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Puzzle 10/10/27: C XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Wed Oct 27, 2010 4:06 am    Post subject: Puzzle 10/10/27: C XY Reply with quote
Code:
 +-----------------------+
 | 7 . . | 2 9 . | . . . |
 | . 2 8 | 5 . . | . . . |
 | . 9 . | 7 . 3 | 2 . . |
 |-------+-------+-------|
 | 8 7 6 | 3 5 9 | . . . |
 | 5 . . | 1 6 . | 8 7 . |
 | . . 1 | 8 . . | 6 . . |
 |-------+-------+-------|
 | . . 7 | . 2 5 | 9 1 . |
 | . . . | . 3 . | 4 8 . |
 | . . . | . . . | . . 7 |
 +-----------------------+

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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Wed Oct 27, 2010 3:04 pm    Post subject: Reply with quote
I believe that a shorter sequence is available...........

Quote:
xy-wing 35-6 vertex r9c7; r7c1,r9c8<>6
xyz-wing (345)r1c3; r1c2<>5
x-wing 3
AUR(45)r13c38 external SIS r1c9=4,r9c3=4,r1c7=5; r1c3<>4
(4)r1c9;
||
(4)r9c3;
(5)r1c7-(5=3)r9c7-(3=4)r9c4;
BUG+1; r2c9=3

Ted
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Wed Oct 27, 2010 3:50 pm    Post subject: Reply with quote
Three steps...
Quote:
x-wing(3)
xyz-wing(34-5) r1c3 ; r1c2<>5
xy-chain ; (6=3)r7c9 - (3=9)r5c9 - (9=2)r5c3 - (2=9)r8c3 - (9=6)r8c4 ; r7c4<>6
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Thu Oct 28, 2010 7:52 pm    Post subject: Reply with quote
I played the XYZ-Wing (345), couple of ERs (3,3) and the X-Wing (3) and seemed to hit the brick wall. Then I found an XY-Chain, starting in r7c9 as did Peter's, and eliminated a couple of 6s. But I then needed to extend the chain to force r9c8<>6.
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