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Puzzle 11/06/06: A XY (BBDB?)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Tue Jun 07, 2011 1:17 am    Post subject: Puzzle 11/06/06: A XY (BBDB?) Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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peterj



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

PostPosted: Tue Jun 07, 2011 8:08 am    Post subject: Reply with quote

A rather long xy-chain with a "twist" undoes it...
Quote:
(2=3)r1c3 - (3=9)r1c4 - BUG-Lite(35-23-25)r258c46[(9)r2c4=(4)r8c4] - (4=2)r9c4 - (2=5)r8c6 - (5=3)r2c6 - (3=2)r2c8 ; r1c9<>2, r2c13<>2

Another way of thinking of it is as an almost-w-wing(23) where the strong link in the DP makes the fin cover the same eliminations
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Marty R.



Joined: 12 Feb 2006
Posts: 5181
Location: Rochester, NY, USA

PostPosted: Wed Jun 08, 2011 4:17 am    Post subject: Reply with quote

Potential 35-23-25 DP in boxes 258. Either r2c4=9 or r8c4=4. Common outcome, r6c8=3.
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Wed Jun 08, 2011 5:20 am    Post subject: Reply with quote

This puzzle was about grouped strong links!

Code:
 after basics
 +-----------------------------------------------------------------------+
 |  8      5      23     |  39     6      7      |  1      4      239    |
 |  1239   7      123    |  359    4      35     |  8      23     6      |
 |  349    349    6      |  1      2      8      |  5      7      39     |
 |-----------------------+-----------------------+-----------------------|
 |  123    123    9      |  7      5      4      |  6      8      23     |
 |  6      8      7      |  23     1      23     |  4      9      5      |
 |  5      234    234    |  6      8      9      |  7      23     1      |
 |-----------------------+-----------------------+-----------------------|
 |  7      23     5      |  8      9      1      |  23     6      4      |
 |  24     6      8      |  245    3      25     |  9      1      7      |
 |  12349  12349  1234   |  24     7      6      |  23     5      8      |
 +-----------------------------------------------------------------------+
 # 49 eliminations remain

 M-Wing 6A: (3=9)r3c9 - r1c9  = (9-3)r1c4  = (3)r2c46   =>  r2c8<>3
 M-Wing 7B: (3=9)r1c4 - r1c9  = (9-3)r3c9  = (3)r3c12   =>  r1c3<>3
 W-Wing:    (2=3)r1c3 - r3c12 =      r3c9  - (3=2)r4c9  =>  r1c9<>2
 W-Wing:    (2=3)r1c3 - r3c12 =      r3c9  - (3=2)r2c8  =>  r1c9,r2c13<>2
 W-Wing:    (2=3)r1c3 - r1c4  =      r2c46 - (3=2)r2c8  =>  r1c9,r2c13<>2
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Wed Jun 08, 2011 1:28 pm    Post subject: Reply with quote

I initially spotted the "almost Bug-Lite"(235)r258c6, but made a second pass when I noticed that Marty had already posted the same solution.

How about a w-wing(23)r1c3|r4c9 with grouped SL(3)r3c129; r1c9<>2

Ted

[Edit: I started the puzzle yesterday prior to Danny's post, and did not check today to see if additional posts had been made. My solution is included in the list of grouped strong link provided by Danny.]
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Wed Jun 08, 2011 3:24 pm    Post subject: Reply with quote

I should have waited longer before deciding to include my post. Sorry!!!
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