How to play
You complete Araf when the completed grid satisfies the two clue between area constraint set, every fixed clue, and the profile's whole-board completion test. The engine evaluates the full position rather than relying on a visual shortcut or an unsupported solvability claim.
- Araf opens from a versioned seeded position built for Each connected region has two clues and an area strictly between their values. The independent runtime records this exact two clue between area rules identity. Its game ID, rules profile, and deal identity are stored together so restart recreates the same opening without a server request.
- Every Araf action is checked against the current board, available material, and this defining restriction: Each connected region has two clues and an area strictly between their values. Partial assignments remain legal only while at least one completion still satisfies those constraints. Invalid, stale, or post-terminal actions leave the position unchanged.
- You complete Araf when the completed grid satisfies the two clue between area constraint set, every fixed clue, and the profile's whole-board completion test. The engine evaluates the full position rather than relying on a visual shortcut or an unsupported solvability claim.
Strategy tips
- A practical Araf plan is to preserve several legal continuations around Each connected region has two clues and an area strictly between their values. The independent runtime records this exact two clue between area rules identity. Use the deterministic hint to inspect one legal action, then compare how it affects the documented objective before committing.
- A common Araf error is to ignore the boundary rule that Each connected region has two clues and an area strictly between their values. Partial assignments remain legal only while at least one completion still satisfies those constraints. Undo is useful for studying that decision, while restart deliberately preserves the original seeded position.
- Near the end of Araf, recount the remaining obligations needed until the completed grid satisfies the two clue between area constraint set, every fixed clue, and the profile's whole-board completion test. Check the boundary rule after every final placement or transfer because terminal status is enforced immediately.