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Sudoku Clan › Sudoku techniques › Naked single

Naked single in Sudoku

  • Beginner
  • Needed from Hard puzzles
  • 1 point in Duel

Also called a sole candidate.

A naked single is a cell that can hold only one digit, because the other eight are already somewhere in its row, column or box.

How it works

Every empty cell sees twenty other cells: eight in its row, eight in its column, and four more in its box. If those twenty cells contain eight different digits between them, the ninth is the only one left for the cell. No single unit has to be nearly full. The three units do the work together.

  1. Pick an empty cell that sits in a crowded row, column and box.
  2. Go through 1 to 9. Tick off each digit you can find in the row, the column or the box.
  3. If exactly one digit is left unticked, place it.

A real example

11223344556677889963482177263988236451733773673585493392174
Naked single. The cell at row 8, column 7 can only be 9: every other digit is already in its row, column or box.Green: where the digit goes.

The tinted cells are the row, column and box of the green cell. Between them they hold eight different digits, so the green cell has a single candidate left.

Why naked singles feel harder

Nothing about a naked single is complicated, but it is slow to find by eye. You have to check three units for one cell, and there is no pattern on the board that points at it. That is why Sudoku Clan rates a puzzle that needs naked singles as Hard, even though the logic is simple.

Pencil marks change that completely. If you write the possible digits in each cell, a naked single is simply a cell with one note in it. In the game, turn on notes and the single candidate stands out at once.

Where to look

  • Cells where a crowded row crosses a crowded column.
  • Cells in a box that is already mostly full.
  • Any cell whose row, column and box you just added a digit to.

Questions

What is a naked single in Sudoku?

A naked single is an empty cell that has only one possible digit, because the other eight digits already appear in its row, column or box.

What is the difference between a naked single and a hidden single?

A naked single is about a cell: it has one candidate left. A hidden single is about a digit: it has one cell left in a unit. Both place a digit with certainty.

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