X-Chain

A single-digit chain of alternating links forces one end to be true.

Learn the X-Chain Sudoku technique: a single-digit chain alternating strong and weak links forces one end to hold the digit, so cells seeing both ends lose it.

How to use it

  1. Chain strong and weak links. Pick a digit and build a chain that alternates strong links (a unit where the digit has only two spots) with weak links (two spots sharing a unit), starting and ending on a strong link.
  2. Read the endpoints. Because the chain starts and ends with a strong link, at least one of its two endpoints must hold the digit — you do not know which, but you know one of them does.
  3. Eliminate from cells seeing both ends. Any cell that sees both endpoints sees the digit no matter which end is true, so the digit can be removed from it.
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