Naked Triple

Basic

Three cells in a unit share candidates that are subsets of the same three digits.

How It Works

When three cells in a unit have candidates that together span exactly three digits (each cell holds a subset of those three), those three digits can be eliminated from all other cells in the unit.

Example: {2,5}, {2,8}, {5,8} → All are subsets of {2,5,8} → Eliminate 2, 5, 8 from other cells.

Example

75
14
862391
36
24
917852
89
134
534627
61
69
328574
27
49
653189
54
159
791263
43
479
186725
92
19
475638
18
148
249916
Key cells of the techniqueCells where elimination is appliedCandidate to be placedEliminated candidate (crossed out)

Column 3: R1C3={1,4}, R5C3={1,9}, R7C3={4,9} → Union {1,4,9} → Eliminate 1, 4, 9 from other cells in column 3.

Practice with a Real Puzzle

This 9×9 puzzle is solver-verified to require this technique on its solution path.

Easy32 givens