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Buffalo sauce with that?

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Fri Jan 18, 2008 10:55 pm    Post subject: Buffalo sauce with that? Reply with quote

Here's a good one, I think ....
Code:
Puzzle: M3639296sh(16)
+-------+-------+-------+
| . 7 . | . 9 . | . . . |
| . . 2 | . 3 . | . . 8 |
| . 5 . | 4 . 2 | . . . |
+-------+-------+-------+
| . . 9 | 3 . 1 | 5 . . |
| 4 2 . | . . . | . 8 1 |
| . . 1 | 2 . 8 | 9 . . |
+-------+-------+-------+
| . . . | 8 . 9 | . 6 . |
| 1 . . | . 5 . | 8 . . |
| . . . | . 1 . | . 5 . |
+-------+-------+-------+

Keith
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

PostPosted: Fri Jan 18, 2008 11:31 pm    Post subject: Good one Reply with quote

After coloring a few times, I needed a long xy-chain to eliminate the 9 in R2C8, which solved the puzzle. Anyone do it without a chain?

Earl


Last edited by Earl on Fri Jan 18, 2008 11:35 pm; edited 1 time in total
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Fri Jan 18, 2008 11:34 pm    Post subject: Reply with quote

Earl,

The hint is in the title. It is a lot of (XY, XYZ) wings.

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sat Jan 19, 2008 2:03 am    Post subject: Reply with quote

Quote:
The hint is in the title. It is a lot of (XY, XYZ) wings.

That was too subtle for me. The sledgehammer approach works better. Wink

I used a W-Wing, an XY-Wing and then an XY-Wing with pincer coloring blew it wide open.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sat Jan 19, 2008 3:22 am    Post subject: Reply with quote

After the basics:
Code:
+-------------------+-------------------+-------------------+
| 8     7     4     | 1     9     6     | 2     3     5     |
| 69    1     2     | 5     3     7     | 46    49    8     |
| 369   5     36    | 4     8     2     | 67    1     679   |
+-------------------+-------------------+-------------------+
| 67    8     9     | 3     467   1     | 5     247   2467  |
| 4     2     367   | 9     67    5     | 367   8     1     |
| 5     36    1     | 2     467   8     | 9     47    3467  |
+-------------------+-------------------+-------------------+
| 37    34    5     | 8     2     9     | 1     6     347   |
| 1     3469  367   | 67    5     34    | 8     2479  23479 |
| 2     3469  8     | 67    1     34    | 347   5     3479  |
+-------------------+-------------------+-------------------+

A beautiful XY-wing <367> takes out <3> in R789C2. Leading, after some work to another nice one:
Code:
+-------------------+-------------------+-------------------+
| 8     7     4     | 1     9     6     | 2     3     5     |
| 69    1     2     | 5     3     7     | 46    49    8     |
| 369   5     36    | 4     8     2     | 67    1     79    |
+-------------------+-------------------+-------------------+
| 67    8     9     | 3     467   1     | 5     247   2467  |
| 4     2     67    | 9     67    5     | 3     8     1     |
| 5     3     1     | 2     467   8     | 9     47    467   |
+-------------------+-------------------+-------------------+
| 37    4     5     | 8     2     9     | 1     6     37    |
| 1     69    37    | 67    5     34    | 8     2479  23479 |
| 2     69    8     | 67    1     34    | 47    5     3479  |

<479> takes out <7> in R46C9.

And, <347> takes out <3> in R9C9.

Finally, an XYZ <479> takes out <7> from R78C9.

The puzzle is done! Very good wings, I thought.

Keith
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Sat Jan 19, 2008 7:54 am    Post subject: Reply with quote

In the initial grid there is a Kite (pivot b4) that removes <3> from r8c9 and makes the final XYZ Wing in Keith's path unnecessary.
[Edit to correct typo]
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Victor



Joined: 29 Sep 2005
Posts: 207
Location: NI

PostPosted: Sun Jan 20, 2008 7:39 pm    Post subject: Reply with quote

Nice puzzle in a nice day for puzzles - good VH also.
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