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WXYZ-Wing

Expert· L8
Elimination

A WXYZ-Wing is a bigger wing: four related cells whose candidates together use only four digits, with a common digit that every arrangement forces.

Before this: Learn Y-Wing / XYZ-Wing first.

Why it works

Like Y-Wing and XYZ-Wing, you list the possible ways the wing can be filled. Every legal filling places the common digit Z somewhere in the pattern.

Cells that see every possible Z location get stung no matter which filling is true — so they cannot be Z.

Demonstration

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Find four related cells locked to four digits as a wing group.

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The green cells form a WXYZ-Wing. The common digit is 3.

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Every possible filling of the wing places 3 somewhere in the pattern — check each world.

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Eliminate 3 from cells that see every Z option (red).

Example 1

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Scan for a four-cell wing locked to four digits.

2743688359729621831386592465872372914385743218382964691785324

This WXYZ-Wing forces 1.

2743688359729621831386592465872372914385743218382964691785324

Remove 1 from the common-see cells (red). Every filling places that digit in the wing.

Example 2

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Scan for a four-cell wing locked to four digits.

319275763582527843924367523795614858719327682191427583219467

This WXYZ-Wing forces 4.

319275763582527843924367523795614858719327682191427583219467

Remove 4 from the common-see cells (red). Every filling places that digit in the wing.

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