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Unique Rectangle

A well-formed Sudoku has exactly one solution. The Unique Rectangle technique exploits this: if four cells in two rows, two columns, and two boxes are all about to pencil the same two digits, the puzzle would have two solutions - so one of those candidates must be eliminated.

Advanced

How to read the grids

  • Given - clues from the starting puzzle
  • Subject - cells the technique focuses on
  • Eliminated - candidates this technique removes
  • Candidate - pencil marks shown for reference

How to spot it

Spot four cells forming a rectangle that all have the same {X, Y} candidate pair. The technique forbids the configuration; identify which extra candidate must remain to break the symmetry.

The fourth corner gets stripped of {3,6} to preserve a unique solution.

Worked example

Four cells in two rows / two columns all pencil {3, 6}. The fourth cell also pencils 8. Since the all-{3,6} configuration would create two solutions, 3 and 6 are eliminated from the fourth cell - it must be 8.

Time to practice

Reading is half the work. Try a puzzle now and look for the techniques you just learned.