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 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.