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Puzzle 10/02/06 (B)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Feb 06, 2010 3:40 pm    Post subject: Puzzle 10/02/06 (B) Reply with quote

XYZ-Wing alert.

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

Play this puzzle online at the Daily Sudoku site
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Sat Feb 06, 2010 9:16 pm    Post subject: Reply with quote

One stepper:
Quote:
w-wing 94
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Marty R.



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

PostPosted: Sat Feb 06, 2010 10:21 pm    Post subject: Reply with quote

I used a Type 3 UR on 45 with a pseudo cell and an XYZ on 459.
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Wendy W



Joined: 04 Feb 2008
Posts: 144

PostPosted: Sun Feb 07, 2010 12:42 am    Post subject: Reply with quote

Thanks for the hint, Danny.
One-stepper, xyz 459.
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Wendy W



Joined: 04 Feb 2008
Posts: 144

PostPosted: Sun Feb 07, 2010 2:58 pm    Post subject: Reply with quote

Marty, I skipped right over your post, and I see you already said this. (BTW -- remember last weekend when we both solved a puzzle with basics only but then couldn't replicate it? Same thing happened with this one; I needed the xyz on the second try.)
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tlanglet



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

PostPosted: Sun Feb 07, 2010 4:34 pm    Post subject: Reply with quote

While looking for xy-wings, I found a xy-chain:
(9=4)r2c4 - (4=5)r5c4 - (5=2)r5c3 - (2=7)r5c6 - (7=4)r5c2 - (4=9)r6c2; r6c4<>9.

Looking at the chain, I realized that it started and ended with 49, which was really a w-wing with strong link on 4 in r26c5. So my long six cell chain could have been reduced to a four cell w-wing:
(9=4)r2c4 - (4)r2c5 = (4)r6c5 - (4=9)r6c2; r6c4<>9.

Always a surprise somewhere...........

Ted
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