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The generalized m-wing (gm-wing): simple recipe
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sun Sep 18, 2011 3:37 am    Post subject: Reply with quote

Bud wrote:
Thanks Marty,
The example in the link looked like a pattern and I was able to follow Keith's logic. But the example here is completely different and still looks like an example of XY-Chain forcing.

Bud
Let's try this again. Here's how I find these gM-wings:
Code:
+----------------+----------------+----------------+
| 9    6    2    | 378b 5    37   | 48c  1    34   |
| 8    5    4    | 123  6    13   | 9    7    23   |
| 7    1    3    | 28   9    4    | 5    68   26   |
+----------------+----------------+----------------+
| 3    49   78   | 5    1    67   | 2    4689 469  |
| 1    2    6    | 9    4    8    | 3    5    7    |
| 5    49   78a  | 67   3    2    |4-8   4689 1    |
+----------------+----------------+----------------+
| 2    7    1    | 34   8    35   | 6    49   459  |
| 46   3    5    | 46   7    9    | 1    2    8    |
| 46   8    9    | 146  2    156  | 7    3    45   |
+----------------+----------------+----------------+
(This is Nataraj' example.) Start with a bivalue cell, for example:

7 in a forces 7 in b. BC is a strong link on 8. Not 8 in b forces 8 in c. So:

1) a may be 8, or
2) a may be 7. In that case, b is 7 and c is 8. ac are pincers on 8.

I think these gM-wings are easy to find, and they are much more common than my original classic M-wing.

But, I do not see others using them. They are not extra work - I look for them along with W-wings and other remote pair variants.

Keith
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