GridWits

Unique Rectangle

Extreme Used by Smart Hint

Uses the fact that a proper Sudoku has exactly one solution to rule out candidate patterns that would create a second, deadly duplicate.

A 1 B 2 C 3 D 4 E 5 F 6 G 7 H 8 I 9 2 5 2 5 2 5 2 5 9

How it works

  1. B1, E1, and B4 all have exactly the same two candidates, {2, 5} — three corners of a rectangle across two rows, two columns, and two boxes.
  2. If E4 were also just {2, 5}, the puzzle would have two valid solutions, since 2 and 5 could swap around the rectangle — which a real Sudoku never allows.
  3. So E4 can't be purely {2, 5} — eliminate both, leaving only its extra candidate, 9.

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