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
C501
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 -> S -> W -> W -> N...
standard_cross
[ "W", "W", "W", "S", "S", "W", "W", "N", "E", "E" ]
[ { "patternId": "A", "rotation": 270, "flipHorizontal": false, "flipVertical": true }, { "patternId": "W", "rotation": 180, "flipHorizontal": false, "flipVertical": true }, { "patternId": "arrow_right", "rotation": 0, "flipHorizontal": false, "flipVertical": tr...
{ "blank_net_image": "images/blank_nets/open.png", "path_sequence_image": "images/path_sequences/C501_path_sequence.png" }
{ "level_id": 501, "name": "Reconstruct 501", "difficulty": 5, "move_count": 10, "tier": 5, "source_level_path": "levels/reconstruct/generated-501.json", "tier_label": "Difficulty 5" }
10-move reconstruct puzzle
[ { "patternId": "W", "rotation": 0, "flipHorizontal": false, "flipVertical": false }, { "patternId": "arrow_left", "rotation": 0, "flipHorizontal": false, "flipVertical": false }, { "patternId": "arrow_right", "rotation": 180, "flipHorizontal": false, "flipVert...
[ "W", "arrow_left", "arrow_right", "J", "A", "square" ]
6
1
8
5
{ "TOP": { "patternId": "W", "rotation": 0 }, "BOTTOM": { "patternId": "square", "rotation": 0 }, "FRONT": { "patternId": "arrow_left", "rotation": 0 }, "BACK": { "patternId": "J", "rotation": 180 }, "LEFT": { "patternId": "A", "rotation": 0 }, "RIGHT": { ...
[ { "patternId": "square", "rotation": 0, "x": 6, "y": 1 }, { "patternId": "A", "rotation": 270, "x": 5, "y": 1 }, { "patternId": "W", "rotation": 180, "x": 4, "y": 1 }, { "patternId": "arrow_right", "rotation": 0, "x": 3, "y": 1 }, { ...
[ "LEFT", "TOP", "RIGHT", "FRONT", "LEFT", "BOTTOM", "RIGHT", "FRONT", "BOTTOM", "BACK" ]
[ "LEFT", "TOP", "RIGHT", "FRONT", "BOTTOM", "BACK" ]
6
{ "faces": { "TOP": { "patternId": "W", "rotation": 0 }, "BOTTOM": { "patternId": "square", "rotation": 0 }, "FRONT": { "patternId": "arrow_left", "rotation": 0 }, "BACK": { "patternId": "J", "rotation": 0 }, "LEFT": { "patternI...
{ "TOP": { "patternId": "W", "rotation": 0 }, "BOTTOM": { "patternId": "square", "rotation": 0 }, "FRONT": { "patternId": "arrow_left", "rotation": 0 }, "BACK": { "patternId": "J", "rotation": 0 }, "LEFT": { "patternId": "A", "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...
C501
C502
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 -> E -> E -> W -> S -> E...
standard_cross
[ "N", "E", "N", "E", "E", "W", "S", "E", "E", "S" ]
[ { "patternId": "F", "rotation": 270, "flipHorizontal": false, "flipVertical": true }, { "patternId": "arrow_right", "rotation": 180, "flipHorizontal": false, "flipVertical": true }, { "patternId": "A", "rotation": 0, "flipHorizontal": false, "flipVertical": tr...
{ "blank_net_image": "images/blank_nets/open.png", "path_sequence_image": "images/path_sequences/C502_path_sequence.png" }
{ "level_id": 502, "name": "Reconstruct 502", "difficulty": 5, "move_count": 10, "tier": 5, "source_level_path": "levels/reconstruct/generated-502.json", "tier_label": "Difficulty 5" }
10-move reconstruct puzzle
[ { "patternId": "A", "rotation": 90, "flipHorizontal": false, "flipVertical": false }, { "patternId": "G", "rotation": 90, "flipHorizontal": false, "flipVertical": false }, { "patternId": "arrow_right", "rotation": 270, "flipHorizontal": false, "flipVertical": ...
[ "A", "G", "arrow_right", "F", "S", "C" ]
1
3
7
5
{ "TOP": { "patternId": "A", "rotation": 90 }, "BOTTOM": { "patternId": "C", "rotation": 90 }, "FRONT": { "patternId": "G", "rotation": 90 }, "BACK": { "patternId": "F", "rotation": 90 }, "LEFT": { "patternId": "S", "rotation": 180 }, "RIGHT": { "pattern...
[ { "patternId": "C", "rotation": 90, "x": 1, "y": 3 }, { "patternId": "F", "rotation": 270, "x": 1, "y": 2 }, { "patternId": "arrow_right", "rotation": 180, "x": 2, "y": 2 }, { "patternId": "A", "rotation": 0, "x": 2, "y": 1 }, { "pa...
[ "BACK", "RIGHT", "TOP", "FRONT", "BOTTOM", "FRONT", "RIGHT", "BOTTOM", "LEFT", "BACK" ]
[ "BACK", "RIGHT", "TOP", "FRONT", "BOTTOM", "LEFT" ]
6
{ "faces": { "TOP": { "patternId": "A", "rotation": 90 }, "BOTTOM": { "patternId": "C", "rotation": 90 }, "FRONT": { "patternId": "G", "rotation": 90 }, "BACK": { "patternId": "F", "rotation": 270 }, "LEFT": { "patternId": "S", ...
{ "TOP": { "patternId": "A", "rotation": 90 }, "BOTTOM": { "patternId": "C", "rotation": 90 }, "FRONT": { "patternId": "G", "rotation": 90 }, "BACK": { "patternId": "F", "rotation": 270 }, "LEFT": { "patternId": "S", "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...
C502