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XY-Wing

An XY-Wing uses three bi-value cells - the "pivot" and two "wings" - to eliminate a single digit. If the pivot pencils {X, Y}, one wing pencils {X, Z}, the other wing pencils {Y, Z}, and both wings see the pivot, then any cell seen by BOTH wings cannot contain Z.

Advanced

How to read the grids

  • Given - clues from the starting puzzle
  • Subject - cells the technique focuses on
  • Eliminated - candidates this technique removes
  • Candidate - pencil marks shown for reference

How to spot it

Find a cell with exactly two candidates. Look for two other bi-value cells, each sharing a row, column, or box with it, such that one digit overlaps with the pivot and a third digit is common to both wings. The Z digit is forbidden in any cell that both wings can see.

The Z digit (5) is eliminated from cells that both wings attack.

Worked example

Pivot {1,2} at the center; wing {2,5} on the right; wing {1,5} below. Any cell seen by both wings cannot be 5.

Time to practice

Reading is half the work. Try a puzzle now and look for the techniques you just learned.