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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Sat Aug 26, 2006 1:18 pm    Post subject: DB Saturday Puzzle - August 26, 2006 |   |  
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				| I have not yet looked at this one ... 
 Keith
 
  	  | Code: |  	  | Puzzle: DB082606  ****** +-------+-------+-------+
 | . 6 8 | . . . | 1 9 . |
 | 2 . . | . . 3 | . . 5 |
 | . . . | . 9 . | . 2 . |
 +-------+-------+-------+
 | . . 5 | 8 4 . | 9 . 7 |
 | . . . | 7 . 5 | . . . |
 | 1 . 3 | . 6 9 | 5 . . |
 +-------+-------+-------+
 | . 3 . | . 1 . | . . . |
 | 7 . . | 9 . . | . . 1 |
 | . 1 2 | . . . | 4 5 . |
 +-------+-------+-------+
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sat Aug 26, 2006 4:01 pm    Post subject: |   |  
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				| This one moved along pretty quickly. After the basic stuff, a Type 1 rectangle opened up the rest of the puzzle. There may have been some X-Wings, XY-Wings and other stuff, but I didn't reach a point where it was necessary to look for them. |  |  
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Sat Aug 26, 2006 4:15 pm    Post subject: Two UR's |   |  
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				| You get here: 
  	  | Code: |  	  | +----------------+----------------+----------------+ | 34   6    8    | 5    2    7    | 1    9    34   |
 | 2    9    17   | 146  8    3    | 67   467  5    |
 | 34   5    17   | 146  9    46   | 678  2    3468 |
 +----------------+----------------+----------------+
 | 6    2    5    | 8    4    1    | 9    3    7    |
 | 89   48   49   | 7    3    5    | 26   1    26   |
 | 1    7    3    | 2    6    9    | 5    48   48   |
 +----------------+----------------+----------------+
 | 5    3    69   | 46   1    468  | 2678 678  2689 |
 | 7    48   46   | 9    5    2    | 3    68   1    |
 | 89   1    2    | 3    7    68   | 4    5    689  |
 +----------------+----------------+----------------+
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 Ther are two Unique Rectangles:  A Type 1 in R13C19, and a Type 4 in R57C79.  The first one solves the puzzle.
 
 Otherwise, there is an XY-wing on <689> rooted in R9C1.  It also solves the puzzle.
 
 Keith
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sat Aug 26, 2006 9:12 pm    Post subject: |   |  
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				| I used that Type 1 on 34 to solve the puzzle. Have no idea if I would have spotted the 689 XY-Wing. |  |  
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Sat Aug 26, 2006 10:43 pm    Post subject: Me neither |   |  
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				| Marty, 
 While solving the puzzle by hand, I found the first <34> UR pretty early.  The rest was easy.
 
 I used my software to find the other UR and the XY-wing.  I always like to look at the question:  If you do not use a UR, how else would you solve it?
 
 Keith
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sun Aug 27, 2006 3:39 am    Post subject: Re: Me neither |   |  
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				|  	  | keith wrote: |  	  | Marty, 
 While solving the puzzle by hand, I found the first <34> UR pretty early.  The rest was easy.
 
 I used my software to find the other UR and the XY-wing.  I always like to look at the question:  If you do not use a UR, how else would you solve it?
 
 Keith
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 I'm strictly a paper-and-pencil guy and usually don't look for alternate solutions. I've always taken the path of least resistance to the solution; if I see something, I use it. The one thing that's changed is that I am trying to reduce my dependence on chains, so I don't go to them as quickly as I used to.
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