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Naked Pair

When two cells in one unit share the exact same two candidates, those candidates are locked to those cells.

Checklist

  1. Find two candidate cells inside one unit.
  2. Confirm both candidate sets are exactly identical.
  3. Eliminate those two digits from other cells in the unit.
  4. Check for newly created Singles.

Place in the Learning Course

Treat this page as a lesson, not only a reference. Check the condition, solve one matching puzzle, then review which candidate or cell made the step valid.

1. Find it

Run the checklist in order until you can explain the pattern.

2. Verify it

Compare the valid and invalid diagrams before removing candidates.

3. Practice it

Open the linked difficulty archive and look for the same condition.

Valid pattern: two cells locked to the same pair

A shared pair (for example {2,7}) allows direct eliminations from all other cells in the unit.

Valid Diagram (9x9)
Keep Remove Focus Given Rows A-I / Columns 1-9

Locked pair enabling unit-wide elimination.

Invalid pattern: one cell has extra candidate

If one cell has a third candidate, the pair is not locked and elimination is unsafe.

Invalid Diagram (9x9)
Keep Remove Focus Given Rows A-I / Columns 1-9

Unstable pair with extra candidate.

Avoid applying it too early

Use this technique only when every checklist condition is true. A board can look similar while still missing one required limit, and removing a candidate too early can break the puzzle later. Before you act, say which unit, which digit, and which cells make the move valid.

  • Fix the row, column, or box you are reasoning about before removing candidates.
  • Separate candidates that can be removed from candidates that must remain.
  • After the removal, rescan for naked singles or hidden singles created by the update.

How to test it in a real puzzle

After reading the article, do not immediately jump to a harder level. Open one linked difficulty archive and look for the same condition while the checklist is still visible. If the pattern does not appear, that is still useful: write down which row, column, box, digit, or candidate set you checked. That note makes the next related technique easier to choose.

Where to use this

Frequent in late Easy and throughout Medium.

Read next

After-Puzzle Review

  • Write down one cell or candidate affected by this technique.
  • Check whether you almost removed a candidate without the full condition.
  • Choose whether to solve one more puzzle at this level or read the related technique first.