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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Tue Sep 04, 2007 4:52 am Post subject: XY-Wing Chain |
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This is the first one I've seen in awhile. When you have a chain of an odd number of cells with the same pair, the start and end of the chain act as the XY cell of an XY-Wing. Note the chain (ABC) of 35 cells in boxes 2 and 3. One end (A) sees D and the other end (C) sees E. The 2s in D and E act as pincers and knock out the 2 from r7c6. Not much help, but I thought I'd post it since it comes up only occasionally and never gets discussed here.
Code: |
+--------------+------------+----------+
| 6 8 1 | 7 4 35A | 35B 2 9 |
| 35 9 2 | 356 1 36 | 8 7 4 |
| 357 57 4 | 8 2 9 | 6 1 35C|
+--------------+------------+----------+
| 4 257 8 | 9 6 25D | 257 3 1 |
| 257 3 57 | 4 8 1 | 257 9 6 |
| 1 6 9 | 25 3 7 | 4 8 25 |
+--------------+------------+----------+
| 278 27 367 | 1 5 268 | 9 4 23E|
| 9 1 36 | 236 7 4 | 23 5 8 |
| 258 4 35 | 23 9 238 | 1 6 7 |
+--------------+------------+----------+
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Wed Sep 05, 2007 11:20 pm Post subject: Extended XY-wing? |
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Marty is exactly correct. I have used this technique a couple of times in a couple of years.
If an XY-wing is XZ-XY-YZ, it excludes Z at any cell that "sees" both of the end "pincer" cells. Then, XZ-XY-YX-XY-YZ makes the same exclusions.
I might call it an extended XY_wing. Except, we do not need any new terminology.
Name claims, anyone?
Keith |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Thu Sep 06, 2007 12:46 am Post subject: |
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I first read about it at Scanraid, where it is called a Y-Wing Chain. However, he calls the XY-Wing a Y-Wing, so he's really calling this technique an XY-Wing Chain in the language most of us use.
I've used it four or five times and one of those times it was a five-cell chain. |
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TKiel
Joined: 22 Feb 2006 Posts: 292 Location: Kalamazoo, MI
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Posted: Sun Sep 16, 2007 3:57 pm Post subject: |
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Hey Marty,
This is the thread I was fuzzily remembering when I referred to an "extended XY-wing" in this thread, but I thought you originated that term, not Keith. And apparently my remembering was really fuzzy, because what I used there and what you used here aren't the exactly the same.
Since I often complain about others use of what I consider redundant or unnecessary terminology, and then go and do it myself in an incorrect manner to boot, I guess I should be banned from posting for a week and made to do only puzzles with hidden singles. |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sun Sep 16, 2007 9:11 pm Post subject: |
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Quote: | but I thought you originated that term |
I'm sorry to say that when it comes to Sudoku, I have originated NOTHING. |
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Asellus
Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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Posted: Mon Sep 17, 2007 1:23 am Post subject: |
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For my 2 cents...
Hearing only the term "XY-Wing Chain" I would have imagined that it referred to an AIC that employed one or more XY-Wings as a node. Needless to say, that's not what is explained here.
What is explained here is an XY Chain that just happens to have some identical bivalues in the middle. I don't see why that merits a new name to learn. If one learns the XY Chain name/technique, then one has this puppy covered! |
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