Sudoku Flow
Lesson 25

XY-Chain

The rule

In an XY-chain, the links force at least one of its two ends to hold their shared candidate, so any cell that sees both ends loses it.

Step by step

  1. These 4 cells each hold just two candidates, and both end cells hold 3. Suppose the first end is not 3: then it is 5. Each link hands the next cell its other candidate (7, 2), so the last end is 3. Either way, one of the two ends is 3.
  2. At least one end must be 3, so we can remove the candidate 3 from any other cell that sees both ends.

Try it on more boards

Each board is a real puzzle from our app, at a moment where XY-Chain applies. Find the step yourself, or tap Hint and the app's own hint walks you through it.

Sudoku app icon

Want more boards like this?

We also make a Sudoku app for iPhone, iPad, Mac and Android. There are no ads in it at all, it works offline, and when you ask for a hint it shows you the technique instead of just filling in a number.

Sudoku Flow is made by Rubigo Games, the developer of the Sudoku app recommended on this site.