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A long VH+ by JPF (game 0045)

 
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ravel



Joined: 21 Apr 2006
Posts: 536
PostPosted: Tue Aug 12, 2008 11:30 am    Post subject: A long VH+ by JPF (game 0045) Reply with quote
Code:
 +-------+-------+-------+
 | . . 1 | 2 . . | . . . |
 | . 3 . | . . 4 | 5 . . |
 | 6 . . | . . . | . 2 . |
 +-------+-------+-------+
 | 2 . . | 1 . . | . 6 . |
 | . . . | . . . | . . . |
 | . 5 . | . . 7 | . . 8 |
 +-------+-------+-------+
 | . 4 . | . . . | . . 5 |
 | . . 6 | 9 . . | . 1 . |
 | . . . | . . 3 | 7 . . |
 +-------+-------+-------+ JPF
>>> play online
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
PostPosted: Tue Aug 12, 2008 8:50 pm    Post subject: Reply with quote
Many steps, although not extremely difficult.
Different methods can be used:
- coloring (2,5,6;4,8 )
- xy-wing (and/or UR - not sure if they remove the same candidates)
- w-wing and/or m-wing to finish it off

every elimination hard won...
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
PostPosted: Tue Aug 12, 2008 11:46 pm    Post subject: Reply with quote
As in the neighboring post, this, too, is a "one trick pony." After basics:
Code:
+-----------------+----------------+-----------------+
| 45    78   1    | 2     3578  6  | 3489  3478  349 |
| 9     3    2    | 78    1     4  | 5     78    6   |
| 6     78   45   | 35    3578  9  | 1348  2     134 |
+-----------------+----------------+-----------------+
| 2     9    348  | 1     3458  58 | 34    6     7   |
| 3478  6    3478 | 34    348   2  | 19    5     19  |
| 1     5    34   | 6     9     7  | 2     34    8   |
+-----------------+----------------+-----------------+
|a378   4   a3789 |b78    2     1  | 6     389   5   |
| 3578  2    6    | 9     4578 b58 | 348   1     34  |
|a58    1   a589  |#4-5   6     3  | 7     489   2   |
+-----------------+----------------+-----------------+

There is a 35789 ALS in b7, labeled "a", and a 578 ALS in b8, labeled "b". There is a shared exclusive <7> in r7. The shared common <5>s have a victim marked #, which solves the puzzle. (Sorry again, nataraj!)

As a sort of curiosity, there is a Franken Swordfish on 8 in this grid. The <8>s in r2, b8 and b9 are confined to c4, c8 and r8. So, <8>s can be eliminated from r8c1 and r1c8. However, the 5 X-Wing, which is the likely first step for most, simplifies this pattern to an 8 X-Wing with the same net result on 8s.
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