GridWits
Hard tier Technique 10 of 21 Reference only

Naked Triple

Three cells in a row or column whose candidates combine to exactly three heights — eliminate those heights elsewhere in the line.

The solver does not attempt this technique, so Smart Hint will never suggest it. It is documented because you may still want to spot it yourself.

How it works

  1. 1No one of the first three cells is pinned down, but between them they draw on only three heights: 1, 2 and 3.
  2. 2Three cells, three heights — they take one each, so all three are spoken for.
  3. 3Strike 1, 2 and 3 from the rest of the row. Nothing is settled by it: the last three cells keep two heights apiece, and that's fine.
  4. 4The three cells don't need identical candidate lists — only their union has to be exactly three heights wide. That's the difference between spotting this and missing it.
  5. 5It takes a six-cell line to show this honestly. In a five-cell one the two cells left over are a Hidden Pair with the very same eliminations, and that rung is cheaper — so it, not this, is what you'd actually be using.
1 2 2 3 1 3 1 4 5 2 5 6 3 4 6
  • Height ruled out
  • Relationship — The arrow shows which cells support the deduction.
  • Conclusion — The final arrow lands beside the proved or ruled-out height.
Next in the ladder Hidden Triple →

Three heights only fit in the same three cells of a row or column — strip those cells down to just those three.