My Sudoku

Hard Used from hard puzzles up.

Unique Rectangle

Avoiding a second solution

Four cells at the corners of a rectangle over two rows, two columns and two boxes cannot all end with the same two candidates: the two digits could then swap places, and the puzzle would have two solutions.

So when three corners hold only that pair and the fourth holds more, the fourth cannot be either digit of the pair: remove them, and one of its other candidates is left to it.

This relies on the puzzle having a single solution, as a proper Sudoku does.

What to look for

Find three cells with the same two candidates at three corners of a rectangle spanning two boxes.

Example

1352894279127923678913472619812692354759694726893267952447814635591239837237891724236523472356458193456918691834725656372569169451485682184158567167913356 112233445566778899
Unique Rectangle: R2C2, R2C8, R3C2 all hold {4,7}; to avoid a deadly pattern in rows 2, 3 and columns 2, 8, remove 4 and 7 from R3C8.
  • The cells the technique relies on
  • Cells where it removes candidates, struck out in red

Practise it

In the app, Learn › Unique Rectangle sets exercises on real positions, then a full puzzle that needs this technique and nothing harder.

Practise in your browser