Hidden Single
A Hidden Single occurs when a digit can only go in one cell within a row, column, or box — even if that cell has other candidates. The digit is "hidden" amongst the other possibilities but is the only place it can go in that unit.
How It Works
While a Naked Single looks at a single cell and finds only one candidate, a Hidden Single looks at a single digit and finds only one cell where it can go within a unit (row, column, or box).
Example
Look at Row 1 and ask: where can 6 go?
- R1C1: 2 (given)
- R1C2: candidates 4, 5, 9 — no 6
- R1C3: candidates 1, 5, 6, 9 — has 6!
- R1C4-7: candidates don't include 6
- R1C8-9: 3, 8 (given)
R1C3 is the only cell in Row 1 where 6 can go. Even though R1C3 has four candidates, it must be 6 — that's a Hidden Single.
puzzle: S9B028A8Z8307838303084QBU83BT830685071703DE83BP04BP06850Z228E088Z028B078313018G88DE82DMBSBO061U8407CJ03BN04BP0Z2Q2W042X082X131V096A06140483A14N4J2V0901122U062U4M4Q02
mode: guided
technique: Hidden Single
initial:
layers:
hints: true
steps:
- text: >
Where can 6 go in Row 1? Let's use Focus Mode to highlight all 6s.
hint: subtle
technique: HS
state:
selection:
cell: R1C3
- text: >
R1C3 is the only cell in Row 1 with candidate 6.
hint: obvious
technique: HS
state:
selection:
cell: R1C3
focus:
enabled: true
digits: [6]
- text: >
Since 6 can only go in R1C3 within Row 1, that cell must be 6.
hint: detailed
technique: HS
When to Use It
Hidden Singles are slightly harder to spot than Naked Singles because you need to think about each digit's possibilities across a whole unit. They're most effective when:
- Many cells in a unit are already filled
- You're systematically checking where each digit can go
- Focus Mode is highlighting a specific digit
Tips
- Use Focus Mode to highlight all cells containing a specific digit
- Check each box, row, and column for digits that appear in only one cell
- After finding a Hidden Single, check for Naked Singles it may create
The Difference
| Technique | Perspective | Question Asked |
|---|---|---|
| Naked Single | Cell-focused | "What can go in this cell?" |
| Hidden Single | Digit-focused | "Where can this digit go?" |
More Puzzles
Related Techniques
- Naked Single — When a cell has only one candidate