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Sudoku solving technique · Pro

Y-Wing

Three cells with two candidates each: a hinge and two wings.

What is a Y-Wing?

A Y-Wing uses three cells each with exactly two candidates. One "hinge" cell can see two "wing" cells. The hinge shares one candidate with each wing, and the wings share a different candidate with each other. That shared wing candidate can be eliminated from any cell that sees both wings.

How to spot a Y-Wing

Look for cells with exactly two candidates. A hinge, say with 1 and 2, sees two wings: one with 1 and 3, one with 2 and 3. Whichever digit the hinge takes, one of the wings becomes 3. So 3 can be removed from every cell that sees both wings.

Difficulty
In Sudoku Pro, this technique belongs to the Pro level.
Learning path
Technique 14 of 20 on the learning path

An example from the app

Pattern (purple). Candidates 1, 2Cell related to the pattern. EmptyCell related to the pattern. Given 4Pattern (purple). Candidates 1, 3
Cell related to the pattern. EmptyGiven 3EmptyGiven 2
Cell related to the pattern. EmptyGiven 1Given 2Given 4
Pattern (purple). Candidates 2, 3Given 4EmptyAffected cell (orange). Candidates 1. Eliminated 3
Hinge {1,2} sees wings {1,3} and {2,3}. Remove 3 from cells seeing both wings.

Small digits are candidates. Crossed-out digits can be removed in this step.

  • Pattern (purple)
  • Affected cell (orange)
  • Cell related to the pattern

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