Overview
- Tier 3
- Subsets
- Typical difficulty
- Peak Score 35–50
- Also known as
- Concealed Pair, Hidden Twin
When two digits appear as candidates in only two cells within a house, those two cells must contain those two digits. All other candidates in those two cells can be eliminated.
A Hidden Pair is the subset counterpart to a Hidden Single. While a Naked Pair eliminates digits from the *rest of the house*, a Hidden Pair eliminates other candidates from *inside the pair's own cells*. They are termed 'hidden' because the two cells may contain extra candidate digits that camouflage the pair until you scan the house digit by digit.
Worked examples
1 / 5
Reading the exampleCells losing candidatesEliminated candidates
3
12457
1247
6
9
1247
157
1257
8
8
12457
6
14
245
1247
13579
12579
1357
157
1257
9
8
25
3
4
1257
6
9
1456
14
3
7
146
8
145
2
1457
1234578
123478
149
24
1249
6
14579
157
1467
12467
1247
5
8
12469
179
3
17
17
9
5
2
3
8
17
6
4
467
3467
347
49
1
459
2
8
357
2
1348
1348
7
6
45
135
15
9
In row 5, the digits 3 and 8 can only go in R5C2 and R5C3. Those two cells must take those two digits, so every other candidate can be removed from them.
Removes: 7 from R5C2, R5C3 · 5 from R5C2 · 1 from R5C2, R5C3 · 4 from R5C2, R5C3 · 2 from R5C2, R5C3
How to apply it
Spotting the pattern and making the deduction, in order.
- Scan a row, column, or 3×3 box digit by digit rather than cell by cell.
- Identify two digits that only appear as candidates in the exact same two cells of that unit.
- Because the unit needs both numbers, one must land in the first cell and the other in the second cell.
- Neither of those two cells can ever hold any other value.
- Clear all other candidate pencil marks from those two cells, leaving behind a clean pair.
Common mistakes
- Leaving extraneous candidates in the two cells after identifying the pair.
- Missing the pair because one of the cells has four or five candidates written in it.
- Forgetting that both digits must appear in *both* cells and *nowhere else* in that house.
Frequently asked questions
- How is a Hidden Pair different from a Naked Pair?
- In a Naked Pair, the cells contain *only* those two digits ({2, 7} and {2, 7}). In a Hidden Pair, the cells contain other numbers too ({2, 5, 7} and {2, 7, 9}), but 2 and 7 appear nowhere else in the house.
- What do I eliminate when I find a Hidden Pair?
- You eliminate all *other* candidates from those two specific cells. You do not eliminate from other cells in the house.
Related techniques
Put Hidden Pair into practice
Try a puzzle from the Medium tier (Peak Score 31–40).