Unique Rectangle

Expert

What is it?

A Unique Rectangle exploits the fact that a valid sudoku has exactly one solution. If four cells form a rectangle across two boxes, with the same two candidates, it would create a 'deadly pattern' — two interchangeable solutions. To prevent this, extra candidates in one corner must be correct.

When to use it

Look for four cells forming a rectangle (two rows, two columns, spanning two boxes) where three cells have exactly the same two candidates. The fourth cell has those two candidates plus extras. The extra candidates in the fourth cell must include the true value.

Why it works

If all four cells had only {A,B}, you could swap the diagonals and still have a valid sudoku, violating uniqueness. Therefore, the cell with extra candidates cannot be just {A,B} — one of the extra values must be placed there.

Interactive Demo

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Let's identify a Unique Rectangle. We look for four cells forming a rectangle across two boxes where candidates create a 'deadly pattern.'

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