Proven Sudoku

Techniques / Subsets

Hidden Pair

Also called Hidden Double, Concealed Pair.

New to this shorthand? How to read a sudoku grid explains r4c7, houses, candidates and the rest.

What it means

Two digits in one group can only go in the same two squares. Those squares must take those two digits, so rub every other digit out of both squares.

The exact rule, for stronger players

The rule, stated exactly: For a house H, if two digits are each confined to the same two cells of H, all other candidates may be eliminated from those two cells.

What it removes: Remove every candidate other than the two digits from the two cells.

Why it works: Both digits must be placed in H, and both are restricted to the same two cells, so those two cells hold exactly those two digits. Any other candidate in them is impossible.

Worked examples

These come from real Proven Sudoku boards. Nobody drew them by hand to make the pattern look neat. Each one is checked first, so the board is one you could really meet, the pattern is really there, and every digit it rules out is really wrong.

Sudoku grid showing Hidden Pair. In r3 the digits 7, 9 can only go in r3c5, r3c6, so those cells hold exactly those digits and nothing else.
In r3 the digits 7, 9 can only go in r3c5, r3c6, so those cells hold exactly those digits and nothing else.
Sudoku grid showing Hidden Pair. In r2 the digits 1, 2 can only go in r2c3, r2c9, so those cells hold exactly those digits and nothing else.
In r2 the digits 1, 2 can only go in r2c3, r2c9, so those cells hold exactly those digits and nothing else.

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Related subsets

How often does it come up?

Our rough estimate: common at medium and hard difficulty.

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