All Tutorials/XY-Chain

XY-Chain

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Chains of bi-value cells for eliminations

XY-Chains link bi-value cells together to make distant eliminations.

Understanding the Concept

A chain of bi-value cells where each cell shares one candidate with the next.

Chain: {A,B} - {B,C} - {C,D} - {D,E} and so on.

If chain starts with {A,B} and ends with {Y,A}, then A can be eliminated from cells seeing both ends.

Can be any length - longer chains are harder to spot.

Very powerful but requires strong pattern recognition.

Foundation for more complex chain techniques.

Examples

Simple XY-Chain

Chain: {1,3} - {3,7} - {7,9} - {9,1}. Cells seeing both first and last cell cannot be 1.

Pro Tips

  • Start with bi-value cells
  • Follow the chain of shared candidates
  • Look for chains that loop back to starting digit
  • Practice with short chains first

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