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M-wing, oops w-wing

 
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ravel



Joined: 21 Apr 2006
Posts: 536
PostPosted: Thu Jan 17, 2008 9:45 am    Post subject: M-wing, oops w-wing Reply with quote
Code:
 +-------------------+
 | . 1 . . . . . . . |
 | . . 3 . . . . . . |
 | . 2 . 3 . . 4 7 . |
 | . . . 7 . 6 . . 5 |
 | . 3 . 8 . 2 . . . |
 | . . 7 . . . 1 3 . |
 | 8 4 . . . . . . 6 |
 | . . . . . 7 . . 1 |
 | . . . . . . 8 5 . |
 +-------------------+
I hope, this is a genuine M-wing now Smile [edit:]Another oops, i saw the w-wings only later (also one with 2 strong links solved the puzzle) - and the M-wings dont lead to an elimination Sad
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ravel



Joined: 21 Apr 2006
Posts: 536
PostPosted: Thu Jan 17, 2008 3:49 pm    Post subject: Reply with quote
I found this one now, which only needs a M-wing to solve it.
Code:
 +-------------------+
 | . 1 . . . . . . . |
 | . . 3 . . . . . . |
 | . 2 . 9 . . 7 3 . |
 | . . . 5 . 8 . . 4 |
 | . 3 . 4 . 7 . . . |
 | . . 6 . . . 2 5 . |
 | 9 4 . . . . . . 7 |
 | . . . . . 6 . . 5 |
 | . . . . . . 1 8 . |
 +-------------------+
[Added:]In this one i had 2 w-wings and 2 M-wings (but one M-wing solves it alone).
Code:
 +-------------------+
 | . 1 . . . . . . . |
 | . . 4 . . . . . . |
 | . 2 . 3 . . 8 7 . |
 | . . . 7 . 6 . . 1 |
 | . 3 . 4 . 1 . . . |
 | . . 8 . . . 9 6 . |
 | 6 4 . . . . . . 2 |
 | . . . . . 2 . . 7 |
 | . . . . . . 1 5 . |
 +-------------------+
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Johan



Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium
PostPosted: Thu Jan 17, 2008 6:21 pm    Post subject: Reply with quote
Reading Keith's post on M-wing in the chapter 3 section of Remote Pairs, and some variants, I attempted to solve this one with the M-wing technique, so if I

took a shot in the dark, please correct me.

The [16] remote pair in R2C4(C) and in R3C9(A) are joined by the strong links on <1> in R2C8(B) in C8, C can be extended to D by the strong link on <6>, in

C4,which eliminates <6> in R1C8.
Code:

+--------------------------+--------------------------+--------------------------+
| 678        1         9   | 368 D     3478      34   | 5          4-[6]    2    |
| 67         5         3   | 16  C     47        2    | 8        B 146      9    |
| 68         2         4   | 9         58        15   | 7          3      A 16   |
+--------------------------+--------------------------+--------------------------+
| 1          9         2   | 5         6         8    | 3          7        4    |
| 5          3         8   | 4         2         7    | 9          16       16   |
| 4          7         6   | 13        39        139  | 2          5        8    |
+--------------------------+--------------------------+--------------------------+
| 9          4         1   | 38        358       35   | 6          2        7    |
| 3          8         7   | 2         1         6    | 4          9        5    |
| 2          6         5   | 7         49        49   | 1          8        3    |
+--------------------------+--------------------------+--------------------------+
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ravel



Joined: 21 Apr 2006
Posts: 536
PostPosted: Thu Jan 17, 2008 9:13 pm    Post subject: Reply with quote
Yes,
or with the strong link for 6 in row 3 you can eliminate 6 from r2c1, because either r2c4 must be 6 or it is 1 like r3c9 and therefore r3c1=6.
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