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Puzzle 10/09/30: C XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Sep 30, 2010 5:06 am    Post subject: Puzzle 10/09/30: C XY Reply with quote

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

Play this puzzle online at the Daily Sudoku site

This is a test.

Solution wrote:
M-Wing 6A (7=4)r1c2 - r3c1 = (4-7)r8c1 = (7)r78c3 => r1c3<>7
M-Wing 7A (7=4)r1c2 - r3c1 = (4-7)r8c1 = (7)r6c1 => r46c2<>7
-or-
L-Wing (7)r1c2 = r46c2 - r6c1 = (7-4)r8c1 = (4)r3c1 => r1c2<>4
L-Wing (7)r1c2 = r1c3 - r78c3 = (7-4)r8c1 = (4)r3c1 => r1c2<>4

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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium

PostPosted: Thu Sep 30, 2010 8:37 pm    Post subject: Reply with quote

Quote:
4-SIS AIC : 8C5 8R5 4R5 4R7 : (8)r8c5=(4)r7c6 : => r8c5<>4
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Marty R.



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

PostPosted: Sat Oct 02, 2010 4:37 am    Post subject: Reply with quote

I used a chain which doesn't technically meet the definition of an XY-Chain because there was a non-bivalue cell. R1c6, r3c12<>4.
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tlanglet



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

PostPosted: Sat Oct 02, 2010 1:35 pm    Post subject: Reply with quote

I spent some time looking first for standard patterns and then for AICs, but the steps I found were not particularly useful; I was headed for a BBDBer. However, my first stab at a ANP did the trick.

ANP(4=16)r23c5-(1=8)r6c5-(8=7)r6c8-r4c8=r4c2-(7=4)r1c2; r1c6, r3c12<>4.

I just looked at Marty's post and realized our deletions are the same; wonder if the chains are also identical?

Ted
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Sat Oct 02, 2010 3:55 pm    Post subject: Reply with quote

A nice ANT also does the job...
Code:
ANT(139):[(7)r6c1=(139)r269c1] - (13=4)r3c1 - (4=7)r1c2 ; r46c2<>7
(Equivalent to one of the m-wings Danny lists)
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