Logic Puzzle Club

Nurikabe: pools and one sea

Anything with one way out must use it. And where three cells of a square are sea, the fourth is island.

Practice now
The 2 on the right needs one more cell. Above and to the left are sea. Its only way out is down.
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How it works

Once the walls are up, two rules do most of the work. Both are about room to grow.

One way out: an island that still needs cells must grow through an open side. If it has just one, that cell is island. The sea must be one piece, so a piece of sea with one open side grows through it too.

Pools: no 2×2 square may be all sea. When three cells of a square are sea, the fourth is island. A square like that is a pool waiting to happen.

When the sea gets cut off

The one-sea rule also works backwards. If shading a cell would leave some sea with no way to reach the rest, that cell can’t be sea. Solvers check this by supposing and looking for a trapped piece.

Worth memorizing

  1. One open side means grow there.

    For an unfinished island, and for a piece of sea.

  2. Three sea cells in a square: the fourth is island.

  3. The sea is one piece.

    Never wall a piece of sea in.

Practice

0 of 4 right
Question 1

What is the ringed cell?

Question 2

What is the ringed cell?

Question 3

What is the ringed cell?

Question 4

What is the ringed cell?

Where you’ll use this