Solvarium

Puzzle guide

How to solve Hitori

Hitori starts full: every cell already has a number. Your job is to black out cells until no number appears twice in any row or column. Three rules decide which ones, and a handful of patterns finds them fast.

The rules

  1. Black out cells so that no number appears twice, unblacked, in the same row or column.
  2. No two black cells may sit side by side. Touching at a corner is allowed.
  3. All cells left unblacked form a single connected area. None may be cut off.

A solved puzzle

231132212232
A solved puzzle. Every row and column keeps each number at most once, no two black cells touch side by side, and the white cells are all connected.

Your first moves

  1. Look for twins side by side: two equal numbers next to each other. One of them will turn black, so any third copy in that row or column is black.
  2. Look for a number between two twins (like 3 1 3). It always stays.
  3. Every time you black out a cell, circle its four neighbours: they stay.
  4. Every time you circle a number, black out its copies in the same row and column.

Techniques, step by step

Twins side by side

Two 3s stand next to each other. They cannot both stay, and they cannot both be black, because two black cells may not touch. So exactly one of them stays. That means any other 3 in the same row must be black: if it stayed, there would be two 3s left.

3313
One of the twin 3s stays, so the third 3 turns black.

The number between twins

Two 3s with one cell between them: at least one of them has to turn black. Whichever it is, it touches the cell in the middle. A black cell's neighbours always stay, so the 1 in the middle stays. Circle it.

313
A 3 next to the 1 will turn black, so the 1 stays.

Around a black cell

Two black cells may never sit side by side. So as soon as you black out a cell, all four of its neighbours stay. Circle them. This is the move you make most, and each circle you add often leads to the next black cell.

132241342
The black 4's four neighbours all stay.

A circled number blacks out its twins

The 2 on the left is circled: it stays. A row may keep each number only once, so every other 2 in that row, and every other 2 in its column, turns black. Circles and black cells feed each other like this all through the puzzle.

2123
The circled 2 stays, so the other 2 in the row turns black.

Keep the white cells connected

All the cells that stay must be one connected area. The 2 in the corner has a black cell to its right, so its only way to the rest is down. If the cell below it turned black too, the 2 would be cut off. So that cell stays. On hard boards, this is the rule that decides the last cells: before you black out a cell, check that every white cell can still reach every other.

Common mistakes

  • Two black cells side by side. It is the easiest rule to break. Corners touching is fine; sides touching is not.
  • Cutting off a white cell. The app only checks the connection at the end, so check it yourself as you go, especially near the edges and corners.
  • Blacking out too much. Only black out a cell when you know it is a repeat. A number that appears once in its row and column never needs to turn black.
  • Forgetting the columns. A number can be fine in its row and still repeat in its column.

Questions and answers

What is Hitori?

A Japanese logic puzzle where every cell starts with a number, and you black out cells so that no number repeats in a row or column, no two black cells touch side by side, and the white cells stay connected.

What does Hitori mean?

It means "alone" in Japanese: every number is left alone in its row and column.

How do I black out or keep a cell?

Tap a cell to black it out, and tap again to clear it. Press and hold to circle it as kept. Drag across several cells to change them all the same way.

Do I have to circle every cell that stays?

No. A cell you leave plain counts as staying. The circles are there to help you remember what you have worked out.

Where should I start?

Scan for twins side by side and for numbers between two twins. Then circle the neighbours of every black cell and black out the copies of every circled number.

Ready to play?

Twins, the number between twins, circles around black cells and white cells that stay connected: that is all of Hitori. Ready for a board?