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Puzzle 10/09/18: B

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Sep 18, 2010 4:58 am    Post subject: Puzzle 10/09/18: B Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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peterj



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

PostPosted: Sat Sep 18, 2010 9:40 am    Post subject: Reply with quote

One interpretation of the 2/3 SL..
Quote:
s-wing(23) (3)r1c4=r1c9 - (3=2)r8c9 - (2)r2c9=r2c4 ; r1c4<>2
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JC Van Hay



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

PostPosted: Sat Sep 18, 2010 10:13 am    Post subject: Reply with quote

A longer single lazy step ...
Quote:
5-SIS AIC : 8C6 3C6 3B9 2C9 9R2 : (8)r1c6=(9)r2c4 : => r1c6<>9

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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Sep 19, 2010 12:33 am    Post subject: Reply with quote

While reviewing this puzzle, I noted the similarity between Peter's S-Wing and my solver's M-Wing.

Code:
 M-Wing 2B (2=3)r8c9 - r1c9 = (3-2)r1c4 = (2)r2c4  =>  r2c9<>2

Then, I started examining the <18> UR eliminations and had a feeling that the UR was part of a larger DP in [band 1].
Accept this with a grain of salt!!!

Code:
 <1478> DP r13c1359
 (3)r13c9             - (3)r3c8
 (6)r3c5 - (6=3)r3c4  - (3)r3c8
 +-----------------------------------------------------+
 | *148  29  *147  |  239 *18   89   |  5    6   *47+3 |
 |  6    3    5    |  29   7    4    |  1    8    29   |
 | *148  29  *147  |  36  *18+6 5    |  29   7-3 *47+3 |
 |-----------------+-----------------+-----------------|
 |  9    5    2    |  7    38   38   |  4    1    6    |
 |  3    4    6    |  1    5    2    |  8    79   79   |
 |  7    1    8    |  69   4    69   |  3    2    5    |
 |-----------------+-----------------+-----------------|
 |  2    8    3    |  4    9    7    |  6    5    1    |
 |  5    6    9    |  8    23   1    |  7    4    23   |
 |  14   7    14   |  5    236  36   |  29   39   8    |
 +-----------------------------------------------------+
 # 40 eliminations remain
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peterj



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

PostPosted: Sun Sep 19, 2010 7:47 am    Post subject: Reply with quote

daj95376 wrote:
Accept this with a grain of salt!!!

Danny, is salt needed? Fwiw, it looks good to me. Great spot!

My only reference on the "when is a pattern a MUG?" is myths article here. My interpretation would be that this is a "permeable" MUG. The external cells that can influence the DP are (14)r9c13, (8)r4c5, (7)r3c8 and (7)r5c9. If you consider each of these in turn...

(1)r9c1,(4)r9c2 collapses the MUG to a BUG-Lite (48),(14),(18),(47)

(4)r9c1,(1)r9c2 collapses the MUG to a UR(18) and UR(47)

(8)r4c5 leads to a zero-solution with two 1s in b2

(7)r3c8 and (7)r5c9 leads to a zero-solution with two 3s in b3

So if I understand the original post (and assuming it is right!) then this looks like a nice permeable MUG with the DP killers leading to the elimination you describe.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Sep 19, 2010 10:55 am    Post subject: Reply with quote

peterj wrote:
Danny, is salt needed? Fwiw, it looks good to me. Great spot!

Thanks Peter for confirming that a DP exists. Thanks also for the reference link. Unfortunately, I've read that link (and others) about DPs ... only to come away with a headache and no comprehension of the subject matter.

In this puzzle, I saw:

*) X-Wing on <7> in [band 1]
*) X-Wing on <8> in [band 1]
*) "triple-wing" on <1> overlaying <7/8> X-Wings
*) "triple-wing" on <4> overlaying <7/8> X-Wings

So, I stuck my neck out and called it a DP because it was too "hinkey" (sic?) not to be a DP. _ Laughing _

Regards, Danny

My latest headache was posted here:

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

The 4-cell DP in [b14] is obvious -- even to me. The 7-cell DP gave me insomnia.

In my mind, performing a cycle on the (89) DP in [band 3] forces an (87) DP in [stack 3].

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

Now, I have 3x 4-cell DPs and no other mapping is needed to address the problem cells.
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Marty R.



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

PostPosted: Sun Sep 19, 2010 12:55 pm    Post subject: Reply with quote

An old-fashioned XY-Wing (369), pivot r9c6, flightless with pincer transport; r6c4, r1c6<>9.
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