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Intermediate technique

Naked Pairs

A naked pair is two cells in the same row, column or 3x3 box that contain exactly the same two candidate digits. Those two digits must occupy those two cells, so they can be eliminated from every other cell in the unit.

2 62 6

How it works

Naked pairs are the first elimination technique most solvers learn. They do not place a digit directly. Instead they remove candidates from other cells, which often produces a naked or hidden single elsewhere.

The pattern is precise. Two cells in the same unit must have exactly the same two candidates, with no extras. For example r1c3 contains {2, 7} and r1c7 also contains exactly {2, 7}. Now 2 and 7 are locked into those two cells, so any other cell in row 1 with 2 or 7 as a candidate can have them eliminated.

Naked pairs often hide because pencil marks accumulate over the course of a solve. If a cell shows three candidates but two are already eliminated by recent placements, that cell may actually be a pair candidate. Stay disciplined with your marks.

When to look for it

Once pencil marks are laid down. Scan each row, column and box for two cells with identical 2-candidate sets.

Tips for spotting the pattern

  • Scan units with the fewest empty cells first. Naked pairs there are most visible.
  • After eliminating from peers, immediately re-scan for singles. Pairs often cascade.
  • If you find a naked pair but no eliminations follow, the pair was already implicit.

Common mistakes

  • Calling a near-pair a real pair. Both cells need exactly the same two candidates, no more.
  • Forgetting to apply the eliminations. The pair itself does not place anything; the eliminations do.
  • Confusing naked pairs with hidden pairs. Naked is about the cells, hidden is about the digits.
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