Sudoku X · Easy

Naked Single in Sudoku X

A cell with one candidate left. On a diagonal, the diagonal counts against it too.

The idea

A naked single is a cell that can hold only one digit: every other digit is already in its row, its column or its box.

In Sudoku X a cell on a diagonal has a fourth house. The digits on that diagonal rule digits out too, so a cell can be settled by its diagonal when its row, column and box leave two or more.

Worked examples

2 positions from real Sudoku X puzzles on this site, the familiar case first. Step through each one: the board lights what each step talks about, and the arrows show what rules what out.

Settled by its row, column and box

Easy puzzle · Naked Single

Look at row 1. One empty cell here has only one candidate left.

Step 1 of 4Step 2 of 4Step 3 of 4Step 4 of 4

The diagonal settles it

Easy puzzle · Naked Single

This cell is on a diagonal. Its row, column and box leave more than one digit here; the lit diagonal is what decides it.

Step 1 of 5Step 2 of 5Step 3 of 5Step 4 of 5Step 5 of 5

Where it fits

EasyNaked Single is an Easy technique: Easy Sudoku X puzzles are the first to need it.

The Classic Naked Single lesson teaches it on a plain 9×9 board. The Sudoku X overview explains the rule and the levels.

Naked Single in the other styles: Jigsaw, Thermo, Windoku, Arrow, Kropki.

Try it on an Easy Sudoku X puzzle. Next Step points it out when it is the move.

The worked examples, every step

Settled by its row, column and box

Easy Sudoku X puzzle · Naked Single

  1. Look at row 1. One empty cell here has only one candidate left.
  2. R1C2 can only be 6. Every other digit is already in its row, column or box.
  3. Place 6 in R1C2.
  4. R1C2 is now 6.

The diagonal settles it

Easy Sudoku X puzzle · Naked Single

  1. This cell is on a diagonal. Its row, column and box leave more than one digit here; the lit diagonal is what decides it.
  2. Look at row 3. One empty cell here has only one candidate left.
  3. R3C7 can only be 5. The diagonal settles it: 2 and 8 are already on the anti-diagonal (from R1C9 to R9C1), though not in this cell's row, column or box.
  4. Place 5 in R3C7.
  5. R3C7 is now 5.

Next: Hidden Single