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Two certain moves, two different checks

Naked single or hidden single? The beginner-friendly difference

Both methods prove one placement. The difference is where you look: either inspect the candidates inside one cell, or follow one digit across a row, column, or 3×3 box.

One visible proof

A placement can be forced because one cell has one candidate, or because one digit has one possible cell in a row, column, or 3×3 box.

  1. First check: inspect one cellIf one cell contains just one candidate, that digit must go there. This is called a naked single.
  2. Second check: follow one digitR4C6 still contains candidates 6 and 7, so the cell itself is not solved. But none of the other eight cells in row 4 contains candidate 7.
  3. Place 7 in its only possible cellPlace 7 in R4C6. Because 7 was hidden among another candidate in its cell, this is called a hidden single.
R4C6 contains candidates 6 and 7. No other cell in row 4 contains candidate 7.

R4C6 is not a naked single: it still contains candidates 6 and 7. But it is the only cell in row 4 that contains candidate 7, so 7 must go there. That is the hidden-single proof.

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