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Naked single

Medium

Sometimes a cell can hold only one digit: the eight others are already in its row, its column or its box. That digit is a naked single.

How to spot it

  1. Pick a cell with many digits around it.
  2. Go through the digits already in its row, its column and its box.
  3. If eight of the nine are there, the last one goes in the cell.

Why it works

A cell must hold one of the nine digits. If eight of them are already in its row, column or box, only the ninth is left.

Example

6
5
7
4
9
8
1
7
1
5
1
4
3
9
5
7
6
4
2
8
6
4
1
5
3
8
2
9
7
7
1
9
5
6
4
1
6
4
8
2
4
1
6
5
3
2
8
6
9

Look at row 9: one of its cells has only one digit left that fits.

Common mistakes

  • Counting a digit twice when it is in both the row and the box, and missing the one really left.
  • Confusing it with a hidden single: here you count digits for one cell, there cells for one digit.
Practice this technique