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Diabolical, August 26

 
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Marty R.



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

PostPosted: Sun Aug 28, 2011 5:01 pm    Post subject: Diabolical, August 26 Reply with quote

These are usually pretty easy, but then I ran into this beast. I can see a few unproductive moves, but that's it. I feel like I've made a mistake or am missing something, because it doesn't seem it would be this difficult.

Code:

+----------------+-------------------+------------------+
| 567   9   257  | 3     1     4     | 25   8     256   |
| 468   3   1    | 268   2568  568   | 7    9     246   |
| 4568  568 245  | 268   9     7     | 1    2345  23456 |
+----------------+-------------------+------------------+
| 1     57  8    | 2479  2457  359   | 245  6     2345  |
| 9     56  345  | 12468 24568 13568 | 2458 12345 7     |
| 34567 2   3457 | 14678 45678 13568 | 9    1345  18    |
+----------------+-------------------+------------------+
| 278   78  9    | 5     3     16    | 2468 124   18    |
| 25    1   6    | 489   48    89    | 3    7     25    |
| 358   4   35   | 167   67    2     | 568  15    9     |
+----------------+-------------------+------------------+

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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Sun Aug 28, 2011 9:45 pm    Post subject: Reply with quote

An almost xy-wing does the trick..........

axy-wing(15-8)[r7c9+r9c18]=(3)r9c1-(3=5=1)r9c38-(1=8)r7c9; r7c12,r9c7<>8

Ted
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keith



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

PostPosted: Sun Aug 28, 2011 9:58 pm    Post subject: Reply with quote

I don't see anything. An SS on 1 leads nowhere.

Keith
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Sun Aug 28, 2011 10:37 pm    Post subject: Reply with quote

A second solution is an almost naked pair. It makes the same deletions as the almost xy-wing.

anp(8=35)r9c13-(5=1)r9c8-(1=8)r7c9; r7c12,r9c7<>8

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Aug 29, 2011 4:45 am    Post subject: Reply with quote

Marty, according to my solver, it needs a short chain.

r9c7=8 r7c9=1 r7c6=6 r7c7<>6 r9c7=6; contradiction => r9c7<>8

Regards, Danny

[corrected post to indicate that my solver was used.]
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