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VH+UR+w-wing by Tarek

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ravel

Joined: 21 Apr 2006
Posts: 536

Posted: Mon Apr 28, 2008 10:29 am Post subject: VH+UR+w-wing by Tarek

Code:

+-------+-------+-------+
| 5 7 . | . . . | . 8 3 |
| 1 . . | . . . | . . 6 |
| . . . | . 4 . | . . . |
+-------+-------+-------+
| . . . | 7 . 1 | . . . |
| . . 9 | . . . | 6 . . |
| . . . | 3 . 4 | . . . |
+-------+-------+-------+
| . . . | . 2 . | . . . |
| 7 . . | . . . | . . 8 |
| 8 2 . | . . . | . 1 7 |
+-------+-------+-------+

>>> play online

Victor

Joined: 29 Sep 2005
Posts: 207
Location: NI

Posted: Mon Apr 28, 2008 8:59 pm Post subject:

NIce puzzle. Inter alia, there's a 6-point x-cycle (fishy cycle? / turbot fish?) in 9s in there. I did find a sort of M-wing, but didn't see the W-wing.

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Mon Apr 28, 2008 10:36 pm Post subject:

after basics

Code:

.---------------------.---------------------.---------------------.
| 5 7 46 | 69 1 2 | 49 8 3 |
| 1 349 #2348 | 59 7 #38 | 2459 2459 6 |
| 269 369 #2368 | 569 4 # 38 | 7 259 1 |
:---------------------+---------------------+---------------------:
| 246 456 2456 | 7 69 1 | 8 3 29 |
| 3 1 9 | 2 8 5 | 6 7 4 |
| 26 8 7 | 3 69 4 | 1 59 259 |
:---------------------+---------------------+---------------------:
| 469 34569 1 | 8 2 7 | 3459 4569 59 |
| 7 34569 3456 | 1 35 69 | 23459 24569 8 |
| 8 2 356 | 4 35 69 | 359 1 7 |
'---------------------'---------------------'---------------------'

the UR on {3,8} removes the 3's in r23c3

that opens up the {3,5} UR in r89c25 which removes the 5's in r89c2

leaves this

Code:

.------------------.------------------.------------------.
| 5 7 46 |*69 1 2 |*49 8 3 |
| 1 349 28 |#59 7 38 | 24-59 2459 6 |
| 69 369 28 | 569 4 38 | 7 259 1 |
:------------------+------------------+------------------:
| 246 46 5 | 7 69 1 | 8 3 29 |
| 3 1 9 | 2 8 5 | 6 7 4 |
| 26 8 7 | 3 69 4 | 1 59 259 |
:------------------+------------------+------------------:
| 469 4569 1 | 8 2 7 | 3 46 59 |
| 7 4569 346 | 1 35 69 | 24 246 8 |
| 8 2 36 | 4 35 69 |#59 1 7 |
'------------------'------------------'------------------'

w-wing strong link on 9 in row 1, with the {5,9} pair in r2c4 and r9c7 removes the 5 in r2c7...

solves it.

Victor

Joined: 29 Sep 2005
Posts: 207
Location: NI

Posted: Wed Apr 30, 2008 4:48 pm Post subject:

Quote:

solves it.

says S_N. Quite right! - I've forgotten how I did it, but it seemed to be more complicated.

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