Proven Sudoku

Techniques / Subsets

Hidden Quad

Also called Hidden Quadruple, Concealed Quad.

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

What it means

Four digits in a group can only go in the same four squares. Those squares are reserved for them, so clear the other digits out.

The exact rule, for stronger players

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

What it removes: Remove every candidate outside the four digits from the four cells.

Why it works: As for the hidden triple, extended by one.

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 Quad. In r9 the digits 1, 5, 7, 8 can only go in r9c4, r9c5, r9c6, r9c9, so those cells hold exactly those digits and nothing else.
In r9 the digits 1, 5, 7, 8 can only go in r9c4, r9c5, r9c6, r9c9, so those cells hold exactly those digits and nothing else.
Sudoku grid showing Hidden Quad. In r2 the digits 1, 2, 5, 8 can only go in r2c3, r2c6, r2c7, r2c9, so those cells hold exactly those digits and nothing else.
In r2 the digits 1, 2, 5, 8 can only go in r2c3, r2c6, r2c7, 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: rare. Its complement, a naked pair, is almost always visible first.

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