Edge-First Strategy: Master the Perimeter

Every arrow puzzle board has one guaranteed opportunity: the edges. Any arrow at the perimeter pointing outward can escape immediately, with no dependency on any other arrow. Learning to exploit the edges is the foundation of efficient arrow puzzle solving.

Why Edges Are Powerful

Edge-facing arrows are special because they require zero planning. They don't need an empty cell to move into — they just fly off the board. This makes them:

• Always safe — Moving an edge-facing arrow can never make the puzzle unsolvable, because it was already free to leave.
• Board-opening — Removing an edge arrow creates an empty cell exactly where something else might need to move.
• Dependency-breaking — An edge arrow that's blocking another arrow will stop blocking it the moment it escapes.

The Edge-First Protocol

1. Count your escapes. Scan all four edges. How many arrows are pointing off the board? These are your free moves.
2. Clear corners first. Corner arrows can escape in two directions. If a corner arrow points along the edge (not off it), check if clearing the adjacent edge arrow would give it an escape path.
3. Work inward. After clearing all edge-facing arrows, check which interior arrows now face the newly emptied edge cells. These become your next moves.
4. Repeat. After the new interior-to-edge arrows move, more empty cells appear. Continue this inward wave until the board is clear.

When Edge-First Doesn't Work

In the Branches stage (81–200), some edge-facing arrows may be blocked by interior arrows that also need those edge cells. You might need to clear an interior arrow before an edge arrow can escape. This is where edge-first must be combined with dependency analysis. Use the hint system if you're unsure which sequence is correct.

In very dense boards, there may be no edge-facing arrows at all — every perimeter cell is either empty or has an arrow pointing inward. Here, the edge-first strategy becomes "find the chain that leads to an edge" rather than "find arrows already at the edge."

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