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Sudoku technique · Wings · first needed in Expert puzzles

W-Wing

Two cells with the same pair are connected through a strong link on one of their digits. Their other digit is guaranteed at one end.

How to spot it

Look for matching bivalue cells and a two-location bridge.

The common mistake

Two matching pairs by themselves are not a W-Wing. Verify the bridge and both endpoint connections.

Learn this first

Strong links and XY-Wing.

A worked example

This position comes from SudokuByte’s lesson on the W-Wing. Gold cells hold the evidence; green cells are the pattern’s ends.

The W-Wing in this position
The result: pencil marks it removes, in red
  1. Where to look

    Look for matching bivalue cells and a two-location bridge.

    Two cells with the same pair are connected through a strong link on one of their digits. Their other digit is guaranteed at one end.

  2. Read the evidence in this position

    r2c9, r6c8 both contain 2, 9. The connecting strong link on 9 lies in row 5.
  3. Why the deduction must follow

    One bridge endpoint must contain 9. It excludes 9 from the wing it sees, forcing that wing to be 2. Which bridge endpoint is true does not matter: one wing supplies 2, so candidates seeing both wings lose 2.
  4. Apply the result

    Erase 2 from r2c8, r6c9. The pattern may remove candidates without immediately solving a cell.

Further reading: hodoku.sourceforge.net