German triplets
(Published on 15. July 2025, 20:45 by Adrian71)
- Normal Sudoku rules apply
- German triplets are formed by three digits on a straight line that follow German whisper rules, i.e. adjacent digits on the line differ by at least 5
- All German triplets are given and indicated by green lines
- Digits separated by a black dot have a ratio 1:2 (not all black dots are given)
Other triplet puzzles:
X triplets
X triplets, halvers edition
Region triplets
Solution code: The digits of row 1
Comments
on 25. July 2025, 21:31 by jennyaa
@dzamie r9c567 could be something like 361. It is not a german triple, because one of the differences is less than 5. But the polarities still alternate, so you can't conclude that r9c56 have the same polarity.
on 25. July 2025, 20:49 by dzamie
I must be misinterpreting the negative constraint (line 3):
* r9c5 must match r9c6's low-high polarity to avoid r9c5-7 being a triplet
* r7c5 has matching polarity, and r8c5 has opposite, since they're on a triplet line
* r7c4 has matching polarity, to avoid r7c4-r9c6 being a triplet
* r9c4 has matching polarity due to being on a triplet with r7c4
* Box 8 now has five numbers that are either in [1234] or [6789]: r7c4-5, r9c4-6.
What am I missing in the rules? This is a really fast contradiction.
