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Module 2 · Beginner SolvingLesson 7 of 28

Naked Singles

Identify and solve a cell that has exactly one legal candidate.

Outcome

You can prove that a cell has exactly one remaining candidate and place it with confidence.

Intro copy

Sometimes a cell has already been solved by elimination — it just has not been filled yet.

If only one candidate survives, place it.

Step 1 — Explain

Show a target cell with candidate set {8}.

Copy:

A Naked Single belongs to the cell itself: every digit except one is blocked by its row, column, or box.

Step 2 — Guided example

Prompt

What can go in r4c7?

Hint 1

Check the digits already present in row 4.

Hint 2

Now add the digits blocked by column 7 and the box.

Correct feedback

Good. 8 is the only legal candidate, so r4c7 = 8.

Incorrect feedback

That digit is blocked by one of the cell's peers. Check the highlighted row, column, and box.

Step 3 — Try it

Exercise spec

Target cell displays three candidates initially. Learner performs one already-explained candidate elimination from a recent solved move, reducing the cell to one candidate, then places it.

Correct feedback

Nice. Removing that impossible candidate left one possibility, which turned the cell into a Naked Single.

Incorrect feedback

Update the notes first. One candidate is no longer legal after the previous placement.

Step 4 — Practice

Five exercises:

  • three with full candidates;
  • one after a candidate update;
  • one with notes hidden, requiring peer inspection.

Checkpoint

Mixed state with several low-candidate cells. Only one is a true Naked Single.

Prompt:

Find the cell you can solve from its own candidates alone.

Completion

Five correct Naked Single placements. The final no-notes exercise must be solved without entering an unproven digit.

Next

Hidden Singles — learn the other kind of Single, where a digit has one position in a unit even though the cell has several candidates.

Reference

Read the full Naked Single Guide for comparison with Hidden Singles and last-missing-digit placements.