wapati wrote:Many fins, soup perhaps?
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. . 6|. . .|7 . .
8 5 .|. . .|. 3 4
. 4 3|7 . 8|9 5 .
-----+-----+-----
. 8 .|4 . 5|. 9 .
. . 5|. 2 .|3 . .
. . .|3 . 9|. . .
-----+-----+-----
5 . .|. . .|. . 9
. 6 .|. . .|. 8 .
. . .|2 . 7|. . .
Basic techniques + UR Type 1 gets you to
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.---------------.---------------.---------------.
| 129 129 6 | 5 34 34 | 7 12 8 |
| 8 5 7 | 16B 9 2 | 16A 3 4 |
| 12 4 3 | 7 16A 8 | 9 5 126 |
:---------------+---------------+---------------:
| 3 8 12 | 4 167- 5 | 126B 9 1267|
| 1679 179 5 | 8 2 16 | 3 4 167 |
| 1267 127 4 | 3 167 9 | 8 1267 5 |
:---------------+---------------+---------------:
| 5 237 8 | 16 34 16 | 24 27 9 |
| 127 6 12 | 9 5 34 | 124 8 1237|
| 4 13 9 | 2 8 7 | 5 16 136 |
'---------------'---------------'---------------'
where a little coloring on the 6's gives r4c5<>6. Locked candidates then gives r6c8<>6 (as well as r5c9<>6) revealing r9c8=6. From here, we do a little 3D multi-coloring to reveal the following:
[r8c7]=4=[r7c7]-4-[r7c5]-3-[r7c2]=3=[r9c2]=1=[r9c9]-1-[r8c7]
implying r8c7<>1. Other than a little skyscraper on 2 at the end, this solves the puzzle.