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ENVI

Naked Pair

Naked Pair · Locked Pair

2-step reasoningDifficulty

Two cells in a unit have the same two candidates only, so those digits are removed from the rest of the unit.

Rule

Two cells in a unit hold only {x, y} → remove x and y from the other cells of the unit.

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Find two cells with the same pair

In row 7, the two cells r7c3 and r7c6 both have exactly the two candidates 1 and 7.

The idea

If two cells in a row can only be 3 or 7, one of them is 3 and the other is 7. We don't know which is which, but the row's 3 and 7 are certainly reserved for those two cells.

So no other cell in the row can be 3 or 7. If the two cells also share a box, you can eliminate in the whole box as well.

How to spot it

  • Find cells with exactly two candidates, then compare them with cells in the same row, column and box.
  • The two cells must have exactly the same two candidates: {3, 7} and {3, 7}, not {3, 7} and {3, 8}.

Common mistakes

  • Two cells that are merely close but not in the same unit are not a naked pair.
  • Missing candidates create fake pairs. Write in all candidates before looking for pairs.

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Related techniques

References

The examples on this page are generated from random puzzles, not taken from these sources.