board listlengths 9 9 | scramble_depth int64 1 31 | bucket stringclasses 3
values | action_interface stringclasses 1
value | optimal_actions listlengths 1 31 | optimal_length int64 1 31 |
|---|---|---|---|---|---|
[
1,
2,
3,
4,
5,
0,
7,
8,
6
] | 1 | easy | tile_id_v1 | [
6
] | 1 |
[
1,
2,
3,
4,
5,
6,
7,
0,
8
] | 1 | easy | tile_id_v1 | [
8
] | 1 |
[
1,
2,
0,
4,
5,
3,
7,
8,
6
] | 2 | easy | tile_id_v1 | [
3,
6
] | 2 |
[
1,
2,
3,
4,
0,
6,
7,
5,
8
] | 2 | easy | tile_id_v1 | [
5,
8
] | 2 |
[
1,
0,
3,
4,
2,
5,
7,
8,
6
] | 3 | easy | tile_id_v1 | [
2,
5,
6
] | 3 |
[
1,
2,
3,
0,
4,
5,
7,
8,
6
] | 3 | easy | tile_id_v1 | [
4,
5,
6
] | 3 |
[
0,
2,
3,
1,
4,
5,
7,
8,
6
] | 4 | easy | tile_id_v1 | [
1,
4,
5,
6
] | 4 |
[
1,
2,
3,
5,
0,
6,
4,
7,
8
] | 4 | easy | tile_id_v1 | [
5,
4,
7,
8
] | 4 |
[
1,
2,
3,
0,
8,
5,
4,
7,
6
] | 5 | easy | tile_id_v1 | [
4,
7,
8,
5,
6
] | 5 |
[
4,
1,
2,
0,
5,
3,
7,
8,
6
] | 5 | easy | tile_id_v1 | [
4,
1,
2,
3,
6
] | 5 |
[
0,
5,
2,
1,
4,
3,
7,
8,
6
] | 6 | easy | tile_id_v1 | [
1,
4,
5,
2,
3,
6
] | 6 |
[
2,
3,
0,
1,
5,
6,
4,
7,
8
] | 6 | easy | tile_id_v1 | [
3,
2,
1,
4,
7,
8
] | 6 |
[
1,
0,
2,
5,
6,
3,
4,
7,
8
] | 7 | easy | tile_id_v1 | [
2,
3,
6,
5,
4,
7,
8
] | 7 |
[
1,
0,
3,
8,
2,
5,
4,
7,
6
] | 7 | easy | tile_id_v1 | [
2,
8,
4,
7,
8,
5,
6
] | 7 |
[
1,
2,
3,
5,
6,
8,
0,
4,
7
] | 8 | easy | tile_id_v1 | [
4,
7,
8,
6,
5,
4,
7,
8
] | 8 |
[
1,
2,
3,
7,
0,
4,
5,
8,
6
] | 8 | easy | tile_id_v1 | [
4,
6,
8,
5,
7,
4,
5,
8
] | 8 |
[
1,
0,
2,
7,
6,
3,
5,
4,
8
] | 9 | easy | tile_id_v1 | [
2,
3,
6,
4,
5,
7,
4,
5,
8
] | 9 |
[
4,
1,
3,
7,
5,
0,
8,
2,
6
] | 9 | easy | tile_id_v1 | [
5,
2,
8,
7,
4,
1,
2,
5,
6
] | 9 |
[
1,
3,
6,
5,
7,
2,
0,
4,
8
] | 10 | easy | tile_id_v1 | [
4,
7,
2,
6,
3,
2,
5,
4,
7,
8
] | 10 |
[
4,
1,
3,
2,
0,
8,
7,
6,
5
] | 10 | easy | tile_id_v1 | [
8,
5,
6,
8,
2,
4,
1,
2,
5,
6
] | 10 |
[
1,
6,
2,
4,
8,
5,
7,
0,
3
] | 11 | medium | tile_id_v1 | [
8,
5,
3,
8,
5,
6,
2,
3,
6,
5,
8
] | 11 |
[
4,
0,
1,
7,
2,
3,
5,
8,
6
] | 11 | medium | tile_id_v1 | [
1,
3,
6,
8,
5,
7,
4,
1,
2,
5,
8
] | 11 |
[
1,
3,
6,
7,
0,
8,
2,
4,
5
] | 12 | medium | tile_id_v1 | [
4,
2,
7,
4,
2,
5,
8,
6,
3,
2,
5,
8
] | 12 |
[
3,
4,
5,
7,
1,
2,
0,
8,
6
] | 12 | medium | tile_id_v1 | [
7,
1,
4,
3,
1,
4,
2,
5,
3,
2,
5,
6
] | 12 |
[
1,
0,
2,
7,
4,
3,
6,
5,
8
] | 13 | medium | tile_id_v1 | [
2,
3,
8,
5,
6,
7,
4,
8,
5,
6,
8,
5,
6
] | 13 |
[
1,
6,
2,
3,
8,
0,
4,
7,
5
] | 13 | medium | tile_id_v1 | [
8,
3,
4,
7,
5,
8,
3,
6,
2,
3,
6,
5,
8
] | 13 |
[
2,
4,
1,
7,
0,
3,
8,
5,
6
] | 14 | medium | tile_id_v1 | [
5,
8,
7,
2,
4,
1,
3,
5,
2,
4,
1,
2,
5,
6
] | 14 |
[
3,
4,
6,
1,
8,
5,
7,
2,
0
] | 14 | medium | tile_id_v1 | [
5,
8,
4,
3,
1,
4,
2,
5,
8,
6,
3,
2,
5,
8
] | 14 |
[
1,
3,
6,
7,
5,
2,
8,
0,
4
] | 15 | medium | tile_id_v1 | [
5,
2,
6,
3,
2,
5,
4,
6,
5,
4,
8,
7,
4,
5,
6
] | 15 |
[
1,
8,
6,
4,
3,
2,
7,
0,
5
] | 15 | medium | tile_id_v1 | [
3,
8,
6,
2,
8,
3,
5,
8,
3,
6,
2,
3,
6,
5,
8
] | 15 |
[
1,
2,
5,
6,
0,
7,
4,
8,
3
] | 16 | medium | tile_id_v1 | [
7,
3,
8,
7,
6,
1,
2,
5,
3,
6,
5,
2,
1,
4,
7,
8
] | 16 |
[
8,
5,
1,
2,
7,
3,
4,
6,
0
] | 16 | medium | tile_id_v1 | [
6,
7,
5,
1,
3,
5,
2,
8,
1,
2,
8,
4,
7,
8,
5,
6
] | 16 |
[
1,
5,
2,
8,
6,
0,
3,
7,
4
] | 17 | medium | tile_id_v1 | [
6,
7,
3,
8,
7,
3,
4,
6,
3,
4,
8,
7,
4,
5,
2,
3,
6
] | 17 |
[
3,
7,
6,
2,
4,
0,
5,
1,
8
] | 17 | medium | tile_id_v1 | [
4,
7,
3,
2,
7,
1,
5,
7,
1,
4,
6,
3,
2,
1,
4,
5,
8
] | 17 |
[
0,
6,
8,
3,
2,
1,
7,
4,
5
] | 18 | medium | tile_id_v1 | [
3,
2,
1,
8,
6,
3,
2,
1,
4,
5,
8,
6,
3,
2,
1,
4,
5,
8
] | 18 |
[
4,
3,
7,
1,
0,
2,
5,
8,
6
] | 18 | medium | tile_id_v1 | [
3,
7,
2,
3,
7,
4,
1,
7,
4,
2,
3,
6,
8,
5,
7,
4,
5,
8
] | 18 |
[
1,
6,
8,
4,
7,
0,
2,
3,
5
] | 19 | medium | tile_id_v1 | [
8,
6,
1,
4,
7,
3,
2,
7,
4,
1,
3,
2,
5,
8,
6,
3,
2,
5,
8
] | 19 |
[
4,
3,
6,
0,
5,
1,
7,
8,
2
] | 19 | medium | tile_id_v1 | [
7,
8,
5,
1,
6,
3,
1,
5,
2,
6,
5,
2,
8,
7,
4,
1,
2,
5,
6
] | 19 |
[
3,
6,
4,
7,
2,
5,
0,
8,
1
] | 20 | medium | tile_id_v1 | [
7,
2,
5,
1,
8,
5,
1,
4,
6,
3,
2,
1,
4,
6,
3,
2,
1,
4,
5,
8
] | 20 |
[
5,
1,
0,
4,
6,
8,
7,
3,
2
] | 20 | medium | tile_id_v1 | [
1,
6,
3,
2,
8,
3,
6,
1,
3,
6,
2,
7,
4,
5,
1,
2,
5,
4,
7,
8
] | 20 |
[
1,
5,
7,
0,
2,
6,
4,
3,
8
] | 21 | hard | tile_id_v1 | [
2,
3,
8,
6,
7,
5,
3,
7,
6,
8,
7,
2,
4,
7,
8,
6,
5,
3,
2,
5,
6
] | 21 |
[
7,
5,
6,
2,
3,
4,
8,
0,
1
] | 21 | hard | tile_id_v1 | [
1,
4,
6,
5,
3,
1,
4,
6,
5,
3,
1,
2,
7,
1,
2,
4,
8,
7,
4,
5,
6
] | 21 |
[
0,
7,
6,
5,
2,
3,
1,
8,
4
] | 22 | hard | tile_id_v1 | [
7,
2,
3,
4,
8,
1,
5,
7,
2,
3,
1,
5,
7,
1,
4,
6,
3,
2,
1,
4,
5,
8
] | 22 |
[
6,
2,
8,
5,
7,
1,
4,
3,
0
] | 22 | hard | tile_id_v1 | [
3,
7,
1,
8,
2,
6,
5,
1,
6,
5,
1,
4,
7,
6,
8,
3,
6,
8,
5,
2,
3,
6
] | 22 |
[
2,
1,
5,
7,
8,
0,
6,
4,
3
] | 23 | hard | tile_id_v1 | [
8,
4,
6,
7,
4,
8,
3,
6,
8,
1,
5,
3,
6,
8,
7,
4,
1,
5,
2,
1,
4,
7,
8
] | 23 |
[
6,
0,
4,
8,
7,
3,
2,
1,
5
] | 23 | hard | tile_id_v1 | [
6,
8,
2,
1,
7,
6,
8,
2,
1,
7,
6,
8,
4,
3,
5,
6,
8,
4,
2,
1,
4,
5,
6
] | 23 |
[
3,
5,
0,
6,
2,
1,
7,
4,
8
] | 24 | hard | tile_id_v1 | [
5,
3,
6,
2,
1,
5,
3,
6,
2,
1,
6,
3,
5,
6,
4,
8,
6,
5,
3,
2,
1,
4,
5,
6
] | 24 |
[
6,
8,
0,
3,
5,
2,
4,
1,
7
] | 24 | hard | tile_id_v1 | [
2,
5,
1,
7,
5,
2,
8,
6,
3,
1,
2,
8,
6,
3,
1,
4,
7,
5,
8,
6,
3,
2,
5,
8
] | 24 |
[
6,
7,
4,
3,
2,
0,
8,
1,
5
] | 25 | hard | tile_id_v1 | [
2,
3,
6,
7,
4,
2,
3,
1,
8,
6,
7,
4,
1,
8,
6,
7,
4,
1,
2,
3,
5,
6,
8,
5,
6
] | 25 |
[
8,
1,
5,
6,
2,
4,
3,
0,
7
] | 25 | hard | tile_id_v1 | [
7,
4,
2,
6,
8,
1,
5,
2,
6,
7,
3,
8,
7,
3,
4,
6,
3,
4,
8,
7,
4,
5,
2,
3,
6
] | 25 |
[
6,
7,
0,
1,
3,
5,
2,
8,
4
] | 26 | hard | tile_id_v1 | [
5,
3,
7,
6,
1,
7,
3,
5,
6,
3,
8,
4,
5,
8,
4,
2,
7,
4,
2,
5,
8,
6,
3,
2,
5,
8
] | 26 |
[
8,
7,
6,
2,
3,
4,
0,
5,
1
] | 26 | hard | tile_id_v1 | [
2,
8,
7,
3,
4,
6,
3,
4,
5,
1,
6,
5,
1,
2,
8,
7,
4,
1,
2,
8,
7,
4,
1,
2,
5,
6
] | 26 |
[
6,
0,
5,
2,
3,
7,
8,
4,
1
] | 27 | hard | tile_id_v1 | [
3,
7,
5,
3,
6,
2,
7,
6,
3,
5,
6,
4,
1,
6,
4,
1,
8,
7,
1,
4,
5,
3,
2,
1,
4,
5,
6
] | 27 |
[
7,
8,
5,
1,
4,
6,
2,
0,
3
] | 27 | hard | tile_id_v1 | [
4,
8,
7,
1,
2,
4,
8,
7,
5,
6,
3,
8,
7,
3,
6,
5,
3,
2,
4,
7,
8,
6,
5,
3,
2,
5,
6
] | 27 |
[
0,
8,
6,
7,
4,
3,
1,
2,
5
] | 28 | hard | tile_id_v1 | [
8,
6,
3,
5,
2,
4,
7,
1,
4,
7,
6,
8,
1,
4,
7,
6,
8,
3,
5,
2,
6,
8,
2,
5,
3,
2,
5,
6
] | 28 |
[
7,
5,
0,
4,
8,
6,
2,
3,
1
] | 28 | hard | tile_id_v1 | [
5,
7,
4,
8,
6,
1,
3,
6,
7,
5,
1,
3,
6,
7,
8,
2,
7,
8,
5,
1,
3,
5,
2,
4,
1,
2,
5,
6
] | 28 |
[
2,
4,
7,
0,
5,
8,
3,
6,
1
] | 29 | hard | tile_id_v1 | [
5,
6,
3,
5,
2,
4,
6,
3,
1,
8,
7,
6,
3,
7,
6,
3,
4,
2,
7,
1,
5,
7,
1,
4,
2,
1,
4,
5,
8
] | 29 |
[
2,
8,
7,
3,
5,
0,
6,
4,
1
] | 29 | hard | tile_id_v1 | [
7,
8,
5,
3,
6,
4,
1,
7,
8,
5,
3,
6,
4,
1,
7,
8,
6,
4,
1,
7,
8,
6,
5,
3,
2,
1,
4,
5,
6
] | 29 |
[
0,
7,
8,
2,
5,
4,
3,
6,
1
] | 30 | hard | tile_id_v1 | [
2,
5,
7,
8,
4,
1,
6,
7,
8,
2,
5,
3,
7,
8,
2,
4,
1,
2,
3,
5,
4,
1,
2,
3,
5,
4,
1,
2,
3,
6
] | 30 |
[
6,
5,
7,
8,
4,
2,
3,
1,
0
] | 30 | hard | tile_id_v1 | [
2,
7,
5,
4,
1,
3,
8,
6,
4,
1,
7,
2,
3,
7,
6,
8,
7,
6,
8,
4,
1,
5,
2,
3,
6,
8,
5,
2,
3,
6
] | 30 |
[
6,
4,
7,
8,
5,
0,
3,
2,
1
] | 31 | hard | tile_id_v1 | [
1,
2,
3,
8,
6,
4,
7,
1,
2,
3,
5,
6,
8,
5,
6,
7,
1,
2,
3,
6,
7,
8,
5,
7,
8,
5,
4,
1,
2,
3,
6
] | 31 |
[
8,
6,
7,
2,
5,
4,
3,
0,
1
] | 31 | hard | tile_id_v1 | [
5,
6,
7,
4,
6,
2,
3,
5,
1,
6,
2,
3,
8,
7,
4,
2,
3,
1,
5,
8,
7,
4,
1,
5,
8,
7,
4,
1,
2,
3,
6
] | 31 |
8-puzzle / 3x3 sliding puzzle
Fixed 3x3 / 8-puzzle evaluation data and teacher-rollout datasets for sliding-puzzle reasoning experiments.
Configs
eval: 62 fixed evaluation puzzles, with exactly two puzzles at every optimal distance from 1 through 31.sft-source: 200 fresh boards, balanced with 20 boards at each exact depth 10-19. It excludes the reserved evaluation boards and deliberately contains no solution-action labels.sft: 3,745 replay-verified, fully annotated teacher decisions from solvedsft-sourcetrajectories.
The eval configuration uses the eval split. sft-source and sft use the train split.
Fields
board: flat 3x3 board, with0as the blank tile.scramble_depth: exact optimal solution length for the generated evaluation set.bucket:easy,medium, orhard.action_interface: schema identifier,tile_id_v1.optimal_actions: integer tile IDs to slide from the board to the solved state.optimal_length: length ofoptimal_actions.
Evaluation set
The evaluation set contains two puzzles at every exact optimal distance from 1 through 31. The boards are sampled reproducibly from the reachable state space and are kept separate from the local SFT datasets. Every stored action sequence is replay-validated and optimal.
| Bucket | Optimal length | Count |
|---|---|---|
| easy | 1-10 | 20 |
| medium | 11-20 | 20 |
| hard | 21-31 | 22 |
Actions are numbered tiles from 1 through 8; each action slides that tile into the blank.
sft-source fields
id: stable source-board identifier.board: flat 3x3 board, with0as the blank tile.optimal_length: exact optimal solution length; source metadata only and not a teacher-model input.action_interface: schema identifier,tile_id_v1.
sft-source intentionally omits optimal_actions; teacher models must produce their own trajectories.
sft fields
prompt: evaluator-format chat messages containing the system prompt, current board, and up to four prior rationale/action/result turns.completion: one assistant message containing the annotated rationale and one verifiedslide_tiletool call.tools: theslide_tilefunction schema used by the evaluator.metadata: replay and audit fields includingsource_id,target_turn,board,tile,next_board, andhistory_turns.
The SFT training records were generated with a fixed history window of four turns.
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