Mental Royale
All techniques

Naked Triple

Working with Candidates7 / 32

Three cells sharing three candidates between them.

Three cells in a unit whose candidates, taken together, contain only three distinct digits form a naked triple. The cells don't all need all three digits — {1,2}, {2,3} and {1,3} works just as well as three full sets.

The three digits are locked into those three cells, so the rest of the unit drops them. Triples are easy to overlook precisely because the cells can look so different from one another.

See it in action

1
123456789
2
3
5
4
123456789
123456789
9
4
123456789
123456789
7
8
9
1
2
123456789
9
123456789
123456789
6
2
1
4
3
123456789
123456789
4
123456789
2
123456789
6
5
123456789
1
123456789
123456789
123456789
9
123456789
5
123456789
4
3
123456789
123456789
123456789
4
123456789
8
123456789
123456789
123456789
5
9
1
8
123456789
3
123456789
7
123456789
3
123456789
123456789
1
123456789
2
9
5
123456789
6
2
4
5
9
7
3
1
8

Step 1 of 4

The setup

In units with several two- and three-candidate cells, try combining three of them: do their candidates add up to just three digits? Step through this real position to see it happen.

Practice

Find the naked triple and remove its three digits from the rest of the unit.

Drill 1 of 29

Tap a cell, then the candidate digit you want to remove.