What is a naked single?
Every empty cell has 20 peers: the other cells in its row, its column and its box. A digit placed in any peer cannot go in the cell. When the peers between them already use eight different digits, only one digit is left. That cell is a naked single: the answer is in plain sight.
Example
Look at R5C5, the centre cell. Its row already has 1, 2 and 3. Its column has 4, 5 and 6. Its box has 7 and 8. That is eight different digits, so the only candidate left is 9.
How to find naked singles
- Pick an empty cell in a crowded area: a row, column or box that is nearly full.
- Go through 1 to 9 and check whether each digit already appears in the cell's row, column or box.
- If exactly one digit is missing from all three, write it in.
With pencil marks, naked singles are even easier: any cell with a single candidate left is one. That is why it pays to erase candidates every time you place a digit.
Where it fits
Naked singles and hidden singles solve most easy puzzles on their own. When neither turns up, it is time for pencil marks and naked pairs.
