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StrategiesNaked Pairs
A naked pair appears when two squares in the same row, column, or box can contain only the same two numbers. Those numbers can be removed from other squares in that area.
If two cells in one row can only be 2 or 7, then those two cells must hold 2 and 7 in some order. No other square in that row can be 2 or 7.
The same logic works inside a column or 3x3 box.
Use this technique slowly on a readable board or a printed sheet. The goal is to remove uncertainty, not to solve faster.
After each candidate cleanup, return to scanning and singles before looking for another advanced pattern.
Naked pairs are easier on paper when the candidate marks are written neatly in the same corner of each cell. If the notes become crowded, stop adding new marks and use the pair only to clean one row, column, or box at a time.
Example: in one row, two empty squares are marked only 2 and 7. Because both squares must be filled and both can contain only 2 or 7, those two values are reserved for that pair.
If another square in the same row also has 2 or 7 in its notes, remove those marks from that other square. The pair does not place the numbers immediately, but it clears space for the next single.
Do not use a naked pair when the two cells have extra candidates. A cell marked 2, 7, and 9 is not part of a naked pair yet.
Do not remove the pair from another row or box unless that other cell shares the exact same row, column, or 3x3 box as the pair.
Return to the main learning tree.
StrategiesReview rows, columns, and boxes before applying this technique.
RulesOpen a calm large print board at a useful difficulty.
Practice on MediumUse paper when written candidates are easier to manage.
PrintableNo. Many Easy puzzles can be solved with scanning and singles. Use this page when the simpler steps stop producing progress.
No. A Sudoku strategy should remove candidates or prove a placement. Guessing is not the goal.