Expert technique

XY-Wing

Three two-candidate squares that force a number out of their shared neighbours.

An XY-Wing uses three squares that each have exactly two candidates. The middle square (the pivot) holds X or Y. It can see two other squares (the wings): one holds X or Z, the other Y or Z. Whatever the pivot turns out to be, one of the wings must be Z. So any square that can see both wings cannot be Z.

XY-Wings feel like magic at first. Start by listing squares with only two candidates, then look for a pivot whose two numbers each match one wing.

Step by step

  1. Find a square with two candidates, X and Y.
  2. Find a square it sees with X and Z, and another with Y and Z.
  3. Remove Z from squares that see both wings.