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au tough 04/21/12

 
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Sat Apr 21, 2012 5:38 am    Post subject: au tough 04/21/12 Reply with quote
Code:

 *-----------*
 |...|..7|...|
 |7..|..3|.29|
 |..4|...|..1|
 |---+---+---|
 |85.|4..|...|
 |.6.|...|.7.|
 |...|..9|.43|
 |---+---+---|
 |5..|...|2..|
 |19.|8..|..4|
 |...|5..|...|
 *-----------*
 

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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sat Apr 21, 2012 6:49 pm    Post subject: Reply with quote
M-Wing (26). R4c9=2 proves r8c6=2. If r8c6<>6, r8c78=6; r7c9<>6.

Code:

+-------------+-------------+-----------------+
| 369 1   256 | 29 4568 7   | 34568 3568  568 |
| 7   8   56  | 1  456  3   | 456   2     9   |
| 369 23  4   | 29 568  58  | 7     3568  1   |
+-------------+-------------+-----------------+
| 8   5   3   | 4  7    12  | 169   169   26  |
| 4   6   9   | 3  12   58  | 158   7     258 |
| 2   7   1   | 6  58   9   | 58    4     3   |
+-------------+-------------+-----------------+
| 5   34  68  | 7  139  14  | 2     139   68  |
| 1   9   7   | 8  23   26  | 356   356   4   |
| 36  234 268 | 5  139  146 | 13689 13689 7   |
+-------------+-------------+-----------------+

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 Apr 21, 2012 7:09 pm    Post subject: Reply with quote
Marty R. wrote:
M-Wing (26). R4c9=2 proves r8c6=2. If r8c6<>6, r8c78=6; r7c9<>6.

Nice! Cool

I found another wing. I still don't know what kind it is. Confused
Code:

 *--------------------------------------------------------------------*
 | 369    1      256    | 29     4568   7      | 34568  3568   568    |
 | 7      8      56     | 1      456    3      | 456    2      9      |
 | 369    23     4      | 29     568    58     | 7      3568   1      |
 |----------------------+----------------------+----------------------|
 | 8      5      3      | 4      7      12     | 169    169    26     |
 | 4      6      9      | 3      12     58     | 158    7      258    |
 | 2      7      1      | 6      58     9      | 58     4      3      |
 |----------------------+----------------------+----------------------|
 | 5      34    b68     | 7      139   c14     | 2      139    68     |
 | 1      9      7      | 8      23     26     | 356    356    4      |
 |a36     234    268    | 5      139   d14-6   | 13689  13689  7      |
 *--------------------------------------------------------------------*
?-wing
(6=3)r9c1-(3=4)r7c2-r7c6=(4)r9c6 => r9c6<>6:
stte

Another of those "mystery wings"
3-SIS using bivalue(XY), bivalue(YZ), and bilocation(Z).
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