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Sudoku strategy guide

Avoidable rectangle: stop solved values from forming a deadly loop

An avoidable rectangle is the uniqueness counterpart found after some rectangle corners are solved. One remaining candidate would complete an interchangeable pattern.

Key idea

That candidate must be removed because it would allow the same rectangle values to swap into another solution.

See the move, step by step

Use a real solved-grid position to test the remaining rectangle corner.

Step 1 of 4

Locate two matching row-column pairs

Rows 5 and 7 contain the four corners of the potential rectangle.

Rectangle rows

Step 2 of 4

Compare solved corners and the open corner

The placed values establish the repeating pattern, while R5C7 still contains the dangerous candidate 3.

Rectangle structureCandidate completing the loop

Step 3 of 4

Reject the interchangeable completion

If R5C7 were 3, the rectangle values could be exchanged without changing any outside constraint.

Avoidable rectangleCandidate to remove

Step 4 of 4

Keep the unique completion

R5C7 is left with 2, so the rectangle can no longer generate an alternative solution.

RectangleConfirmed 2

Try it on today's puzzle

Only use this on a guaranteed unique puzzle. Carefully verify which corners are solved and which candidate would reproduce the deadly rectangle.

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