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Naked Singles

The simplest deduction in Sudoku — a cell with only one option left.

A naked single is an empty cell that has exactly one remaining candidate, because the other eight digits already appear somewhere in its row, column or box. Whenever a cell is down to one option, you can place it immediately.

Worked example

The highlighted cell can take only one digit — every other value already appears in its row, column or box.

How to apply it

1

Look at an empty cell and list which digits already appear in its row, column and box.

2

Cross those off the digits 1–9.

3

If a single digit survives, that is the answer for the cell.

4

Place it, then re-scan — a naked single often creates more.

When to use it

Naked singles appear constantly, especially late in a solve as the grid fills up. Keeping pencil marks makes them obvious: any cell showing one note is a naked single.