sample_id stringlengths 4 4 | text_description stringlengths 370 410 | net_layout stringclasses 1
value | roll_sequence listlengths 2 10 | observed_path_faces listlengths 2 10 | image_paths dict | metadata dict | description stringclasses 9
values | net_faces listlengths 6 6 | net_patterns listlengths 6 6 | start_x int64 1 7 | start_y int64 1 6 | grid_width int64 3 9 | grid_height int64 3 9 | true_solution_faces dict | bottom_faces listlengths 3 11 | slot_sequence listlengths 2 10 | required_slots listlengths 2 6 | required_count int64 2 6 | answer dict | legacy_answer dict | prompt dict | __sample_id__ stringlengths 4 4 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
C201 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> W -> S -> W -> N -> N -> E
The ... | standard_cross | [
"N",
"W",
"S",
"W",
"N",
"N",
"E"
] | [
{
"patternId": "arrow_up",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "N",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "1",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C201_path_sequence.png"
} | {
"level_id": 201,
"name": "Reconstruct 201",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-201.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "star",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "heart",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "diamond",
"rotation": 180,
"flipHorizontal": false,
"flipVertica... | [
"star",
"heart",
"diamond",
"arrow_up",
"N",
"1"
] | 3 | 3 | 5 | 5 | {
"TOP": {
"patternId": "star",
"rotation": 90
},
"BOTTOM": {
"patternId": "1",
"rotation": 90
},
"FRONT": {
"patternId": "heart",
"rotation": 180
},
"BACK": {
"patternId": "arrow_up",
"rotation": 90
},
"LEFT": {
"patternId": "N",
"rotation": 270
},
"RIGHT":... | [
{
"patternId": "1",
"rotation": 90,
"x": 3,
"y": 3
},
{
"patternId": "arrow_up",
"rotation": 270,
"x": 3,
"y": 2
},
{
"patternId": "N",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patternId": "1",
"rotation": 0,
"x": 2,
"y": 3
},
{
"patter... | [
"BACK",
"LEFT",
"BOTTOM",
"FRONT",
"LEFT",
"BACK",
"BOTTOM"
] | [
"BACK",
"LEFT",
"BOTTOM",
"FRONT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "1",
"rotation": 90
},
"FRONT": {
"patternId": "heart",
"rotation": 180
},
"BACK": {
"patternId": "arrow_up",
"rotation": 270
},
"LEFT": {
"patter... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "1",
"rotation": 90
},
"FRONT": {
"patternId": "heart",
"rotation": 180
},
"BACK": {
"patternId": "arrow_up",
"rotation": 270
},
"LEFT": {
"patternId": "N",
"rotation": 0
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C201 |
C202 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> W -> S -> W -> S -> E
The puzzl... | standard_cross | [
"N",
"W",
"S",
"W",
"S",
"E"
] | [
{
"patternId": "arrow_down",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "N",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "X",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": tr... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C202_path_sequence.png"
} | {
"level_id": 202,
"name": "Reconstruct 202",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-202.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "6",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "6",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "7",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
}... | [
"6",
"6",
"7",
"arrow_down",
"N",
"X"
] | 3 | 2 | 5 | 5 | {
"TOP": {
"patternId": "6",
"rotation": 270
},
"BOTTOM": {
"patternId": "X",
"rotation": 180
},
"FRONT": {
"patternId": "6",
"rotation": 180
},
"BACK": {
"patternId": "arrow_down",
"rotation": 0
},
"LEFT": {
"patternId": "N",
"rotation": 0
},
"RIGHT": {
... | [
{
"patternId": "X",
"rotation": 180,
"x": 3,
"y": 2
},
{
"patternId": "arrow_down",
"rotation": 180,
"x": 3,
"y": 1
},
{
"patternId": "N",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId": "X",
"rotation": 90,
"x": 2,
"y": 2
},
{
"p... | [
"BACK",
"LEFT",
"BOTTOM",
"FRONT",
"RIGHT",
"BOTTOM"
] | [
"BACK",
"LEFT",
"BOTTOM",
"FRONT",
"RIGHT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "X",
"rotation": 180
},
"FRONT": {
"patternId": "6",
"rotation": 180
},
"BACK": {
"patternId": "arrow_down",
"rotation": 180
},
"LEFT": {
"pattern... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "X",
"rotation": 180
},
"FRONT": {
"patternId": "6",
"rotation": 180
},
"BACK": {
"patternId": "arrow_down",
"rotation": 180
},
"LEFT": {
"patternId": "N",
"rotation": 90
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C202 |
C203 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> E -> W -> N -> W -> S
The puzzl... | standard_cross | [
"W",
"E",
"W",
"N",
"W",
"S"
] | [
{
"patternId": "J",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "Q",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "J",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C203_path_sequence.png"
} | {
"level_id": 203,
"name": "Reconstruct 203",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-203.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "2",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "O",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "1",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
... | [
"2",
"O",
"1",
"circle",
"J",
"Q"
] | 3 | 2 | 5 | 4 | {
"TOP": {
"patternId": "2",
"rotation": 180
},
"BOTTOM": {
"patternId": "Q",
"rotation": 90
},
"FRONT": {
"patternId": "O",
"rotation": 180
},
"BACK": {
"patternId": "circle",
"rotation": 180
},
"LEFT": {
"patternId": "J",
"rotation": 0
},
"RIGHT": {
"p... | [
{
"patternId": "Q",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "J",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "Q",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "J",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId":... | [
"LEFT",
"BOTTOM",
"LEFT",
"BACK",
"TOP",
"LEFT"
] | [
"LEFT",
"BOTTOM",
"BACK",
"TOP"
] | 4 | {
"faces": {
"TOP": {
"patternId": "2",
"rotation": 180
},
"BOTTOM": {
"patternId": "Q",
"rotation": 90
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "circle",
"rotation": 0
},
"LEFT": {
"patternId": "J... | {
"TOP": {
"patternId": "2",
"rotation": 180
},
"BOTTOM": {
"patternId": "Q",
"rotation": 90
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "circle",
"rotation": 0
},
"LEFT": {
"patternId": "J",
"rotation": 90
},
"RIGHT": {
"patt... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C203 |
C204 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> S -> E -> S -> W -> W
The ... | standard_cross | [
"E",
"S",
"S",
"E",
"S",
"W",
"W"
] | [
{
"patternId": "R",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "E",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "N",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C204_path_sequence.png"
} | {
"level_id": 204,
"name": "Reconstruct 204",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-204.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "8",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "E",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "R",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},... | [
"8",
"E",
"R",
"2",
"N",
"2"
] | 1 | 1 | 5 | 6 | {
"TOP": {
"patternId": "8",
"rotation": 0
},
"BOTTOM": {
"patternId": "2",
"rotation": 180
},
"FRONT": {
"patternId": "E",
"rotation": 180
},
"BACK": {
"patternId": "2",
"rotation": 90
},
"LEFT": {
"patternId": "N",
"rotation": 180
},
"RIGHT": {
"patter... | [
{
"patternId": "2",
"rotation": 180,
"x": 1,
"y": 1
},
{
"patternId": "R",
"rotation": 90,
"x": 2,
"y": 1
},
{
"patternId": "E",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "N",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId"... | [
"RIGHT",
"FRONT",
"LEFT",
"TOP",
"BACK",
"LEFT",
"FRONT"
] | [
"RIGHT",
"FRONT",
"LEFT",
"TOP",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "8",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "E",
"rotation": 180
},
"BACK": {
"patternId": "2",
"rotation": 270
},
"LEFT": {
"patternId": "N",
... | {
"TOP": {
"patternId": "8",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "E",
"rotation": 180
},
"BACK": {
"patternId": "2",
"rotation": 270
},
"LEFT": {
"patternId": "N",
"rotation": 270
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C204 |
C205 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> S -> W -> N -> E -> N
The puzzl... | standard_cross | [
"W",
"S",
"W",
"N",
"E",
"N"
] | [
{
"patternId": "1",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "I",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C205_path_sequence.png"
} | {
"level_id": 205,
"name": "Reconstruct 205",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-205.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "I",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "3",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "heart",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
... | [
"I",
"3",
"heart",
"arrow_up",
"1",
"diamond"
] | 3 | 2 | 5 | 5 | {
"TOP": {
"patternId": "I",
"rotation": 0
},
"BOTTOM": {
"patternId": "diamond",
"rotation": 90
},
"FRONT": {
"patternId": "3",
"rotation": 0
},
"BACK": {
"patternId": "arrow_up",
"rotation": 0
},
"LEFT": {
"patternId": "1",
"rotation": 0
},
"RIGHT": {
... | [
{
"patternId": "diamond",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "1",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "3",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId": "I",
"rotation": 270,
"x": 1,
"y": 3
},
{
"patt... | [
"LEFT",
"FRONT",
"TOP",
"LEFT",
"FRONT",
"BOTTOM"
] | [
"LEFT",
"FRONT",
"TOP",
"BOTTOM"
] | 4 | {
"faces": {
"TOP": {
"patternId": "I",
"rotation": 0
},
"BOTTOM": {
"patternId": "diamond",
"rotation": 90
},
"FRONT": {
"patternId": "3",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "1"... | {
"TOP": {
"patternId": "I",
"rotation": 0
},
"BOTTOM": {
"patternId": "diamond",
"rotation": 90
},
"FRONT": {
"patternId": "3",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "1",
"rotation": 90
},
"RIGHT": {
"patte... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C205 |
C206 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> E -> N -> W -> N -> E -> S
The ... | standard_cross | [
"W",
"E",
"N",
"W",
"N",
"E",
"S"
] | [
{
"patternId": "P",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_right",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_left",
"rotation": 180,
"flipHorizontal": false,
"flipVer... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C206_path_sequence.png"
} | {
"level_id": 206,
"name": "Reconstruct 206",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-206.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "Y",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "I",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "X",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
... | [
"Y",
"I",
"X",
"arrow_left",
"P",
"arrow_right"
] | 2 | 3 | 4 | 5 | {
"TOP": {
"patternId": "Y",
"rotation": 180
},
"BOTTOM": {
"patternId": "arrow_right",
"rotation": 90
},
"FRONT": {
"patternId": "I",
"rotation": 180
},
"BACK": {
"patternId": "arrow_left",
"rotation": 0
},
"LEFT": {
"patternId": "P",
"rotation": 0
},
"RIGH... | [
{
"patternId": "arrow_right",
"rotation": 90,
"x": 2,
"y": 3
},
{
"patternId": "P",
"rotation": 270,
"x": 1,
"y": 3
},
{
"patternId": "arrow_right",
"rotation": 90,
"x": 2,
"y": 3
},
{
"patternId": "arrow_left",
"rotation": 180,
"x": 2,
"y"... | [
"LEFT",
"BOTTOM",
"BACK",
"LEFT",
"TOP",
"BACK",
"LEFT"
] | [
"LEFT",
"BOTTOM",
"BACK",
"TOP"
] | 4 | {
"faces": {
"TOP": {
"patternId": "Y",
"rotation": 180
},
"BOTTOM": {
"patternId": "arrow_right",
"rotation": 90
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "arrow_left",
"rotation": 180
},
"LEFT": {
... | {
"TOP": {
"patternId": "Y",
"rotation": 180
},
"BOTTOM": {
"patternId": "arrow_right",
"rotation": 90
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "arrow_left",
"rotation": 180
},
"LEFT": {
"patternId": "P",
"rotation": 90
},
"RIG... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C206 |
C207 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> W -> N -> N -> W -> N
The puzzl... | standard_cross | [
"N",
"W",
"N",
"N",
"W",
"N"
] | [
{
"patternId": "E",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "D",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "M",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C207_path_sequence.png"
} | {
"level_id": 207,
"name": "Reconstruct 207",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-207.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "M",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "J",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Z",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"M",
"J",
"Z",
"E",
"D",
"arrow_down"
] | 3 | 5 | 5 | 7 | {
"TOP": {
"patternId": "M",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_down",
"rotation": 270
},
"FRONT": {
"patternId": "J",
"rotation": 0
},
"BACK": {
"patternId": "E",
"rotation": 180
},
"LEFT": {
"patternId": "D",
"rotation": 0
},
"RIGHT": {
... | [
{
"patternId": "arrow_down",
"rotation": 270,
"x": 3,
"y": 5
},
{
"patternId": "E",
"rotation": 0,
"x": 3,
"y": 4
},
{
"patternId": "D",
"rotation": 180,
"x": 2,
"y": 4
},
{
"patternId": "M",
"rotation": 180,
"x": 2,
"y": 3
},
{
"pa... | [
"BACK",
"LEFT",
"TOP",
"RIGHT",
"FRONT",
"BOTTOM"
] | [
"BACK",
"LEFT",
"TOP",
"RIGHT",
"FRONT",
"BOTTOM"
] | 6 | {
"faces": {
"TOP": {
"patternId": "M",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_down",
"rotation": 270
},
"FRONT": {
"patternId": "J",
"rotation": 0
},
"BACK": {
"patternId": "E",
"rotation": 0
},
"LEFT": {
"patternId"... | {
"TOP": {
"patternId": "M",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_down",
"rotation": 270
},
"FRONT": {
"patternId": "J",
"rotation": 0
},
"BACK": {
"patternId": "E",
"rotation": 0
},
"LEFT": {
"patternId": "D",
"rotation": 90
},
"RIGHT": {
"... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C207 |
C208 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> E -> E -> N -> E
The puzzl... | standard_cross | [
"S",
"S",
"E",
"E",
"N",
"E"
] | [
{
"patternId": "circle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "O",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "circle",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": tru... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C208_path_sequence.png"
} | {
"level_id": 208,
"name": "Reconstruct 208",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-208.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "O",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "circle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "circle",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": f... | [
"O",
"circle",
"circle",
"6",
"Y",
"F"
] | 1 | 1 | 6 | 5 | {
"TOP": {
"patternId": "O",
"rotation": 0
},
"BOTTOM": {
"patternId": "F",
"rotation": 0
},
"FRONT": {
"patternId": "circle",
"rotation": 90
},
"BACK": {
"patternId": "6",
"rotation": 270
},
"LEFT": {
"patternId": "Y",
"rotation": 90
},
"RIGHT": {
"patt... | [
{
"patternId": "F",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "circle",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "O",
"rotation": 0,
"x": 1,
"y": 3
},
{
"patternId": "circle",
"rotation": 180,
"x": 2,
"y": 3
},
{
"patt... | [
"FRONT",
"TOP",
"RIGHT",
"BOTTOM",
"FRONT",
"LEFT"
] | [
"FRONT",
"TOP",
"RIGHT",
"BOTTOM",
"LEFT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "O",
"rotation": 0
},
"BOTTOM": {
"patternId": "F",
"rotation": 0
},
"FRONT": {
"patternId": "circle",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "Y",... | {
"TOP": {
"patternId": "O",
"rotation": 0
},
"BOTTOM": {
"patternId": "F",
"rotation": 0
},
"FRONT": {
"patternId": "circle",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "Y",
"rotation": 180
},
"RIGHT": {
"patte... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C208 |
C209 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> S -> W -> S -> E -> N -> N
The ... | standard_cross | [
"W",
"S",
"W",
"S",
"E",
"N",
"N"
] | [
{
"patternId": "O",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "2",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "K",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C209_path_sequence.png"
} | {
"level_id": 209,
"name": "Reconstruct 209",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-209.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "K",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "2",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "3",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},... | [
"K",
"2",
"3",
"B",
"O",
"3"
] | 3 | 1 | 5 | 5 | {
"TOP": {
"patternId": "K",
"rotation": 0
},
"BOTTOM": {
"patternId": "3",
"rotation": 90
},
"FRONT": {
"patternId": "2",
"rotation": 180
},
"BACK": {
"patternId": "B",
"rotation": 180
},
"LEFT": {
"patternId": "O",
"rotation": 180
},
"RIGHT": {
"patter... | [
{
"patternId": "3",
"rotation": 90,
"x": 3,
"y": 1
},
{
"patternId": "O",
"rotation": 90,
"x": 2,
"y": 1
},
{
"patternId": "2",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patternId": "K",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": ... | [
"LEFT",
"FRONT",
"TOP",
"RIGHT",
"FRONT",
"TOP",
"BACK"
] | [
"LEFT",
"FRONT",
"TOP",
"RIGHT",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "K",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "2",
"rotation": 180
},
"BACK": {
"patternId": "B",
"rotation": 0
},
"LEFT": {
"patternId": "O",
... | {
"TOP": {
"patternId": "K",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "2",
"rotation": 180
},
"BACK": {
"patternId": "B",
"rotation": 0
},
"LEFT": {
"patternId": "O",
"rotation": 270
},
"RIGHT": {
"patternId... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C209 |
C210 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> E -> E -> N -> N -> W
The puzzl... | standard_cross | [
"W",
"E",
"E",
"N",
"N",
"W"
] | [
{
"patternId": "arrow_up",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "N",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C210_path_sequence.png"
} | {
"level_id": 210,
"name": "Reconstruct 210",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-210.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "M",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "B",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "N",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
}... | [
"M",
"B",
"N",
"triangle",
"arrow_up",
"3"
] | 2 | 3 | 5 | 5 | {
"TOP": {
"patternId": "M",
"rotation": 270
},
"BOTTOM": {
"patternId": "3",
"rotation": 270
},
"FRONT": {
"patternId": "B",
"rotation": 90
},
"BACK": {
"patternId": "triangle",
"rotation": 180
},
"LEFT": {
"patternId": "arrow_up",
"rotation": 180
},
"RIGHT... | [
{
"patternId": "3",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId": "arrow_up",
"rotation": 90,
"x": 1,
"y": 3
},
{
"patternId": "3",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId": "N",
"rotation": 90,
"x": 3,
"y": 3
},
{
"patt... | [
"LEFT",
"BOTTOM",
"RIGHT",
"BACK",
"LEFT",
"BOTTOM"
] | [
"LEFT",
"BOTTOM",
"RIGHT",
"BACK"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "3",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "triangle",
"rotation": 0
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "3",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "triangle",
"rotation": 0
},
"LEFT": {
"patternId": "arrow_up",
"rotation": 270
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C210 |
C211 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> W -> W -> W -> N -> S
The puzzl... | standard_cross | [
"S",
"W",
"W",
"W",
"N",
"S"
] | [
{
"patternId": "8",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "U",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "1",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C211_path_sequence.png"
} | {
"level_id": 211,
"name": "Reconstruct 211",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-211.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "diamond",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "8",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "U",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
... | [
"diamond",
"8",
"U",
"1",
"U",
"6"
] | 4 | 1 | 6 | 4 | {
"TOP": {
"patternId": "diamond",
"rotation": 90
},
"BOTTOM": {
"patternId": "6",
"rotation": 180
},
"FRONT": {
"patternId": "8",
"rotation": 0
},
"BACK": {
"patternId": "1",
"rotation": 0
},
"LEFT": {
"patternId": "U",
"rotation": 180
},
"RIGHT": {
"pa... | [
{
"patternId": "6",
"rotation": 180,
"x": 4,
"y": 1
},
{
"patternId": "8",
"rotation": 0,
"x": 4,
"y": 2
},
{
"patternId": "U",
"rotation": 180,
"x": 3,
"y": 2
},
{
"patternId": "1",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "... | [
"FRONT",
"LEFT",
"BACK",
"RIGHT",
"BOTTOM",
"RIGHT"
] | [
"FRONT",
"LEFT",
"BACK",
"RIGHT",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "6",
"rotation": 180
},
"FRONT": {
"patternId": "8",
"rotation": 0
},
"BACK": {
"patternId": "1",
"rotation": 180
},
"LEFT": {
"patternId": "U",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "6",
"rotation": 180
},
"FRONT": {
"patternId": "8",
"rotation": 0
},
"BACK": {
"patternId": "1",
"rotation": 180
},
"LEFT": {
"patternId": "U",
"rotation": 270
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C211 |
C212 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> N -> W -> N -> W
The puzzl... | standard_cross | [
"S",
"S",
"N",
"W",
"N",
"W"
] | [
{
"patternId": "W",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "7",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "W",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C212_path_sequence.png"
} | {
"level_id": 212,
"name": "Reconstruct 212",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-212.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "7",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "W",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "star",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
... | [
"7",
"W",
"star",
"I",
"circle",
"6"
] | 3 | 1 | 5 | 5 | {
"TOP": {
"patternId": "7",
"rotation": 90
},
"BOTTOM": {
"patternId": "6",
"rotation": 270
},
"FRONT": {
"patternId": "W",
"rotation": 90
},
"BACK": {
"patternId": "I",
"rotation": 180
},
"LEFT": {
"patternId": "circle",
"rotation": 270
},
"RIGHT": {
"... | [
{
"patternId": "6",
"rotation": 270,
"x": 3,
"y": 1
},
{
"patternId": "W",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "7",
"rotation": 90,
"x": 3,
"y": 3
},
{
"patternId": "W",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": ... | [
"FRONT",
"TOP",
"FRONT",
"LEFT",
"BOTTOM",
"BACK"
] | [
"FRONT",
"TOP",
"LEFT",
"BOTTOM",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "7",
"rotation": 90
},
"BOTTOM": {
"patternId": "6",
"rotation": 270
},
"FRONT": {
"patternId": "W",
"rotation": 90
},
"BACK": {
"patternId": "I",
"rotation": 0
},
"LEFT": {
"patternId": "circl... | {
"TOP": {
"patternId": "7",
"rotation": 90
},
"BOTTOM": {
"patternId": "6",
"rotation": 270
},
"FRONT": {
"patternId": "W",
"rotation": 90
},
"BACK": {
"patternId": "I",
"rotation": 0
},
"LEFT": {
"patternId": "circle",
"rotation": 0
},
"RIGHT": {
"patt... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C212 |
C213 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> S -> S -> E -> S -> W -> S
The ... | standard_cross | [
"N",
"S",
"S",
"E",
"S",
"W",
"S"
] | [
{
"patternId": "V",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "B",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "plus",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C213_path_sequence.png"
} | {
"level_id": 213,
"name": "Reconstruct 213",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-213.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "Y",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "plus",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "D",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
... | [
"Y",
"plus",
"D",
"V",
"B",
"B"
] | 1 | 2 | 4 | 7 | {
"TOP": {
"patternId": "Y",
"rotation": 90
},
"BOTTOM": {
"patternId": "B",
"rotation": 180
},
"FRONT": {
"patternId": "plus",
"rotation": 180
},
"BACK": {
"patternId": "V",
"rotation": 90
},
"LEFT": {
"patternId": "B",
"rotation": 270
},
"RIGHT": {
"pa... | [
{
"patternId": "B",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "V",
"rotation": 270,
"x": 1,
"y": 1
},
{
"patternId": "B",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "plus",
"rotation": 180,
"x": 1,
"y": 3
},
{
"patter... | [
"BACK",
"BOTTOM",
"FRONT",
"RIGHT",
"TOP",
"FRONT",
"LEFT"
] | [
"BACK",
"BOTTOM",
"FRONT",
"RIGHT",
"TOP",
"LEFT"
] | 6 | {
"faces": {
"TOP": {
"patternId": "Y",
"rotation": 90
},
"BOTTOM": {
"patternId": "B",
"rotation": 180
},
"FRONT": {
"patternId": "plus",
"rotation": 180
},
"BACK": {
"patternId": "V",
"rotation": 270
},
"LEFT": {
"patternId": ... | {
"TOP": {
"patternId": "Y",
"rotation": 90
},
"BOTTOM": {
"patternId": "B",
"rotation": 180
},
"FRONT": {
"patternId": "plus",
"rotation": 180
},
"BACK": {
"patternId": "V",
"rotation": 270
},
"LEFT": {
"patternId": "B",
"rotation": 0
},
"RIGHT": {
"pat... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C213 |
C214 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> S -> N -> E -> S
The puzzl... | standard_cross | [
"E",
"S",
"S",
"N",
"E",
"S"
] | [
{
"patternId": "D",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "8",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "Y",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C214_path_sequence.png"
} | {
"level_id": 214,
"name": "Reconstruct 214",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-214.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "arrow_up",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "8",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "D",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": fals... | [
"arrow_up",
"8",
"D",
"Q",
"Y",
"V"
] | 1 | 1 | 5 | 5 | {
"TOP": {
"patternId": "arrow_up",
"rotation": 180
},
"BOTTOM": {
"patternId": "V",
"rotation": 270
},
"FRONT": {
"patternId": "8",
"rotation": 90
},
"BACK": {
"patternId": "Q",
"rotation": 180
},
"LEFT": {
"patternId": "Y",
"rotation": 180
},
"RIGHT": {
... | [
{
"patternId": "V",
"rotation": 270,
"x": 1,
"y": 1
},
{
"patternId": "D",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId": "8",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId": "Y",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId... | [
"RIGHT",
"FRONT",
"LEFT",
"FRONT",
"TOP",
"LEFT"
] | [
"RIGHT",
"FRONT",
"LEFT",
"TOP"
] | 4 | {
"faces": {
"TOP": {
"patternId": "arrow_up",
"rotation": 180
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "8",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": ... | {
"TOP": {
"patternId": "arrow_up",
"rotation": 180
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "8",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "Y",
"rotation": 270
},
"RIGHT": {
"p... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C214 |
C215 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> W -> S -> W -> S -> E
The ... | standard_cross | [
"S",
"S",
"W",
"S",
"W",
"S",
"E"
] | [
{
"patternId": "arrow_up",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "triangle",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "P",
"rotation": 90,
"flipHorizontal": false,
"flipVertical":... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C215_path_sequence.png"
} | {
"level_id": 215,
"name": "Reconstruct 215",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-215.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "triangle",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_up",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "L",
"rotation": 90,
"flipHorizontal": false,
"flipVertical... | [
"triangle",
"arrow_up",
"L",
"K",
"P",
"circle"
] | 3 | 1 | 5 | 7 | {
"TOP": {
"patternId": "triangle",
"rotation": 270
},
"BOTTOM": {
"patternId": "circle",
"rotation": 180
},
"FRONT": {
"patternId": "arrow_up",
"rotation": 0
},
"BACK": {
"patternId": "K",
"rotation": 90
},
"LEFT": {
"patternId": "P",
"rotation": 0
},
"RIGH... | [
{
"patternId": "circle",
"rotation": 180,
"x": 3,
"y": 1
},
{
"patternId": "arrow_up",
"rotation": 0,
"x": 3,
"y": 2
},
{
"patternId": "triangle",
"rotation": 270,
"x": 3,
"y": 3
},
{
"patternId": "P",
"rotation": 90,
"x": 2,
"y": 3
},
... | [
"FRONT",
"TOP",
"LEFT",
"BACK",
"BOTTOM",
"RIGHT",
"BACK"
] | [
"FRONT",
"TOP",
"LEFT",
"BACK",
"BOTTOM",
"RIGHT"
] | 6 | {
"faces": {
"TOP": {
"patternId": "triangle",
"rotation": 270
},
"BOTTOM": {
"patternId": "circle",
"rotation": 180
},
"FRONT": {
"patternId": "arrow_up",
"rotation": 0
},
"BACK": {
"patternId": "K",
"rotation": 270
},
"LEFT": {
... | {
"TOP": {
"patternId": "triangle",
"rotation": 270
},
"BOTTOM": {
"patternId": "circle",
"rotation": 180
},
"FRONT": {
"patternId": "arrow_up",
"rotation": 0
},
"BACK": {
"patternId": "K",
"rotation": 270
},
"LEFT": {
"patternId": "P",
"rotation": 90
},
"RI... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C215 |
C216 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> E -> N -> E -> N -> E
The puzzl... | standard_cross | [
"E",
"E",
"N",
"E",
"N",
"E"
] | [
{
"patternId": "5",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "S",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "circle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C216_path_sequence.png"
} | {
"level_id": 216,
"name": "Reconstruct 216",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-216.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "S",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "S",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "5",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
}... | [
"S",
"S",
"5",
"circle",
"Z",
"E"
] | 1 | 3 | 7 | 5 | {
"TOP": {
"patternId": "S",
"rotation": 180
},
"BOTTOM": {
"patternId": "E",
"rotation": 0
},
"FRONT": {
"patternId": "S",
"rotation": 90
},
"BACK": {
"patternId": "circle",
"rotation": 90
},
"LEFT": {
"patternId": "Z",
"rotation": 270
},
"RIGHT": {
"pa... | [
{
"patternId": "E",
"rotation": 0,
"x": 1,
"y": 3
},
{
"patternId": "5",
"rotation": 0,
"x": 2,
"y": 3
},
{
"patternId": "S",
"rotation": 0,
"x": 3,
"y": 3
},
{
"patternId": "circle",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId":... | [
"RIGHT",
"TOP",
"BACK",
"LEFT",
"BOTTOM",
"FRONT"
] | [
"RIGHT",
"TOP",
"BACK",
"LEFT",
"BOTTOM",
"FRONT"
] | 6 | {
"faces": {
"TOP": {
"patternId": "S",
"rotation": 180
},
"BOTTOM": {
"patternId": "E",
"rotation": 0
},
"FRONT": {
"patternId": "S",
"rotation": 90
},
"BACK": {
"patternId": "circle",
"rotation": 270
},
"LEFT": {
"patternId": ... | {
"TOP": {
"patternId": "S",
"rotation": 180
},
"BOTTOM": {
"patternId": "E",
"rotation": 0
},
"FRONT": {
"patternId": "S",
"rotation": 90
},
"BACK": {
"patternId": "circle",
"rotation": 270
},
"LEFT": {
"patternId": "Z",
"rotation": 0
},
"RIGHT": {
"pat... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C216 |
C217 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> W -> E -> S -> W -> W
The ... | standard_cross | [
"E",
"S",
"W",
"E",
"S",
"W",
"W"
] | [
{
"patternId": "square",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "square",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "I",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C217_path_sequence.png"
} | {
"level_id": 217,
"name": "Reconstruct 217",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-217.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "M",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "square",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "square",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": ... | [
"M",
"square",
"square",
"I",
"star",
"I"
] | 2 | 1 | 5 | 5 | {
"TOP": {
"patternId": "M",
"rotation": 0
},
"BOTTOM": {
"patternId": "I",
"rotation": 0
},
"FRONT": {
"patternId": "square",
"rotation": 270
},
"BACK": {
"patternId": "I",
"rotation": 270
},
"LEFT": {
"patternId": "star",
"rotation": 180
},
"RIGHT": {
... | [
{
"patternId": "I",
"rotation": 0,
"x": 2,
"y": 1
},
{
"patternId": "square",
"rotation": 90,
"x": 3,
"y": 1
},
{
"patternId": "square",
"rotation": 0,
"x": 3,
"y": 2
},
{
"patternId": "I",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patte... | [
"RIGHT",
"FRONT",
"BOTTOM",
"FRONT",
"LEFT",
"BOTTOM",
"RIGHT"
] | [
"RIGHT",
"FRONT",
"BOTTOM",
"LEFT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "I",
"rotation": 0
},
"FRONT": {
"patternId": "square",
"rotation": 270
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "st... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "I",
"rotation": 0
},
"FRONT": {
"patternId": "square",
"rotation": 270
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "star",
"rotation": 270
},
"RIGHT": {
"p... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C217 |
C218 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> S -> S -> E -> N -> N
The puzzl... | standard_cross | [
"W",
"S",
"S",
"E",
"N",
"N"
] | [
{
"patternId": "Y",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "Z",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "Z",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C218_path_sequence.png"
} | {
"level_id": 218,
"name": "Reconstruct 218",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-218.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "K",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Z",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Z",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},... | [
"K",
"Z",
"Z",
"K",
"Y",
"G"
] | 2 | 1 | 4 | 5 | {
"TOP": {
"patternId": "K",
"rotation": 270
},
"BOTTOM": {
"patternId": "G",
"rotation": 180
},
"FRONT": {
"patternId": "Z",
"rotation": 180
},
"BACK": {
"patternId": "K",
"rotation": 0
},
"LEFT": {
"patternId": "Y",
"rotation": 180
},
"RIGHT": {
"patte... | [
{
"patternId": "G",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId": "Y",
"rotation": 90,
"x": 1,
"y": 1
},
{
"patternId": "Z",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "Z",
"rotation": 0,
"x": 1,
"y": 3
},
{
"patternId": "... | [
"LEFT",
"FRONT",
"RIGHT",
"BOTTOM",
"FRONT",
"TOP"
] | [
"LEFT",
"FRONT",
"RIGHT",
"BOTTOM",
"TOP"
] | 5 | {
"faces": {
"TOP": {
"patternId": "K",
"rotation": 270
},
"BOTTOM": {
"patternId": "G",
"rotation": 180
},
"FRONT": {
"patternId": "Z",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "Y",... | {
"TOP": {
"patternId": "K",
"rotation": 270
},
"BOTTOM": {
"patternId": "G",
"rotation": 180
},
"FRONT": {
"patternId": "Z",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "Y",
"rotation": 270
},
"RIGHT": {
"patte... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C218 |
C219 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> W -> E -> N -> S -> S
The puzzl... | standard_cross | [
"S",
"W",
"E",
"N",
"S",
"S"
] | [
{
"patternId": "triangle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "D",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "triangle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical"... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C219_path_sequence.png"
} | {
"level_id": 219,
"name": "Reconstruct 219",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-219.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "7",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "triangle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "S",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": fa... | [
"7",
"triangle",
"S",
"W",
"D",
"A"
] | 2 | 1 | 4 | 5 | {
"TOP": {
"patternId": "7",
"rotation": 270
},
"BOTTOM": {
"patternId": "A",
"rotation": 0
},
"FRONT": {
"patternId": "triangle",
"rotation": 90
},
"BACK": {
"patternId": "W",
"rotation": 270
},
"LEFT": {
"patternId": "D",
"rotation": 270
},
"RIGHT": {
... | [
{
"patternId": "A",
"rotation": 0,
"x": 2,
"y": 1
},
{
"patternId": "triangle",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patternId": "D",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "triangle",
"rotation": 90,
"x": 2,
"y": 2
},
{
... | [
"FRONT",
"LEFT",
"FRONT",
"BOTTOM",
"FRONT",
"TOP"
] | [
"FRONT",
"LEFT",
"BOTTOM",
"TOP"
] | 4 | {
"faces": {
"TOP": {
"patternId": "7",
"rotation": 270
},
"BOTTOM": {
"patternId": "A",
"rotation": 0
},
"FRONT": {
"patternId": "triangle",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": ... | {
"TOP": {
"patternId": "7",
"rotation": 270
},
"BOTTOM": {
"patternId": "A",
"rotation": 0
},
"FRONT": {
"patternId": "triangle",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "D",
"rotation": 0
},
"RIGHT": {
"pat... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C219 |
C220 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> S -> S -> E -> N -> W
The puzzl... | standard_cross | [
"N",
"S",
"S",
"E",
"N",
"W"
] | [
{
"patternId": "M",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "G",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "L",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C220_path_sequence.png"
} | {
"level_id": 220,
"name": "Reconstruct 220",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-220.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "E",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "L",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Z",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
... | [
"E",
"L",
"Z",
"M",
"3",
"G"
] | 1 | 2 | 4 | 5 | {
"TOP": {
"patternId": "E",
"rotation": 180
},
"BOTTOM": {
"patternId": "G",
"rotation": 180
},
"FRONT": {
"patternId": "L",
"rotation": 180
},
"BACK": {
"patternId": "M",
"rotation": 90
},
"LEFT": {
"patternId": "3",
"rotation": 0
},
"RIGHT": {
"patter... | [
{
"patternId": "G",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "M",
"rotation": 270,
"x": 1,
"y": 1
},
{
"patternId": "G",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "L",
"rotation": 180,
"x": 1,
"y": 3
},
{
"patternId... | [
"BACK",
"BOTTOM",
"FRONT",
"RIGHT",
"BOTTOM",
"FRONT"
] | [
"BACK",
"BOTTOM",
"FRONT",
"RIGHT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "G",
"rotation": 180
},
"FRONT": {
"patternId": "L",
"rotation": 180
},
"BACK": {
"patternId": "M",
"rotation": 270
},
"LEFT": {
"patternId": "?",... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "G",
"rotation": 180
},
"FRONT": {
"patternId": "L",
"rotation": 180
},
"BACK": {
"patternId": "M",
"rotation": 270
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C220 |
C221 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> N -> N -> E -> N -> N
The puzzl... | standard_cross | [
"W",
"N",
"N",
"E",
"N",
"N"
] | [
{
"patternId": "4",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "triangle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "E",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C221_path_sequence.png"
} | {
"level_id": 221,
"name": "Reconstruct 221",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-221.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "plus",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "square",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "E",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": ... | [
"plus",
"square",
"E",
"triangle",
"4",
"1"
] | 2 | 5 | 4 | 7 | {
"TOP": {
"patternId": "plus",
"rotation": 270
},
"BOTTOM": {
"patternId": "1",
"rotation": 0
},
"FRONT": {
"patternId": "square",
"rotation": 180
},
"BACK": {
"patternId": "triangle",
"rotation": 180
},
"LEFT": {
"patternId": "4",
"rotation": 90
},
"RIGHT"... | [
{
"patternId": "1",
"rotation": 0,
"x": 2,
"y": 5
},
{
"patternId": "4",
"rotation": 0,
"x": 1,
"y": 5
},
{
"patternId": "triangle",
"rotation": 90,
"x": 1,
"y": 4
},
{
"patternId": "E",
"rotation": 270,
"x": 1,
"y": 3
},
{
"pattern... | [
"LEFT",
"BACK",
"RIGHT",
"BOTTOM",
"FRONT",
"TOP"
] | [
"LEFT",
"BACK",
"RIGHT",
"BOTTOM",
"FRONT",
"TOP"
] | 6 | {
"faces": {
"TOP": {
"patternId": "plus",
"rotation": 270
},
"BOTTOM": {
"patternId": "1",
"rotation": 0
},
"FRONT": {
"patternId": "square",
"rotation": 180
},
"BACK": {
"patternId": "triangle",
"rotation": 0
},
"LEFT": {
"pat... | {
"TOP": {
"patternId": "plus",
"rotation": 270
},
"BOTTOM": {
"patternId": "1",
"rotation": 0
},
"FRONT": {
"patternId": "square",
"rotation": 180
},
"BACK": {
"patternId": "triangle",
"rotation": 0
},
"LEFT": {
"patternId": "4",
"rotation": 180
},
"RIGHT":... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C221 |
C222 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> W -> N -> W -> S -> W -> W
The ... | standard_cross | [
"W",
"W",
"N",
"W",
"S",
"W",
"W"
] | [
{
"patternId": "7",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "T",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C222_path_sequence.png"
} | {
"level_id": 222,
"name": "Reconstruct 222",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-222.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "C",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "star",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "H",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
... | [
"C",
"star",
"H",
"T",
"7",
"S"
] | 6 | 2 | 8 | 4 | {
"TOP": {
"patternId": "C",
"rotation": 270
},
"BOTTOM": {
"patternId": "S",
"rotation": 180
},
"FRONT": {
"patternId": "star",
"rotation": 0
},
"BACK": {
"patternId": "T",
"rotation": 270
},
"LEFT": {
"patternId": "7",
"rotation": 180
},
"RIGHT": {
"pa... | [
{
"patternId": "S",
"rotation": 180,
"x": 6,
"y": 2
},
{
"patternId": "7",
"rotation": 90,
"x": 5,
"y": 2
},
{
"patternId": "C",
"rotation": 90,
"x": 4,
"y": 2
},
{
"patternId": "T",
"rotation": 270,
"x": 4,
"y": 1
},
{
"patternId":... | [
"LEFT",
"TOP",
"BACK",
"RIGHT",
"TOP",
"FRONT",
"BOTTOM"
] | [
"LEFT",
"TOP",
"BACK",
"RIGHT",
"FRONT",
"BOTTOM"
] | 6 | {
"faces": {
"TOP": {
"patternId": "C",
"rotation": 270
},
"BOTTOM": {
"patternId": "S",
"rotation": 180
},
"FRONT": {
"patternId": "star",
"rotation": 0
},
"BACK": {
"patternId": "T",
"rotation": 90
},
"LEFT": {
"patternId": "7... | {
"TOP": {
"patternId": "C",
"rotation": 270
},
"BOTTOM": {
"patternId": "S",
"rotation": 180
},
"FRONT": {
"patternId": "star",
"rotation": 0
},
"BACK": {
"patternId": "T",
"rotation": 90
},
"LEFT": {
"patternId": "7",
"rotation": 270
},
"RIGHT": {
"pat... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C222 |
C223 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> E -> N -> E -> W -> S
The puzzl... | standard_cross | [
"E",
"E",
"N",
"E",
"W",
"S"
] | [
{
"patternId": "G",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "I",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C223_path_sequence.png"
} | {
"level_id": 223,
"name": "Reconstruct 223",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-223.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "C",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "I",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "G",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},... | [
"C",
"I",
"G",
"I",
"1",
"Z"
] | 1 | 2 | 6 | 4 | {
"TOP": {
"patternId": "C",
"rotation": 270
},
"BOTTOM": {
"patternId": "Z",
"rotation": 270
},
"FRONT": {
"patternId": "I",
"rotation": 90
},
"BACK": {
"patternId": "I",
"rotation": 270
},
"LEFT": {
"patternId": "1",
"rotation": 270
},
"RIGHT": {
"patt... | [
{
"patternId": "Z",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "G",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "C",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "I",
"rotation": 270,
"x": 3,
"y": 1
},
{
"patternId"... | [
"RIGHT",
"TOP",
"BACK",
"LEFT",
"BACK",
"TOP"
] | [
"RIGHT",
"TOP",
"BACK",
"LEFT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "C",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "I",
"rotation": 90
},
"LEFT": {
"patternId": "1",
... | {
"TOP": {
"patternId": "C",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "I",
"rotation": 90
},
"LEFT": {
"patternId": "1",
"rotation": 0
},
"RIGHT": {
"patternId"... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C223 |
C224 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> E -> S -> E -> E -> W
The puzzl... | standard_cross | [
"N",
"E",
"S",
"E",
"E",
"W"
] | [
{
"patternId": "D",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "4",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "triangle",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C224_path_sequence.png"
} | {
"level_id": 224,
"name": "Reconstruct 224",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-224.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "smile",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "square",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "4",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": f... | [
"smile",
"square",
"4",
"D",
"circle",
"triangle"
] | 1 | 2 | 6 | 4 | {
"TOP": {
"patternId": "smile",
"rotation": 0
},
"BOTTOM": {
"patternId": "triangle",
"rotation": 90
},
"FRONT": {
"patternId": "square",
"rotation": 180
},
"BACK": {
"patternId": "D",
"rotation": 180
},
"LEFT": {
"patternId": "circle",
"rotation": 90
},
"R... | [
{
"patternId": "triangle",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "D",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "4",
"rotation": 90,
"x": 2,
"y": 1
},
{
"patternId": "triangle",
"rotation": 180,
"x": 2,
"y": 2
},
{
... | [
"BACK",
"RIGHT",
"BOTTOM",
"FRONT",
"TOP",
"FRONT"
] | [
"BACK",
"RIGHT",
"BOTTOM",
"FRONT",
"TOP"
] | 5 | {
"faces": {
"TOP": {
"patternId": "smile",
"rotation": 0
},
"BOTTOM": {
"patternId": "triangle",
"rotation": 90
},
"FRONT": {
"patternId": "square",
"rotation": 180
},
"BACK": {
"patternId": "D",
"rotation": 0
},
"LEFT": {
"pat... | {
"TOP": {
"patternId": "smile",
"rotation": 0
},
"BOTTOM": {
"patternId": "triangle",
"rotation": 90
},
"FRONT": {
"patternId": "square",
"rotation": 180
},
"BACK": {
"patternId": "D",
"rotation": 0
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C224 |
C225 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> N -> N -> E -> N -> N
The puzzl... | standard_cross | [
"E",
"N",
"N",
"E",
"N",
"N"
] | [
{
"patternId": "smile",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "H",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "U",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C225_path_sequence.png"
} | {
"level_id": 225,
"name": "Reconstruct 225",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-225.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "Z",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "B",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "smile",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
... | [
"Z",
"B",
"smile",
"H",
"U",
"O"
] | 1 | 5 | 5 | 7 | {
"TOP": {
"patternId": "Z",
"rotation": 90
},
"BOTTOM": {
"patternId": "O",
"rotation": 180
},
"FRONT": {
"patternId": "B",
"rotation": 180
},
"BACK": {
"patternId": "H",
"rotation": 90
},
"LEFT": {
"patternId": "U",
"rotation": 0
},
"RIGHT": {
"pattern... | [
{
"patternId": "O",
"rotation": 180,
"x": 1,
"y": 5
},
{
"patternId": "smile",
"rotation": 180,
"x": 2,
"y": 5
},
{
"patternId": "H",
"rotation": 180,
"x": 2,
"y": 4
},
{
"patternId": "U",
"rotation": 90,
"x": 2,
"y": 3
},
{
"patter... | [
"RIGHT",
"BACK",
"LEFT",
"TOP",
"FRONT",
"BOTTOM"
] | [
"RIGHT",
"BACK",
"LEFT",
"TOP",
"FRONT",
"BOTTOM"
] | 6 | {
"faces": {
"TOP": {
"patternId": "Z",
"rotation": 90
},
"BOTTOM": {
"patternId": "O",
"rotation": 180
},
"FRONT": {
"patternId": "B",
"rotation": 180
},
"BACK": {
"patternId": "H",
"rotation": 270
},
"LEFT": {
"patternId": "U"... | {
"TOP": {
"patternId": "Z",
"rotation": 90
},
"BOTTOM": {
"patternId": "O",
"rotation": 180
},
"FRONT": {
"patternId": "B",
"rotation": 180
},
"BACK": {
"patternId": "H",
"rotation": 270
},
"LEFT": {
"patternId": "U",
"rotation": 90
},
"RIGHT": {
"patte... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C225 |
C226 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> E -> N -> S -> E
The puzzl... | standard_cross | [
"S",
"S",
"E",
"N",
"S",
"E"
] | [
{
"patternId": "6",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "star",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "2",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C226_path_sequence.png"
} | {
"level_id": 226,
"name": "Reconstruct 226",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-226.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "star",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "6",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "2",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
... | [
"star",
"6",
"2",
"arrow_down",
"B",
"3"
] | 1 | 1 | 5 | 5 | {
"TOP": {
"patternId": "star",
"rotation": 90
},
"BOTTOM": {
"patternId": "3",
"rotation": 180
},
"FRONT": {
"patternId": "6",
"rotation": 180
},
"BACK": {
"patternId": "arrow_down",
"rotation": 0
},
"LEFT": {
"patternId": "B",
"rotation": 270
},
"RIGHT": {... | [
{
"patternId": "3",
"rotation": 180,
"x": 1,
"y": 1
},
{
"patternId": "6",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "star",
"rotation": 90,
"x": 1,
"y": 3
},
{
"patternId": "2",
"rotation": 90,
"x": 2,
"y": 3
},
{
"patternI... | [
"FRONT",
"TOP",
"RIGHT",
"FRONT",
"RIGHT",
"BOTTOM"
] | [
"FRONT",
"TOP",
"RIGHT",
"BOTTOM"
] | 4 | {
"faces": {
"TOP": {
"patternId": "star",
"rotation": 90
},
"BOTTOM": {
"patternId": "3",
"rotation": 180
},
"FRONT": {
"patternId": "6",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "?... | {
"TOP": {
"patternId": "star",
"rotation": 90
},
"BOTTOM": {
"patternId": "3",
"rotation": 180
},
"FRONT": {
"patternId": "6",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patte... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C226 |
C227 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> W -> N -> W -> E -> N
The puzzl... | standard_cross | [
"S",
"W",
"N",
"W",
"E",
"N"
] | [
{
"patternId": "2",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C227_path_sequence.png"
} | {
"level_id": 227,
"name": "Reconstruct 227",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-227.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "arrow_up",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "2",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "4",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": fals... | [
"arrow_up",
"2",
"4",
"6",
"C",
"C"
] | 3 | 2 | 5 | 5 | {
"TOP": {
"patternId": "arrow_up",
"rotation": 270
},
"BOTTOM": {
"patternId": "C",
"rotation": 0
},
"FRONT": {
"patternId": "2",
"rotation": 90
},
"BACK": {
"patternId": "6",
"rotation": 0
},
"LEFT": {
"patternId": "C",
"rotation": 180
},
"RIGHT": {
"p... | [
{
"patternId": "C",
"rotation": 0,
"x": 3,
"y": 2
},
{
"patternId": "2",
"rotation": 90,
"x": 3,
"y": 3
},
{
"patternId": "C",
"rotation": 180,
"x": 2,
"y": 3
},
{
"patternId": "C",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patternId": "... | [
"FRONT",
"LEFT",
"BOTTOM",
"BACK",
"BOTTOM",
"RIGHT"
] | [
"FRONT",
"LEFT",
"BOTTOM",
"BACK",
"RIGHT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "C",
"rotation": 0
},
"FRONT": {
"patternId": "2",
"rotation": 90
},
"BACK": {
"patternId": "6",
"rotation": 180
},
"LEFT": {
"patternId": "C",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "C",
"rotation": 0
},
"FRONT": {
"patternId": "2",
"rotation": 90
},
"BACK": {
"patternId": "6",
"rotation": 180
},
"LEFT": {
"patternId": "C",
"rotation": 270
},
"RIGHT": {
"patternI... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C227 |
C228 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> W -> N -> W -> N -> W
The puzzl... | standard_cross | [
"W",
"W",
"N",
"W",
"N",
"W"
] | [
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "star",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "2",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
}... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C228_path_sequence.png"
} | {
"level_id": 228,
"name": "Reconstruct 228",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-228.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "star",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Q",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "triangle",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": ... | [
"star",
"Q",
"triangle",
"2",
"3",
"8"
] | 5 | 3 | 7 | 5 | {
"TOP": {
"patternId": "star",
"rotation": 0
},
"BOTTOM": {
"patternId": "8",
"rotation": 180
},
"FRONT": {
"patternId": "Q",
"rotation": 270
},
"BACK": {
"patternId": "2",
"rotation": 90
},
"LEFT": {
"patternId": "3",
"rotation": 0
},
"RIGHT": {
"patte... | [
{
"patternId": "8",
"rotation": 180,
"x": 5,
"y": 3
},
{
"patternId": "3",
"rotation": 270,
"x": 4,
"y": 3
},
{
"patternId": "star",
"rotation": 180,
"x": 3,
"y": 3
},
{
"patternId": "2",
"rotation": 90,
"x": 3,
"y": 2
},
{
"pattern... | [
"LEFT",
"TOP",
"BACK",
"RIGHT",
"BOTTOM",
"FRONT"
] | [
"LEFT",
"TOP",
"BACK",
"RIGHT",
"BOTTOM",
"FRONT"
] | 6 | {
"faces": {
"TOP": {
"patternId": "star",
"rotation": 0
},
"BOTTOM": {
"patternId": "8",
"rotation": 180
},
"FRONT": {
"patternId": "Q",
"rotation": 270
},
"BACK": {
"patternId": "2",
"rotation": 270
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "star",
"rotation": 0
},
"BOTTOM": {
"patternId": "8",
"rotation": 180
},
"FRONT": {
"patternId": "Q",
"rotation": 270
},
"BACK": {
"patternId": "2",
"rotation": 270
},
"LEFT": {
"patternId": "3",
"rotation": 90
},
"RIGHT": {
"pat... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C228 |
C229 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> W -> N -> E -> N -> E
The puzzl... | standard_cross | [
"E",
"W",
"N",
"E",
"N",
"E"
] | [
{
"patternId": "triangle",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "R",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "I",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C229_path_sequence.png"
} | {
"level_id": 229,
"name": "Reconstruct 229",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-229.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "Q",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "9",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "triangle",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": fal... | [
"Q",
"9",
"triangle",
"I",
"square",
"R"
] | 1 | 3 | 5 | 5 | {
"TOP": {
"patternId": "Q",
"rotation": 270
},
"BOTTOM": {
"patternId": "R",
"rotation": 270
},
"FRONT": {
"patternId": "9",
"rotation": 0
},
"BACK": {
"patternId": "I",
"rotation": 180
},
"LEFT": {
"patternId": "square",
"rotation": 180
},
"RIGHT": {
"... | [
{
"patternId": "R",
"rotation": 270,
"x": 1,
"y": 3
},
{
"patternId": "triangle",
"rotation": 0,
"x": 2,
"y": 3
},
{
"patternId": "R",
"rotation": 270,
"x": 1,
"y": 3
},
{
"patternId": "I",
"rotation": 0,
"x": 1,
"y": 2
},
{
"patter... | [
"RIGHT",
"BOTTOM",
"BACK",
"RIGHT",
"TOP",
"FRONT"
] | [
"RIGHT",
"BOTTOM",
"BACK",
"TOP",
"FRONT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "Q",
"rotation": 270
},
"BOTTOM": {
"patternId": "R",
"rotation": 270
},
"FRONT": {
"patternId": "9",
"rotation": 0
},
"BACK": {
"patternId": "I",
"rotation": 0
},
"LEFT": {
"patternId": "?",
... | {
"TOP": {
"patternId": "Q",
"rotation": 270
},
"BOTTOM": {
"patternId": "R",
"rotation": 270
},
"FRONT": {
"patternId": "9",
"rotation": 0
},
"BACK": {
"patternId": "I",
"rotation": 0
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patternId... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C229 |
C230 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> E -> W -> W -> W -> S
The puzzl... | standard_cross | [
"N",
"E",
"W",
"W",
"W",
"S"
] | [
{
"patternId": "7",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "2",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "7",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C230_path_sequence.png"
} | {
"level_id": 230,
"name": "Reconstruct 230",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-230.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "P",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "J",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "2",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
... | [
"P",
"J",
"2",
"7",
"W",
"star"
] | 3 | 2 | 6 | 4 | {
"TOP": {
"patternId": "P",
"rotation": 270
},
"BOTTOM": {
"patternId": "star",
"rotation": 90
},
"FRONT": {
"patternId": "J",
"rotation": 270
},
"BACK": {
"patternId": "7",
"rotation": 0
},
"LEFT": {
"patternId": "W",
"rotation": 90
},
"RIGHT": {
"patt... | [
{
"patternId": "star",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "7",
"rotation": 180,
"x": 3,
"y": 1
},
{
"patternId": "2",
"rotation": 180,
"x": 4,
"y": 1
},
{
"patternId": "7",
"rotation": 180,
"x": 3,
"y": 1
},
{
"pattern... | [
"BACK",
"RIGHT",
"BACK",
"LEFT",
"FRONT",
"BOTTOM"
] | [
"BACK",
"RIGHT",
"LEFT",
"FRONT",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "star",
"rotation": 90
},
"FRONT": {
"patternId": "J",
"rotation": 270
},
"BACK": {
"patternId": "7",
"rotation": 180
},
"LEFT": {
"patternId": "W... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "star",
"rotation": 90
},
"FRONT": {
"patternId": "J",
"rotation": 270
},
"BACK": {
"patternId": "7",
"rotation": 180
},
"LEFT": {
"patternId": "W",
"rotation": 180
},
"RIGHT": {
"pat... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C230 |
C231 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> N -> S -> S -> E -> S -> N
The ... | standard_cross | [
"N",
"N",
"S",
"S",
"E",
"S",
"N"
] | [
{
"patternId": "L",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "1",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "L",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C231_path_sequence.png"
} | {
"level_id": 231,
"name": "Reconstruct 231",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-231.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "1",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "heart",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "O",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
... | [
"1",
"heart",
"O",
"L",
"F",
"D"
] | 1 | 3 | 4 | 6 | {
"TOP": {
"patternId": "1",
"rotation": 0
},
"BOTTOM": {
"patternId": "D",
"rotation": 180
},
"FRONT": {
"patternId": "heart",
"rotation": 270
},
"BACK": {
"patternId": "L",
"rotation": 270
},
"LEFT": {
"patternId": "F",
"rotation": 180
},
"RIGHT": {
"p... | [
{
"patternId": "D",
"rotation": 180,
"x": 1,
"y": 3
},
{
"patternId": "L",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "1",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "L",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "... | [
"BACK",
"TOP",
"BACK",
"BOTTOM",
"RIGHT",
"FRONT",
"RIGHT"
] | [
"BACK",
"TOP",
"BOTTOM",
"RIGHT",
"FRONT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "1",
"rotation": 0
},
"BOTTOM": {
"patternId": "D",
"rotation": 180
},
"FRONT": {
"patternId": "heart",
"rotation": 270
},
"BACK": {
"patternId": "L",
"rotation": 90
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "1",
"rotation": 0
},
"BOTTOM": {
"patternId": "D",
"rotation": 180
},
"FRONT": {
"patternId": "heart",
"rotation": 270
},
"BACK": {
"patternId": "L",
"rotation": 90
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patt... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C231 |
C232 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> E -> E -> S -> E -> N -> N
The ... | standard_cross | [
"S",
"E",
"E",
"S",
"E",
"N",
"N"
] | [
{
"patternId": "4",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "plus",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "heart",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C232_path_sequence.png"
} | {
"level_id": 232,
"name": "Reconstruct 232",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-232.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "triangle",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "4",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "plus",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": ... | [
"triangle",
"4",
"plus",
"heart",
"F",
"heart"
] | 1 | 1 | 6 | 5 | {
"TOP": {
"patternId": "triangle",
"rotation": 270
},
"BOTTOM": {
"patternId": "heart",
"rotation": 0
},
"FRONT": {
"patternId": "4",
"rotation": 0
},
"BACK": {
"patternId": "heart",
"rotation": 90
},
"LEFT": {
"patternId": "F",
"rotation": 180
},
"RIGHT": ... | [
{
"patternId": "heart",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "4",
"rotation": 0,
"x": 1,
"y": 2
},
{
"patternId": "plus",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "heart",
"rotation": 90,
"x": 3,
"y": 2
},
{
"pat... | [
"FRONT",
"RIGHT",
"BACK",
"TOP",
"LEFT",
"BACK",
"RIGHT"
] | [
"FRONT",
"RIGHT",
"BACK",
"TOP",
"LEFT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "triangle",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "4",
"rotation": 0
},
"BACK": {
"patternId": "heart",
"rotation": 270
},
"LEFT": {
"pattern... | {
"TOP": {
"patternId": "triangle",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "4",
"rotation": 0
},
"BACK": {
"patternId": "heart",
"rotation": 270
},
"LEFT": {
"patternId": "F",
"rotation": 270
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C232 |
C233 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> E -> N -> W -> N -> W -> W
The ... | standard_cross | [
"N",
"E",
"N",
"W",
"N",
"W",
"W"
] | [
{
"patternId": "Q",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "P",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "square",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C233_path_sequence.png"
} | {
"level_id": 233,
"name": "Reconstruct 233",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-233.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "square",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "E",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "P",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
... | [
"square",
"E",
"P",
"Q",
"star",
"H"
] | 3 | 4 | 6 | 6 | {
"TOP": {
"patternId": "square",
"rotation": 180
},
"BOTTOM": {
"patternId": "H",
"rotation": 270
},
"FRONT": {
"patternId": "E",
"rotation": 0
},
"BACK": {
"patternId": "Q",
"rotation": 270
},
"LEFT": {
"patternId": "star",
"rotation": 180
},
"RIGHT": {
... | [
{
"patternId": "H",
"rotation": 270,
"x": 3,
"y": 4
},
{
"patternId": "Q",
"rotation": 90,
"x": 3,
"y": 3
},
{
"patternId": "P",
"rotation": 0,
"x": 4,
"y": 3
},
{
"patternId": "square",
"rotation": 90,
"x": 4,
"y": 2
},
{
"patternI... | [
"BACK",
"RIGHT",
"TOP",
"BACK",
"LEFT",
"BOTTOM",
"RIGHT"
] | [
"BACK",
"RIGHT",
"TOP",
"LEFT",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "square",
"rotation": 180
},
"BOTTOM": {
"patternId": "H",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "Q",
"rotation": 90
},
"LEFT": {
"patternId": ... | {
"TOP": {
"patternId": "square",
"rotation": 180
},
"BOTTOM": {
"patternId": "H",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "Q",
"rotation": 90
},
"LEFT": {
"patternId": "star",
"rotation": 270
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C233 |
C234 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> E -> S -> W -> W -> S
The puzzl... | standard_cross | [
"S",
"E",
"S",
"W",
"W",
"S"
] | [
{
"patternId": "T",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "1",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "O",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C234_path_sequence.png"
} | {
"level_id": 234,
"name": "Reconstruct 234",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-234.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "O",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "T",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "1",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
... | [
"O",
"T",
"1",
"circle",
"J",
"V"
] | 2 | 1 | 5 | 6 | {
"TOP": {
"patternId": "O",
"rotation": 270
},
"BOTTOM": {
"patternId": "V",
"rotation": 90
},
"FRONT": {
"patternId": "T",
"rotation": 180
},
"BACK": {
"patternId": "circle",
"rotation": 90
},
"LEFT": {
"patternId": "J",
"rotation": 0
},
"RIGHT": {
"pa... | [
{
"patternId": "V",
"rotation": 90,
"x": 2,
"y": 1
},
{
"patternId": "T",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId": "1",
"rotation": 270,
"x": 3,
"y": 2
},
{
"patternId": "O",
"rotation": 0,
"x": 3,
"y": 3
},
{
"patternId": ... | [
"FRONT",
"RIGHT",
"TOP",
"FRONT",
"BOTTOM",
"LEFT"
] | [
"FRONT",
"RIGHT",
"TOP",
"BOTTOM",
"LEFT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "O",
"rotation": 270
},
"BOTTOM": {
"patternId": "V",
"rotation": 90
},
"FRONT": {
"patternId": "T",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "J",
... | {
"TOP": {
"patternId": "O",
"rotation": 270
},
"BOTTOM": {
"patternId": "V",
"rotation": 90
},
"FRONT": {
"patternId": "T",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "J",
"rotation": 90
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C234 |
C235 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> E -> N -> N -> E -> W -> E
The ... | standard_cross | [
"S",
"E",
"N",
"N",
"E",
"W",
"E"
] | [
{
"patternId": "E",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "square",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "6",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C235_path_sequence.png"
} | {
"level_id": 235,
"name": "Reconstruct 235",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-235.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "G",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "E",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "square",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
... | [
"G",
"E",
"square",
"square",
"K",
"6"
] | 1 | 2 | 5 | 5 | {
"TOP": {
"patternId": "G",
"rotation": 270
},
"BOTTOM": {
"patternId": "6",
"rotation": 180
},
"FRONT": {
"patternId": "E",
"rotation": 0
},
"BACK": {
"patternId": "square",
"rotation": 0
},
"LEFT": {
"patternId": "K",
"rotation": 180
},
"RIGHT": {
"pa... | [
{
"patternId": "6",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "E",
"rotation": 0,
"x": 1,
"y": 3
},
{
"patternId": "square",
"rotation": 90,
"x": 2,
"y": 3
},
{
"patternId": "6",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patternI... | [
"FRONT",
"RIGHT",
"BOTTOM",
"LEFT",
"BACK",
"LEFT",
"BACK"
] | [
"FRONT",
"RIGHT",
"BOTTOM",
"LEFT",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "6",
"rotation": 180
},
"FRONT": {
"patternId": "E",
"rotation": 0
},
"BACK": {
"patternId": "square",
"rotation": 180
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "6",
"rotation": 180
},
"FRONT": {
"patternId": "E",
"rotation": 0
},
"BACK": {
"patternId": "square",
"rotation": 180
},
"LEFT": {
"patternId": "K",
"rotation": 270
},
"RIGHT": {
"pa... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C235 |
C236 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> N -> N -> E -> N -> S -> W
The ... | standard_cross | [
"E",
"N",
"N",
"E",
"N",
"S",
"W"
] | [
{
"patternId": "S",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "J",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "U",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C236_path_sequence.png"
} | {
"level_id": 236,
"name": "Reconstruct 236",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-236.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "O",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "5",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "S",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
}... | [
"O",
"5",
"S",
"J",
"U",
"1"
] | 1 | 4 | 5 | 6 | {
"TOP": {
"patternId": "O",
"rotation": 90
},
"BOTTOM": {
"patternId": "1",
"rotation": 0
},
"FRONT": {
"patternId": "5",
"rotation": 270
},
"BACK": {
"patternId": "J",
"rotation": 180
},
"LEFT": {
"patternId": "U",
"rotation": 180
},
"RIGHT": {
"patter... | [
{
"patternId": "1",
"rotation": 0,
"x": 1,
"y": 4
},
{
"patternId": "S",
"rotation": 0,
"x": 2,
"y": 4
},
{
"patternId": "J",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId": "U",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "... | [
"RIGHT",
"BACK",
"LEFT",
"TOP",
"FRONT",
"TOP",
"LEFT"
] | [
"RIGHT",
"BACK",
"LEFT",
"TOP",
"FRONT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "O",
"rotation": 90
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "5",
"rotation": 270
},
"BACK": {
"patternId": "J",
"rotation": 0
},
"LEFT": {
"patternId": "U",
... | {
"TOP": {
"patternId": "O",
"rotation": 90
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "5",
"rotation": 270
},
"BACK": {
"patternId": "J",
"rotation": 0
},
"LEFT": {
"patternId": "U",
"rotation": 270
},
"RIGHT": {
"patternI... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C236 |
C237 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> S -> E -> N -> E -> W
The ... | standard_cross | [
"S",
"S",
"S",
"E",
"N",
"E",
"W"
] | [
{
"patternId": "2",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "2",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "N",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C237_path_sequence.png"
} | {
"level_id": 237,
"name": "Reconstruct 237",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-237.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "2",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "2",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "6",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"2",
"2",
"6",
"N",
"L",
"W"
] | 1 | 1 | 5 | 6 | {
"TOP": {
"patternId": "2",
"rotation": 270
},
"BOTTOM": {
"patternId": "W",
"rotation": 90
},
"FRONT": {
"patternId": "2",
"rotation": 0
},
"BACK": {
"patternId": "N",
"rotation": 0
},
"LEFT": {
"patternId": "L",
"rotation": 90
},
"RIGHT": {
"patternId... | [
{
"patternId": "W",
"rotation": 90,
"x": 1,
"y": 1
},
{
"patternId": "2",
"rotation": 0,
"x": 1,
"y": 2
},
{
"patternId": "2",
"rotation": 270,
"x": 1,
"y": 3
},
{
"patternId": "N",
"rotation": 180,
"x": 1,
"y": 4
},
{
"patternId": ... | [
"FRONT",
"TOP",
"BACK",
"RIGHT",
"TOP",
"FRONT",
"TOP"
] | [
"FRONT",
"TOP",
"BACK",
"RIGHT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "2",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "2",
"rotation": 0
},
"BACK": {
"patternId": "N",
"rotation": 180
},
"LEFT": {
"patternId": "?",
... | {
"TOP": {
"patternId": "2",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "2",
"rotation": 0
},
"BACK": {
"patternId": "N",
"rotation": 180
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patternId... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C237 |
C238 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> E -> E -> E -> S -> N
The puzzl... | standard_cross | [
"N",
"E",
"E",
"E",
"S",
"N"
] | [
{
"patternId": "V",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "triangle",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "N",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": tru... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C238_path_sequence.png"
} | {
"level_id": 238,
"name": "Reconstruct 238",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-238.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "J",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "N",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "triangle",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": fals... | [
"J",
"N",
"triangle",
"V",
"U",
"M"
] | 1 | 2 | 6 | 4 | {
"TOP": {
"patternId": "J",
"rotation": 180
},
"BOTTOM": {
"patternId": "M",
"rotation": 0
},
"FRONT": {
"patternId": "N",
"rotation": 90
},
"BACK": {
"patternId": "V",
"rotation": 0
},
"LEFT": {
"patternId": "U",
"rotation": 90
},
"RIGHT": {
"patternId... | [
{
"patternId": "M",
"rotation": 0,
"x": 1,
"y": 2
},
{
"patternId": "V",
"rotation": 180,
"x": 1,
"y": 1
},
{
"patternId": "triangle",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": "N",
"rotation": 270,
"x": 3,
"y": 1
},
{
"patt... | [
"BACK",
"RIGHT",
"FRONT",
"LEFT",
"BOTTOM",
"LEFT"
] | [
"BACK",
"RIGHT",
"FRONT",
"LEFT",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "M",
"rotation": 0
},
"FRONT": {
"patternId": "N",
"rotation": 90
},
"BACK": {
"patternId": "V",
"rotation": 180
},
"LEFT": {
"patternId": "U",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "M",
"rotation": 0
},
"FRONT": {
"patternId": "N",
"rotation": 90
},
"BACK": {
"patternId": "V",
"rotation": 180
},
"LEFT": {
"patternId": "U",
"rotation": 180
},
"RIGHT": {
"patternI... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C238 |
C239 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> E -> E -> N -> W -> S
The puzzl... | standard_cross | [
"S",
"E",
"E",
"N",
"W",
"S"
] | [
{
"patternId": "B",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "5",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C239_path_sequence.png"
} | {
"level_id": 239,
"name": "Reconstruct 239",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-239.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "E",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "B",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "5",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
... | [
"E",
"B",
"5",
"C",
"9",
"Q"
] | 1 | 1 | 5 | 4 | {
"TOP": {
"patternId": "E",
"rotation": 270
},
"BOTTOM": {
"patternId": "Q",
"rotation": 90
},
"FRONT": {
"patternId": "B",
"rotation": 180
},
"BACK": {
"patternId": "C",
"rotation": 270
},
"LEFT": {
"patternId": "9",
"rotation": 90
},
"RIGHT": {
"patte... | [
{
"patternId": "Q",
"rotation": 90,
"x": 1,
"y": 1
},
{
"patternId": "B",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "5",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "C",
"rotation": 270,
"x": 3,
"y": 2
},
{
"patternId": ... | [
"FRONT",
"RIGHT",
"BACK",
"BOTTOM",
"RIGHT",
"BACK"
] | [
"FRONT",
"RIGHT",
"BACK",
"BOTTOM"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "Q",
"rotation": 90
},
"FRONT": {
"patternId": "B",
"rotation": 180
},
"BACK": {
"patternId": "C",
"rotation": 90
},
"LEFT": {
"patternId": "?",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "Q",
"rotation": 90
},
"FRONT": {
"patternId": "B",
"rotation": 180
},
"BACK": {
"patternId": "C",
"rotation": 90
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patternId... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C239 |
C240 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> S -> E -> E -> S -> W
The puzzl... | standard_cross | [
"N",
"S",
"E",
"E",
"S",
"W"
] | [
{
"patternId": "arrow_left",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "P",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_right",
"rotation": 270,
"flipHorizontal": false,
"flipVe... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C240_path_sequence.png"
} | {
"level_id": 240,
"name": "Reconstruct 240",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-240.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "H",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Y",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_right",
"rotation": 90,
"flipHorizontal": false,
"flipVertical":... | [
"H",
"Y",
"arrow_right",
"arrow_left",
"L",
"P"
] | 1 | 2 | 5 | 5 | {
"TOP": {
"patternId": "H",
"rotation": 270
},
"BOTTOM": {
"patternId": "P",
"rotation": 270
},
"FRONT": {
"patternId": "Y",
"rotation": 270
},
"BACK": {
"patternId": "arrow_left",
"rotation": 90
},
"LEFT": {
"patternId": "L",
"rotation": 0
},
"RIGHT": {
... | [
{
"patternId": "P",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "arrow_left",
"rotation": 270,
"x": 1,
"y": 1
},
{
"patternId": "P",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "arrow_right",
"rotation": 270,
"x": 2,
"y": 2
},... | [
"BACK",
"BOTTOM",
"RIGHT",
"TOP",
"FRONT",
"RIGHT"
] | [
"BACK",
"BOTTOM",
"RIGHT",
"TOP",
"FRONT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "H",
"rotation": 270
},
"BOTTOM": {
"patternId": "P",
"rotation": 270
},
"FRONT": {
"patternId": "Y",
"rotation": 270
},
"BACK": {
"patternId": "arrow_left",
"rotation": 270
},
"LEFT": {
"patte... | {
"TOP": {
"patternId": "H",
"rotation": 270
},
"BOTTOM": {
"patternId": "P",
"rotation": 270
},
"FRONT": {
"patternId": "Y",
"rotation": 270
},
"BACK": {
"patternId": "arrow_left",
"rotation": 270
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C240 |
C241 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> W -> W -> N -> W -> S -> N
The ... | standard_cross | [
"N",
"W",
"W",
"N",
"W",
"S",
"N"
] | [
{
"patternId": "J",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "G",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C241_path_sequence.png"
} | {
"level_id": 241,
"name": "Reconstruct 241",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-241.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "F",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "G",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "E",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
}... | [
"F",
"G",
"E",
"J",
"C",
"3"
] | 4 | 3 | 6 | 5 | {
"TOP": {
"patternId": "F",
"rotation": 270
},
"BOTTOM": {
"patternId": "3",
"rotation": 270
},
"FRONT": {
"patternId": "G",
"rotation": 270
},
"BACK": {
"patternId": "J",
"rotation": 0
},
"LEFT": {
"patternId": "C",
"rotation": 270
},
"RIGHT": {
"patte... | [
{
"patternId": "3",
"rotation": 270,
"x": 4,
"y": 3
},
{
"patternId": "J",
"rotation": 180,
"x": 4,
"y": 2
},
{
"patternId": "C",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "G",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patternId":... | [
"BACK",
"LEFT",
"FRONT",
"TOP",
"RIGHT",
"FRONT",
"RIGHT"
] | [
"BACK",
"LEFT",
"FRONT",
"TOP",
"RIGHT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "F",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "G",
"rotation": 270
},
"BACK": {
"patternId": "J",
"rotation": 180
},
"LEFT": {
"patternId": "C",... | {
"TOP": {
"patternId": "F",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "G",
"rotation": 270
},
"BACK": {
"patternId": "J",
"rotation": 180
},
"LEFT": {
"patternId": "C",
"rotation": 0
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C241 |
C242 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> E -> E -> N -> N -> N
The puzzl... | standard_cross | [
"W",
"E",
"E",
"N",
"N",
"N"
] | [
{
"patternId": "E",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "2",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "E",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C242_path_sequence.png"
} | {
"level_id": 242,
"name": "Reconstruct 242",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-242.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "star",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "J",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "E",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
... | [
"star",
"J",
"E",
"Z",
"E",
"2"
] | 2 | 4 | 5 | 6 | {
"TOP": {
"patternId": "star",
"rotation": 90
},
"BOTTOM": {
"patternId": "2",
"rotation": 180
},
"FRONT": {
"patternId": "J",
"rotation": 270
},
"BACK": {
"patternId": "Z",
"rotation": 270
},
"LEFT": {
"patternId": "E",
"rotation": 90
},
"RIGHT": {
"pa... | [
{
"patternId": "2",
"rotation": 180,
"x": 2,
"y": 4
},
{
"patternId": "E",
"rotation": 0,
"x": 1,
"y": 4
},
{
"patternId": "2",
"rotation": 180,
"x": 2,
"y": 4
},
{
"patternId": "E",
"rotation": 270,
"x": 3,
"y": 4
},
{
"patternId":... | [
"LEFT",
"BOTTOM",
"RIGHT",
"BACK",
"LEFT",
"FRONT"
] | [
"LEFT",
"BOTTOM",
"RIGHT",
"BACK",
"FRONT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "2",
"rotation": 180
},
"FRONT": {
"patternId": "J",
"rotation": 270
},
"BACK": {
"patternId": "Z",
"rotation": 90
},
"LEFT": {
"patternId": "E",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "2",
"rotation": 180
},
"FRONT": {
"patternId": "J",
"rotation": 270
},
"BACK": {
"patternId": "Z",
"rotation": 90
},
"LEFT": {
"patternId": "E",
"rotation": 180
},
"RIGHT": {
"patter... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C242 |
C243 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> W -> S -> W -> N -> W
The puzzl... | standard_cross | [
"W",
"W",
"S",
"W",
"N",
"W"
] | [
{
"patternId": "arrow_down",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "B",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "O",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": tru... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C243_path_sequence.png"
} | {
"level_id": 243,
"name": "Reconstruct 243",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-243.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "B",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "O",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "5",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
}... | [
"B",
"O",
"5",
"8",
"arrow_down",
"circle"
] | 5 | 1 | 7 | 4 | {
"TOP": {
"patternId": "B",
"rotation": 270
},
"BOTTOM": {
"patternId": "circle",
"rotation": 0
},
"FRONT": {
"patternId": "O",
"rotation": 90
},
"BACK": {
"patternId": "8",
"rotation": 270
},
"LEFT": {
"patternId": "arrow_down",
"rotation": 180
},
"RIGHT":... | [
{
"patternId": "circle",
"rotation": 0,
"x": 5,
"y": 1
},
{
"patternId": "arrow_down",
"rotation": 90,
"x": 4,
"y": 1
},
{
"patternId": "B",
"rotation": 90,
"x": 3,
"y": 1
},
{
"patternId": "O",
"rotation": 270,
"x": 3,
"y": 2
},
{
... | [
"LEFT",
"TOP",
"FRONT",
"RIGHT",
"TOP",
"BACK"
] | [
"LEFT",
"TOP",
"FRONT",
"RIGHT",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "B",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "O",
"rotation": 90
},
"BACK": {
"patternId": "8",
"rotation": 90
},
"LEFT": {
"patternId": "arrow... | {
"TOP": {
"patternId": "B",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "O",
"rotation": 90
},
"BACK": {
"patternId": "8",
"rotation": 90
},
"LEFT": {
"patternId": "arrow_down",
"rotation": 270
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C243 |
C244 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> N -> W -> N -> N -> E
The puzzl... | standard_cross | [
"E",
"N",
"W",
"N",
"N",
"E"
] | [
{
"patternId": "B",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "X",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "square",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C244_path_sequence.png"
} | {
"level_id": 244,
"name": "Reconstruct 244",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-244.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "L",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "circle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "B",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
... | [
"L",
"circle",
"B",
"X",
"X",
"square"
] | 1 | 4 | 4 | 6 | {
"TOP": {
"patternId": "L",
"rotation": 90
},
"BOTTOM": {
"patternId": "square",
"rotation": 90
},
"FRONT": {
"patternId": "circle",
"rotation": 90
},
"BACK": {
"patternId": "X",
"rotation": 180
},
"LEFT": {
"patternId": "X",
"rotation": 270
},
"RIGHT": {
... | [
{
"patternId": "square",
"rotation": 90,
"x": 1,
"y": 4
},
{
"patternId": "B",
"rotation": 180,
"x": 2,
"y": 4
},
{
"patternId": "X",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId": "square",
"rotation": 0,
"x": 1,
"y": 3
},
{
"pa... | [
"RIGHT",
"BACK",
"BOTTOM",
"LEFT",
"TOP",
"BACK"
] | [
"RIGHT",
"BACK",
"BOTTOM",
"LEFT",
"TOP"
] | 5 | {
"faces": {
"TOP": {
"patternId": "L",
"rotation": 90
},
"BOTTOM": {
"patternId": "square",
"rotation": 90
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "X",
"rotation": 0
},
"LEFT": {
"patternId": "X"... | {
"TOP": {
"patternId": "L",
"rotation": 90
},
"BOTTOM": {
"patternId": "square",
"rotation": 90
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "X",
"rotation": 0
},
"LEFT": {
"patternId": "X",
"rotation": 0
},
"RIGHT": {
"patter... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C244 |
C245 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> E -> N -> N -> E
The puzzl... | standard_cross | [
"E",
"S",
"E",
"N",
"N",
"E"
] | [
{
"patternId": "K",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "I",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "3",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C245_path_sequence.png"
} | {
"level_id": 245,
"name": "Reconstruct 245",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-245.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "I",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "K",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
}... | [
"3",
"I",
"K",
"D",
"B",
"plus"
] | 1 | 2 | 6 | 5 | {
"TOP": {
"patternId": "3",
"rotation": 270
},
"BOTTOM": {
"patternId": "plus",
"rotation": 90
},
"FRONT": {
"patternId": "I",
"rotation": 270
},
"BACK": {
"patternId": "D",
"rotation": 180
},
"LEFT": {
"patternId": "B",
"rotation": 270
},
"RIGHT": {
"p... | [
{
"patternId": "plus",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "K",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "I",
"rotation": 0,
"x": 2,
"y": 3
},
{
"patternId": "3",
"rotation": 0,
"x": 3,
"y": 3
},
{
"patternId":... | [
"RIGHT",
"FRONT",
"TOP",
"RIGHT",
"BOTTOM",
"BACK"
] | [
"RIGHT",
"FRONT",
"TOP",
"BOTTOM",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "3",
"rotation": 270
},
"BOTTOM": {
"patternId": "plus",
"rotation": 90
},
"FRONT": {
"patternId": "I",
"rotation": 270
},
"BACK": {
"patternId": "D",
"rotation": 0
},
"LEFT": {
"patternId": "?... | {
"TOP": {
"patternId": "3",
"rotation": 270
},
"BOTTOM": {
"patternId": "plus",
"rotation": 90
},
"FRONT": {
"patternId": "I",
"rotation": 270
},
"BACK": {
"patternId": "D",
"rotation": 0
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patte... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C245 |
C246 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> W -> W -> E -> N -> N
The ... | standard_cross | [
"S",
"S",
"W",
"W",
"E",
"N",
"N"
] | [
{
"patternId": "heart",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "M",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "4",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C246_path_sequence.png"
} | {
"level_id": 246,
"name": "Reconstruct 246",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-246.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "M",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "heart",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "M",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},... | [
"M",
"heart",
"M",
"4",
"4",
"diamond"
] | 3 | 1 | 5 | 5 | {
"TOP": {
"patternId": "M",
"rotation": 0
},
"BOTTOM": {
"patternId": "diamond",
"rotation": 90
},
"FRONT": {
"patternId": "heart",
"rotation": 0
},
"BACK": {
"patternId": "4",
"rotation": 270
},
"LEFT": {
"patternId": "4",
"rotation": 180
},
"RIGHT": {
... | [
{
"patternId": "diamond",
"rotation": 90,
"x": 3,
"y": 1
},
{
"patternId": "heart",
"rotation": 0,
"x": 3,
"y": 2
},
{
"patternId": "M",
"rotation": 0,
"x": 3,
"y": 3
},
{
"patternId": "4",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patt... | [
"FRONT",
"TOP",
"LEFT",
"BOTTOM",
"LEFT",
"FRONT",
"RIGHT"
] | [
"FRONT",
"TOP",
"LEFT",
"BOTTOM",
"RIGHT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "M",
"rotation": 0
},
"BOTTOM": {
"patternId": "diamond",
"rotation": 90
},
"FRONT": {
"patternId": "heart",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId":... | {
"TOP": {
"patternId": "M",
"rotation": 0
},
"BOTTOM": {
"patternId": "diamond",
"rotation": 90
},
"FRONT": {
"patternId": "heart",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "4",
"rotation": 270
},
"RIGHT": {
"... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C246 |
C247 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> S -> E -> N -> W -> S
The ... | standard_cross | [
"E",
"S",
"S",
"E",
"N",
"W",
"S"
] | [
{
"patternId": "F",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "5",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "N",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C247_path_sequence.png"
} | {
"level_id": 247,
"name": "Reconstruct 247",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-247.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "4",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "5",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "F",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"4",
"5",
"F",
"star",
"N",
"5"
] | 1 | 1 | 5 | 5 | {
"TOP": {
"patternId": "4",
"rotation": 90
},
"BOTTOM": {
"patternId": "5",
"rotation": 90
},
"FRONT": {
"patternId": "5",
"rotation": 0
},
"BACK": {
"patternId": "star",
"rotation": 90
},
"LEFT": {
"patternId": "N",
"rotation": 0
},
"RIGHT": {
"pattern... | [
{
"patternId": "5",
"rotation": 90,
"x": 1,
"y": 1
},
{
"patternId": "F",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId": "5",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patternId": "N",
"rotation": 90,
"x": 2,
"y": 3
},
{
"patternId": ... | [
"RIGHT",
"FRONT",
"LEFT",
"TOP",
"FRONT",
"LEFT",
"TOP"
] | [
"RIGHT",
"FRONT",
"LEFT",
"TOP"
] | 4 | {
"faces": {
"TOP": {
"patternId": "4",
"rotation": 90
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "5",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "N",
... | {
"TOP": {
"patternId": "4",
"rotation": 90
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "5",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "N",
"rotation": 90
},
"RIGHT": {
"patternId":... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C247 |
C248 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> E -> E -> N -> N -> N -> E
The ... | standard_cross | [
"N",
"E",
"E",
"N",
"N",
"N",
"E"
] | [
{
"patternId": "star",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_up",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "square",
"rotation": 90,
"flipHorizontal": false,
"flipVertical":... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C248_path_sequence.png"
} | {
"level_id": 248,
"name": "Reconstruct 248",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-248.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "F",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "square",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_up",
"rotation": 180,
"flipHorizontal": false,
"flipVertica... | [
"F",
"square",
"arrow_up",
"star",
"P",
"W"
] | 1 | 5 | 6 | 7 | {
"TOP": {
"patternId": "F",
"rotation": 180
},
"BOTTOM": {
"patternId": "W",
"rotation": 180
},
"FRONT": {
"patternId": "square",
"rotation": 270
},
"BACK": {
"patternId": "star",
"rotation": 180
},
"LEFT": {
"patternId": "P",
"rotation": 90
},
"RIGHT": {
... | [
{
"patternId": "W",
"rotation": 180,
"x": 1,
"y": 5
},
{
"patternId": "star",
"rotation": 0,
"x": 1,
"y": 4
},
{
"patternId": "arrow_up",
"rotation": 90,
"x": 2,
"y": 4
},
{
"patternId": "square",
"rotation": 90,
"x": 3,
"y": 4
},
{
... | [
"BACK",
"RIGHT",
"FRONT",
"TOP",
"BACK",
"BOTTOM",
"LEFT"
] | [
"BACK",
"RIGHT",
"FRONT",
"TOP",
"BOTTOM",
"LEFT"
] | 6 | {
"faces": {
"TOP": {
"patternId": "F",
"rotation": 180
},
"BOTTOM": {
"patternId": "W",
"rotation": 180
},
"FRONT": {
"patternId": "square",
"rotation": 270
},
"BACK": {
"patternId": "star",
"rotation": 0
},
"LEFT": {
"patternI... | {
"TOP": {
"patternId": "F",
"rotation": 180
},
"BOTTOM": {
"patternId": "W",
"rotation": 180
},
"FRONT": {
"patternId": "square",
"rotation": 270
},
"BACK": {
"patternId": "star",
"rotation": 0
},
"LEFT": {
"patternId": "P",
"rotation": 180
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C248 |
C249 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> W -> W -> S -> W -> E -> E
The ... | standard_cross | [
"W",
"W",
"W",
"S",
"W",
"E",
"E"
] | [
{
"patternId": "heart",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "2",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "O",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C249_path_sequence.png"
} | {
"level_id": 249,
"name": "Reconstruct 249",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-249.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "2",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "X",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "O",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"2",
"X",
"O",
"O",
"heart",
"arrow_right"
] | 5 | 1 | 7 | 4 | {
"TOP": {
"patternId": "2",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_right",
"rotation": 90
},
"FRONT": {
"patternId": "X",
"rotation": 90
},
"BACK": {
"patternId": "O",
"rotation": 180
},
"LEFT": {
"patternId": "heart",
"rotation": 180
},
"RIGHT":... | [
{
"patternId": "arrow_right",
"rotation": 90,
"x": 5,
"y": 1
},
{
"patternId": "heart",
"rotation": 90,
"x": 4,
"y": 1
},
{
"patternId": "2",
"rotation": 270,
"x": 3,
"y": 1
},
{
"patternId": "O",
"rotation": 270,
"x": 2,
"y": 1
},
{
... | [
"LEFT",
"TOP",
"RIGHT",
"FRONT",
"BOTTOM",
"FRONT",
"TOP"
] | [
"LEFT",
"TOP",
"RIGHT",
"FRONT",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "2",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_right",
"rotation": 90
},
"FRONT": {
"patternId": "X",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId... | {
"TOP": {
"patternId": "2",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_right",
"rotation": 90
},
"FRONT": {
"patternId": "X",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "heart",
"rotation": 270
},
"RIGHT": {... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C249 |
C250 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> N -> N -> W -> N -> W -> N
The ... | standard_cross | [
"E",
"N",
"N",
"W",
"N",
"W",
"N"
] | [
{
"patternId": "O",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "smile",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "M",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
}... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C250_path_sequence.png"
} | {
"level_id": 250,
"name": "Reconstruct 250",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-250.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "B",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "1",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "O",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"B",
"1",
"O",
"smile",
"M",
"2"
] | 2 | 5 | 5 | 7 | {
"TOP": {
"patternId": "B",
"rotation": 0
},
"BOTTOM": {
"patternId": "2",
"rotation": 0
},
"FRONT": {
"patternId": "1",
"rotation": 0
},
"BACK": {
"patternId": "smile",
"rotation": 270
},
"LEFT": {
"patternId": "M",
"rotation": 180
},
"RIGHT": {
"patte... | [
{
"patternId": "2",
"rotation": 0,
"x": 2,
"y": 5
},
{
"patternId": "O",
"rotation": 270,
"x": 3,
"y": 5
},
{
"patternId": "smile",
"rotation": 0,
"x": 3,
"y": 4
},
{
"patternId": "M",
"rotation": 270,
"x": 3,
"y": 3
},
{
"patternId... | [
"RIGHT",
"BACK",
"LEFT",
"BOTTOM",
"FRONT",
"RIGHT",
"TOP"
] | [
"RIGHT",
"BACK",
"LEFT",
"BOTTOM",
"FRONT",
"TOP"
] | 6 | {
"faces": {
"TOP": {
"patternId": "B",
"rotation": 0
},
"BOTTOM": {
"patternId": "2",
"rotation": 0
},
"FRONT": {
"patternId": "1",
"rotation": 0
},
"BACK": {
"patternId": "smile",
"rotation": 90
},
"LEFT": {
"patternId": "M",
... | {
"TOP": {
"patternId": "B",
"rotation": 0
},
"BOTTOM": {
"patternId": "2",
"rotation": 0
},
"FRONT": {
"patternId": "1",
"rotation": 0
},
"BACK": {
"patternId": "smile",
"rotation": 90
},
"LEFT": {
"patternId": "M",
"rotation": 270
},
"RIGHT": {
"patter... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C250 |
C251 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> E -> W -> W -> S -> S
The puzzl... | standard_cross | [
"N",
"E",
"W",
"W",
"S",
"S"
] | [
{
"patternId": "9",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "D",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "9",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C251_path_sequence.png"
} | {
"level_id": 251,
"name": "Reconstruct 251",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-251.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "A",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "A",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "D",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
... | [
"A",
"A",
"D",
"9",
"V",
"H"
] | 2 | 2 | 5 | 5 | {
"TOP": {
"patternId": "A",
"rotation": 270
},
"BOTTOM": {
"patternId": "H",
"rotation": 270
},
"FRONT": {
"patternId": "A",
"rotation": 270
},
"BACK": {
"patternId": "9",
"rotation": 0
},
"LEFT": {
"patternId": "V",
"rotation": 0
},
"RIGHT": {
"pattern... | [
{
"patternId": "H",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "9",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId": "D",
"rotation": 90,
"x": 3,
"y": 1
},
{
"patternId": "9",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId"... | [
"BACK",
"RIGHT",
"BACK",
"LEFT",
"BOTTOM",
"RIGHT"
] | [
"BACK",
"RIGHT",
"LEFT",
"BOTTOM"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "H",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "9",
"rotation": 180
},
"LEFT": {
"patternId": "V",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "H",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "9",
"rotation": 180
},
"LEFT": {
"patternId": "V",
"rotation": 90
},
"RIGHT": {
"patternI... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C251 |
C252 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> S -> S -> S -> E -> W
The puzzl... | standard_cross | [
"N",
"S",
"S",
"S",
"E",
"W"
] | [
{
"patternId": "smile",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "A",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C252_path_sequence.png"
} | {
"level_id": 252,
"name": "Reconstruct 252",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-252.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "O",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "I",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"O",
"C",
"I",
"smile",
"S",
"A"
] | 1 | 2 | 4 | 6 | {
"TOP": {
"patternId": "O",
"rotation": 0
},
"BOTTOM": {
"patternId": "A",
"rotation": 270
},
"FRONT": {
"patternId": "C",
"rotation": 90
},
"BACK": {
"patternId": "smile",
"rotation": 180
},
"LEFT": {
"patternId": "S",
"rotation": 180
},
"RIGHT": {
"pa... | [
{
"patternId": "A",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "smile",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "A",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "C",
"rotation": 90,
"x": 1,
"y": 3
},
{
"patternI... | [
"BACK",
"BOTTOM",
"FRONT",
"TOP",
"RIGHT",
"TOP"
] | [
"BACK",
"BOTTOM",
"FRONT",
"TOP",
"RIGHT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "O",
"rotation": 0
},
"BOTTOM": {
"patternId": "A",
"rotation": 270
},
"FRONT": {
"patternId": "C",
"rotation": 90
},
"BACK": {
"patternId": "smile",
"rotation": 0
},
"LEFT": {
"patternId": "?"... | {
"TOP": {
"patternId": "O",
"rotation": 0
},
"BOTTOM": {
"patternId": "A",
"rotation": 270
},
"FRONT": {
"patternId": "C",
"rotation": 90
},
"BACK": {
"patternId": "smile",
"rotation": 0
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patter... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C252 |
C253 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> N -> E -> E -> N -> N -> W
The ... | standard_cross | [
"N",
"N",
"E",
"E",
"N",
"N",
"W"
] | [
{
"patternId": "6",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "4",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "B",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C253_path_sequence.png"
} | {
"level_id": 253,
"name": "Reconstruct 253",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-253.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "4",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "plus",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "B",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
... | [
"4",
"plus",
"B",
"6",
"E",
"H"
] | 1 | 5 | 5 | 7 | {
"TOP": {
"patternId": "4",
"rotation": 270
},
"BOTTOM": {
"patternId": "H",
"rotation": 0
},
"FRONT": {
"patternId": "plus",
"rotation": 90
},
"BACK": {
"patternId": "6",
"rotation": 180
},
"LEFT": {
"patternId": "E",
"rotation": 180
},
"RIGHT": {
"pat... | [
{
"patternId": "H",
"rotation": 0,
"x": 1,
"y": 5
},
{
"patternId": "6",
"rotation": 0,
"x": 1,
"y": 4
},
{
"patternId": "4",
"rotation": 270,
"x": 1,
"y": 3
},
{
"patternId": "B",
"rotation": 90,
"x": 2,
"y": 3
},
{
"patternId": "H... | [
"BACK",
"TOP",
"RIGHT",
"BOTTOM",
"FRONT",
"TOP",
"RIGHT"
] | [
"BACK",
"TOP",
"RIGHT",
"BOTTOM",
"FRONT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "4",
"rotation": 270
},
"BOTTOM": {
"patternId": "H",
"rotation": 0
},
"FRONT": {
"patternId": "plus",
"rotation": 90
},
"BACK": {
"patternId": "6",
"rotation": 0
},
"LEFT": {
"patternId": "?",... | {
"TOP": {
"patternId": "4",
"rotation": 270
},
"BOTTOM": {
"patternId": "H",
"rotation": 0
},
"FRONT": {
"patternId": "plus",
"rotation": 90
},
"BACK": {
"patternId": "6",
"rotation": 0
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C253 |
C254 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> W -> S -> E -> S -> S
The puzzl... | standard_cross | [
"E",
"W",
"S",
"E",
"S",
"S"
] | [
{
"patternId": "circle",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "star",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "4",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": tr... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C254_path_sequence.png"
} | {
"level_id": 254,
"name": "Reconstruct 254",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-254.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "star",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "4",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "circle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": f... | [
"star",
"4",
"circle",
"M",
"heart",
"star"
] | 1 | 1 | 4 | 6 | {
"TOP": {
"patternId": "star",
"rotation": 270
},
"BOTTOM": {
"patternId": "star",
"rotation": 180
},
"FRONT": {
"patternId": "4",
"rotation": 180
},
"BACK": {
"patternId": "M",
"rotation": 0
},
"LEFT": {
"patternId": "heart",
"rotation": 0
},
"RIGHT": {
... | [
{
"patternId": "star",
"rotation": 180,
"x": 1,
"y": 1
},
{
"patternId": "circle",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": "star",
"rotation": 180,
"x": 1,
"y": 1
},
{
"patternId": "4",
"rotation": 180,
"x": 1,
"y": 2
},
{
... | [
"RIGHT",
"BOTTOM",
"FRONT",
"RIGHT",
"TOP",
"LEFT"
] | [
"RIGHT",
"BOTTOM",
"FRONT",
"TOP",
"LEFT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "star",
"rotation": 270
},
"BOTTOM": {
"patternId": "star",
"rotation": 180
},
"FRONT": {
"patternId": "4",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId"... | {
"TOP": {
"patternId": "star",
"rotation": 270
},
"BOTTOM": {
"patternId": "star",
"rotation": 180
},
"FRONT": {
"patternId": "4",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "heart",
"rotation": 90
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C254 |
C255 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> W -> E -> E -> E
The puzzl... | standard_cross | [
"S",
"S",
"W",
"E",
"E",
"E"
] | [
{
"patternId": "9",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "I",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C255_path_sequence.png"
} | {
"level_id": 255,
"name": "Reconstruct 255",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-255.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "9",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_down",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": f... | [
"3",
"9",
"arrow_down",
"B",
"I",
"4"
] | 2 | 1 | 6 | 5 | {
"TOP": {
"patternId": "3",
"rotation": 270
},
"BOTTOM": {
"patternId": "4",
"rotation": 90
},
"FRONT": {
"patternId": "9",
"rotation": 270
},
"BACK": {
"patternId": "B",
"rotation": 270
},
"LEFT": {
"patternId": "I",
"rotation": 0
},
"RIGHT": {
"patter... | [
{
"patternId": "4",
"rotation": 90,
"x": 2,
"y": 1
},
{
"patternId": "9",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "3",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId": "I",
"rotation": 90,
"x": 1,
"y": 3
},
{
"patternId":... | [
"FRONT",
"TOP",
"LEFT",
"TOP",
"RIGHT",
"BOTTOM"
] | [
"FRONT",
"TOP",
"LEFT",
"RIGHT",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "3",
"rotation": 270
},
"BOTTOM": {
"patternId": "4",
"rotation": 90
},
"FRONT": {
"patternId": "9",
"rotation": 270
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "I",
... | {
"TOP": {
"patternId": "3",
"rotation": 270
},
"BOTTOM": {
"patternId": "4",
"rotation": 90
},
"FRONT": {
"patternId": "9",
"rotation": 270
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "I",
"rotation": 90
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C255 |
C256 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> N -> E -> S -> W -> W
The puzzl... | standard_cross | [
"S",
"N",
"E",
"S",
"W",
"W"
] | [
{
"patternId": "R",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "Z",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "R",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C256_path_sequence.png"
} | {
"level_id": 256,
"name": "Reconstruct 256",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-256.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "A",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "R",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "R",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"A",
"R",
"R",
"X",
"E",
"Z"
] | 2 | 1 | 5 | 4 | {
"TOP": {
"patternId": "A",
"rotation": 90
},
"BOTTOM": {
"patternId": "Z",
"rotation": 270
},
"FRONT": {
"patternId": "R",
"rotation": 0
},
"BACK": {
"patternId": "X",
"rotation": 90
},
"LEFT": {
"patternId": "E",
"rotation": 90
},
"RIGHT": {
"patternI... | [
{
"patternId": "Z",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": "R",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "Z",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": "R",
"rotation": 90,
"x": 3,
"y": 1
},
{
"patternId": ... | [
"FRONT",
"BOTTOM",
"RIGHT",
"FRONT",
"BOTTOM",
"BACK"
] | [
"FRONT",
"BOTTOM",
"RIGHT",
"BACK"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "Z",
"rotation": 270
},
"FRONT": {
"patternId": "R",
"rotation": 0
},
"BACK": {
"patternId": "X",
"rotation": 270
},
"LEFT": {
"patternId": "?",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "Z",
"rotation": 270
},
"FRONT": {
"patternId": "R",
"rotation": 0
},
"BACK": {
"patternId": "X",
"rotation": 270
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patternId... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C256 |
C257 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> S -> S -> S -> E -> N -> E
The ... | standard_cross | [
"W",
"S",
"S",
"S",
"E",
"N",
"E"
] | [
{
"patternId": "6",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "heart",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "M",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C257_path_sequence.png"
} | {
"level_id": 257,
"name": "Reconstruct 257",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-257.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "4",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "heart",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "M",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
... | [
"4",
"heart",
"M",
"arrow_left",
"6",
"S"
] | 2 | 1 | 5 | 6 | {
"TOP": {
"patternId": "4",
"rotation": 90
},
"BOTTOM": {
"patternId": "S",
"rotation": 0
},
"FRONT": {
"patternId": "heart",
"rotation": 180
},
"BACK": {
"patternId": "arrow_left",
"rotation": 270
},
"LEFT": {
"patternId": "6",
"rotation": 90
},
"RIGHT": {... | [
{
"patternId": "S",
"rotation": 0,
"x": 2,
"y": 1
},
{
"patternId": "6",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "heart",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "M",
"rotation": 90,
"x": 1,
"y": 3
},
{
"patternId":... | [
"LEFT",
"FRONT",
"RIGHT",
"BACK",
"BOTTOM",
"RIGHT",
"FRONT"
] | [
"LEFT",
"FRONT",
"RIGHT",
"BACK",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "S",
"rotation": 0
},
"FRONT": {
"patternId": "heart",
"rotation": 180
},
"BACK": {
"patternId": "arrow_left",
"rotation": 90
},
"LEFT": {
"patter... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "S",
"rotation": 0
},
"FRONT": {
"patternId": "heart",
"rotation": 180
},
"BACK": {
"patternId": "arrow_left",
"rotation": 90
},
"LEFT": {
"patternId": "6",
"rotation": 180
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C257 |
C258 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> E -> S -> N -> N -> E
The puzzl... | standard_cross | [
"S",
"E",
"S",
"N",
"N",
"E"
] | [
{
"patternId": "W",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "1",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "E",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C258_path_sequence.png"
} | {
"level_id": 258,
"name": "Reconstruct 258",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-258.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "E",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "W",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "1",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"E",
"W",
"1",
"U",
"Z",
"H"
] | 1 | 1 | 5 | 5 | {
"TOP": {
"patternId": "E",
"rotation": 90
},
"BOTTOM": {
"patternId": "H",
"rotation": 270
},
"FRONT": {
"patternId": "W",
"rotation": 0
},
"BACK": {
"patternId": "U",
"rotation": 270
},
"LEFT": {
"patternId": "Z",
"rotation": 180
},
"RIGHT": {
"patter... | [
{
"patternId": "H",
"rotation": 270,
"x": 1,
"y": 1
},
{
"patternId": "W",
"rotation": 0,
"x": 1,
"y": 2
},
{
"patternId": "1",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "E",
"rotation": 180,
"x": 2,
"y": 3
},
{
"patternId": "... | [
"FRONT",
"RIGHT",
"TOP",
"RIGHT",
"BOTTOM",
"BACK"
] | [
"FRONT",
"RIGHT",
"TOP",
"BOTTOM",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "E",
"rotation": 90
},
"BOTTOM": {
"patternId": "H",
"rotation": 270
},
"FRONT": {
"patternId": "W",
"rotation": 0
},
"BACK": {
"patternId": "U",
"rotation": 90
},
"LEFT": {
"patternId": "?",
... | {
"TOP": {
"patternId": "E",
"rotation": 90
},
"BOTTOM": {
"patternId": "H",
"rotation": 270
},
"FRONT": {
"patternId": "W",
"rotation": 0
},
"BACK": {
"patternId": "U",
"rotation": 90
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patternId... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C258 |
C259 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> E -> S -> W -> E -> E -> E
The ... | standard_cross | [
"W",
"E",
"S",
"W",
"E",
"E",
"E"
] | [
{
"patternId": "8",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_down",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "L",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": tr... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C259_path_sequence.png"
} | {
"level_id": 259,
"name": "Reconstruct 259",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-259.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "E",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "L",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "E",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},... | [
"E",
"L",
"E",
"M",
"8",
"arrow_down"
] | 2 | 1 | 6 | 4 | {
"TOP": {
"patternId": "E",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_down",
"rotation": 270
},
"FRONT": {
"patternId": "L",
"rotation": 180
},
"BACK": {
"patternId": "M",
"rotation": 180
},
"LEFT": {
"patternId": "8",
"rotation": 180
},
"RIGHT": {
... | [
{
"patternId": "arrow_down",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": "8",
"rotation": 90,
"x": 1,
"y": 1
},
{
"patternId": "arrow_down",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": "L",
"rotation": 180,
"x": 2,
"y": 2
},
... | [
"LEFT",
"BOTTOM",
"FRONT",
"LEFT",
"FRONT",
"RIGHT",
"BACK"
] | [
"LEFT",
"BOTTOM",
"FRONT",
"RIGHT",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "arrow_down",
"rotation": 270
},
"FRONT": {
"patternId": "L",
"rotation": 180
},
"BACK": {
"patternId": "M",
"rotation": 0
},
"LEFT": {
"patternId... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "arrow_down",
"rotation": 270
},
"FRONT": {
"patternId": "L",
"rotation": 180
},
"BACK": {
"patternId": "M",
"rotation": 0
},
"LEFT": {
"patternId": "8",
"rotation": 270
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C259 |
C260 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> W -> S -> W -> S -> S -> W
The ... | standard_cross | [
"N",
"W",
"S",
"W",
"S",
"S",
"W"
] | [
{
"patternId": "triangle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "U",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "A",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C260_path_sequence.png"
} | {
"level_id": 260,
"name": "Reconstruct 260",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-260.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "9",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "C",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "circle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false... | [
"9",
"C",
"circle",
"triangle",
"U",
"A"
] | 4 | 2 | 6 | 6 | {
"TOP": {
"patternId": "9",
"rotation": 90
},
"BOTTOM": {
"patternId": "A",
"rotation": 180
},
"FRONT": {
"patternId": "C",
"rotation": 180
},
"BACK": {
"patternId": "triangle",
"rotation": 270
},
"LEFT": {
"patternId": "U",
"rotation": 180
},
"RIGHT": {
... | [
{
"patternId": "A",
"rotation": 180,
"x": 4,
"y": 2
},
{
"patternId": "triangle",
"rotation": 90,
"x": 4,
"y": 1
},
{
"patternId": "U",
"rotation": 0,
"x": 3,
"y": 1
},
{
"patternId": "A",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patter... | [
"BACK",
"LEFT",
"BOTTOM",
"FRONT",
"RIGHT",
"BACK",
"TOP"
] | [
"BACK",
"LEFT",
"BOTTOM",
"FRONT",
"RIGHT",
"TOP"
] | 6 | {
"faces": {
"TOP": {
"patternId": "9",
"rotation": 90
},
"BOTTOM": {
"patternId": "A",
"rotation": 180
},
"FRONT": {
"patternId": "C",
"rotation": 180
},
"BACK": {
"patternId": "triangle",
"rotation": 90
},
"LEFT": {
"patternId... | {
"TOP": {
"patternId": "9",
"rotation": 90
},
"BOTTOM": {
"patternId": "A",
"rotation": 180
},
"FRONT": {
"patternId": "C",
"rotation": 180
},
"BACK": {
"patternId": "triangle",
"rotation": 90
},
"LEFT": {
"patternId": "U",
"rotation": 270
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C260 |
C261 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> W -> N -> W -> W -> W
The ... | standard_cross | [
"S",
"S",
"W",
"N",
"W",
"W",
"W"
] | [
{
"patternId": "I",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_up",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "L",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C261_path_sequence.png"
} | {
"level_id": 261,
"name": "Reconstruct 261",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-261.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "arrow_up",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "I",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "T",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": fa... | [
"arrow_up",
"I",
"T",
"5",
"L",
"J"
] | 5 | 1 | 7 | 5 | {
"TOP": {
"patternId": "arrow_up",
"rotation": 270
},
"BOTTOM": {
"patternId": "J",
"rotation": 0
},
"FRONT": {
"patternId": "I",
"rotation": 90
},
"BACK": {
"patternId": "5",
"rotation": 270
},
"LEFT": {
"patternId": "L",
"rotation": 180
},
"RIGHT": {
... | [
{
"patternId": "J",
"rotation": 0,
"x": 5,
"y": 1
},
{
"patternId": "I",
"rotation": 90,
"x": 5,
"y": 2
},
{
"patternId": "arrow_up",
"rotation": 270,
"x": 5,
"y": 3
},
{
"patternId": "L",
"rotation": 270,
"x": 4,
"y": 3
},
{
"patte... | [
"FRONT",
"TOP",
"LEFT",
"FRONT",
"BOTTOM",
"BACK",
"TOP"
] | [
"FRONT",
"TOP",
"LEFT",
"BOTTOM",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "arrow_up",
"rotation": 270
},
"BOTTOM": {
"patternId": "J",
"rotation": 0
},
"FRONT": {
"patternId": "I",
"rotation": 90
},
"BACK": {
"patternId": "5",
"rotation": 90
},
"LEFT": {
"patternId":... | {
"TOP": {
"patternId": "arrow_up",
"rotation": 270
},
"BOTTOM": {
"patternId": "J",
"rotation": 0
},
"FRONT": {
"patternId": "I",
"rotation": 90
},
"BACK": {
"patternId": "5",
"rotation": 90
},
"LEFT": {
"patternId": "L",
"rotation": 270
},
"RIGHT": {
"... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C261 |
C262 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> W -> S -> E -> W -> S
The ... | standard_cross | [
"E",
"S",
"W",
"S",
"E",
"W",
"S"
] | [
{
"patternId": "M",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "I",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "3",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C262_path_sequence.png"
} | {
"level_id": 262,
"name": "Reconstruct 262",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-262.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "8",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "I",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "M",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},... | [
"8",
"I",
"M",
"5",
"star",
"3"
] | 1 | 1 | 4 | 6 | {
"TOP": {
"patternId": "8",
"rotation": 90
},
"BOTTOM": {
"patternId": "3",
"rotation": 90
},
"FRONT": {
"patternId": "I",
"rotation": 90
},
"BACK": {
"patternId": "5",
"rotation": 270
},
"LEFT": {
"patternId": "star",
"rotation": 0
},
"RIGHT": {
"patte... | [
{
"patternId": "3",
"rotation": 90,
"x": 1,
"y": 1
},
{
"patternId": "M",
"rotation": 0,
"x": 2,
"y": 1
},
{
"patternId": "I",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId": "3",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": ... | [
"RIGHT",
"FRONT",
"BOTTOM",
"LEFT",
"FRONT",
"LEFT",
"TOP"
] | [
"RIGHT",
"FRONT",
"BOTTOM",
"LEFT",
"TOP"
] | 5 | {
"faces": {
"TOP": {
"patternId": "8",
"rotation": 90
},
"BOTTOM": {
"patternId": "3",
"rotation": 90
},
"FRONT": {
"patternId": "I",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "star",... | {
"TOP": {
"patternId": "8",
"rotation": 90
},
"BOTTOM": {
"patternId": "3",
"rotation": 90
},
"FRONT": {
"patternId": "I",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "star",
"rotation": 90
},
"RIGHT": {
"patter... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C262 |
C263 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> W -> N -> E -> N -> E
The puzzl... | standard_cross | [
"S",
"W",
"N",
"E",
"N",
"E"
] | [
{
"patternId": "9",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "heart",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "K",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C263_path_sequence.png"
} | {
"level_id": 263,
"name": "Reconstruct 263",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-263.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "heart",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "9",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "6",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
... | [
"heart",
"9",
"6",
"R",
"heart",
"K"
] | 2 | 2 | 5 | 5 | {
"TOP": {
"patternId": "heart",
"rotation": 180
},
"BOTTOM": {
"patternId": "K",
"rotation": 180
},
"FRONT": {
"patternId": "9",
"rotation": 180
},
"BACK": {
"patternId": "R",
"rotation": 0
},
"LEFT": {
"patternId": "heart",
"rotation": 90
},
"RIGHT": {
... | [
{
"patternId": "K",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId": "9",
"rotation": 180,
"x": 2,
"y": 3
},
{
"patternId": "heart",
"rotation": 90,
"x": 1,
"y": 3
},
{
"patternId": "K",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patter... | [
"FRONT",
"LEFT",
"BOTTOM",
"FRONT",
"RIGHT",
"TOP"
] | [
"FRONT",
"LEFT",
"BOTTOM",
"RIGHT",
"TOP"
] | 5 | {
"faces": {
"TOP": {
"patternId": "heart",
"rotation": 180
},
"BOTTOM": {
"patternId": "K",
"rotation": 180
},
"FRONT": {
"patternId": "9",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": ... | {
"TOP": {
"patternId": "heart",
"rotation": 180
},
"BOTTOM": {
"patternId": "K",
"rotation": 180
},
"FRONT": {
"patternId": "9",
"rotation": 180
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "heart",
"rotation": 180
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C263 |
C264 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> S -> N -> N -> N -> W
The ... | standard_cross | [
"E",
"S",
"S",
"N",
"N",
"N",
"W"
] | [
{
"patternId": "R",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "E",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "R",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C264_path_sequence.png"
} | {
"level_id": 264,
"name": "Reconstruct 264",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-264.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "plus",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "E",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "R",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
... | [
"plus",
"E",
"R",
"R",
"R",
"arrow_up"
] | 1 | 2 | 4 | 6 | {
"TOP": {
"patternId": "plus",
"rotation": 0
},
"BOTTOM": {
"patternId": "arrow_up",
"rotation": 270
},
"FRONT": {
"patternId": "E",
"rotation": 180
},
"BACK": {
"patternId": "R",
"rotation": 90
},
"LEFT": {
"patternId": "R",
"rotation": 90
},
"RIGHT": {
... | [
{
"patternId": "arrow_up",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "R",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patternId": "E",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId": "R",
"rotation": 180,
"x": 2,
"y": 4
},
{
"pat... | [
"RIGHT",
"FRONT",
"LEFT",
"FRONT",
"RIGHT",
"BACK",
"BOTTOM"
] | [
"RIGHT",
"FRONT",
"LEFT",
"BACK",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "arrow_up",
"rotation": 270
},
"FRONT": {
"patternId": "E",
"rotation": 180
},
"BACK": {
"patternId": "R",
"rotation": 270
},
"LEFT": {
"patternId... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "arrow_up",
"rotation": 270
},
"FRONT": {
"patternId": "E",
"rotation": 180
},
"BACK": {
"patternId": "R",
"rotation": 270
},
"LEFT": {
"patternId": "R",
"rotation": 180
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C264 |
C265 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> N -> W -> S -> E -> S -> E
The ... | standard_cross | [
"W",
"N",
"W",
"S",
"E",
"S",
"E"
] | [
{
"patternId": "Q",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "6",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "P",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C265_path_sequence.png"
} | {
"level_id": 265,
"name": "Reconstruct 265",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-265.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "P",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Q",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_up",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": fa... | [
"P",
"Q",
"arrow_up",
"6",
"Q",
"Y"
] | 3 | 2 | 5 | 5 | {
"TOP": {
"patternId": "P",
"rotation": 180
},
"BOTTOM": {
"patternId": "Y",
"rotation": 90
},
"FRONT": {
"patternId": "Q",
"rotation": 90
},
"BACK": {
"patternId": "6",
"rotation": 180
},
"LEFT": {
"patternId": "Q",
"rotation": 90
},
"RIGHT": {
"patter... | [
{
"patternId": "Y",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "Q",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "6",
"rotation": 90,
"x": 2,
"y": 1
},
{
"patternId": "P",
"rotation": 270,
"x": 1,
"y": 1
},
{
"patternId": "... | [
"LEFT",
"BACK",
"TOP",
"LEFT",
"BACK",
"BOTTOM",
"RIGHT"
] | [
"LEFT",
"BACK",
"TOP",
"BOTTOM",
"RIGHT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "P",
"rotation": 180
},
"BOTTOM": {
"patternId": "Y",
"rotation": 90
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "6",
"rotation": 0
},
"LEFT": {
"patternId": "Q",
... | {
"TOP": {
"patternId": "P",
"rotation": 180
},
"BOTTOM": {
"patternId": "Y",
"rotation": 90
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "6",
"rotation": 0
},
"LEFT": {
"patternId": "Q",
"rotation": 180
},
"RIGHT": {
"patternI... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C265 |
C266 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> W -> S -> S -> N -> N
The puzzl... | standard_cross | [
"W",
"W",
"S",
"S",
"N",
"N"
] | [
{
"patternId": "R",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "A",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "4",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C266_path_sequence.png"
} | {
"level_id": 266,
"name": "Reconstruct 266",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-266.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "A",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "4",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "N",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"A",
"4",
"N",
"star",
"R",
"circle"
] | 3 | 1 | 5 | 5 | {
"TOP": {
"patternId": "A",
"rotation": 180
},
"BOTTOM": {
"patternId": "circle",
"rotation": 0
},
"FRONT": {
"patternId": "4",
"rotation": 0
},
"BACK": {
"patternId": "star",
"rotation": 0
},
"LEFT": {
"patternId": "R",
"rotation": 0
},
"RIGHT": {
"pat... | [
{
"patternId": "circle",
"rotation": 0,
"x": 3,
"y": 1
},
{
"patternId": "R",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": "A",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "4",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternI... | [
"LEFT",
"TOP",
"FRONT",
"BOTTOM",
"FRONT",
"TOP"
] | [
"LEFT",
"TOP",
"FRONT",
"BOTTOM"
] | 4 | {
"faces": {
"TOP": {
"patternId": "A",
"rotation": 180
},
"BOTTOM": {
"patternId": "circle",
"rotation": 0
},
"FRONT": {
"patternId": "4",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "R"... | {
"TOP": {
"patternId": "A",
"rotation": 180
},
"BOTTOM": {
"patternId": "circle",
"rotation": 0
},
"FRONT": {
"patternId": "4",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "R",
"rotation": 90
},
"RIGHT": {
"patte... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C266 |
C267 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> W -> S -> S -> E -> S -> S
The ... | standard_cross | [
"S",
"W",
"S",
"S",
"E",
"S",
"S"
] | [
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "J",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "M",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C267_path_sequence.png"
} | {
"level_id": 267,
"name": "Reconstruct 267",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-267.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "M",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Z",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},... | [
"M",
"3",
"Z",
"V",
"J",
"6"
] | 2 | 1 | 4 | 8 | {
"TOP": {
"patternId": "M",
"rotation": 0
},
"BOTTOM": {
"patternId": "6",
"rotation": 90
},
"FRONT": {
"patternId": "3",
"rotation": 270
},
"BACK": {
"patternId": "V",
"rotation": 90
},
"LEFT": {
"patternId": "J",
"rotation": 90
},
"RIGHT": {
"patternI... | [
{
"patternId": "6",
"rotation": 90,
"x": 2,
"y": 1
},
{
"patternId": "3",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "J",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "M",
"rotation": 270,
"x": 1,
"y": 3
},
{
"patternId":... | [
"FRONT",
"LEFT",
"TOP",
"RIGHT",
"FRONT",
"BOTTOM",
"BACK"
] | [
"FRONT",
"LEFT",
"TOP",
"RIGHT",
"BOTTOM",
"BACK"
] | 6 | {
"faces": {
"TOP": {
"patternId": "M",
"rotation": 0
},
"BOTTOM": {
"patternId": "6",
"rotation": 90
},
"FRONT": {
"patternId": "3",
"rotation": 270
},
"BACK": {
"patternId": "V",
"rotation": 270
},
"LEFT": {
"patternId": "J",
... | {
"TOP": {
"patternId": "M",
"rotation": 0
},
"BOTTOM": {
"patternId": "6",
"rotation": 90
},
"FRONT": {
"patternId": "3",
"rotation": 270
},
"BACK": {
"patternId": "V",
"rotation": 270
},
"LEFT": {
"patternId": "J",
"rotation": 180
},
"RIGHT": {
"patter... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C267 |
C268 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> N -> N -> W -> W -> S -> S
The ... | standard_cross | [
"S",
"N",
"N",
"W",
"W",
"S",
"S"
] | [
{
"patternId": "arrow_down",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "9",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "diamond",
"rotation": 0,
"flipHorizontal": false,
"flipVertical"... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C268_path_sequence.png"
} | {
"level_id": 268,
"name": "Reconstruct 268",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-268.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "P",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_down",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "8",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": fa... | [
"P",
"arrow_down",
"8",
"diamond",
"Y",
"9"
] | 3 | 2 | 5 | 5 | {
"TOP": {
"patternId": "P",
"rotation": 270
},
"BOTTOM": {
"patternId": "9",
"rotation": 180
},
"FRONT": {
"patternId": "arrow_down",
"rotation": 90
},
"BACK": {
"patternId": "diamond",
"rotation": 180
},
"LEFT": {
"patternId": "Y",
"rotation": 270
},
"RIGH... | [
{
"patternId": "9",
"rotation": 180,
"x": 3,
"y": 2
},
{
"patternId": "arrow_down",
"rotation": 90,
"x": 3,
"y": 3
},
{
"patternId": "9",
"rotation": 180,
"x": 3,
"y": 2
},
{
"patternId": "diamond",
"rotation": 0,
"x": 3,
"y": 1
},
{
... | [
"FRONT",
"BOTTOM",
"BACK",
"LEFT",
"FRONT",
"BOTTOM",
"BACK"
] | [
"FRONT",
"BOTTOM",
"BACK",
"LEFT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "9",
"rotation": 180
},
"FRONT": {
"patternId": "arrow_down",
"rotation": 90
},
"BACK": {
"patternId": "diamond",
"rotation": 0
},
"LEFT": {
"patt... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "9",
"rotation": 180
},
"FRONT": {
"patternId": "arrow_down",
"rotation": 90
},
"BACK": {
"patternId": "diamond",
"rotation": 0
},
"LEFT": {
"patternId": "Y",
"rotation": 0
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C268 |
C269 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> W -> N -> N -> N -> W
The puzzl... | standard_cross | [
"N",
"W",
"N",
"N",
"N",
"W"
] | [
{
"patternId": "square",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_up",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": ... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C269_path_sequence.png"
} | {
"level_id": 269,
"name": "Reconstruct 269",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-269.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "C",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Y",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_up",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": fa... | [
"C",
"Y",
"arrow_up",
"square",
"arrow_up",
"F"
] | 3 | 5 | 5 | 7 | {
"TOP": {
"patternId": "C",
"rotation": 270
},
"BOTTOM": {
"patternId": "F",
"rotation": 90
},
"FRONT": {
"patternId": "Y",
"rotation": 90
},
"BACK": {
"patternId": "square",
"rotation": 0
},
"LEFT": {
"patternId": "arrow_up",
"rotation": 0
},
"RIGHT": {
... | [
{
"patternId": "F",
"rotation": 90,
"x": 3,
"y": 5
},
{
"patternId": "square",
"rotation": 180,
"x": 3,
"y": 4
},
{
"patternId": "arrow_up",
"rotation": 180,
"x": 2,
"y": 4
},
{
"patternId": "C",
"rotation": 0,
"x": 2,
"y": 3
},
{
"... | [
"BACK",
"LEFT",
"TOP",
"RIGHT",
"BOTTOM",
"FRONT"
] | [
"BACK",
"LEFT",
"TOP",
"RIGHT",
"BOTTOM",
"FRONT"
] | 6 | {
"faces": {
"TOP": {
"patternId": "C",
"rotation": 270
},
"BOTTOM": {
"patternId": "F",
"rotation": 90
},
"FRONT": {
"patternId": "Y",
"rotation": 90
},
"BACK": {
"patternId": "square",
"rotation": 180
},
"LEFT": {
"patternId":... | {
"TOP": {
"patternId": "C",
"rotation": 270
},
"BOTTOM": {
"patternId": "F",
"rotation": 90
},
"FRONT": {
"patternId": "Y",
"rotation": 90
},
"BACK": {
"patternId": "square",
"rotation": 180
},
"LEFT": {
"patternId": "arrow_up",
"rotation": 90
},
"RIGHT": {... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C269 |
C270 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> N -> W -> N -> S -> W -> W
The ... | standard_cross | [
"W",
"N",
"W",
"N",
"S",
"W",
"W"
] | [
{
"patternId": "V",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "L",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "J",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C270_path_sequence.png"
} | {
"level_id": 270,
"name": "Reconstruct 270",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-270.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "J",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Y",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Z",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},... | [
"J",
"Y",
"Z",
"L",
"V",
"3"
] | 5 | 3 | 7 | 5 | {
"TOP": {
"patternId": "J",
"rotation": 0
},
"BOTTOM": {
"patternId": "3",
"rotation": 180
},
"FRONT": {
"patternId": "Y",
"rotation": 180
},
"BACK": {
"patternId": "L",
"rotation": 180
},
"LEFT": {
"patternId": "V",
"rotation": 180
},
"RIGHT": {
"patte... | [
{
"patternId": "3",
"rotation": 180,
"x": 5,
"y": 3
},
{
"patternId": "V",
"rotation": 90,
"x": 4,
"y": 3
},
{
"patternId": "L",
"rotation": 90,
"x": 4,
"y": 2
},
{
"patternId": "J",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": ... | [
"LEFT",
"BACK",
"TOP",
"RIGHT",
"TOP",
"FRONT",
"BOTTOM"
] | [
"LEFT",
"BACK",
"TOP",
"RIGHT",
"FRONT",
"BOTTOM"
] | 6 | {
"faces": {
"TOP": {
"patternId": "J",
"rotation": 0
},
"BOTTOM": {
"patternId": "3",
"rotation": 180
},
"FRONT": {
"patternId": "Y",
"rotation": 180
},
"BACK": {
"patternId": "L",
"rotation": 0
},
"LEFT": {
"patternId": "V",
... | {
"TOP": {
"patternId": "J",
"rotation": 0
},
"BOTTOM": {
"patternId": "3",
"rotation": 180
},
"FRONT": {
"patternId": "Y",
"rotation": 180
},
"BACK": {
"patternId": "L",
"rotation": 0
},
"LEFT": {
"patternId": "V",
"rotation": 270
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C270 |
C271 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> N -> N -> W -> W -> S -> W
The ... | standard_cross | [
"N",
"N",
"N",
"W",
"W",
"S",
"W"
] | [
{
"patternId": "square",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "heart",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "smile",
"rotation": 270,
"flipHorizontal": false,
"flipVertical":... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C271_path_sequence.png"
} | {
"level_id": 271,
"name": "Reconstruct 271",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-271.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "heart",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "smile",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "5",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": fal... | [
"heart",
"smile",
"5",
"square",
"9",
"square"
] | 4 | 4 | 6 | 6 | {
"TOP": {
"patternId": "heart",
"rotation": 90
},
"BOTTOM": {
"patternId": "square",
"rotation": 0
},
"FRONT": {
"patternId": "smile",
"rotation": 270
},
"BACK": {
"patternId": "square",
"rotation": 270
},
"LEFT": {
"patternId": "9",
"rotation": 180
},
"RIG... | [
{
"patternId": "square",
"rotation": 0,
"x": 4,
"y": 4
},
{
"patternId": "square",
"rotation": 90,
"x": 4,
"y": 3
},
{
"patternId": "heart",
"rotation": 90,
"x": 4,
"y": 2
},
{
"patternId": "smile",
"rotation": 270,
"x": 4,
"y": 1
},
{
... | [
"BACK",
"TOP",
"FRONT",
"LEFT",
"BACK",
"TOP",
"RIGHT"
] | [
"BACK",
"TOP",
"FRONT",
"LEFT",
"RIGHT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "heart",
"rotation": 90
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "smile",
"rotation": 270
},
"BACK": {
"patternId": "square",
"rotation": 90
},
"LEFT": {
"patte... | {
"TOP": {
"patternId": "heart",
"rotation": 90
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "smile",
"rotation": 270
},
"BACK": {
"patternId": "square",
"rotation": 90
},
"LEFT": {
"patternId": "9",
"rotation": 270
},
"RIGHT": {... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C271 |
C272 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> W -> W -> N -> S -> W
The ... | standard_cross | [
"E",
"S",
"W",
"W",
"N",
"S",
"W"
] | [
{
"patternId": "W",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "heart",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "A",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C272_path_sequence.png"
} | {
"level_id": 272,
"name": "Reconstruct 272",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-272.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "F",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "heart",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "W",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
... | [
"F",
"heart",
"W",
"M",
"O",
"A"
] | 3 | 1 | 6 | 4 | {
"TOP": {
"patternId": "F",
"rotation": 270
},
"BOTTOM": {
"patternId": "A",
"rotation": 90
},
"FRONT": {
"patternId": "heart",
"rotation": 0
},
"BACK": {
"patternId": "M",
"rotation": 0
},
"LEFT": {
"patternId": "O",
"rotation": 270
},
"RIGHT": {
"patt... | [
{
"patternId": "A",
"rotation": 90,
"x": 3,
"y": 1
},
{
"patternId": "W",
"rotation": 270,
"x": 4,
"y": 1
},
{
"patternId": "heart",
"rotation": 90,
"x": 4,
"y": 2
},
{
"patternId": "A",
"rotation": 180,
"x": 3,
"y": 2
},
{
"pattern... | [
"RIGHT",
"FRONT",
"BOTTOM",
"BACK",
"RIGHT",
"BACK",
"TOP"
] | [
"RIGHT",
"FRONT",
"BOTTOM",
"BACK",
"TOP"
] | 5 | {
"faces": {
"TOP": {
"patternId": "F",
"rotation": 270
},
"BOTTOM": {
"patternId": "A",
"rotation": 90
},
"FRONT": {
"patternId": "heart",
"rotation": 0
},
"BACK": {
"patternId": "M",
"rotation": 180
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "F",
"rotation": 270
},
"BOTTOM": {
"patternId": "A",
"rotation": 90
},
"FRONT": {
"patternId": "heart",
"rotation": 0
},
"BACK": {
"patternId": "M",
"rotation": 180
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patt... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C272 |
C273 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> E -> S -> E -> W -> N
The puzzl... | standard_cross | [
"N",
"E",
"S",
"E",
"W",
"N"
] | [
{
"patternId": "D",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_right",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "circle",
"rotation": 270,
"flipHorizontal": false,
"flipVertical... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C273_path_sequence.png"
} | {
"level_id": 273,
"name": "Reconstruct 273",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-273.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "1",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "D",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_right",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": fa... | [
"1",
"D",
"arrow_right",
"D",
"B",
"circle"
] | 1 | 2 | 5 | 4 | {
"TOP": {
"patternId": "1",
"rotation": 0
},
"BOTTOM": {
"patternId": "circle",
"rotation": 180
},
"FRONT": {
"patternId": "D",
"rotation": 270
},
"BACK": {
"patternId": "D",
"rotation": 180
},
"LEFT": {
"patternId": "B",
"rotation": 90
},
"RIGHT": {
"p... | [
{
"patternId": "circle",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "D",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "arrow_right",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": "circle",
"rotation": 270,
"x": 2,
"y": 2
},
... | [
"BACK",
"RIGHT",
"BOTTOM",
"FRONT",
"BOTTOM",
"RIGHT"
] | [
"BACK",
"RIGHT",
"BOTTOM",
"FRONT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "circle",
"rotation": 180
},
"FRONT": {
"patternId": "D",
"rotation": 270
},
"BACK": {
"patternId": "D",
"rotation": 0
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "circle",
"rotation": 180
},
"FRONT": {
"patternId": "D",
"rotation": 270
},
"BACK": {
"patternId": "D",
"rotation": 0
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"patt... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C273 |
C274 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> N -> W -> N -> N -> E -> N
The ... | standard_cross | [
"W",
"N",
"W",
"N",
"N",
"E",
"N"
] | [
{
"patternId": "B",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "9",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_left",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": tr... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C274_path_sequence.png"
} | {
"level_id": 274,
"name": "Reconstruct 274",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-274.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "arrow_left",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Y",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Y",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": fa... | [
"arrow_left",
"Y",
"Y",
"9",
"B",
"7"
] | 3 | 5 | 5 | 7 | {
"TOP": {
"patternId": "arrow_left",
"rotation": 0
},
"BOTTOM": {
"patternId": "7",
"rotation": 180
},
"FRONT": {
"patternId": "Y",
"rotation": 180
},
"BACK": {
"patternId": "9",
"rotation": 270
},
"LEFT": {
"patternId": "B",
"rotation": 270
},
"RIGHT": {
... | [
{
"patternId": "7",
"rotation": 180,
"x": 3,
"y": 5
},
{
"patternId": "B",
"rotation": 180,
"x": 2,
"y": 5
},
{
"patternId": "9",
"rotation": 180,
"x": 2,
"y": 4
},
{
"patternId": "arrow_left",
"rotation": 90,
"x": 1,
"y": 4
},
{
"p... | [
"LEFT",
"BACK",
"TOP",
"RIGHT",
"BOTTOM",
"BACK",
"LEFT"
] | [
"LEFT",
"BACK",
"TOP",
"RIGHT",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "arrow_left",
"rotation": 0
},
"BOTTOM": {
"patternId": "7",
"rotation": 180
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "9",
"rotation": 90
},
"LEFT": {
"patternId"... | {
"TOP": {
"patternId": "arrow_left",
"rotation": 0
},
"BOTTOM": {
"patternId": "7",
"rotation": 180
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "9",
"rotation": 90
},
"LEFT": {
"patternId": "B",
"rotation": 0
},
"RIGHT": {
"p... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C274 |
C275 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> N -> S -> W -> W -> S -> S
The ... | standard_cross | [
"N",
"N",
"S",
"W",
"W",
"S",
"S"
] | [
{
"patternId": "I",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "6",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "I",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C275_path_sequence.png"
} | {
"level_id": 275,
"name": "Reconstruct 275",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-275.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "6",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "O",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "smile",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": fals... | [
"6",
"O",
"smile",
"I",
"arrow_down",
"arrow_up"
] | 3 | 3 | 5 | 6 | {
"TOP": {
"patternId": "6",
"rotation": 180
},
"BOTTOM": {
"patternId": "arrow_up",
"rotation": 180
},
"FRONT": {
"patternId": "O",
"rotation": 270
},
"BACK": {
"patternId": "I",
"rotation": 90
},
"LEFT": {
"patternId": "arrow_down",
"rotation": 90
},
"RIGH... | [
{
"patternId": "arrow_up",
"rotation": 180,
"x": 3,
"y": 3
},
{
"patternId": "I",
"rotation": 270,
"x": 3,
"y": 2
},
{
"patternId": "6",
"rotation": 180,
"x": 3,
"y": 1
},
{
"patternId": "I",
"rotation": 270,
"x": 3,
"y": 2
},
{
"pa... | [
"BACK",
"TOP",
"BACK",
"LEFT",
"FRONT",
"BOTTOM",
"BACK"
] | [
"BACK",
"TOP",
"LEFT",
"FRONT",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "6",
"rotation": 180
},
"BOTTOM": {
"patternId": "arrow_up",
"rotation": 180
},
"FRONT": {
"patternId": "O",
"rotation": 270
},
"BACK": {
"patternId": "I",
"rotation": 270
},
"LEFT": {
"pattern... | {
"TOP": {
"patternId": "6",
"rotation": 180
},
"BOTTOM": {
"patternId": "arrow_up",
"rotation": 180
},
"FRONT": {
"patternId": "O",
"rotation": 270
},
"BACK": {
"patternId": "I",
"rotation": 270
},
"LEFT": {
"patternId": "arrow_down",
"rotation": 180
},
"RI... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C275 |
C276 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> E -> S -> E -> E -> E
The ... | standard_cross | [
"E",
"S",
"E",
"S",
"E",
"E",
"E"
] | [
{
"patternId": "S",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "B",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "R",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C276_path_sequence.png"
} | {
"level_id": 276,
"name": "Reconstruct 276",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-276.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "R",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "B",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "S",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},... | [
"R",
"B",
"S",
"arrow_left",
"circle",
"C"
] | 1 | 1 | 8 | 5 | {
"TOP": {
"patternId": "R",
"rotation": 180
},
"BOTTOM": {
"patternId": "C",
"rotation": 180
},
"FRONT": {
"patternId": "B",
"rotation": 270
},
"BACK": {
"patternId": "arrow_left",
"rotation": 180
},
"LEFT": {
"patternId": "circle",
"rotation": 180
},
"RIGH... | [
{
"patternId": "C",
"rotation": 180,
"x": 1,
"y": 1
},
{
"patternId": "S",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId": "B",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "R",
"rotation": 270,
"x": 3,
"y": 2
},
{
"patternId":... | [
"RIGHT",
"FRONT",
"TOP",
"LEFT",
"BACK",
"RIGHT",
"FRONT"
] | [
"RIGHT",
"FRONT",
"TOP",
"LEFT",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "R",
"rotation": 180
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "B",
"rotation": 270
},
"BACK": {
"patternId": "arrow_left",
"rotation": 0
},
"LEFT": {
"patternId... | {
"TOP": {
"patternId": "R",
"rotation": 180
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "B",
"rotation": 270
},
"BACK": {
"patternId": "arrow_left",
"rotation": 0
},
"LEFT": {
"patternId": "circle",
"rotation": 270
},
"RIGHT": ... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C276 |
C277 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> W -> S -> E -> N -> W -> N
The ... | standard_cross | [
"S",
"W",
"S",
"E",
"N",
"W",
"N"
] | [
{
"patternId": "7",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "2",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_up",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C277_path_sequence.png"
} | {
"level_id": 277,
"name": "Reconstruct 277",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-277.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "arrow_up",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "7",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "C",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": fal... | [
"arrow_up",
"7",
"C",
"R",
"2",
"K"
] | 2 | 1 | 4 | 5 | {
"TOP": {
"patternId": "arrow_up",
"rotation": 270
},
"BOTTOM": {
"patternId": "K",
"rotation": 0
},
"FRONT": {
"patternId": "7",
"rotation": 0
},
"BACK": {
"patternId": "R",
"rotation": 270
},
"LEFT": {
"patternId": "2",
"rotation": 180
},
"RIGHT": {
"... | [
{
"patternId": "K",
"rotation": 0,
"x": 2,
"y": 1
},
{
"patternId": "7",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "2",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "arrow_up",
"rotation": 180,
"x": 1,
"y": 3
},
{
"patter... | [
"FRONT",
"LEFT",
"TOP",
"FRONT",
"LEFT",
"TOP",
"BACK"
] | [
"FRONT",
"LEFT",
"TOP",
"BACK"
] | 4 | {
"faces": {
"TOP": {
"patternId": "arrow_up",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "7",
"rotation": 0
},
"BACK": {
"patternId": "R",
"rotation": 90
},
"LEFT": {
"patternId": ... | {
"TOP": {
"patternId": "arrow_up",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "7",
"rotation": 0
},
"BACK": {
"patternId": "R",
"rotation": 90
},
"LEFT": {
"patternId": "2",
"rotation": 270
},
"RIGHT": {
"p... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C277 |
C278 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> E -> N -> S -> N -> N
The puzzl... | standard_cross | [
"W",
"E",
"N",
"S",
"N",
"N"
] | [
{
"patternId": "A",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "6",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "D",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C278_path_sequence.png"
} | {
"level_id": 278,
"name": "Reconstruct 278",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-278.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "B",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "H",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "U",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},... | [
"B",
"H",
"U",
"D",
"A",
"6"
] | 2 | 3 | 4 | 5 | {
"TOP": {
"patternId": "B",
"rotation": 270
},
"BOTTOM": {
"patternId": "6",
"rotation": 270
},
"FRONT": {
"patternId": "H",
"rotation": 180
},
"BACK": {
"patternId": "D",
"rotation": 90
},
"LEFT": {
"patternId": "A",
"rotation": 90
},
"RIGHT": {
"patte... | [
{
"patternId": "6",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId": "A",
"rotation": 0,
"x": 1,
"y": 3
},
{
"patternId": "6",
"rotation": 270,
"x": 2,
"y": 3
},
{
"patternId": "D",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId":... | [
"LEFT",
"BOTTOM",
"BACK",
"BOTTOM",
"BACK",
"TOP"
] | [
"LEFT",
"BOTTOM",
"BACK",
"TOP"
] | 4 | {
"faces": {
"TOP": {
"patternId": "B",
"rotation": 270
},
"BOTTOM": {
"patternId": "6",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "D",
"rotation": 270
},
"LEFT": {
"patternId": "A",... | {
"TOP": {
"patternId": "B",
"rotation": 270
},
"BOTTOM": {
"patternId": "6",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "D",
"rotation": 270
},
"LEFT": {
"patternId": "A",
"rotation": 180
},
"RIGHT": {
"patte... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C278 |
C279 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> S -> W -> E -> W -> S
The puzzl... | standard_cross | [
"W",
"S",
"W",
"E",
"W",
"S"
] | [
{
"patternId": "2",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "N",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "O",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C279_path_sequence.png"
} | {
"level_id": 279,
"name": "Reconstruct 279",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-279.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "O",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "N",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_up",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": fal... | [
"O",
"N",
"arrow_up",
"arrow_right",
"2",
"F"
] | 3 | 1 | 5 | 5 | {
"TOP": {
"patternId": "O",
"rotation": 0
},
"BOTTOM": {
"patternId": "F",
"rotation": 0
},
"FRONT": {
"patternId": "N",
"rotation": 270
},
"BACK": {
"patternId": "arrow_right",
"rotation": 270
},
"LEFT": {
"patternId": "2",
"rotation": 90
},
"RIGHT": {
... | [
{
"patternId": "F",
"rotation": 0,
"x": 3,
"y": 1
},
{
"patternId": "2",
"rotation": 0,
"x": 2,
"y": 1
},
{
"patternId": "N",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId": "O",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "... | [
"LEFT",
"FRONT",
"TOP",
"FRONT",
"TOP",
"RIGHT"
] | [
"LEFT",
"FRONT",
"TOP",
"RIGHT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "O",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "N",
"rotation": 270
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "2",
... | {
"TOP": {
"patternId": "O",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "N",
"rotation": 270
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "2",
"rotation": 180
},
"RIGHT": {
"patternId... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C279 |
C280 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> N -> N -> N -> E -> S -> S
The ... | standard_cross | [
"W",
"N",
"N",
"N",
"E",
"S",
"S"
] | [
{
"patternId": "arrow_up",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "H",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C280_path_sequence.png"
} | {
"level_id": 280,
"name": "Reconstruct 280",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-280.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "D",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "5",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
}... | [
"D",
"5",
"C",
"H",
"arrow_up",
"U"
] | 2 | 4 | 4 | 6 | {
"TOP": {
"patternId": "D",
"rotation": 270
},
"BOTTOM": {
"patternId": "U",
"rotation": 0
},
"FRONT": {
"patternId": "5",
"rotation": 180
},
"BACK": {
"patternId": "H",
"rotation": 0
},
"LEFT": {
"patternId": "arrow_up",
"rotation": 0
},
"RIGHT": {
"pa... | [
{
"patternId": "U",
"rotation": 0,
"x": 2,
"y": 4
},
{
"patternId": "arrow_up",
"rotation": 270,
"x": 1,
"y": 4
},
{
"patternId": "H",
"rotation": 270,
"x": 1,
"y": 3
},
{
"patternId": "C",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patte... | [
"LEFT",
"BACK",
"RIGHT",
"FRONT",
"BOTTOM",
"RIGHT",
"TOP"
] | [
"LEFT",
"BACK",
"RIGHT",
"FRONT",
"BOTTOM",
"TOP"
] | 6 | {
"faces": {
"TOP": {
"patternId": "D",
"rotation": 270
},
"BOTTOM": {
"patternId": "U",
"rotation": 0
},
"FRONT": {
"patternId": "5",
"rotation": 180
},
"BACK": {
"patternId": "H",
"rotation": 180
},
"LEFT": {
"patternId": "arr... | {
"TOP": {
"patternId": "D",
"rotation": 270
},
"BOTTOM": {
"patternId": "U",
"rotation": 0
},
"FRONT": {
"patternId": "5",
"rotation": 180
},
"BACK": {
"patternId": "H",
"rotation": 180
},
"LEFT": {
"patternId": "arrow_up",
"rotation": 90
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C280 |
C281 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> W -> W -> E -> E -> E -> N
The ... | standard_cross | [
"W",
"W",
"W",
"E",
"E",
"E",
"N"
] | [
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_right",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "J",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": tru... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C281_path_sequence.png"
} | {
"level_id": 281,
"name": "Reconstruct 281",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-281.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "arrow_right",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "1",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "J",
"rotation": 180,
"flipHorizontal": false,
"flipVertical":... | [
"arrow_right",
"1",
"J",
"diamond",
"C",
"arrow_left"
] | 4 | 2 | 6 | 4 | {
"TOP": {
"patternId": "arrow_right",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_left",
"rotation": 180
},
"FRONT": {
"patternId": "1",
"rotation": 270
},
"BACK": {
"patternId": "diamond",
"rotation": 90
},
"LEFT": {
"patternId": "C",
"rotation": 180
}... | [
{
"patternId": "arrow_left",
"rotation": 180,
"x": 4,
"y": 2
},
{
"patternId": "C",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "arrow_right",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "J",
"rotation": 0,
"x": 1,
"y": 2
},
... | [
"LEFT",
"TOP",
"RIGHT",
"TOP",
"LEFT",
"BOTTOM",
"BACK"
] | [
"LEFT",
"TOP",
"RIGHT",
"BOTTOM",
"BACK"
] | 5 | {
"faces": {
"TOP": {
"patternId": "arrow_right",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_left",
"rotation": 180
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "diamond",
"rotation": 270
},
"LEFT": {... | {
"TOP": {
"patternId": "arrow_right",
"rotation": 90
},
"BOTTOM": {
"patternId": "arrow_left",
"rotation": 180
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "diamond",
"rotation": 270
},
"LEFT": {
"patternId": "C",
"rotation": 270
},... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C281 |
C282 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> E -> S -> E -> E -> E
The ... | standard_cross | [
"S",
"S",
"E",
"S",
"E",
"E",
"E"
] | [
{
"patternId": "H",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "7",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "4",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C282_path_sequence.png"
} | {
"level_id": 282,
"name": "Reconstruct 282",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-282.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "7",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "H",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "4",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"7",
"H",
"4",
"Z",
"plus",
"7"
] | 1 | 1 | 7 | 6 | {
"TOP": {
"patternId": "7",
"rotation": 90
},
"BOTTOM": {
"patternId": "7",
"rotation": 270
},
"FRONT": {
"patternId": "H",
"rotation": 90
},
"BACK": {
"patternId": "Z",
"rotation": 90
},
"LEFT": {
"patternId": "plus",
"rotation": 180
},
"RIGHT": {
"pat... | [
{
"patternId": "7",
"rotation": 270,
"x": 1,
"y": 1
},
{
"patternId": "H",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "7",
"rotation": 90,
"x": 1,
"y": 3
},
{
"patternId": "4",
"rotation": 0,
"x": 2,
"y": 3
},
{
"patternId": "... | [
"FRONT",
"TOP",
"RIGHT",
"BACK",
"BOTTOM",
"FRONT",
"TOP"
] | [
"FRONT",
"TOP",
"RIGHT",
"BACK",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "7",
"rotation": 90
},
"BOTTOM": {
"patternId": "7",
"rotation": 270
},
"FRONT": {
"patternId": "H",
"rotation": 90
},
"BACK": {
"patternId": "Z",
"rotation": 270
},
"LEFT": {
"patternId": "?",... | {
"TOP": {
"patternId": "7",
"rotation": 90
},
"BOTTOM": {
"patternId": "7",
"rotation": 270
},
"FRONT": {
"patternId": "H",
"rotation": 90
},
"BACK": {
"patternId": "Z",
"rotation": 270
},
"LEFT": {
"patternId": "?",
"rotation": 0
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C282 |
C283 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> S -> S -> W -> N -> E
The puzzl... | standard_cross | [
"E",
"S",
"S",
"W",
"N",
"E"
] | [
{
"patternId": "triangle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "Z",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "A",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C283_path_sequence.png"
} | {
"level_id": 283,
"name": "Reconstruct 283",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-283.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Z",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "triangle",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": fal... | [
"C",
"Z",
"triangle",
"T",
"A",
"1"
] | 1 | 1 | 4 | 5 | {
"TOP": {
"patternId": "C",
"rotation": 90
},
"BOTTOM": {
"patternId": "1",
"rotation": 270
},
"FRONT": {
"patternId": "Z",
"rotation": 90
},
"BACK": {
"patternId": "T",
"rotation": 0
},
"LEFT": {
"patternId": "A",
"rotation": 270
},
"RIGHT": {
"pattern... | [
{
"patternId": "1",
"rotation": 270,
"x": 1,
"y": 1
},
{
"patternId": "triangle",
"rotation": 90,
"x": 2,
"y": 1
},
{
"patternId": "Z",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId": "A",
"rotation": 0,
"x": 2,
"y": 3
},
{
"patte... | [
"RIGHT",
"FRONT",
"LEFT",
"BOTTOM",
"FRONT",
"LEFT"
] | [
"RIGHT",
"FRONT",
"LEFT",
"BOTTOM"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "1",
"rotation": 270
},
"FRONT": {
"patternId": "Z",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "A",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "1",
"rotation": 270
},
"FRONT": {
"patternId": "Z",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "A",
"rotation": 0
},
"RIGHT": {
"patternId"... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C283 |
C284 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> W -> N -> N -> W -> W
The puzzl... | standard_cross | [
"W",
"W",
"N",
"N",
"W",
"W"
] | [
{
"patternId": "4",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "S",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "B",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C284_path_sequence.png"
} | {
"level_id": 284,
"name": "Reconstruct 284",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-284.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "S",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "C",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Z",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
... | [
"S",
"C",
"Z",
"B",
"4",
"heart"
] | 5 | 3 | 7 | 5 | {
"TOP": {
"patternId": "S",
"rotation": 180
},
"BOTTOM": {
"patternId": "heart",
"rotation": 270
},
"FRONT": {
"patternId": "C",
"rotation": 270
},
"BACK": {
"patternId": "B",
"rotation": 270
},
"LEFT": {
"patternId": "4",
"rotation": 180
},
"RIGHT": {
... | [
{
"patternId": "heart",
"rotation": 270,
"x": 5,
"y": 3
},
{
"patternId": "4",
"rotation": 90,
"x": 4,
"y": 3
},
{
"patternId": "S",
"rotation": 0,
"x": 3,
"y": 3
},
{
"patternId": "B",
"rotation": 270,
"x": 3,
"y": 2
},
{
"patternI... | [
"LEFT",
"TOP",
"BACK",
"BOTTOM",
"RIGHT",
"TOP"
] | [
"LEFT",
"TOP",
"BACK",
"BOTTOM",
"RIGHT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "S",
"rotation": 180
},
"BOTTOM": {
"patternId": "heart",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "B",
"rotation": 90
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "S",
"rotation": 180
},
"BOTTOM": {
"patternId": "heart",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "B",
"rotation": 90
},
"LEFT": {
"patternId": "4",
"rotation": 270
},
"RIGHT": {
"pa... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C284 |
C285 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> S -> W -> E -> S -> W -> N
The ... | standard_cross | [
"W",
"S",
"W",
"E",
"S",
"W",
"N"
] | [
{
"patternId": "O",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "6",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "diamond",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C285_path_sequence.png"
} | {
"level_id": 285,
"name": "Reconstruct 285",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-285.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "diamond",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "6",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "S",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": fals... | [
"diamond",
"6",
"S",
"C",
"O",
"arrow_right"
] | 3 | 1 | 5 | 5 | {
"TOP": {
"patternId": "diamond",
"rotation": 270
},
"BOTTOM": {
"patternId": "arrow_right",
"rotation": 270
},
"FRONT": {
"patternId": "6",
"rotation": 90
},
"BACK": {
"patternId": "C",
"rotation": 0
},
"LEFT": {
"patternId": "O",
"rotation": 270
},
"RIGHT... | [
{
"patternId": "arrow_right",
"rotation": 270,
"x": 3,
"y": 1
},
{
"patternId": "O",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId": "6",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "diamond",
"rotation": 180,
"x": 1,
"y": 2
},
{
... | [
"LEFT",
"FRONT",
"TOP",
"FRONT",
"RIGHT",
"TOP",
"FRONT"
] | [
"LEFT",
"FRONT",
"TOP",
"RIGHT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "diamond",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "6",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "diamond",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "6",
"rotation": 90
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "O",
"rotation": 0
},
"RIGHT": {
"patt... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C285 |
C286 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> S -> W -> N -> E -> E
The puzzl... | standard_cross | [
"W",
"S",
"W",
"N",
"E",
"E"
] | [
{
"patternId": "3",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "smile",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "circle",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": tru... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C286_path_sequence.png"
} | {
"level_id": 286,
"name": "Reconstruct 286",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-286.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "circle",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "smile",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "O",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": ... | [
"circle",
"smile",
"O",
"R",
"3",
"T"
] | 3 | 1 | 5 | 4 | {
"TOP": {
"patternId": "circle",
"rotation": 90
},
"BOTTOM": {
"patternId": "T",
"rotation": 90
},
"FRONT": {
"patternId": "smile",
"rotation": 270
},
"BACK": {
"patternId": "R",
"rotation": 270
},
"LEFT": {
"patternId": "3",
"rotation": 270
},
"RIGHT": {
... | [
{
"patternId": "T",
"rotation": 90,
"x": 3,
"y": 1
},
{
"patternId": "3",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId": "smile",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId": "circle",
"rotation": 0,
"x": 1,
"y": 2
},
{
"pat... | [
"LEFT",
"FRONT",
"TOP",
"LEFT",
"FRONT",
"RIGHT"
] | [
"LEFT",
"FRONT",
"TOP",
"RIGHT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "circle",
"rotation": 90
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "smile",
"rotation": 270
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId"... | {
"TOP": {
"patternId": "circle",
"rotation": 90
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "smile",
"rotation": 270
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "3",
"rotation": 0
},
"RIGHT": {
"p... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C286 |
C287 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> N -> W -> E -> N -> W
The puzzl... | standard_cross | [
"W",
"N",
"W",
"E",
"N",
"W"
] | [
{
"patternId": "I",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_left",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "K",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C287_path_sequence.png"
} | {
"level_id": 287,
"name": "Reconstruct 287",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-287.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "K",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "circle",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "D",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": fal... | [
"K",
"circle",
"D",
"arrow_left",
"I",
"J"
] | 3 | 3 | 5 | 5 | {
"TOP": {
"patternId": "K",
"rotation": 270
},
"BOTTOM": {
"patternId": "J",
"rotation": 180
},
"FRONT": {
"patternId": "circle",
"rotation": 270
},
"BACK": {
"patternId": "arrow_left",
"rotation": 270
},
"LEFT": {
"patternId": "I",
"rotation": 180
},
"RIGH... | [
{
"patternId": "J",
"rotation": 180,
"x": 3,
"y": 3
},
{
"patternId": "I",
"rotation": 90,
"x": 2,
"y": 3
},
{
"patternId": "arrow_left",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId": "K",
"rotation": 0,
"x": 1,
"y": 2
},
{
"pat... | [
"LEFT",
"BACK",
"TOP",
"BACK",
"RIGHT",
"TOP"
] | [
"LEFT",
"BACK",
"TOP",
"RIGHT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "K",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "arrow_left",
"rotation": 90
},
"LEFT": {
"patternId"... | {
"TOP": {
"patternId": "K",
"rotation": 270
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "arrow_left",
"rotation": 90
},
"LEFT": {
"patternId": "I",
"rotation": 270
},
"RIGHT": {
... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C287 |
C288 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> S -> E -> E -> N -> N
The puzzl... | standard_cross | [
"W",
"S",
"E",
"E",
"N",
"N"
] | [
{
"patternId": "R",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "plus",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "9",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C288_path_sequence.png"
} | {
"level_id": 288,
"name": "Reconstruct 288",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-288.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "T",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "plus",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "4",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
... | [
"T",
"plus",
"4",
"9",
"R",
"9"
] | 2 | 2 | 5 | 5 | {
"TOP": {
"patternId": "T",
"rotation": 0
},
"BOTTOM": {
"patternId": "9",
"rotation": 90
},
"FRONT": {
"patternId": "plus",
"rotation": 180
},
"BACK": {
"patternId": "9",
"rotation": 180
},
"LEFT": {
"patternId": "R",
"rotation": 270
},
"RIGHT": {
"pat... | [
{
"patternId": "9",
"rotation": 90,
"x": 2,
"y": 2
},
{
"patternId": "R",
"rotation": 180,
"x": 1,
"y": 2
},
{
"patternId": "plus",
"rotation": 90,
"x": 1,
"y": 3
},
{
"patternId": "9",
"rotation": 0,
"x": 2,
"y": 3
},
{
"patternId"... | [
"LEFT",
"FRONT",
"BOTTOM",
"BACK",
"LEFT",
"FRONT"
] | [
"LEFT",
"FRONT",
"BOTTOM",
"BACK"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "9",
"rotation": 90
},
"FRONT": {
"patternId": "plus",
"rotation": 180
},
"BACK": {
"patternId": "9",
"rotation": 0
},
"LEFT": {
"patternId": "R",... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "9",
"rotation": 90
},
"FRONT": {
"patternId": "plus",
"rotation": 180
},
"BACK": {
"patternId": "9",
"rotation": 0
},
"LEFT": {
"patternId": "R",
"rotation": 0
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C288 |
C289 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> W -> N -> E -> E -> W
The puzzl... | standard_cross | [
"N",
"W",
"N",
"E",
"E",
"W"
] | [
{
"patternId": "M",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "Q",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "E",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C289_path_sequence.png"
} | {
"level_id": 289,
"name": "Reconstruct 289",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-289.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "E",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "B",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "arrow_right",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": fal... | [
"E",
"B",
"arrow_right",
"M",
"Q",
"arrow_up"
] | 2 | 3 | 5 | 5 | {
"TOP": {
"patternId": "E",
"rotation": 0
},
"BOTTOM": {
"patternId": "arrow_up",
"rotation": 0
},
"FRONT": {
"patternId": "B",
"rotation": 0
},
"BACK": {
"patternId": "M",
"rotation": 180
},
"LEFT": {
"patternId": "Q",
"rotation": 90
},
"RIGHT": {
"pat... | [
{
"patternId": "arrow_up",
"rotation": 0,
"x": 2,
"y": 3
},
{
"patternId": "M",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "Q",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "E",
"rotation": 90,
"x": 1,
"y": 1
},
{
"pattern... | [
"BACK",
"LEFT",
"TOP",
"BACK",
"BOTTOM",
"BACK"
] | [
"BACK",
"LEFT",
"TOP",
"BOTTOM"
] | 4 | {
"faces": {
"TOP": {
"patternId": "E",
"rotation": 0
},
"BOTTOM": {
"patternId": "arrow_up",
"rotation": 0
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "M",
"rotation": 0
},
"LEFT": {
"patternId": "Q"... | {
"TOP": {
"patternId": "E",
"rotation": 0
},
"BOTTOM": {
"patternId": "arrow_up",
"rotation": 0
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "M",
"rotation": 0
},
"LEFT": {
"patternId": "Q",
"rotation": 180
},
"RIGHT": {
"patt... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C289 |
C290 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> S -> E -> S -> S -> S
The puzzl... | standard_cross | [
"S",
"S",
"E",
"S",
"S",
"S"
] | [
{
"patternId": "J",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "arrow_up",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "K",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
}... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C290_path_sequence.png"
} | {
"level_id": 290,
"name": "Reconstruct 290",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-290.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "arrow_up",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "J",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "K",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
... | [
"arrow_up",
"J",
"K",
"P",
"J",
"arrow_left"
] | 1 | 1 | 4 | 8 | {
"TOP": {
"patternId": "arrow_up",
"rotation": 0
},
"BOTTOM": {
"patternId": "arrow_left",
"rotation": 180
},
"FRONT": {
"patternId": "J",
"rotation": 90
},
"BACK": {
"patternId": "P",
"rotation": 270
},
"LEFT": {
"patternId": "J",
"rotation": 180
},
"RIGHT... | [
{
"patternId": "arrow_left",
"rotation": 180,
"x": 1,
"y": 1
},
{
"patternId": "J",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "arrow_up",
"rotation": 0,
"x": 1,
"y": 3
},
{
"patternId": "K",
"rotation": 0,
"x": 2,
"y": 3
},
{
... | [
"FRONT",
"TOP",
"RIGHT",
"BACK",
"LEFT",
"FRONT"
] | [
"FRONT",
"TOP",
"RIGHT",
"BACK",
"LEFT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "arrow_up",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "J",
"rotation": 90
},
"BACK": {
"patternId": "P",
"rotation": 90
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "arrow_up",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "J",
"rotation": 90
},
"BACK": {
"patternId": "P",
"rotation": 90
},
"LEFT": {
"patternId": "J",
"rotation": 270
},
"RIGHT": {
"pa... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C290 |
C291 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> W -> S -> S -> S -> W
The puzzl... | standard_cross | [
"S",
"W",
"S",
"S",
"S",
"W"
] | [
{
"patternId": "J",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "6",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C291_path_sequence.png"
} | {
"level_id": 291,
"name": "Reconstruct 291",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-291.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "6",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "J",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "G",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},... | [
"6",
"J",
"G",
"plus",
"C",
"star"
] | 3 | 1 | 5 | 7 | {
"TOP": {
"patternId": "6",
"rotation": 90
},
"BOTTOM": {
"patternId": "star",
"rotation": 0
},
"FRONT": {
"patternId": "J",
"rotation": 90
},
"BACK": {
"patternId": "plus",
"rotation": 270
},
"LEFT": {
"patternId": "C",
"rotation": 270
},
"RIGHT": {
"p... | [
{
"patternId": "star",
"rotation": 0,
"x": 3,
"y": 1
},
{
"patternId": "J",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "C",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "6",
"rotation": 0,
"x": 2,
"y": 3
},
{
"patternId":... | [
"FRONT",
"LEFT",
"TOP",
"RIGHT",
"BOTTOM",
"BACK"
] | [
"FRONT",
"LEFT",
"TOP",
"RIGHT",
"BOTTOM",
"BACK"
] | 6 | {
"faces": {
"TOP": {
"patternId": "6",
"rotation": 90
},
"BOTTOM": {
"patternId": "star",
"rotation": 0
},
"FRONT": {
"patternId": "J",
"rotation": 90
},
"BACK": {
"patternId": "plus",
"rotation": 90
},
"LEFT": {
"patternId": "... | {
"TOP": {
"patternId": "6",
"rotation": 90
},
"BOTTOM": {
"patternId": "star",
"rotation": 0
},
"FRONT": {
"patternId": "J",
"rotation": 90
},
"BACK": {
"patternId": "plus",
"rotation": 90
},
"LEFT": {
"patternId": "C",
"rotation": 0
},
"RIGHT": {
"patt... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C291 |
C292 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> W -> S -> W -> N -> N -> E
The ... | standard_cross | [
"W",
"W",
"S",
"W",
"N",
"N",
"E"
] | [
{
"patternId": "7",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "K",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "I",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C292_path_sequence.png"
} | {
"level_id": 292,
"name": "Reconstruct 292",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-292.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "K",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "I",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "S",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},... | [
"K",
"I",
"S",
"H",
"7",
"smile"
] | 4 | 2 | 6 | 5 | {
"TOP": {
"patternId": "K",
"rotation": 180
},
"BOTTOM": {
"patternId": "smile",
"rotation": 0
},
"FRONT": {
"patternId": "I",
"rotation": 0
},
"BACK": {
"patternId": "H",
"rotation": 270
},
"LEFT": {
"patternId": "7",
"rotation": 270
},
"RIGHT": {
"pat... | [
{
"patternId": "smile",
"rotation": 0,
"x": 4,
"y": 2
},
{
"patternId": "7",
"rotation": 180,
"x": 3,
"y": 2
},
{
"patternId": "K",
"rotation": 0,
"x": 2,
"y": 2
},
{
"patternId": "I",
"rotation": 180,
"x": 2,
"y": 3
},
{
"patternId... | [
"LEFT",
"TOP",
"FRONT",
"RIGHT",
"TOP",
"LEFT",
"FRONT"
] | [
"LEFT",
"TOP",
"FRONT",
"RIGHT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "K",
"rotation": 180
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "I",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "7",
... | {
"TOP": {
"patternId": "K",
"rotation": 180
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "I",
"rotation": 0
},
"BACK": {
"patternId": "?",
"rotation": 0
},
"LEFT": {
"patternId": "7",
"rotation": 0
},
"RIGHT": {
"patternId":... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C292 |
C293 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> S -> E -> E -> N -> E
The puzzl... | standard_cross | [
"W",
"S",
"E",
"E",
"N",
"E"
] | [
{
"patternId": "5",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "K",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "7",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C293_path_sequence.png"
} | {
"level_id": 293,
"name": "Reconstruct 293",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-293.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "D",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "K",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "6",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"D",
"K",
"6",
"D",
"5",
"7"
] | 2 | 1 | 6 | 4 | {
"TOP": {
"patternId": "D",
"rotation": 180
},
"BOTTOM": {
"patternId": "7",
"rotation": 270
},
"FRONT": {
"patternId": "K",
"rotation": 0
},
"BACK": {
"patternId": "D",
"rotation": 90
},
"LEFT": {
"patternId": "5",
"rotation": 270
},
"RIGHT": {
"patter... | [
{
"patternId": "7",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": "5",
"rotation": 180,
"x": 1,
"y": 1
},
{
"patternId": "K",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "7",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId... | [
"LEFT",
"FRONT",
"BOTTOM",
"BACK",
"LEFT",
"TOP"
] | [
"LEFT",
"FRONT",
"BOTTOM",
"BACK",
"TOP"
] | 5 | {
"faces": {
"TOP": {
"patternId": "D",
"rotation": 180
},
"BOTTOM": {
"patternId": "7",
"rotation": 270
},
"FRONT": {
"patternId": "K",
"rotation": 0
},
"BACK": {
"patternId": "D",
"rotation": 270
},
"LEFT": {
"patternId": "5",... | {
"TOP": {
"patternId": "D",
"rotation": 180
},
"BOTTOM": {
"patternId": "7",
"rotation": 270
},
"FRONT": {
"patternId": "K",
"rotation": 0
},
"BACK": {
"patternId": "D",
"rotation": 270
},
"LEFT": {
"patternId": "5",
"rotation": 0
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C293 |
C294 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: W -> N -> E -> S -> E -> S -> N
The ... | standard_cross | [
"W",
"N",
"E",
"S",
"E",
"S",
"N"
] | [
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "4",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "3",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C294_path_sequence.png"
} | {
"level_id": 294,
"name": "Reconstruct 294",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-294.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "P",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Q",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "S",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},... | [
"P",
"Q",
"S",
"4",
"3",
"3"
] | 2 | 2 | 5 | 5 | {
"TOP": {
"patternId": "P",
"rotation": 270
},
"BOTTOM": {
"patternId": "3",
"rotation": 180
},
"FRONT": {
"patternId": "Q",
"rotation": 90
},
"BACK": {
"patternId": "4",
"rotation": 90
},
"LEFT": {
"patternId": "3",
"rotation": 0
},
"RIGHT": {
"pattern... | [
{
"patternId": "3",
"rotation": 180,
"x": 2,
"y": 2
},
{
"patternId": "3",
"rotation": 270,
"x": 1,
"y": 2
},
{
"patternId": "4",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "3",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId":... | [
"LEFT",
"BACK",
"BOTTOM",
"LEFT",
"FRONT",
"TOP",
"FRONT"
] | [
"LEFT",
"BACK",
"BOTTOM",
"FRONT",
"TOP"
] | 5 | {
"faces": {
"TOP": {
"patternId": "P",
"rotation": 270
},
"BOTTOM": {
"patternId": "3",
"rotation": 180
},
"FRONT": {
"patternId": "Q",
"rotation": 90
},
"BACK": {
"patternId": "4",
"rotation": 270
},
"LEFT": {
"patternId": "3"... | {
"TOP": {
"patternId": "P",
"rotation": 270
},
"BOTTOM": {
"patternId": "3",
"rotation": 180
},
"FRONT": {
"patternId": "Q",
"rotation": 90
},
"BACK": {
"patternId": "4",
"rotation": 270
},
"LEFT": {
"patternId": "3",
"rotation": 90
},
"RIGHT": {
"patte... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C294 |
C295 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: E -> W -> N -> W -> S -> S -> S
The ... | standard_cross | [
"E",
"W",
"N",
"W",
"S",
"S",
"S"
] | [
{
"patternId": "K",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "Q",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C295_path_sequence.png"
} | {
"level_id": 295,
"name": "Reconstruct 295",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-295.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "2",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "U",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "K",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},... | [
"2",
"U",
"K",
"C",
"O",
"Q"
] | 2 | 2 | 5 | 6 | {
"TOP": {
"patternId": "2",
"rotation": 0
},
"BOTTOM": {
"patternId": "Q",
"rotation": 270
},
"FRONT": {
"patternId": "U",
"rotation": 180
},
"BACK": {
"patternId": "C",
"rotation": 0
},
"LEFT": {
"patternId": "O",
"rotation": 180
},
"RIGHT": {
"pattern... | [
{
"patternId": "Q",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "K",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "Q",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "C",
"rotation": 180,
"x": 2,
"y": 1
},
{
"patternId"... | [
"RIGHT",
"BOTTOM",
"BACK",
"LEFT",
"BOTTOM",
"RIGHT",
"TOP"
] | [
"RIGHT",
"BOTTOM",
"BACK",
"LEFT",
"TOP"
] | 5 | {
"faces": {
"TOP": {
"patternId": "2",
"rotation": 0
},
"BOTTOM": {
"patternId": "Q",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "C",
"rotation": 180
},
"LEFT": {
"patternId": "O",
... | {
"TOP": {
"patternId": "2",
"rotation": 0
},
"BOTTOM": {
"patternId": "Q",
"rotation": 270
},
"FRONT": {
"patternId": "?",
"rotation": 0
},
"BACK": {
"patternId": "C",
"rotation": 180
},
"LEFT": {
"patternId": "O",
"rotation": 270
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C295 |
C296 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> W -> S -> W -> W -> N -> S
The ... | standard_cross | [
"S",
"W",
"S",
"W",
"W",
"N",
"S"
] | [
{
"patternId": "7",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "3",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "R",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C296_path_sequence.png"
} | {
"level_id": 296,
"name": "Reconstruct 296",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-296.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "R",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "7",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "diamond",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": fals... | [
"R",
"7",
"diamond",
"D",
"3",
"M"
] | 4 | 1 | 6 | 5 | {
"TOP": {
"patternId": "R",
"rotation": 90
},
"BOTTOM": {
"patternId": "M",
"rotation": 180
},
"FRONT": {
"patternId": "7",
"rotation": 90
},
"BACK": {
"patternId": "D",
"rotation": 180
},
"LEFT": {
"patternId": "3",
"rotation": 90
},
"RIGHT": {
"patter... | [
{
"patternId": "M",
"rotation": 180,
"x": 4,
"y": 1
},
{
"patternId": "7",
"rotation": 90,
"x": 4,
"y": 2
},
{
"patternId": "3",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "R",
"rotation": 0,
"x": 3,
"y": 3
},
{
"patternId": "... | [
"FRONT",
"LEFT",
"TOP",
"BACK",
"BOTTOM",
"LEFT",
"BOTTOM"
] | [
"FRONT",
"LEFT",
"TOP",
"BACK",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "R",
"rotation": 90
},
"BOTTOM": {
"patternId": "M",
"rotation": 180
},
"FRONT": {
"patternId": "7",
"rotation": 90
},
"BACK": {
"patternId": "D",
"rotation": 0
},
"LEFT": {
"patternId": "3",
... | {
"TOP": {
"patternId": "R",
"rotation": 90
},
"BOTTOM": {
"patternId": "M",
"rotation": 180
},
"FRONT": {
"patternId": "7",
"rotation": 90
},
"BACK": {
"patternId": "D",
"rotation": 0
},
"LEFT": {
"patternId": "3",
"rotation": 180
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C296 |
C297 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> W -> W -> E -> E -> E
The puzzl... | standard_cross | [
"N",
"W",
"W",
"E",
"E",
"E"
] | [
{
"patternId": "6",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "8",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "C",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C297_path_sequence.png"
} | {
"level_id": 297,
"name": "Reconstruct 297",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-297.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "9",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "C",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "M",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
... | [
"9",
"C",
"M",
"6",
"8",
"9"
] | 3 | 2 | 6 | 4 | {
"TOP": {
"patternId": "9",
"rotation": 180
},
"BOTTOM": {
"patternId": "9",
"rotation": 90
},
"FRONT": {
"patternId": "C",
"rotation": 270
},
"BACK": {
"patternId": "6",
"rotation": 180
},
"LEFT": {
"patternId": "8",
"rotation": 180
},
"RIGHT": {
"patt... | [
{
"patternId": "9",
"rotation": 90,
"x": 3,
"y": 2
},
{
"patternId": "6",
"rotation": 0,
"x": 3,
"y": 1
},
{
"patternId": "8",
"rotation": 0,
"x": 2,
"y": 1
},
{
"patternId": "C",
"rotation": 90,
"x": 1,
"y": 1
},
{
"patternId": "8"... | [
"BACK",
"LEFT",
"FRONT",
"LEFT",
"BACK",
"RIGHT"
] | [
"BACK",
"LEFT",
"FRONT",
"RIGHT"
] | 4 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "C",
"rotation": 270
},
"BACK": {
"patternId": "6",
"rotation": 0
},
"LEFT": {
"patternId": "8",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "?",
"rotation": 0
},
"FRONT": {
"patternId": "C",
"rotation": 270
},
"BACK": {
"patternId": "6",
"rotation": 0
},
"LEFT": {
"patternId": "8",
"rotation": 270
},
"RIGHT": {
"patternId... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C297 |
C298 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> W -> W -> W -> N -> W
The puzzl... | standard_cross | [
"S",
"W",
"W",
"W",
"N",
"W"
] | [
{
"patternId": "M",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "M",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "5",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": true
},
{
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C298_path_sequence.png"
} | {
"level_id": 298,
"name": "Reconstruct 298",
"difficulty": 3,
"move_count": 6,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-298.json",
"tier_label": "Difficulty 3"
} | 6-move reconstruct puzzle | [
{
"patternId": "Q",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "M",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "T",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": false
},... | [
"Q",
"M",
"T",
"5",
"M",
"I"
] | 5 | 1 | 7 | 4 | {
"TOP": {
"patternId": "Q",
"rotation": 0
},
"BOTTOM": {
"patternId": "I",
"rotation": 270
},
"FRONT": {
"patternId": "M",
"rotation": 180
},
"BACK": {
"patternId": "5",
"rotation": 0
},
"LEFT": {
"patternId": "M",
"rotation": 0
},
"RIGHT": {
"patternId... | [
{
"patternId": "I",
"rotation": 270,
"x": 5,
"y": 1
},
{
"patternId": "M",
"rotation": 180,
"x": 5,
"y": 2
},
{
"patternId": "M",
"rotation": 0,
"x": 4,
"y": 2
},
{
"patternId": "5",
"rotation": 0,
"x": 3,
"y": 2
},
{
"patternId": "... | [
"FRONT",
"LEFT",
"BACK",
"RIGHT",
"BOTTOM",
"FRONT"
] | [
"FRONT",
"LEFT",
"BACK",
"RIGHT",
"BOTTOM"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "I",
"rotation": 270
},
"FRONT": {
"patternId": "M",
"rotation": 180
},
"BACK": {
"patternId": "5",
"rotation": 180
},
"LEFT": {
"patternId": "M",... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "I",
"rotation": 270
},
"FRONT": {
"patternId": "M",
"rotation": 180
},
"BACK": {
"patternId": "5",
"rotation": 180
},
"LEFT": {
"patternId": "M",
"rotation": 90
},
"RIGHT": {
"patter... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C298 |
C299 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: S -> E -> N -> S -> E -> E -> E
The ... | standard_cross | [
"S",
"E",
"N",
"S",
"E",
"E",
"E"
] | [
{
"patternId": "Y",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "G",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "T",
"rotation": 270,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C299_path_sequence.png"
} | {
"level_id": 299,
"name": "Reconstruct 299",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-299.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "O",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Y",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "G",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": false
}... | [
"O",
"Y",
"G",
"C",
"G",
"T"
] | 1 | 1 | 7 | 4 | {
"TOP": {
"patternId": "O",
"rotation": 180
},
"BOTTOM": {
"patternId": "T",
"rotation": 0
},
"FRONT": {
"patternId": "Y",
"rotation": 90
},
"BACK": {
"patternId": "C",
"rotation": 270
},
"LEFT": {
"patternId": "G",
"rotation": 90
},
"RIGHT": {
"pattern... | [
{
"patternId": "T",
"rotation": 0,
"x": 1,
"y": 1
},
{
"patternId": "Y",
"rotation": 90,
"x": 1,
"y": 2
},
{
"patternId": "G",
"rotation": 270,
"x": 2,
"y": 2
},
{
"patternId": "T",
"rotation": 270,
"x": 2,
"y": 1
},
{
"patternId": ... | [
"FRONT",
"RIGHT",
"BOTTOM",
"RIGHT",
"BACK",
"LEFT",
"FRONT"
] | [
"FRONT",
"RIGHT",
"BOTTOM",
"BACK",
"LEFT"
] | 5 | {
"faces": {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "T",
"rotation": 0
},
"FRONT": {
"patternId": "Y",
"rotation": 90
},
"BACK": {
"patternId": "C",
"rotation": 90
},
"LEFT": {
"patternId": "G",
... | {
"TOP": {
"patternId": "?",
"rotation": 0
},
"BOTTOM": {
"patternId": "T",
"rotation": 0
},
"FRONT": {
"patternId": "Y",
"rotation": 90
},
"BACK": {
"patternId": "C",
"rotation": 90
},
"LEFT": {
"patternId": "G",
"rotation": 180
},
"RIGHT": {
"patternId... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C299 |
C300 | Task: reconstruct the six outer faces of the cube from the blank cross net image and the path-view observation image.
The net uses the fixed face names TOP, BOTTOM, FRONT, BACK, LEFT, RIGHT.
If a face cannot be uniquely determined, output patternId='?' and rotation=0.
Roll sequence: N -> N -> W -> E -> N -> E -> N
The ... | standard_cross | [
"N",
"N",
"W",
"E",
"N",
"E",
"N"
] | [
{
"patternId": "R",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "N",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": true
},
{
"patternId": "5",
"rotation": 180,
"flipHorizontal": false,
"flipVertical": true
},
... | {
"blank_net_image": "images/blank_nets/open.png",
"path_sequence_image": "images/path_sequences/C300_path_sequence.png"
} | {
"level_id": 300,
"name": "Reconstruct 300",
"difficulty": 3,
"move_count": 7,
"tier": 3,
"source_level_path": "levels/reconstruct/generated-300.json",
"tier_label": "Difficulty 3"
} | 7-move reconstruct puzzle | [
{
"patternId": "N",
"rotation": 90,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "Q",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
{
"patternId": "5",
"rotation": 0,
"flipHorizontal": false,
"flipVertical": false
},
... | [
"N",
"Q",
"5",
"R",
"5",
"S"
] | 2 | 5 | 5 | 7 | {
"TOP": {
"patternId": "N",
"rotation": 90
},
"BOTTOM": {
"patternId": "S",
"rotation": 270
},
"FRONT": {
"patternId": "Q",
"rotation": 0
},
"BACK": {
"patternId": "R",
"rotation": 270
},
"LEFT": {
"patternId": "5",
"rotation": 90
},
"RIGHT": {
"pattern... | [
{
"patternId": "S",
"rotation": 270,
"x": 2,
"y": 5
},
{
"patternId": "R",
"rotation": 90,
"x": 2,
"y": 4
},
{
"patternId": "N",
"rotation": 90,
"x": 2,
"y": 3
},
{
"patternId": "5",
"rotation": 180,
"x": 1,
"y": 3
},
{
"patternId":... | [
"BACK",
"TOP",
"LEFT",
"TOP",
"FRONT",
"RIGHT",
"BOTTOM"
] | [
"BACK",
"TOP",
"LEFT",
"FRONT",
"RIGHT",
"BOTTOM"
] | 6 | {
"faces": {
"TOP": {
"patternId": "N",
"rotation": 90
},
"BOTTOM": {
"patternId": "S",
"rotation": 270
},
"FRONT": {
"patternId": "Q",
"rotation": 0
},
"BACK": {
"patternId": "R",
"rotation": 90
},
"LEFT": {
"patternId": "5",
... | {
"TOP": {
"patternId": "N",
"rotation": 90
},
"BOTTOM": {
"patternId": "S",
"rotation": 270
},
"FRONT": {
"patternId": "Q",
"rotation": 0
},
"BACK": {
"patternId": "R",
"rotation": 90
},
"LEFT": {
"patternId": "5",
"rotation": 180
},
"RIGHT": {
"pattern... | {
"system": "You are a cube-reconstruction puzzle solver. Given a blank cross net of a cube and a top-down path image showing the bottom-face imprints stamped onto the road as the cube rolls, you reconstruct the patternId and rotation of every outer face.\n\nYou will receive: (a) one blank cross-net image (the unfold... | C300 |
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