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Sudoku Hike

XY-Wing

Three cells with two candidates each force a digit into one of two cells.

A technique for Hard puzzles. Play a Hard puzzle

What it does

Three cells with two candidates each work together. The pivot holds X or Y. One wing, which sees the pivot, holds X or Z; the other wing, which also sees the pivot, holds Y or Z. If the pivot is X, the first wing must be Z; if it is Y, the second wing must be Z. Either way, one of the wings is Z.

How to spot it

Look for a cell with two candidates, then for two cells it sees, each sharing one of its digits and both sharing a third digit between them. The pivot is the cell in the middle; the wings are at the ends.

Yellow: the pivot. Blue: the two wings.These are the notes after the easier steps: some candidates are already removed, as they would be in your game.The blue cells form a wing around row 2, column 2: whichever digit it holds, one of the two other cells must be 3. So a cell that sees both of them can’t be 3.It removes 3 from row 2, column 1; 3 from row 3, column 5.

What it lets you do

Any cell that sees both wings can’t be Z, so you remove Z from it.

Try it

Find the XY-Wing on this board. Pick the cells it clears, mark the candidates it removes, then check.

These are the notes after the easier steps: some candidates are already removed, as they would be in your game.

Practise it

The best way to learn a technique is to meet it in a real game. Practice puzzles are sure to need it, at Hard level; any Hard puzzle may need it too.