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Very hard plus?

 
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keith



Joined: 19 Sep 2005
Posts: 3150
Location: near Detroit, Michigan, USA

PostPosted: Sun Jul 15, 2007 6:22 pm    Post subject: Very hard plus? Reply with quote

I found this one, surprisingly, in a advertising flyer. Pretty good!

(And yes, I see it is not symmetric.)

Keith

Code:
Puzzle: Flyer
+-------+-------+-------+
| . 2 . | 6 . . | 8 1 . |
| . 9 . | . . . | . . 5 |
| 1 8 7 | . . . | 4 . . |
+-------+-------+-------+
| . . . | 4 . . | . . 1 |
| . . 1 | . . . | 3 4 . |
| 3 . . | . 5 . | . 7 6 |
+-------+-------+-------+
| 4 1 . | . 8 9 | . 5 . |
| . . 8 | 5 4 . | 1 . . |
| . . . | 7 . . | . 8 . |
+-------+-------+-------+
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Asellus



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

PostPosted: Sun Jul 15, 2007 8:12 pm    Post subject: Reply with quote

Several possible moves in this one. But, I found one step that solves the whole thing. Only hint: it involves strong links and bivalues.
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keith



Joined: 19 Sep 2005
Posts: 3150
Location: near Detroit, Michigan, USA

PostPosted: Sun Jul 15, 2007 8:24 pm    Post subject: Reply with quote

I had a couple of UR's, don't know if they were needed. And, as I recall, an XY-wing.

Then I got to a point where there are no UR's, no X-wings or other fish, no XY- or XYZ-wings, no coloring or skyscrapers that that I could see.

What's left? Our new friend, the W-wing!.

Keith


Last edited by keith on Sun Jul 15, 2007 8:44 pm; edited 1 time in total
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Asellus



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

PostPosted: Sun Jul 15, 2007 8:38 pm    Post subject: Reply with quote

Yes, a W-Wing. The one I found is "robust," i.e. both X and Y are strong links... though this makes no difference to the solution. It was also available after basic methods and solves the entire puzzle.

I found an XY-Wing and a Finned X-Wing (maybe some other stuff, don't recall) that helped, but didn't solve it.
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