid_vis | [
"no",
"yes"
]
|
|
5x5_inst11_var3_q+steps+partial_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece E with its upper-left corner at (x, y) = (2, 3).
<image_1>
Step 2: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 5).
<image_2>
Step 3: Rotate piece H by about 60 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (3, 2).
<image_3>
Step 4: Place piece A with its upper-left corner at (x, y) = (0, 5).
<image_4>
Step 5: Place piece F with its upper-left corner at (x, y) = (0, 2).
<image_5>
Step 6: Place piece G with its upper-left corner at (x, y) = (2, 2).
<image_6>
Step 7: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).
<image_7>
Step 8: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 5).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/5x5_inst11/perturbed_part/5x5_inst11perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst11/perturbed_part/5x5_inst11perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst11/perturbed_part/5x5_inst11perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst11/perturbed_part/5x5_inst11perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/5x5_inst11/perturbed_part/5x5_inst11perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/5x5_inst11/perturbed_part/5x5_inst11perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/5x5_inst11/perturbed_part/5x5_inst11perturbed_part_assembly_step_6.png", "output_dir/Tangram_puzzle/5x5_inst11/perturbed_part/5x5_inst11perturbed_part_assembly_step_7.png", "output_dir/Tangram_puzzle/5x5_inst11/perturbed_part/5x5_inst11perturbed_part_assembly_step_8.png"], "instructions": ["", "Place piece E with its upper-left corner at (x, y) = (2, 3).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 5).", "Rotate piece H by about 60 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (3, 2).", "Place piece A with its upper-left corner at (x, y) = (0, 5).", "Place piece F with its upper-left corner at (x, y) = (0, 2).", "Place piece G with its upper-left corner at (x, y) = (2, 2).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 5)."], "results": ["", "", "", "", "", "", "", "", "Over board"], "valid": false, "config": [{"index": 4, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [2, 3, 2, 5], "color": [0.4532704215250698, 0.6783200357677582, 0.9658633009581977]}, {"index": 1, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 1, 3], "color": [0.773694514991329, 0.03596564845496275, 0.965076022905567]}, {"index": 7, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [3, 5, 3, 5], "color": [0.20871116149996194, 0.12780611539631082, 0.846917604470817]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.4448624298792969, 0.6235834134921016, 0.5121710104225724]}, {"index": 5, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [3, 5, 0, 2], "color": [0.7464154906097938, 0.8324744544192662, 0.7734706904953242]}, {"index": 6, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [3, 5, 2, 3], "color": [0.0341728375289172, 0.09896607445939187, 0.7432719384481075]}, {"index": 3, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [2, 3, 0, 2], "color": [0.09877404979863613, 0.6029247643788684, 0.3592967740566322]}, {"index": 2, "angle": 60, "orig_width": 4, "orig_height": 1, "w": 2.8660254037844393, "h": 3.9641016151377544, "label": "4x1", "piece": [0, 1, 3, 7], "color": [0.32756258022839735, 0.8705474111574564, 0.9790136815360116]}], "variant": "perturbed_part"} | q+steps+partial_vis | [
"no",
"yes"
]
|
|
3x3_inst14_var2_q+steps+partial_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
<image_1>
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).
Step 3: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/3x3_inst14/assembly/3x3_inst14assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst14/assembly/3x3_inst14assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst14/assembly/3x3_inst14assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst14/assembly/3x3_inst14assembly_step_3.png"], "instructions": ["", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).", "Rotate piece A by about 60 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": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.7571710444334083, 0.6145865680611448, 0.2092124857635973], "cell_center": [1.6830127018922196, 2.049038105676658]}, {"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], "cell_center": [5.049038105676659, 6.147114317029974]}, {"index": 0, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.6986416373362043, 0.39103013274436993, 0.7338256355090964], "cell_center": [1.6830127018922196, 6.147114317029974]}], "variant": "assembly"} | q+steps+partial_vis | [
"no",
"yes"
]
|
|
4x4_inst26_var2_q+steps+all_intermediate_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
<image_1>
Step 2: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).
<image_2>
Step 3: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
<image_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_inst26/assembly/4x4_inst26assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst26/assembly/4x4_inst26assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst26/assembly/4x4_inst26assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst26/assembly/4x4_inst26assembly_step_3.png"], "instructions": ["", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4)."], "valid": true, "config": [{"index": 2, "angle": 30, "orig_width": 4, "orig_height": 1, "w": 3.964101615137755, "h": 2.8660254037844384, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.8108707380944121, 0.2515396058037127, 0.33952569941559574], "cell_center": [2.4820508075688776, 2.299038105676658]}, {"index": 1, "angle": 30, "orig_width": 2, "orig_height": 3, "w": 3.232050807568877, "h": 3.598076211353316, "label": "2x3", "piece": [0, 3, 2, 4], "color": [0.31277665174922176, 0.35495538459548914, 0.3185787817539524], "cell_center": [7.446152422706633, 6.897114317029974]}, {"index": 0, "angle": 60, "orig_width": 2, "orig_height": 3, "w": 3.598076211353316, "h": 3.2320508075688776, "label": "2x3", "piece": [0, 3, 0, 2], "color": [0.2046771522625852, 0.6943746193771417, 0.047460348425434895], "cell_center": [2.4820508075688776, 6.897114317029974]}], "variant": "assembly"} | q+steps+all_intermediate_vis | [
"yes",
"no"
]
|
|
3x3_inst21_var0_q+steps+all_intermediate_vis | 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).
<image_1>
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 2).
<image_2>
Step 3: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
<image_3>
Step 4: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 1).
<image_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/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst21/perturbed_part/3x3_inst21perturbed_part_assembly_step_4.png"], "instructions": ["", "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 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 1)."], "results": ["", "", "", "", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.6165348490517608, 0.47248907820449537, 0.17394439876786527]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 0, 1], "color": [0.6140362933411411, 0.9726156360309749, 0.23541658483033545]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.5750109852621413, 0.4718251861047962, 0.07260160357926093]}, {"index": 3, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [2, 3, 1, 3], "color": [0.3191732971125849, 0.3246179753369247, 0.6214083773627291]}], "variant": "perturbed_part"} | q+steps+all_intermediate_vis | [
"no",
"yes"
]
|
|
5x5_inst6_var1_q+steps+all_for_valid_vis | 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, 5).
<image_1>
Step 2: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (4, 3).
<image_2>
Step 3: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 4).
<image_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/5x5_inst6/perturbed_step/5x5_inst6perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst6/perturbed_step/5x5_inst6perturbed_step_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst6/perturbed_step/5x5_inst6perturbed_step_assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst6/perturbed_step/5x5_inst6perturbed_step_assembly_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, 5).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (4, 3).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 4).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 3)."], "results": ["", "", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 90, "orig_width": 5, "orig_height": 2, "w": 2.0000000000000004, "h": 5.0, "label": "5x2", "piece": [0, 2, 0, 5], "color": [0.17621403068118424, 0.691472894646019, 0.5769390588104387], "cell_center": [2.549038105676658, 9.0]}, {"index": 3, "angle": 30, "orig_width": 1, "orig_height": 3, "w": 2.3660254037844384, "h": 3.098076211353316, "label": "1x3", "piece": [2, 5, 4, 5], "color": [0.5022701810100869, 0.9395770862498443, 0.19632803527820641], "cell_center": [7.647114317029974, 9.0]}, {"index": 2, "angle": 60, "orig_width": 3, "orig_height": 3, "w": 4.098076211353316, "h": 4.098076211353316, "label": "3x3", "piece": [2, 5, 1, 4], "color": [0.4888216384881636, 0.12506847542521837, 0.4776801807212071], "cell_center": [2.549038105676658, 3.0]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 3, "w": 3.0, "h": 1.0000000000000002, "label": "1x3", "piece": [2, 5, 0, 1], "color": [0.9506934036021233, 0.23419129410494954, 0.6762645313920832], "cell_center": [7.647114317029974, 3.0]}], "variant": "perturbed_step"} | q+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
3x3_inst15_var0_q+steps+all_for_valid_vis | 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).
<image_1>
Step 2: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 2).
<image_2>
Step 3: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
<image_3>
Step 4: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).
<image_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/3x3_inst15/perturbed_part/3x3_inst15perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst15/perturbed_part/3x3_inst15perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst15/perturbed_part/3x3_inst15perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst15/perturbed_part/3x3_inst15perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst15/perturbed_part/3x3_inst15perturbed_part_assembly_step_4.png"], "instructions": ["", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece D by about 90 degrees clockwise, and place piece D 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).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 3).", "Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2)."], "results": ["", "", "", "", "Overlap", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [0, 1, 0, 2], "color": [0.910380989877349, 0.7228160858320822, 0.7740539608931295]}, {"index": 3, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [1, 3, 0, 1], "color": [0.2824781693183691, 0.4391634637062619, 0.8730414057719783]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 1, "w": 1.0, "h": 1.0, "label": "1x1", "piece": [0, 1, 2, 3], "color": [0.5860967147337509, 0.19822060430604183, 0.7985991759604419]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.678651528421504, 0.2548722306191047, 0.7768283693786211]}, {"index": 4, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.31213979887651133, 0.6376277262292271, 0.2961764771058485]}], "variant": "perturbed_part"} | q+steps+all_for_valid_vis | [
"no",
"yes"
]
|
|
4x4_inst16_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) = (3, 2).
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 3: Place piece A with its upper-left corner at (x, y) = (0, 4).
Step 4: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst16/perturbed_step/4x4_inst16perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst16/perturbed_step/4x4_inst16perturbed_step_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst16/perturbed_step/4x4_inst16perturbed_step_assembly_step_2.png"], "instructions": ["", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (3, 2).", "Rotate piece B by about 90 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, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2)."], "results": ["", "", "Overlap", "Over board", ""], "valid": true, "config": [{"index": 3, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [2, 4, 3, 4], "color": [0.28731779180264194, 0.03647956859760171, 0.15648045527389287], "cell_center": [2.299038105676658, 6.348076211353315]}, {"index": 1, "angle": 0, "orig_width": 3, "orig_height": 2, "w": 3.0, "h": 2.0, "label": "3x2", "piece": [0, 2, 1, 4], "color": [0.6455578112263359, 0.04059609907027828, 0.9406976161672972], "cell_center": [6.897114317029974, 6.348076211353315]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.2906409364547665, 0.18966064628256707, 0.16656066606481745], "cell_center": [2.299038105676658, 2.1160254037844384]}, {"index": 2, "angle": 30, "orig_width": 3, "orig_height": 2, "w": 3.598076211353316, "h": 3.232050807568877, "label": "3x2", "piece": [2, 4, 0, 3], "color": [0.10552732137168419, 0.7961088453102383, 0.6833810431216795], "cell_center": [6.897114317029974, 2.1160254037844384]}], "variant": "perturbed_step"} | q+steps | [
"no",
"yes"
]
|
|
5x5_inst29_var3_q+steps+all_for_valid_vis | 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, 5).
<image_1>
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 5).
<image_2>
Step 4: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/5x5_inst29/perturbed_step/5x5_inst29perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst29/perturbed_step/5x5_inst29perturbed_step_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst29/perturbed_step/5x5_inst29perturbed_step_assembly_step_2.png"], "instructions": ["", "Place piece A with its upper-left corner at (x, y) = (0, 5).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 5).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 3).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1)."], "results": ["", "", "Overlap", "Over board", "Over board"], "valid": false, "config": [{"index": 0, "angle": 0, "orig_width": 4, "orig_height": 2, "w": 4.0, "h": 2.0, "label": "4x2", "piece": [0, 2, 0, 4], "color": [0.8897774323585779, 0.40414138834043034, 0.16617381724130564], "cell_center": [2.5, 9.0]}, {"index": 1, "angle": 30, "orig_width": 1, "orig_height": 4, "w": 2.8660254037844384, "h": 3.964101615137755, "label": "1x4", "piece": [0, 4, 4, 5], "color": [0.4246771703519635, 0.857753016736533, 0.36824690247918224], "cell_center": [7.5, 9.0]}, {"index": 2, "angle": 60, "orig_width": 4, "orig_height": 2, "w": 3.7320508075688776, "h": 4.464101615137754, "label": "4x2", "piece": [2, 4, 0, 4], "color": [0.5251184513314681, 0.6957372651490575, 0.4257351918286105], "cell_center": [2.5, 3.0]}, {"index": 3, "angle": 90, "orig_width": 5, "orig_height": 1, "w": 1.0000000000000002, "h": 5.0, "label": "5x1", "piece": [4, 5, 0, 5], "color": [0.08491324244988907, 0.7544743438204476, 0.40682967491863287], "cell_center": [7.5, 3.0]}], "variant": "perturbed_step"} | q+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
3x3_inst14_var1_q+steps+all_intermediate_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
<image_1>
Step 3: Rotate piece A by about 60 degrees clockwise, and 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/3x3_inst14/perturbed_step/3x3_inst14perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst14/perturbed_step/3x3_inst14perturbed_step_assembly_step_3.png"], "instructions": ["", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).", "Place piece B with its upper-left corner at (x, y) = (0, 2).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (1, 2)."], "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": [0.7571710444334083, 0.6145865680611448, 0.2092124857635973], "cell_center": [2.049038105676658, 5.049038105676658]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.7375466272024475, 0.7958785429353309, 0.9602750500929624], "cell_center": [6.147114317029974, 5.049038105676658]}, {"index": 0, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.6986416373362043, 0.39103013274436993, 0.7338256355090964], "cell_center": [2.049038105676658, 1.6830127018922192]}], "variant": "perturbed_step"} | q+steps+all_intermediate_vis | [
"no",
"yes"
]
|
|
5x5_inst23_var0_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece H by about 60 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (0, 1).
Step 2: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).
Step 3: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 5).
Step 4: Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3).
Step 5: Place piece G with its upper-left corner at (x, y) = (3, 2).
Step 6: Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 2).
Step 7: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).
Step 8: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 5).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/5x5_inst23/assembly/5x5_inst23assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst23/assembly/5x5_inst23assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst23/assembly/5x5_inst23assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst23/assembly/5x5_inst23assembly_step_3.png", "output_dir/Tangram_puzzle/5x5_inst23/assembly/5x5_inst23assembly_step_4.png", "output_dir/Tangram_puzzle/5x5_inst23/assembly/5x5_inst23assembly_step_5.png", "output_dir/Tangram_puzzle/5x5_inst23/assembly/5x5_inst23assembly_step_6.png", "output_dir/Tangram_puzzle/5x5_inst23/assembly/5x5_inst23assembly_step_7.png", "output_dir/Tangram_puzzle/5x5_inst23/assembly/5x5_inst23assembly_step_8.png"], "instructions": ["", "Rotate piece H by about 60 degrees clockwise, and place piece H 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, 5).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (3, 5).", "Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3).", "Place piece G with its upper-left corner at (x, y) = (3, 2).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 5)."], "valid": true, "config": [{"index": 7, "angle": 60, "orig_width": 5, "orig_height": 1, "w": 3.3660254037844393, "h": 4.830127018922193, "label": "5x1", "piece": [4, 5, 0, 5], "color": [0.9435797415975148, 0.8757688803214517, 0.24440791247200755], "cell_center": [6.549038105676659, 2.9150635094610964]}, {"index": 0, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.13453167620047635, 0.10767889340911707, 0.1736206774323169], "cell_center": [2.1830127018922196, 14.575317547305485]}, {"index": 2, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 3, 5], "color": [0.6363307808049075, 0.43425809582144304, 0.7624637521782265], "cell_center": [10.915063509461099, 14.575317547305485]}, {"index": 4, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [2, 3, 3, 5], "color": [0.15053419878752228, 0.3721570211175803, 0.16968816167044165], "cell_center": [6.549038105676659, 8.74519052838329]}, {"index": 6, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [3, 4, 3, 5], "color": [0.5407675515714042, 0.05986582651938599, 0.3461125524436537], "cell_center": [2.1830127018922196, 2.9150635094610964]}, {"index": 5, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [3, 4, 0, 3], "color": [0.16635899358365747, 0.4019092961116184, 0.2953645038676713], "cell_center": [10.915063509461099, 8.74519052838329]}, {"index": 3, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.9051772486737331, 0.7385561268538365, 0.6244178365704682], "cell_center": [2.1830127018922196, 8.74519052838329]}, {"index": 1, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.7404514317155803, 0.8718875209196989, 0.3328055243992567], "cell_center": [6.549038105676659, 14.575317547305485]}], "variant": "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/assembly/4x4_inst26assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst26/assembly/4x4_inst26assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst26/assembly/4x4_inst26assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst26/assembly/4x4_inst26assembly_step_3.png"], "instructions": ["", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 4).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4)."], "valid": true, "config": [{"index": 2, "angle": 30, "orig_width": 4, "orig_height": 1, "w": 3.964101615137755, "h": 2.8660254037844384, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.8108707380944121, 0.2515396058037127, 0.33952569941559574], "cell_center": [2.4820508075688776, 2.299038105676658]}, {"index": 1, "angle": 30, "orig_width": 2, "orig_height": 3, "w": 3.232050807568877, "h": 3.598076211353316, "label": "2x3", "piece": [0, 3, 2, 4], "color": [0.31277665174922176, 0.35495538459548914, 0.3185787817539524], "cell_center": [7.446152422706633, 6.897114317029974]}, {"index": 0, "angle": 60, "orig_width": 2, "orig_height": 3, "w": 3.598076211353316, "h": 3.2320508075688776, "label": "2x3", "piece": [0, 3, 0, 2], "color": [0.2046771522625852, 0.6943746193771417, 0.047460348425434895], "cell_center": [2.4820508075688776, 6.897114317029974]}], "variant": "assembly"} | q_only | [
"no",
"yes"
]
|
|
5x5_inst11_var2_q+steps+all_for_valid_vis | 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 E horizontally. Place piece E with its lower-left corner at (x,y) = (2, 5).
<image_1>
Step 2: Rotate piece G by about 60 degrees clockwise. Place piece G with its upper-left corner at (x,y) = (2, 5).
<image_2>
Step 3: Rotate piece F by about 90 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (0, 5).
<image_3>
Step 4: Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (3, 2).
<image_4>
Step 5: Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (0, 3).
<image_5>
Step 6: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 2).
<image_6>
Step 7: Place piece B with its upper-left corner at (x,y) = (1, 2).
<image_7>
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/5x5_inst11/irregular_assembly/5x5_inst11irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst11/irregular_assembly/5x5_inst11irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst11/irregular_assembly/5x5_inst11irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst11/irregular_assembly/5x5_inst11irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/5x5_inst11/irregular_assembly/5x5_inst11irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/5x5_inst11/irregular_assembly/5x5_inst11irregular_assembly_step_5.png", "output_dir/Tangram_puzzle/5x5_inst11/irregular_assembly/5x5_inst11irregular_assembly_step_6.png", "output_dir/Tangram_puzzle/5x5_inst11/irregular_assembly/5x5_inst11irregular_assembly_step_7.png"], "instructions": ["", " Flip piece E horizontally. Place piece E with its lower-left corner at (x,y) = (2, 5).", "Rotate piece G by about 60 degrees clockwise. Place piece G with its upper-left corner at (x,y) = (2, 5).", "Rotate piece F by about 90 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (0, 5).", "Rotate piece C by about 90 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (3, 2).", "Rotate piece D by about 90 degrees clockwise. Place piece D 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, 2).", "Place piece B with its upper-left corner at (x,y) = (1, 2)."], "valid": true, "config": [{"index": 4, "shape": [3, 5, 0, 2], "angle": 0, "flip": "horizontal", "color": [0.4532704215250698, 0.6783200357677582, 0.9658633009581977]}, {"index": 6, "shape": [[2, 3, 2, 5], [3, 5, 3, 5]], "angle": 60, "flip": "none", "color": [0.0341728375289172, 0.09896607445939187, 0.7432719384481075]}, {"index": 5, "shape": [3, 5, 2, 3], "angle": 90, "flip": "none", "color": [0.7464154906097938, 0.8324744544192662, 0.7734706904953242]}, {"index": 2, "shape": [0, 2, 3, 5], "angle": 90, "flip": "none", "color": [0.32756258022839735, 0.8705474111574564, 0.9790136815360116]}, {"index": 3, "shape": [2, 3, 0, 2], "angle": 90, "flip": "none", "color": [0.09877404979863613, 0.6029247643788684, 0.3592967740566322]}, {"index": 0, "shape": [0, 2, 0, 1], "angle": 90, "flip": "none", "color": [0.4448624298792969, 0.6235834134921016, 0.5121710104225724]}, {"index": 1, "shape": [0, 2, 1, 3], "angle": 0, "flip": "none", "color": [0.773694514991329, 0.03596564845496275, 0.965076022905567]}], "variant": "irregular_assembly"} | q+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
4x4_inst7_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_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_only | [
"yes",
"no"
]
|
|
5x5_inst21_var1_q+steps+all_intermediate_vis | 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 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 3).
<image_1>
Step 3: Place piece E with its upper-left corner at (x, y) = (0, 2).
Step 4: Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).
Step 5: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 5).
Step 6: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).
Step 7: Place piece D 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/5x5_inst21/perturbed_step/5x5_inst21perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst21/perturbed_step/5x5_inst21perturbed_step_assembly_step_1.png"], "instructions": ["", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 3).", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (4, 5).", "Place piece E with its upper-left corner at (x, y) = (0, 2).", "Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 5).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).", "Place piece D with its upper-left corner at (x, y) = (1, 3)."], "results": ["", "", "", "", "Over board", "", "Over board", ""], "valid": true, "config": [{"index": 5, "angle": 60, "orig_width": 1, "orig_height": 2, "w": 2.232050807568877, "h": 1.8660254037844388, "label": "1x2", "piece": [3, 5, 2, 3], "color": [0.9551178624688467, 0.0686103193589005, 0.20035121121617527], "cell_center": [2.116025403784439, 11.49519052838329]}, {"index": 2, "angle": 90, "orig_width": 1, "orig_height": 3, "w": 3.0, "h": 1.0000000000000002, "label": "1x3", "piece": [0, 3, 4, 5], "color": [0.9606792319253812, 0.8788102977426223, 0.7982953517294629], "cell_center": [6.348076211353316, 11.49519052838329]}, {"index": 4, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [3, 5, 0, 2], "color": [0.45604219880223784, 0.5389623778780883, 0.5697794852484707], "cell_center": [10.580127018922195, 11.49519052838329]}, {"index": 6, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [3, 5, 3, 5], "color": [0.31954690683210263, 0.8833137473982972, 0.5343901806784576], "cell_center": [2.116025403784439, 6.897114317029974]}, {"index": 1, "angle": 60, "orig_width": 3, "orig_height": 2, "w": 3.2320508075688776, "h": 3.598076211353316, "label": "3x2", "piece": [0, 2, 1, 4], "color": [0.6727588926491315, 0.7150058166189809, 0.7389819116578052], "cell_center": [6.348076211353316, 6.897114317029974]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 3, "w": 2.3660254037844384, "h": 3.098076211353316, "label": "1x3", "piece": [0, 3, 0, 1], "color": [0.6868650158335574, 0.9527810095287015, 0.3759533180497939], "cell_center": [10.580127018922195, 6.897114317029974]}, {"index": 3, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [2, 3, 1, 4], "color": [0.3127383610214597, 0.21939199162080336, 0.6108708827723174], "cell_center": [2.116025403784439, 2.299038105676658]}], "variant": "perturbed_step"} | q+steps+all_intermediate_vis | [
"no",
"yes"
]
|
|
5x5_inst0_var3_q+steps+all_intermediate_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (2, 3).
<image_1>
Step 2: Rotate piece C by about 90 degrees clockwise. Flip piece C vertically. Place piece C with its upper-left corner at (x,y) = (0, 5).
<image_2>
Step 3: Place piece A with its upper-left corner at (x,y) = (0, 3).
<image_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/5x5_inst0/irregular_assembly/5x5_inst0irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst0/irregular_assembly/5x5_inst0irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst0/irregular_assembly/5x5_inst0irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst0/irregular_assembly/5x5_inst0irregular_assembly_step_3.png"], "instructions": ["", "Rotate piece B by about 90 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (2, 3).", "Rotate piece C by about 90 degrees clockwise. Flip piece C vertically. Place piece C with its upper-left corner at (x,y) = (0, 5).", "Place piece A with its upper-left corner at (x,y) = (0, 3)."], "valid": true, "config": [{"index": 1, "shape": [0, 3, 2, 4], "angle": 90, "flip": "none", "color": [0.11266780472017346, 0.6077706500651892, 0.8157494617717946]}, {"index": 2, "shape": [[3, 5, 0, 5], [0, 3, 4, 5]], "angle": 90, "flip": "vertical", "color": [0.9812693826021787, 0.06374484132173142, 0.7999597483605283]}, {"index": 0, "shape": [0, 3, 0, 2], "angle": 0, "flip": "none", "color": [0.22904786524879028, 0.36066975872733864, 0.727652997930021]}], "variant": "irregular_assembly"} | q+steps+all_intermediate_vis | [
"yes",
"no"
]
|
|
3x3_inst1_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_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, 1).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece 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) = (2, 1)."], "results": ["", "", "", "", "Over board"], "valid": false, "config": [{"index": 2, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [2, 3, 0, 2], "color": [0.6560169554382161, 0.08892499875961357, 0.2746181042425252]}, {"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]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.256800880301729, 0.03751904073714318, 0.9621217613176958]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.14881909049605957, 0.9309150666944223, 0.2473442019032891]}], "variant": "perturbed_part"} | q_only | [
"no",
"yes"
]
|
|
4x4_inst25_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece C with its upper-left corner at (x, y) = (0, 1).
Step 2: Place piece B with its upper-left corner at (x, y) = (3, 4).
Step 3: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).
Step 4: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst25/perturbed_step/4x4_inst25perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst25/perturbed_step/4x4_inst25perturbed_step_assembly_step_1.png"], "instructions": ["", "Place piece C with its upper-left corner at (x, y) = (0, 1).", "Place piece B with its upper-left corner at (x, y) = (3, 4).", "Rotate piece D by about 60 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, 4)."], "results": ["", "Over board", "Over board", "", ""], "valid": true, "config": [{"index": 2, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.25574162196635564, 0.51986659658632, 0.7369240379748156], "cell_center": [2.299038105676658, 6.348076211353315]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.2200316360246839, 0.16174837472242654, 0.08603563855101859], "cell_center": [6.897114317029974, 6.348076211353315]}, {"index": 3, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.9690186633818382, 0.9996354505529929, 0.019142756554478946], "cell_center": [2.299038105676658, 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": [0.46767221164754547, 0.4767504561709347, 0.15453668427780887], "cell_center": [6.897114317029974, 2.1160254037844384]}], "variant": "perturbed_step"} | q+steps | [
"no",
"yes"
]
|
|
5x5_inst20_var3_q+steps+all_for_valid_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece E with its upper-left corner at (x, y) = (0, 2).
<image_1>
Step 3: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 5).
Step 4: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).
Step 5: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3).
Step 6: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 5).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/5x5_inst20/perturbed_part/5x5_inst20perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst20/perturbed_part/5x5_inst20perturbed_part_assembly_step_1.png"], "instructions": ["", "Place piece E with its upper-left corner at (x, y) = (0, 2).", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 2).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 5).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 3).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 5)."], "results": ["", "Over board", "Over board", "Over board", "Over board", "Over board", "Over board"], "valid": false, "config": [{"index": 4, "angle": 60, "orig_width": 1, "orig_height": 4, "w": 3.9641016151377544, "h": 2.8660254037844393, "label": "1x4", "piece": [3, 7, 0, 1], "color": [0.9720987517034896, 0.30717752058410286, 0.9954839201553252]}, {"index": 5, "angle": 30, "orig_width": 3, "orig_height": 2, "w": 3.598076211353316, "h": 3.232050807568877, "label": "3x2", "piece": [3, 5, 2, 5], "color": [0.9572659279899577, 0.4307613937418586, 0.6034232087185293]}, {"index": 1, "angle": 60, "orig_width": 1, "orig_height": 3, "w": 3.098076211353316, "h": 2.3660254037844393, "label": "1x3", "piece": [0, 3, 1, 2], "color": [0.29527983330512286, 0.03452373626647609, 0.7406393851440458]}, {"index": 0, "angle": 0, "orig_width": 1, "orig_height": 3, "w": 1.0, "h": 3.0, "label": "1x3", "piece": [0, 3, 0, 1], "color": [0.5692441782687396, 0.3243564390906425, 0.13381655936326553]}, {"index": 3, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [2, 3, 2, 5], "color": [0.8493335933846814, 0.01821298458825249, 0.6634802182092484]}, {"index": 2, "angle": 90, "orig_width": 3, "orig_height": 2, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [0, 2, 2, 5], "color": [0.7321718244391414, 0.9693951297646558, 0.3446973975742349]}], "variant": "perturbed_part"} | q+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
5x5_inst28_var0_q+steps+all_for_valid_vis | 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).
<image_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, 5).
<image_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/5x5_inst28/irregular_assembly/5x5_inst28irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst28/irregular_assembly/5x5_inst28irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst28/irregular_assembly/5x5_inst28irregular_assembly_step_2.png"], "instructions": ["", "Place piece A with its upper-left corner at (x,y) = (0, 3).", "Rotate piece B by about 90 degrees clockwise. Flip piece B horizontally. Place piece B with its upper-left corner at (x,y) = (0, 5)."], "valid": true, "config": [{"index": 0, "shape": [0, 3, 0, 2], "angle": 0, "flip": "none", "color": [0.881167432767393, 0.7855284803688187, 0.3772204881958918]}, {"index": 1, "shape": [[3, 5, 0, 5], [0, 3, 2, 5]], "angle": 90, "flip": "horizontal", "color": [0.5532357346414898, 0.4182893750038911, 0.6823197977418842]}], "variant": "irregular_assembly"} | q+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
5x5_inst26_var2_q+steps+partial_vis | 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 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 3).
<image_1>
Step 2: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).
<image_2>
Step 3: Rotate piece H by about 60 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (0, 1).
Step 4: Place piece E with its upper-left corner at (x, y) = (2, 3).
Step 5: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).
Step 6: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (4, 5).
Step 7: Place piece B with its upper-left corner at (x, y) = (3, 5).
Step 8: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_3.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_4.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_5.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_6.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_7.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_8.png"], "instructions": ["", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 3).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).", "Rotate piece H by about 60 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) = (2, 3).", "Rotate piece D by about 90 degrees clockwise, and place piece D 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) = (4, 5).", "Place piece B with its upper-left corner at (x, y) = (3, 5).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5)."], "valid": true, "config": [{"index": 5, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 3, 5], "color": [0.5287403716910745, 0.2416113074909264, 0.7579619096454255], "cell_center": [10.580127018922195, 6.897114317029974]}, {"index": 6, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [3, 5, 3, 5], "color": [0.6013270902817128, 0.20914619919028254, 0.4033113538417381], "cell_center": [2.116025403784439, 2.299038105676658]}, {"index": 7, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [4, 5, 0, 3], "color": [0.5214126793522373, 0.14658978964867253, 0.6756221248175152], "cell_center": [6.348076211353316, 2.299038105676658]}, {"index": 4, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [2, 4, 2, 3], "color": [0.6003826573056964, 0.9154657240634051, 0.995177040494265], "cell_center": [6.348076211353316, 6.897114317029974]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.8803612645329522, 0.08972992376219513, 0.13853462269878136], "cell_center": [2.116025403784439, 6.897114317029974]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 4, 5], "color": [0.750580880238409, 0.9677258968276199, 0.5554991195925426], "cell_center": [10.580127018922195, 11.49519052838329]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.05129250255149531, 0.690108257246787, 0.6825944190144936], "cell_center": [6.348076211353316, 11.49519052838329]}, {"index": 0, "angle": 60, "orig_width": 3, "orig_height": 2, "w": 3.2320508075688776, "h": 3.598076211353316, "label": "3x2", "piece": [0, 2, 0, 3], "color": [0.2708804406374331, 0.5064200373641157, 0.2388775069967718], "cell_center": [2.116025403784439, 11.49519052838329]}], "variant": "assembly"} | q+steps+partial_vis | [
"no",
"yes"
]
|
|
4x4_inst11_var1_q+steps+all_intermediate_vis | 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).
<image_1>
Step 2: Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
<image_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).
<image_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_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+all_intermediate_vis | [
"yes",
"no"
]
|
|
3x3_inst1_var1_q+steps+partial_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
<image_1>
Step 2: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
<image_2>
Step 3: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 4: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 1).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst1/perturbed_part/3x3_inst1perturbed_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, 1).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).", "Rotate piece 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) = (2, 1)."], "results": ["", "", "", "", "Over board"], "valid": false, "config": [{"index": 2, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [2, 3, 0, 2], "color": [0.6560169554382161, 0.08892499875961357, 0.2746181042425252]}, {"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]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.256800880301729, 0.03751904073714318, 0.9621217613176958]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.14881909049605957, 0.9309150666944223, 0.2473442019032891]}], "variant": "perturbed_part"} | q+steps+partial_vis | [
"no",
"yes"
]
|
|
3x3_inst7_var2_q+steps+all_for_valid_vis | 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) = (2, 1).
<image_1>
Step 2: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
<image_2>
Step 3: Place piece C with its upper-left corner at (x, y) = (0, 1).
<image_3>
Step 4: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
<image_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/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+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
4x4_inst1_var2_q+steps+all_intermediate_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).
<image_1>
Step 2: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).
<image_2>
Step 3: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).
<image_3>
Step 4: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4).
<image_4>
Step 5: Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).
<image_5>
Step 6: Place piece F with its upper-left corner at (x, y) = (0, 1).
<image_6>
Step 7: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
<image_7>
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_6.png", "output_dir/Tangram_puzzle/4x4_inst1/perturbed_part/4x4_inst1perturbed_part_assembly_step_7.png"], "instructions": ["", "Rotate piece E by about 30 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (1, 2).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (2, 1).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Place piece F with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4)."], "results": ["", "", "", "", "", "", "", "Overlap"], "valid": false, "config": [{"index": 4, "angle": 90, "orig_width": 3, "orig_height": 1, "w": 1.0000000000000002, "h": 3.0, "label": "1x3", "piece": [2, 3, 1, 4], "color": [0.13799246151005418, 0.8543080443892493, 0.24339036992847662]}, {"index": 3, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.29597082072739067, 0.44809929338734733, 0.6881087446134356]}, {"index": 6, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 2, 4], "color": [0.42310099437189364, 0.8646275408342275, 0.7782290354645087]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.37595342334832693, 0.6861020575940404, 0.15051798252162207]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 1, 2], "color": [0.2708162857112263, 0.34824512961383103, 0.6894047673252708]}, {"index": 5, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [3, 4, 0, 2], "color": [0.269630185073346, 0.43741849728502513, 0.119444847905815]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 3, "w": 2.3660254037844384, "h": 3.098076211353316, "label": "1x3", "piece": [0, 3, 0, 1], "color": [0.33356625224597825, 0.8251586315847872, 0.9977506524222988]}], "variant": "perturbed_part"} | q+steps+all_intermediate_vis | [
"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? | 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"
]
|
|
3x3_inst27_var1_q+steps+all_intermediate_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
<image_1>
Step 2: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 1).
<image_2>
Step 3: Place piece B with its upper-left corner at (x, y) = (1, 3).
<image_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_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+steps+all_intermediate_vis | [
"yes",
"no"
]
|
|
4x4_inst25_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).
Step 2: Place piece C with its upper-left corner at (x, y) = (0, 2).
Step 3: Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).
Step 4: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (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_inst25/perturbed_part/4x4_inst25perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst25/perturbed_part/4x4_inst25perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst25/perturbed_part/4x4_inst25perturbed_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).", "Place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (2, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4)."], "results": ["", "", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 0, "angle": 90, "orig_width": 4, "orig_height": 3, "w": 3.0000000000000004, "h": 4.0, "label": "3x4", "piece": [0, 3, 0, 4], "color": [0.46767221164754547, 0.4767504561709347, 0.15453668427780887]}, {"index": 2, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.25574162196635564, 0.51986659658632, 0.7369240379748156]}, {"index": 3, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 2, 4], "color": [0.9690186633818382, 0.9996354505529929, 0.019142756554478946]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.2200316360246839, 0.16174837472242654, 0.08603563855101859]}], "variant": "perturbed_part"} | q+steps | [
"yes",
"no"
]
|
|
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 C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Step 2: Place piece B with its upper-left corner at (x, y) = (0, 2).
Step 3: Rotate piece A by about 60 degrees clockwise, and 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/3x3_inst14/perturbed_step/3x3_inst14perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst14/perturbed_step/3x3_inst14perturbed_step_assembly_step_3.png"], "instructions": ["", "Rotate piece C by about 90 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).", "Place piece B with its upper-left corner at (x, y) = (0, 2).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (1, 2)."], "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": [0.7571710444334083, 0.6145865680611448, 0.2092124857635973], "cell_center": [2.049038105676658, 5.049038105676658]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.7375466272024475, 0.7958785429353309, 0.9602750500929624], "cell_center": [6.147114317029974, 5.049038105676658]}, {"index": 0, "angle": 30, "orig_width": 3, "orig_height": 1, "w": 3.098076211353316, "h": 2.3660254037844384, "label": "3x1", "piece": [0, 1, 0, 3], "color": [0.6986416373362043, 0.39103013274436993, 0.7338256355090964], "cell_center": [2.049038105676658, 1.6830127018922192]}], "variant": "perturbed_step"} | q+steps | [
"no",
"yes"
]
|
|
5x5_inst26_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 3).
Step 2: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).
Step 3: Rotate piece H by about 60 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (0, 1).
Step 4: Place piece E with its upper-left corner at (x, y) = (2, 3).
Step 5: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).
Step 6: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (4, 5).
Step 7: Place piece B with its upper-left corner at (x, y) = (3, 5).
Step 8: Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_3.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_4.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_5.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_6.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_7.png", "output_dir/Tangram_puzzle/5x5_inst26/assembly/5x5_inst26assembly_step_8.png"], "instructions": ["", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (3, 3).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).", "Rotate piece H by about 60 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) = (2, 3).", "Rotate piece D by about 90 degrees clockwise, and place piece D 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) = (4, 5).", "Place piece B with its upper-left corner at (x, y) = (3, 5).", "Rotate piece A by about 60 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5)."], "valid": true, "config": [{"index": 5, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 3, 5], "color": [0.5287403716910745, 0.2416113074909264, 0.7579619096454255], "cell_center": [10.580127018922195, 6.897114317029974]}, {"index": 6, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [3, 5, 3, 5], "color": [0.6013270902817128, 0.20914619919028254, 0.4033113538417381], "cell_center": [2.116025403784439, 2.299038105676658]}, {"index": 7, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [4, 5, 0, 3], "color": [0.5214126793522373, 0.14658978964867253, 0.6756221248175152], "cell_center": [6.348076211353316, 2.299038105676658]}, {"index": 4, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [2, 4, 2, 3], "color": [0.6003826573056964, 0.9154657240634051, 0.995177040494265], "cell_center": [6.348076211353316, 6.897114317029974]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [2, 4, 0, 2], "color": [0.8803612645329522, 0.08972992376219513, 0.13853462269878136], "cell_center": [2.116025403784439, 6.897114317029974]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 4, 5], "color": [0.750580880238409, 0.9677258968276199, 0.5554991195925426], "cell_center": [10.580127018922195, 11.49519052838329]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 3, 4], "color": [0.05129250255149531, 0.690108257246787, 0.6825944190144936], "cell_center": [6.348076211353316, 11.49519052838329]}, {"index": 0, "angle": 60, "orig_width": 3, "orig_height": 2, "w": 3.2320508075688776, "h": 3.598076211353316, "label": "3x2", "piece": [0, 2, 0, 3], "color": [0.2708804406374331, 0.5064200373641157, 0.2388775069967718], "cell_center": [2.116025403784439, 11.49519052838329]}], "variant": "assembly"} | q+steps | [
"no",
"yes"
]
|
|
4x4_inst9_var3_q+steps+all_intermediate_vis | 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).
<image_1>
Step 2: Rotate piece C by about 30 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (0, 4).
<image_2>
Step 3: Rotate piece B by about 30 degrees clockwise. Place piece B with its lower-left corner at (x,y) = (0, 3).
<image_3>
Step 4: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (3, 1).
<image_4>
Step 5: Place piece E with its upper-left corner at (x,y) = (1, 4).
<image_5>
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+all_intermediate_vis | [
"no",
"yes"
]
|
|
3x3_inst1_var2_q+steps+all_intermediate_vis | 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).
<image_1>
Step 3: Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 3).
Step 4: Rotate piece 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? | B | {"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+all_intermediate_vis | [
"yes",
"no"
]
|
|
5x5_inst21_var0_q+steps+all_for_valid_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Place piece E with its upper-left corner at (x,y) = (2, 5).
<image_1>
Step 2: Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (4, 3).
<image_2>
Step 3: Rotate piece F by about 60 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (3, 5).
<image_3>
Step 4: Rotate piece C by about 30 degrees clockwise. Flip piece C horizontally. Place piece C with its upper-left corner at (x,y) = (0, 5).
<image_4>
Step 5: Rotate piece B by about 60 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 2).
<image_5>
Step 6: Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (1, 3).
<image_6>
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/5x5_inst21/irregular_assembly/5x5_inst21irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst21/irregular_assembly/5x5_inst21irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst21/irregular_assembly/5x5_inst21irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst21/irregular_assembly/5x5_inst21irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/5x5_inst21/irregular_assembly/5x5_inst21irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/5x5_inst21/irregular_assembly/5x5_inst21irregular_assembly_step_5.png", "output_dir/Tangram_puzzle/5x5_inst21/irregular_assembly/5x5_inst21irregular_assembly_step_6.png"], "instructions": ["", "Place piece E with its upper-left corner at (x,y) = (2, 5).", "Rotate piece A by about 30 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (4, 3).", "Rotate piece F by about 60 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (3, 5).", "Rotate piece C by about 30 degrees clockwise. Flip piece C horizontally. Place piece C with its upper-left corner at (x,y) = (0, 5).", "Rotate piece B by about 60 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 2).", "Rotate piece D by about 90 degrees clockwise. Place piece D with its upper-left corner at (x,y) = (1, 3)."], "valid": true, "config": [{"index": 4, "shape": [3, 5, 3, 5], "angle": 0, "flip": "none", "color": [0.45604219880223784, 0.5389623778780883, 0.5697794852484707]}, {"index": 0, "shape": [0, 3, 4, 5], "angle": 30, "flip": "none", "color": [0.6868650158335574, 0.9527810095287015, 0.3759533180497939]}, {"index": 5, "shape": [[0, 3, 0, 1], [3, 5, 0, 2]], "angle": 60, "flip": "none", "color": [0.9551178624688467, 0.0686103193589005, 0.20035121121617527]}, {"index": 2, "shape": [2, 3, 1, 4], "angle": 30, "flip": "horizontal", "color": [0.9606792319253812, 0.8788102977426223, 0.7982953517294629]}, {"index": 1, "shape": [0, 2, 1, 4], "angle": 60, "flip": "none", "color": [0.6727588926491315, 0.7150058166189809, 0.7389819116578052]}, {"index": 3, "shape": [3, 5, 2, 3], "angle": 90, "flip": "none", "color": [0.3127383610214597, 0.21939199162080336, 0.6108708827723174]}], "variant": "irregular_assembly"} | q+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
4x4_inst3_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_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"
]
|
|
4x4_inst12_var3_q+steps+all_for_valid_vis | 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) = (2, 2).
<image_1>
Step 3: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Step 4: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/4x4_inst12/perturbed_step/4x4_inst12perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst12/perturbed_step/4x4_inst12perturbed_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) = (2, 2).", "Rotate piece B by about 60 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (3, 4).", "Rotate piece C by about 60 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) = (0, 1)."], "results": ["", "Over board", "Over board", "", ""], "valid": true, "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": [0.8269286759639897, 0.28853959708119414, 0.11506735623330777], "cell_center": [2.116025403784439, 7.5]}, {"index": 1, "angle": 60, "orig_width": 1, "orig_height": 3, "w": 3.098076211353316, "h": 2.3660254037844393, "label": "1x3", "piece": [0, 3, 3, 4], "color": [0.6933282349034623, 0.28464064197742567, 0.5984440934517744], "cell_center": [6.348076211353316, 7.5]}, {"index": 2, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.49483518787283254, 0.25660426038958584, 0.4007459306539174], "cell_center": [2.116025403784439, 2.5]}, {"index": 3, "angle": 90, "orig_width": 4, "orig_height": 1, "w": 1.0000000000000002, "h": 4.0, "label": "4x1", "piece": [3, 4, 0, 4], "color": [0.8799540670390662, 0.016815702542142485, 0.6851494150554925], "cell_center": [6.348076211353316, 2.5]}], "variant": "perturbed_step"} | q+steps+all_for_valid_vis | [
"no",
"yes"
]
|
|
5x5_inst6_var2_q+steps+all_for_valid_vis | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 3).
<image_1>
Step 2: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).
<image_2>
Step 4: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (4, 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/5x5_inst6/perturbed_part/5x5_inst6perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst6/perturbed_part/5x5_inst6perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst6/perturbed_part/5x5_inst6perturbed_part_assembly_step_2.png"], "instructions": ["", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (0, 3).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).", "Place piece C with its upper-left corner at (x, y) = (1, 3).", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (4, 3)."], "results": ["", "", "Overlap", "Overlap", "Overlap"], "valid": false, "config": [{"index": 1, "angle": 90, "orig_width": 1, "orig_height": 3, "w": 3.0, "h": 1.0000000000000002, "label": "3x1", "piece": [2, 5, 0, 1], "color": [0.9506934036021233, 0.23419129410494954, 0.6762645313920832]}, {"index": 0, "angle": 30, "orig_width": 6, "orig_height": 3, "w": 6.696152422706632, "h": 5.598076211353316, "label": "6x3", "piece": [0, 3, 0, 6], "color": [0.17621403068118424, 0.691472894646019, 0.5769390588104387]}, {"index": 2, "angle": 0, "orig_width": 3, "orig_height": 3, "w": 3.0, "h": 3.0, "label": "3x3", "piece": [2, 5, 1, 4], "color": [0.4888216384881636, 0.12506847542521837, 0.4776801807212071]}, {"index": 3, "angle": 30, "orig_width": 1, "orig_height": 3, "w": 2.3660254037844384, "h": 3.098076211353316, "label": "1x3", "piece": [2, 5, 4, 5], "color": [0.5022701810100869, 0.9395770862498443, 0.19632803527820641]}], "variant": "perturbed_part"} | q+steps+all_for_valid_vis | [
"yes",
"no"
]
|
|
3x3_inst17_var2_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).
Step 2: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (3, 3).
Step 3: Place piece A with its upper-left corner at (x, y) = (0, 3).
Step 4: Rotate piece B by about 30 degrees clockwise, and place piece B 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_inst17/perturbed_step/3x3_inst17perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst17/perturbed_step/3x3_inst17perturbed_step_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst17/perturbed_step/3x3_inst17perturbed_step_assembly_step_2.png"], "instructions": ["", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (0, 2).", "Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (3, 3).", "Place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3)."], "results": ["", "", "Over board", "Over board", "Over board"], "valid": false, "config": [{"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 0, 1], "color": [0.5019930741412741, 0.012559332865545225, 0.17639361210978133], "cell_center": [1.5, 4.848076211353316]}, {"index": 3, "angle": 90, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [1, 3, 1, 3], "color": [0.14133289160513685, 0.7931598690282321, 0.18641685245599515], "cell_center": [4.5, 4.848076211353316]}, {"index": 0, "angle": 0, "orig_width": 2, "orig_height": 1, "w": 2.0, "h": 1.0, "label": "2x1", "piece": [0, 1, 0, 2], "color": [0.3661900859965067, 0.7558139235341418, 0.8335971471271846], "cell_center": [1.5, 1.6160254037844386]}, {"index": 1, "angle": 30, "orig_width": 1, "orig_height": 1, "w": 1.3660254037844386, "h": 1.3660254037844386, "label": "1x1", "piece": [0, 1, 2, 3], "color": [0.5781587086361871, 0.8308911842343512, 0.6376093319739924], "cell_center": [4.5, 1.6160254037844386]}], "variant": "perturbed_step"} | q+steps | [
"no",
"yes"
]
|
|
5x5_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 G by about 60 degrees clockwise. Place piece G with its upper-left corner at (x,y) = (0, 5).
Step 2: Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 3).
Step 3: Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 3).
Step 4: Rotate piece E by about 90 degrees clockwise. Flip piece E horizontally. Place piece E with its upper-left corner at (x,y) = (2, 5).
Step 5: Rotate piece F by about 60 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (4, 5).
Step 6: Rotate piece C by about 60 degrees clockwise. Place piece C with its upper-left corner at (x,y) = (2, 2).
Step 7: Rotate piece D by about 30 degrees clockwise. Place piece D 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/5x5_inst2/irregular_assembly/5x5_inst2irregular_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst2/irregular_assembly/5x5_inst2irregular_assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst2/irregular_assembly/5x5_inst2irregular_assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst2/irregular_assembly/5x5_inst2irregular_assembly_step_3.png", "output_dir/Tangram_puzzle/5x5_inst2/irregular_assembly/5x5_inst2irregular_assembly_step_4.png", "output_dir/Tangram_puzzle/5x5_inst2/irregular_assembly/5x5_inst2irregular_assembly_step_5.png", "output_dir/Tangram_puzzle/5x5_inst2/irregular_assembly/5x5_inst2irregular_assembly_step_6.png", "output_dir/Tangram_puzzle/5x5_inst2/irregular_assembly/5x5_inst2irregular_assembly_step_7.png"], "instructions": ["", "Rotate piece G by about 60 degrees clockwise. Place piece G with its upper-left corner at (x,y) = (0, 5).", "Rotate piece B by about 30 degrees clockwise. Place piece B with its upper-left corner at (x,y) = (1, 3).", "Rotate piece A by about 90 degrees clockwise. Place piece A with its upper-left corner at (x,y) = (0, 3).", "Rotate piece E by about 90 degrees clockwise. Flip piece E horizontally. Place piece E with its upper-left corner at (x,y) = (2, 5).", "Rotate piece F by about 60 degrees clockwise. Place piece F with its upper-left corner at (x,y) = (4, 5).", "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. Place piece D with its upper-left corner at (x,y) = (3, 2)."], "valid": true, "config": [{"index": 6, "shape": [[2, 3, 2, 5], [3, 5, 2, 4]], "angle": 60, "flip": "none", "color": [0.6456777334849971, 0.14969007288750447, 0.6632481407568962]}, {"index": 1, "shape": [0, 3, 1, 2], "angle": 30, "flip": "none", "color": [0.9674997295225761, 0.923817937082085, 0.7655426160530926]}, {"index": 0, "shape": [0, 3, 0, 1], "angle": 90, "flip": "none", "color": [0.6177564134279324, 0.30267658312681556, 0.9466049659531661]}, {"index": 4, "shape": [0, 2, 2, 3], "angle": 90, "flip": "horizontal", "color": [0.7628923107019139, 0.4050741354825568, 0.22050158435093214]}, {"index": 5, "shape": [0, 2, 3, 5], "angle": 60, "flip": "none", "color": [0.05140573572158513, 0.6658476413035953, 0.38287602333513016]}, {"index": 2, "shape": [3, 5, 4, 5], "angle": 60, "flip": "none", "color": [0.6813082960560619, 0.041928625291456356, 0.8287474591282277]}, {"index": 3, "shape": [3, 5, 0, 2], "angle": 30, "flip": "none", "color": [0.9418392346428796, 0.6635433533778499, 0.3633763434520382]}], "variant": "irregular_assembly"} | q+steps | [
"no",
"yes"
]
|
|
5x5_inst23_var2_q+steps+all_intermediate_vis | 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, 2).
<image_1>
Step 3: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 5).
Step 4: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3).
Step 5: Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 2).
Step 6: Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).
Step 7: Place piece C with its upper-left corner at (x, y) = (3, 5).
Step 8: Rotate piece H by about 90 degrees clockwise, and place piece H 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/5x5_inst23/perturbed_step/5x5_inst23perturbed_step_assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst23/perturbed_step/5x5_inst23perturbed_step_assembly_step_1.png"], "instructions": ["", "Place piece D with its upper-left corner at (x, y) = (0, 2).", "Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 5).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3).", "Rotate piece F by about 60 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (0, 2).", "Rotate piece G by about 90 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 2).", "Place piece C with its upper-left corner at (x, y) = (3, 5).", "Rotate piece H by about 90 degrees clockwise, and place piece H with its upper-left corner at (x, y) = (0, 1)."], "results": ["", "", "", "", "", "", "", "", ""], "valid": true, "config": [{"index": 3, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.9051772486737331, 0.7385561268538365, 0.6244178365704682], "cell_center": [2.0, 15.0]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.13453167620047635, 0.10767889340911707, 0.1736206774323169], "cell_center": [6.0, 15.0]}, {"index": 1, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 2, 3], "color": [0.7404514317155803, 0.8718875209196989, 0.3328055243992567], "cell_center": [10.0, 15.0]}, {"index": 4, "angle": 60, "orig_width": 2, "orig_height": 1, "w": 1.8660254037844388, "h": 2.232050807568877, "label": "2x1", "piece": [2, 3, 3, 5], "color": [0.15053419878752228, 0.3721570211175803, 0.16968816167044165], "cell_center": [2.0, 9.0]}, {"index": 5, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [3, 4, 0, 3], "color": [0.16635899358365747, 0.4019092961116184, 0.2953645038676713], "cell_center": [6.0, 9.0]}, {"index": 6, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "2x1", "piece": [3, 4, 3, 5], "color": [0.5407675515714042, 0.05986582651938599, 0.3461125524436537], "cell_center": [10.0, 9.0]}, {"index": 2, "angle": 0, "orig_width": 2, "orig_height": 2, "w": 2.0, "h": 2.0, "label": "2x2", "piece": [0, 2, 3, 5], "color": [0.6363307808049075, 0.43425809582144304, 0.7624637521782265], "cell_center": [2.0, 3.0]}, {"index": 7, "angle": 90, "orig_width": 5, "orig_height": 1, "w": 1.0000000000000002, "h": 5.0, "label": "5x1", "piece": [4, 5, 0, 5], "color": [0.9435797415975148, 0.8757688803214517, 0.24440791247200755], "cell_center": [6.0, 3.0]}], "variant": "perturbed_step"} | q+steps+all_intermediate_vis | [
"yes",
"no"
]
|
|
4x4_inst1_var1_q_only | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Keep in mind that you can rotate or flip the pieces. Can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_0.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_1.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_2.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_3.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_4.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_5.png", "output_dir/Tangram_puzzle/4x4_inst1/assembly/4x4_inst1assembly_step_6.png"], "instructions": ["", "Rotate piece D by about 60 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (1, 2).", "Rotate piece E by about 90 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 4).", "Rotate piece B by about 90 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (1, 4).", "Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 4).", "Rotate piece F by about 90 degrees clockwise, and place piece F with its upper-left corner at (x, y) = (2, 1)."], "valid": true, "config": [{"index": 3, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 1, 4], "color": [0.29597082072739067, 0.44809929338734733, 0.6881087446134356], "cell_center": [2.0, 2.049038105676658]}, {"index": 4, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 0, 2], "color": [0.13799246151005418, 0.8543080443892493, 0.24339036992847662], "cell_center": [6.0, 2.049038105676658]}, {"index": 0, "angle": 90, "orig_width": 1, "orig_height": 3, "w": 3.0, "h": 1.0000000000000002, "label": "3x1", "piece": [0, 3, 0, 1], "color": [0.33356625224597825, 0.8251586315847872, 0.9977506524222988], "cell_center": [2.0, 6.147114317029974]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 1, 2], "color": [0.2708162857112263, 0.34824512961383103, 0.6894047673252708], "cell_center": [6.0, 6.147114317029974]}, {"index": 2, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 2, 4], "color": [0.37595342334832693, 0.6861020575940404, 0.15051798252162207], "cell_center": [10.0, 6.147114317029974]}, {"index": 5, "angle": 90, "orig_width": 2, "orig_height": 1, "w": 1.0000000000000002, "h": 2.0, "label": "1x2", "piece": [3, 4, 2, 4], "color": [0.269630185073346, 0.43741849728502513, 0.119444847905815], "cell_center": [10.0, 2.049038105676658]}], "variant": "assembly"} | q_only | [
"yes",
"no"
]
|
|
3x3_inst5_var1_q+steps | Check out an Tangram puzzle below. The left panel is an empty Tangram puzzle, while the right panel shows available pieces to complete the puzzle.
<image_0>Below are the steps to complete the Tangram puzzle:
Step 1: Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1).
Step 2: Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).
Step 3: Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).
Step 4: Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2).
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | A | {"images": ["output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_0.png", "output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_1.png", "output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_2.png", "output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_3.png", "output_dir/Tangram_puzzle/3x3_inst5/perturbed_part/3x3_inst5perturbed_part_assembly_step_4.png"], "instructions": ["", "Rotate piece D by about 30 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 1).", "Rotate piece A by about 90 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 3).", "Rotate piece B by about 30 degrees clockwise, and place piece B with its upper-left corner at (x, y) = (2, 3).", "Rotate piece C by about 60 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (1, 2)."], "results": ["", "", "", "", "Overlap"], "valid": false, "config": [{"index": 3, "angle": 60, "orig_width": 3, "orig_height": 1, "w": 2.3660254037844393, "h": 3.098076211353316, "label": "3x1", "piece": [2, 3, 0, 3], "color": [0.6193928056663489, 0.5318876761094359, 0.3265874020213657]}, {"index": 0, "angle": 30, "orig_width": 2, "orig_height": 2, "w": 2.732050807568877, "h": 2.732050807568877, "label": "2x2", "piece": [0, 2, 0, 2], "color": [0.07357053851548412, 0.9733870202483494, 0.6618987325140707]}, {"index": 1, "angle": 90, "orig_width": 1, "orig_height": 2, "w": 2.0, "h": 1.0000000000000002, "label": "2x1", "piece": [0, 2, 2, 3], "color": [0.445111390892756, 0.16653115882702152, 0.8213500363599643]}, {"index": 2, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [1, 3, 1, 2], "color": [0.2058943173019785, 0.3076399768831918, 0.506910472590548]}], "variant": "perturbed_part"} | q+steps | [
"no",
"yes"
]
|
|
5x5_inst22_var2_q+steps+all_intermediate_vis | 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 F with its upper-left corner at (x, y) = (0, 1).
<image_1>
Step 2: Rotate piece A by about 30 degrees clockwise, and place piece A with its upper-left corner at (x, y) = (0, 5).
<image_2>
Step 3: Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 1).
<image_3>
Step 4: Place piece B with its upper-left corner at (x, y) = (1, 5).
<image_4>
Step 5: Rotate piece D by about 90 degrees clockwise, and place piece D with its upper-left corner at (x, y) = (0, 3).
<image_5>
Step 6: Rotate piece C by about 30 degrees clockwise, and place piece C with its upper-left corner at (x, y) = (2, 5).
<image_6>
Step 7: Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3).
<image_7>
Based on the above steps, can the Tangram puzzle be completed with the available pieces, yes or no? | B | {"images": ["output_dir/Tangram_puzzle/5x5_inst22/assembly/5x5_inst22assembly_step_0.png", "output_dir/Tangram_puzzle/5x5_inst22/assembly/5x5_inst22assembly_step_1.png", "output_dir/Tangram_puzzle/5x5_inst22/assembly/5x5_inst22assembly_step_2.png", "output_dir/Tangram_puzzle/5x5_inst22/assembly/5x5_inst22assembly_step_3.png", "output_dir/Tangram_puzzle/5x5_inst22/assembly/5x5_inst22assembly_step_4.png", "output_dir/Tangram_puzzle/5x5_inst22/assembly/5x5_inst22assembly_step_5.png", "output_dir/Tangram_puzzle/5x5_inst22/assembly/5x5_inst22assembly_step_6.png", "output_dir/Tangram_puzzle/5x5_inst22/assembly/5x5_inst22assembly_step_7.png"], "instructions": ["", "Place piece F 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, 5).", "Rotate piece G by about 30 degrees clockwise, and place piece G with its upper-left corner at (x, y) = (3, 1).", "Place piece B with its upper-left corner at (x, y) = (1, 5).", "Rotate piece D by about 90 degrees clockwise, and place piece D 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) = (2, 5).", "Rotate piece E by about 60 degrees clockwise, and place piece E with its upper-left corner at (x, y) = (3, 3)."], "valid": true, "config": [{"index": 5, "angle": 0, "orig_width": 3, "orig_height": 1, "w": 3.0, "h": 1.0, "label": "3x1", "piece": [4, 5, 0, 3], "color": [0.6402999119264724, 0.8307677199530366, 0.3467940413569095], "cell_center": [11.49519052838329, 6.348076211353315]}, {"index": 0, "angle": 30, "orig_width": 1, "orig_height": 2, "w": 1.8660254037844386, "h": 2.232050807568877, "label": "1x2", "piece": [0, 2, 0, 1], "color": [0.6405203796461321, 0.023309452940762476, 0.027484041188575503], "cell_center": [2.299038105676658, 10.580127018922191]}, {"index": 6, "angle": 30, "orig_width": 2, "orig_height": 1, "w": 2.232050807568877, "h": 1.8660254037844386, "label": "2x1", "piece": [4, 5, 3, 5], "color": [0.5669308789941798, 0.17771160614313664, 0.05932467004786823], "cell_center": [2.299038105676658, 2.1160254037844384]}, {"index": 1, "angle": 0, "orig_width": 1, "orig_height": 2, "w": 1.0, "h": 2.0, "label": "1x2", "piece": [0, 2, 1, 2], "color": [0.44075218865157606, 0.42471123105252684, 0.08555097937861667], "cell_center": [6.897114317029974, 10.580127018922191]}, {"index": 3, "angle": 90, "orig_width": 3, "orig_height": 2, "w": 2.0, "h": 3.0, "label": "2x3", "piece": [2, 4, 0, 3], "color": [0.3095037807862182, 0.5393779224145983, 0.43717010142501633], "cell_center": [2.299038105676658, 6.348076211353315]}, {"index": 2, "angle": 30, "orig_width": 3, "orig_height": 2, "w": 3.598076211353316, "h": 3.232050807568877, "label": "3x2", "piece": [0, 2, 2, 5], "color": [0.36183896530876314, 0.18332614765967048, 0.5509455412538088], "cell_center": [11.49519052838329, 10.580127018922191]}, {"index": 4, "angle": 60, "orig_width": 2, "orig_height": 2, "w": 2.7320508075688776, "h": 2.7320508075688776, "label": "2x2", "piece": [2, 4, 3, 5], "color": [0.7552139704653725, 0.8915737019729554, 0.044947480379529225], "cell_center": [6.897114317029974, 6.348076211353315]}], "variant": "assembly"} | q+steps+all_intermediate_vis | [
"no",
"yes"
]
|
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