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Puzzle 10/03/03 (C)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Wed Mar 03, 2010 4:00 pm    Post subject: Puzzle 10/03/03 (C) Reply with quote
Multiple choices for advanced step.

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

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: Thu Mar 04, 2010 7:57 am    Post subject: Reply with quote
My choice was:
Quote:
w-wing 25
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Thu Mar 04, 2010 11:46 pm    Post subject: Reply with quote
My number of moves was 400% more than Dan's. I used an X, W, Skyscraper, coloring and XY-Chain.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Fri Mar 05, 2010 2:19 am    Post subject: Reply with quote
M-wings seem to be the topic of the day recently so that is what I started looking for, and to my amazement I believe that I found one but I do not know how to easily describe it. Crudely, it is the three 36s, in r1c8, then r8c7, then r7c8 plus the strong link on 6 in r4c8. This sequence deletes 6 in r4c1.
(As an AIC: (6=3)r8c1 - r8c7 = r7c8 - (3=6)r4c8; r4c1<>6.) This sets up the next move.

An AIC I found by extending the vertex of a potential xy-wing.
(5=2)r4c1 - r5c1 = r5c9 - (2=6)r3c9 - (6=5)r3c7; r3c1|r4c7<>5.

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Fri Mar 05, 2010 2:39 am    Post subject: Reply with quote
Quote:
Crudely, it is the three 36s, in r1c8, then r8c7, then r7c8 plus the strong link on 6 in r4c8. This sequence deletes 6 in r4c1.
(As an AIC: (6=3)r8c1 - r8c7 = r7c8 - (3=6)r4c8; r4c1<>6.) This sets up the next move.


Ted, your prose first mentions r1c8, but the notation is r8c1. If the notation is correct, then it looks like a standard M-Wing save for the fact that all three cells were 36. If the middle cell were, say, 23, you'd probably say the 36 cells were connected by strong links on 3 and you extended the 6. It also seems like it could be a simple coloring chain on 6. Or maybe I'm missing something.
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strmckr



Joined: 18 Aug 2009
Posts: 64
PostPosted: Fri Mar 05, 2010 6:21 am    Post subject: Reply with quote
i went with a s-wing Smile (after ssts)

5- r1c3 =5= r6c3 -5- r4c1 -2- r4c8 =2= r1c8 -2 => r1c3<>2, r1c8<>5
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Mar 05, 2010 7:10 pm    Post subject: Reply with quote
take your pick for the final step!

Code:
   c17   X-Wing                          <> 5    r3c3,r4c38   -or-
 r16     X-Wing                          <> 5    r3c3,r4c38

   c38   X-Wing                          <> 6    r4c17

W-Wing (2=5)r1c8 - r1c3 = r3c1 - (5=2)r4c1     =>  r4c8<>2
W-Wing (5=2)r1c3 - r1c8 = r4c8 - (2=5)r4c1     =>  r3c1,r6c3<>5
M-Wing (5=2)r4c1 - r4c8 = (2-5)r1c8 = (5)r3c7  =>  r3c1,r4c7<>5
M-Wing (5=2)r4c1 - r4c8 = (2-5)r1c8 = (5)r6c8  =>  r4c7,r6c3<>5
 +-----------------------------------------------------+
 |  4    7    25   |  16   16   8    |  9    25   3    |
 |  9    6    1    |  5    3    2    |  7    4    8    |
 |  235  8    23   |  7    9    4    |  56   1    26   |
 |-----------------+-----------------+-----------------|
 |  25   14   246  |  9    48   13   |  358  26   7    |
 |  26   149  7    |  48   5    13   |  38   39   26   |
 |  8    3    59   |  26   26   7    |  4    59   1    |
 |-----------------+-----------------+-----------------|
 |  1    5    368  |  38   7    9    |  2    36   4    |
 |  36   2    48   |  148  148  5    |  36   7    9    |
 |  7    49   349  |  234  24   6    |  1    8    5    |
 +-----------------------------------------------------+
 # 47 eliminations remain
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