Three digits' homes total three cells → erase every other candidate from those cells.
Technique 9 in the order the hint searches · difficultyVery hard · up to intersections and triples
The hidden pair with one more digit. If the cells that could take a 1, a 2 or a 6 in some unit come to only three places between them, those three cells belong to 1, 2 and 6.
Add up where three digits can go
Keep only the digits with two or three homes and try them in groups of three. If three digits' places union to exactly three cells, you have one. There are far too many combinations to work through by hand — this is realistically the assistant's job.
This is how the hint puts it
In row 5, the three digits 7, 8 and 9 can only go in r5c7, r5c8 and r5c9. The three share those three cells, so the leftover candidates 3, 4 and 6 come off them.
Three digits reserve three cells
Each of 1, 2 and 6 must appear somewhere in that unit, and there are only those three cells between them. The three cells have to be filled by the trio, so any other candidate written there has nowhere to stand.
Across 300 generated puzzles it came up once — running into one is a stroke of luck.
Puzzles where this technique decides it
Four puzzles that won't give up the next move until you reach Hidden Triple. Press a number to open it.
- Practice 1 ·
3-5939031 - Practice 2 ·
3-8879281 - Practice 3 ·
3-5466023 - Practice 4 ·
3-2052765