All of them only reduce to 9.2 skfr with the TH, but with a small extension they collapse to singles.
The first one after TH (-789r1c1) and basics:
- Code: Select all
.------------------.---------------.----------------.
| 6 34 34 | 789 589 57 |#789 1 2 |
|x789 y789 1 | 6 2 3 | 4 5 z789 |
| 2 5 z789 | 789 4 1 | 3 #789 6 |
:------------------+---------------+----------------:
| 789 24789 4789 | 24 3 46 | 1 6789 5 |
| 1 2349 6 | 5 7 8 | 29 39 49 |
| 5 23478 3478 | 124 16 9 | 278 3678 478 |
:------------------+---------------+----------------:
|#789 6 5 | 1789 189 2 |#789 4 3 |
| 3 1 #789 | 4789 689 46 | 5 2 #789 |
| 4 #789 2 | 3 589 57 | 6 #789 1 |
'------------------'---------------'----------------'
Chaining through three anti-diagonal boxes (b793), vertical parity in b3 is opposite to horizontal parity in b1 (permutation xyz). With z second the permutation must be xzy.
- Code: Select all
.------------------.---------------.----------------.
| 6 34 34 | 789 589 57 |x789 1 2 |
|x789 y789 1 | 6 2 3 | 4 5 z789 |
| 2 5 z789 |a789 4 1 | 3 y789 6 |
:------------------+---------------+----------------:
| 789 24789 4789 | 24 3 46 | 1 6789 5 |
| 1 2349 6 | 5 7 8 | 29 39 49 |
| 5 23478 3478 | 124 16 9 | 278 3678 478 |
:------------------+---------------+----------------:
| 789 6 5 | 1789 x89–1 2 | 789 4 3 |
| 3 1 789 | 4789 689 46 | 5 2 789 |
| 4 789 2 | 3 589 57 | 6 789 1 |
'------------------'---------------'----------------'
In b2, x is forced into r3c4, then in r7 into r7c5 => -1r7c5, 9.1 skfr
- Code: Select all
.------------------.--------------.---------------.
| 6 34 34 | 789 589 57 |x789 1 2 |
|x789 y789 1 | 6 2 3 | 4 5 z789 |
| 2 5 z789 |x789 4 1 | 3 y789 6 |
:------------------+--------------+---------------:
|#789 24789 4789 | 24 3 6 | 1 #789 5 |
| 1 249 6 | 5 7 8 | 29 3 49 |
| 5 23478 3478 | 24 1 9 | 278 6 478 |
:------------------+--------------+---------------:
|#789 6 5 | 1 x89 2 | 789 4 3 |
| 3 1 789 | 789 6 4 | 5 2 789 |
| 4 789 2 | 3 589 57 | 6 #789 1 |
'------------------'--------------'---------------'
skyscraper zc18\r47b9 => -zr7c7
HS zb9 (r9c8), xb9 (r8c9), xb6 (r4c8), xb7 (r9c2), xb4 (r6c3)
x must appear in both r6c3 and r7c5 => x=8, stte
Marek
