# XYZ-Wing

The XYZ-Wing is an extension of the XY-Wing. The pivot cell also carries the Z candidate.

Upto 2 candidates can be eliminated by an XYZ-Wing, because they need to share an intersection with the pivot. The following diagram shows how it works:

The pivot has candidates XYZ. The implications of each option are:

X

the XZ pincer will contain digit Z. This digit is eliminated from the starred cells.

Y

the YZ pincer will contain digit Z. This digit is eliminated from the starred cells.

Z

the pivot eliminates Z in the starred cells.

Under all circumstances, the starred cells will lose their candidates for digit Z.

### ALS Alternative

The XYZ-Wing can be replicated by an ALS-XZ move.

Consider set r1c37. 2 cells, digits XYZ. Consider set r3c1. 1 cell, digits XZ. X is common restricted. It cannot appear in both sets at the same time. One of these sets will be locked for the remaining digits. r1c12 can see all candidates for digit Z in both sets. Since one of these sets will be locked with digit Z, we can eliminate digit Z from r1c12.

This is the Eureka notation for the ALS alternative:

(Z)r1c12-(Z=YX)r1c37-(X=Z)r3c1-(Z)r1c12 => r1c12<>Z

XYZ-Wings can also be replicated by Aligned Pair Exclusion, by pairing one of the target cells with the XYZ cell.

## Sudoku Games

- Sudoku 9981
- Samurai Sudoku
- Sudoku Printer
- Word Sudoku to Learn English

Word Sudoku to Learn Chinese

Word Sudoku to Learn French

Word Sudoku to Learn German

Word Sudoku to Learn Spanish

*Free Sudoku Script for Your Website*

## Sudoku strategies

- Coloring
- Singles
- Fish
- Chains and Loops
- Intersections
- Subsets
- Wings
- Single Digit Patterns
- Uniqueness
- Almost Locked Sets

## Printable Sudoku

- Kids Sudoku Puzzles
- Easy Sudoku Puzzles
- Standard Sudoko Puzzles
- Hard Sudoku Puzzles
- Expert Soduko Puzzles
- Extreme Soduku Puzzles
- Blank Sudoku Grids