Three cells' candidates total three digits → erase those three from the rest of the unit.
Technique 8 in the order the hint searches · difficultyVery hard · up to intersections and triples
The naked pair with one more cell. If the candidates written across three cells of the same unit come to only 1, 4 and 9 between them, those three cells share out the 1, 4 and 9.
Look for a combination whose union is three
This is where people go wrong most often — the three cells do not each need to hold 1, 4 and 9. Two apiece, like 1·4 / 4·9 / 1·9, still unions to three and still works. Restricting yourself to cells with two or three candidates makes the combinations manageable.
This is how the hint puts it
The three cells r7c7, r7c9 and r9c9 in the bottom-right box can hold only 1, 3 and 4. Three digits fill three cells, so 3 comes off the other cells of the same box.
Three cells use up all three digits
In that unit, the homes for 6, 7 and 9 are settled inside these three cells. If another cell in the line took one of the three, one of the trio would have nowhere to go. It's exactly the pair's logic stretched by one cell.
It belongs to Very hard, but puzzles where it is genuinely the deciding move are rare. Across 300 generated puzzles it came up five times.
Puzzles where this technique decides it
Four puzzles that won't give up the next move until you reach Naked Triple. Press a number to open it.
- Practice 1 ·
3-3173484 - Practice 2 ·
3-1480767 - Practice 3 ·
3-5402616 - Practice 4 ·
3-3709899