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Advanced · 10 techniques

Advanced Sudoku Techniques

Chain logic and uniqueness arguments for expert and evil puzzles.

  1. X-Wing
    An X-wing is a pattern where a digit appears as a candidate in exactly two cells of two different rows, and those four cells line up across the same two columns.
  2. Swordfish
    A swordfish is the three-row generalisation of X-wing.
  3. Jellyfish
    A jellyfish is the four-row generalisation of X-wing (and swordfish).
  4. XY-Wing
    An XY-wing is a three-cell pattern.
  5. XYZ-Wing
    An XYZ-wing extends XY-wing.
  6. Coloring
    Coloring is a single-digit chain technique.
  7. Forcing Chains
    A forcing chain picks a cell with two candidates, assumes each candidate in turn, and follows the deductions.
  8. Unique Rectangle
    A unique rectangle is a four-cell pattern at the corners of a rectangle, spanning exactly two boxes, where three corners have the same two candidates {X, Y}.
  9. BUG (Bivalue Universal Grave)
    A BUG (bivalue universal grave) pattern arises when every empty cell in the grid would have exactly two candidates.
  10. Nishio
    Nishio picks a single candidate, tentatively places it, and follows forced deductions until either a contradiction or a valid completion appears.