| # Rush Hour 4×4, 5×5 & 6×6 — Balanced (solvable-only, fixed thresholds) | |
| Enumerates boards (4×4/5×5) and/or samples for selected sizes (e.g., 6×6), BFS-solves to optimal sequences, and stratifies by difficulty. | |
| ## Policies | |
| - sizes: 4, 5, 6 | |
| - solvable_only: True | |
| - exclude_already_solved: True | |
| - difficulty_scheme: fixed | |
| - fixed_thresholds: 3,5 # easy < t1, medium < t2, hard ≥ t2 | |
| - balance_per_size: True | |
| ## Schema | |
| - board (str) | size (int) | moves (int) | solution (list[str]) | difficulty (easy/medium/hard) | messages (chat) | |