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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Sun Feb 07, 2010 6:07 pm    Post subject: Puzzle 10/02/07 gM-Wing | 
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				In case you find some spare time. (Rated XY.)
 
 
 	  | Code: | 	 		   +-----------------------+
 
 | 2 4 . | 8 . 5 | 1 6 . |
 
 | 6 . . | 9 1 . | . . . |
 
 | . . 8 | . . 6 | . . 5 |
 
 |-------+-------+-------|
 
 | 9 3 . | . 8 1 | . . . |
 
 | . 6 . | 5 . . | . . . |
 
 | 1 . 2 | 6 . 9 | . . . |
 
 |-------+-------+-------|
 
 | 5 . . | . . . | 8 3 . |
 
 | 3 . . | . . . | 4 . . |
 
 | . . 4 | . . . | . . 6 |
 
 +-----------------------+
 
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Play this puzzle online at the Daily Sudoku site | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Sun Feb 07, 2010 11:37 pm    Post subject:  | 
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				I used three steps for this puzzle.
 
 
 	  | Quote: | 	 		  xy-wing 2-37 with vertex 27 in r2c6.
 
Kraken x-wing 7 in r29c67 with fin in r9c2: (9)r9c2 - r9c6 = r78c4 - r4c4 = r6c5; r6c7<>7,
 
flightless xy-wing 35-7 with vertex 35 in r6c7, pincer 57 in r6c8 and pincer 37 a pseudocell in r23c7 with pincer transport: (7)r2c7 - r2c6 = r1c5; r6c5<>7. | 	  
 
 
Ted | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Tue Feb 09, 2010 12:15 am    Post subject:  | 
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				| I used perhaps seven steps, depending on what counts as a step. The puzzle is labeled gM-Wing, although I didn't use one. However, an M-Wing with pincer transport was critical in setting up my ending moves of looking at the implications of a 79 UR. | 
			 
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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Wed Feb 10, 2010 5:08 pm    Post subject:  | 
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				Two steps: XY-Wing and gM-Wing.
 
 
 	  | Code: | 	 		   r16\c59 finned  X-Wing                  <> 7    r4c9        extraneous
 
 r2c5    2-String Kite                   <> 7    r6c7        extraneous
 
 
   c67   X-Wing                          <> 7    r9c248      extraneous
 
 
 <37+2>  XY-Wing  r1c5/r2c6+r5c5         <> 2    r3c5,r5c6
 
 <27+3>  XY-Wing  r2c6/r1c5+r5c6         <> 3    r5c5        extraneous
 
 
 gM-Wing: (3=4)r3c5 - r6c5 = (4-3)r6c9 = (3)r1c9  =>  r1c5,r3c7<>3
 
 +-----------------------------------------------------+
 
 |  2    4    9    |  8    37   5    |  1    6    37   |
 
 |  6    5    3    |  9    1    27   |  27   4    8    |
 
 |  7    1    8    |  24   34   6    |  23   9    5    |
 
 |-----------------+-----------------+-----------------|
 
 |  9    3    5    |  47   8    1    |  6    27   24   |
 
 |  4    6    7    |  5    2    3    |  9    8    1    |
 
 |  1    8    2    |  6    47   9    |  35   57   347  |
 
 |-----------------+-----------------+-----------------|
 
 |  5    279  16   |  127  69   4    |  8    3    279  |
 
 |  3    279  16   |  127  569  8    |  4    257  279  |
 
 |  8    29   4    |  3    59   27   |  57   1    6    |
 
 +-----------------------------------------------------+
 
 # 38 eliminations remain
 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Wed Feb 10, 2010 5:41 pm    Post subject:  | 
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				Couple of questions.
 
 
1. I know these terms are not definitive, but would you say that gM-Wings occur often, seldom, rarely or something else?
 
 
2. Is there some way of looking for them that is more efficient than looking at dozens of cells? | 
			 
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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Wed Feb 10, 2010 6:27 pm    Post subject:  | 
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				 	  | Marty R. wrote: | 	 		  Couple of questions.
 
 
1. I know these terms are not definitive, but would you say that gM-Wings occur often, seldom, rarely or something else?
 
 
2. Is there some way of looking for them that is more efficient than looking at dozens of cells? | 	  
 
This is only my opinion based on very limited experience with gM-Wings. I hope others will add their opinion as well.
 
 
1) I think gM-Wings occur often ... but are seldom found. Often, when a gM-Wing is present, an easier-to-find W-Wing is also present. When you have a case like this puzzle where there is only one productive gM-Wing present, it makes the puzzle extremely difficult to solve. Hence, the reason I added the gM-Wing warning to the title.
 
 
2) I don't know of any reasonable way to spot them; but, then again, I probably couldn't find an XYZ-Wing if my life depended upon it. Hence, the reason I add an alert to the body of puzzles with an XYZ-Wing.
 
 
Bottom Line: I previously announced that I was going to stop posting puzzles with gM-Wings. Arkietech/Dan mentioned something about wanting the puzzles to continue so he could practice looking for gM-Wings. Since (to me recollection) no one has supplied a gM-Wing solution to puzzles since Dan's comment, I'm going back to my original position.
 
 
This is the last puzzle of mine that needs a gM-Wing. If you'd like another gM-Wing to solve, send me a private message. They also appear to be a great source of puzzles that can be solved by any number of chains; i.e., a chain-rich environment.
 
 
Regards, Danny | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Wed Feb 10, 2010 8:29 pm    Post subject:  | 
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				| Thanks for the response. Like Dan, I wouldn't mind getting in some practice in looking for them, especially if they occur fairly often. | 
			 
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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Wed Feb 10, 2010 10:29 pm    Post subject:  | 
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				 	  | daj95376 wrote: | 	 		  | Arkietech/Dan mentioned something about wanting the puzzles to continue so he could practice looking for gM-Wings. Since (to me recollection) no one has supplied a gM-Wing solution to puzzles since Dan's comment, | 	  
 
I am still looking! My problem is I find something to solve the puzzle before I get to your wing.     I like your puzzles -- keep them coming. | 
			 
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