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A SH Menneske

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sun Feb 22, 2009 6:23 pm    Post subject: A SH Menneske Reply with quote
I enjoyed this one
Code:
Puzzle: M5913213sh(21)
+-------+-------+-------+
| . . . | . . 6 | . 5 1 |
| . . . | . . . | 4 . . |
| 1 . . | 5 7 3 | . . . |
+-------+-------+-------+
| . . 8 | . 2 . | . 3 . |
| 5 . . | 6 . 8 | . . 7 |
| . 2 . | . 1 . | 8 . . |
+-------+-------+-------+
| . 5 . | 4 6 2 | . . . |
| 4 . . | . . . | . . . |
| 7 . . | . . 1 | 9 . . |
+-------+-------+-------+
Keith
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
PostPosted: Sun Feb 22, 2009 6:51 pm    Post subject: vh Reply with quote
I had to use a UR (45), type 4 (?) with <69> as a virtual cell. Then an xy-chain with <9> pinchers. Anything more direct?

Earl
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sun Feb 22, 2009 7:41 pm    Post subject: Reply with quote
Earl,

I had a Type 3 UR that cleans up C9, exposing a W-wing. After basics:
Code:
+----------------------+----------------------+----------------------+
| 389    3789   39     | 2      4      6      | 37     5      1      |
| 2      37     5      | 1      8      9      | 4      67     36     |
| 1      46     46     | 5      7      3      | 2      89     89     |
+----------------------+----------------------+----------------------+
| 69     1      8      | 7      2      45     | 56     3      4569   |
| 5      349    349    | 6      39     8      | 1      2      7      |
| 369    2      7      | 39     1      45     | 8      469    4569   |
+----------------------+----------------------+----------------------+
| 389    5      139    | 4      6      2      | 37     178    38     |
| 4      368    1236   | 389    359    7      | 56     168    23568  |
| 7      368    236    | 38     35     1      | 9      468    234568 |
+----------------------+----------------------+----------------------+


Keith
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wapati



Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
PostPosted: Sun Feb 22, 2009 7:54 pm    Post subject: Reply with quote
I used a W-wing (39) to set up a finned-x-wing on 3s which allowed the W-wing on 89 that solves it.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sun Feb 22, 2009 8:58 pm    Post subject: Reply with quote
Two steps, both making deletions of digit <3>. First a w-wing <39> with strong link <9> in col <2> plus one addition deletion via a pincer extension, and multi-coloring on <3>.

Ted
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sun Feb 22, 2009 9:07 pm    Post subject: Reply with quote
wapati wrote:
I used a W-wing (39) to set up a finned-x-wing on 3s which allowed the W-wing on 89 that solves it.
I see the W-wing that eliminates one <3>, and another with a coloring extension. I do not see a finned X-wing.

Keith
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wapati



Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
PostPosted: Sun Feb 22, 2009 9:12 pm    Post subject: Reply with quote
Code:
.------------------------.------------------------.------------------------.
| 389     3789   *39     | 2       4       6      |*37      5       1      |
| 2       37      5      | 1       8       9      | 4       67      36     |
| 1       46      46     | 5       7       3      | 2       89      89     |
:------------------------+------------------------+------------------------:
| 69      1       8      | 7       2       45     | 56      3       4569   |
| 5       349     49     | 6       39      8      | 1       2       7      |
| 369     2       7      | 39      1       45     | 8       469     4569   |
:------------------------+------------------------+------------------------:
| 89-3     5     *139    | 4       6       2      |*37      178     38     |
| 4       368    *1236   | 389     359     7      | 56      168     23568  |
| 7       368    *236    | 38      35      1      | 9       468     234568 |
'------------------------'------------------------'------------------------'
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sun Feb 22, 2009 9:47 pm    Post subject: Reply with quote
wapati,

Thank you! A fin of two cells!

By the way, the UR is on <45>. The pseudo-cell <69> makes a quad in C9 with <36>, <89>, <38>. You can eliminate <368> in R89C9.

Keith
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Mon Feb 23, 2009 12:06 am    Post subject: Reply with quote
keith wrote:

I had a Type 3 UR that cleans up C9, exposing a W-wing.

Keith

Keith, I also found this Type 3 UR, but did not (and still do not) find that it exposed a w-wing.

Where was the w-wing exposed by the UR?

Ted
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wapati



Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
PostPosted: Mon Feb 23, 2009 12:16 am    Post subject: Reply with quote
Cleanup after the UR exposes an 89 in r7c1.

Code:
+----------------------+----------------------+----------------------+
| 389    3789   39     | 2      4      6      | 37     5      1      |
| 2      37     5      | 1      8      9      | 4      67     36     |
| 1      46     46     | 5      7      3      | 2      89    #89     |
+----------------------+----------------------+----------------------+
|@69     1      8      | 7      2      45     | 56     3     @4569   |
| 5      349    349    | 6      39     8      | 1      2      7      |
| 369    2      7      | 39     1      45     | 8      469    4569   |
+----------------------+----------------------+----------------------+
|#89-3   5      19-3   | 4      6      2      |*37     178   *38     |
| 4      368    1236   | 389    359    7      | 56     168    25     |
| 7      368    236    | 38     35     1      | 9      468    245    |
+----------------------+----------------------+----------------------+
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Mon Feb 23, 2009 3:23 am    Post subject: Reply with quote
Wapati beat me to it!

After the UR, the <3> in R7 lies in B9, leaving <89> in R7C1.

Taking out <8> in R7C9.

Keith
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Mon Feb 23, 2009 3:37 am    Post subject: Reply with quote
I see, I see.... Thanks!

Code:

*-----------------------------------------------------------*
 | 389   3789  39    | 2     4     6     | 37    5     1     |
 | 2     37    5     | 1     8     9     | 4     67    36    |
 | 1     46    46    | 5     7     3     | 2    *89   #89    |
 |-------------------+-------------------+-------------------|
 | 69    1     8     | 7     2     45    | 56    3     4569  |
 | 5     349   349   | 6     39    8     | 1     2     7     |
 | 369   2     7     | 39    1     45    | 8     469   4569  |
 |-------------------+-------------------+-------------------|
 |*89    5     19    | 4     6     2     | 37    178  3#8    |
 | 4     368   1236  | 389   359   7     | 56    168   25    |
 | 7     368   236   | 38    35    1     | 9     468   245   |
 *-----------------------------------------------------------*

I was just to closed-minded. I was looking at the <89> in r3c8 and the exposed <89> at r7c1 with a strong link <8> in col <9>. This w-wing does not provide any deletions, whereas your w-wing deletes <8> from r7c9 and solves the puzzle.

Thanks again.

Ted
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Mon Feb 23, 2009 7:21 am    Post subject: Reply with quote
tlanglet wrote:
I see, I see.... Thanks!

Code:

*-----------------------------------------------------------*
 | 389   3789  39    | 2     4     6     | 37    5     1     |
 | 2     37    5     | 1     8     9     | 4     67    36    |
 | 1     46    46    | 5     7     3     | 2    *89   #89    |
 |-------------------+-------------------+-------------------|
 | 69    1     8     | 7     2     45    | 56    3     4569  |
 | 5     349   349   | 6     39    8     | 1     2     7     |
 | 369   2     7     | 39    1     45    | 8     469   4569  |
 |-------------------+-------------------+-------------------|
 |*89    5     19    | 4     6     2     | 37    178  3#8    |
 | 4     368   1236  | 389   359   7     | 56    168   25    |
 | 7     368   236   | 38    35    1     | 9     468   245   |
 *-----------------------------------------------------------*

I was just to closed-minded. I was looking at the <89> in r3c8 and the exposed <89> at r7c1 with a strong link <8> in col <9>. This w-wing does not provide any deletions, whereas your w-wing deletes <8> from r7c9 and solves the puzzle.

Thanks again.

Ted


Ted,
the other w-wing on {8,9} via strong links in row 9 on the 8's does make an elimination if you extend the 9 in r7c1 via the 9's in row 4. eliminates the 9 in r6c8.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Mon Feb 23, 2009 12:22 pm    Post subject: Reply with quote
Interesting! A Double W-wing!
Code:
+----------------+----------------+----------------+
| 389  3789 39   | 2    4    6    | 37   5    1    |
| 2    37   5    | 1    8    9    | 4    67   36   |
| 1    46   46   | 5    7    3    | 2    89B  89C@ |
+----------------+----------------+----------------+
| 69#  1    8    | 7    2    45   | 56   3    4569#|
| 5    349  349  | 6    39   8    | 1    2    7    |
| 369  2    7    | 39   1    45   | 8    469  4569 |
+----------------+----------------+----------------+
| 89A  5    19   | 4    6    2    | 37   178  38@  |
| 4    368  1236 | 389  359  7    | 56   168  25   |
| 7    368  236  | 38   35   1    | 9    468  245  |
+----------------+----------------+----------------+

Cells <89> ABC.
Strong links on <8> @@ and <9> ##.

If A is <8>, B is <9>, C is <8>.
If A is <9>, C is <8>, B is <9>.

Solving B and C.

Keith
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