XYZ Wing

This is a variation of an XY-wing. In the partial puzzle below, consider the cells that have only the candidates shown. Any cells that share a unit with all three cells XYZ, XY and YZ, can have Z eliminated from their candidates.

  YZ  
XYZ * *
     
     
  XZ  
     


It can be easily seen that whichever value is in XYZ, the cell marked with the asterisk cannot be Z.

if XYZ = X, then XZ = Z, so * cannot be Z
if XYZ = Y, then YZ = Z, so * cannot be Z
if XYZ = Z, then * cannot be Z.

This example shows XYZ and XZ in a ROW, this method is also applied to a COLUMN.



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