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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Fri Jul 23, 2010 11:38 am    Post subject: Puzzle 10/07/23: B | 
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				 	  | Code: | 	 		   +-----------------------+
 
 | . . . | . 5 9 | 2 8 . |
 
 | . . 3 | . . . | 4 . . |
 
 | . 8 2 | . 4 . | 9 3 5 |
 
 |-------+-------+-------|
 
 | . . . | 5 . . | . . 4 |
 
 | 7 . 5 | . . . | 1 9 . |
 
 | 8 . . | . . . | . . . |
 
 |-------+-------+-------|
 
 | 5 1 4 | . 9 . | 3 7 . |
 
 | 3 . 8 | . 7 . | 6 4 . |
 
 | . . 7 | 8 . . | . . . |
 
 +-----------------------+
 
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Play this puzzle online at the Daily Sudoku site | 
			 
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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Fri Jul 23, 2010 11:20 pm    Post subject:  | 
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				I'm killing time ... and so you should ignore this as anything earthshaking. I'm just easily impressed by extending a W-Wing through an internal X-Chain -- especially when the X-Chain cells are also a non-productive Remote Pair.
 
 
(Note: These chains can also be represented as 6-cell XY-Chains.)
 
 
 	  | Code: | 	 		   (2=6)r4c8 - r2c8 = r1c9 - r1c3 = r6c3 - (6=2)r5c2  =>  r4c1,r5c9<>2
 
 +--------------------------------------------------------------+
 
 |  4     7    d16    |  3     5     9     |  2     8    c16    |
 
 |  9     5     3     |  26    1268  1268  |  4    b16    7     |
 
 |  16    8     2     |  7     4     16    |  9     3     5     |
 
 |--------------------+--------------------+--------------------|
 
 |  16-2  3     9     |  5     126   7     |  8    a26    4     |
 
 |  7    f26    5     |  4     268   2368  |  1     9     36-2  |
 
 |  8     4    e16    |  9     126   1236  |  7     5     236   |
 
 |--------------------+--------------------+--------------------|
 
 |  5     1     4     |  26    9     26    |  3     7     8     |
 
 |  3     29    8     |  1     7     5     |  6     4     29    |
 
 |  26    269   7     |  8     3     4     |  5     12    129   |
 
 +--------------------------------------------------------------+
 
 # 43 eliminations remain
 
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 	  | Code: | 	 		   (2=6)r4c8 - r2c8 = r1c9 - r1c3 = r3c1 - (6=2)r9c1  =>  r4c1,r9c8<>2
 
 +--------------------------------------------------------------+
 
 |  4     7    d16    |  3     5     9     |  2     8    c16    |
 
 |  9     5     3     |  26    1268  1268  |  4    b16    7     |
 
 | e16    8     2     |  7     4     16    |  9     3     5     |
 
 |--------------------+--------------------+--------------------|
 
 |  16-2  3     9     |  5     126   7     |  8    a26    4     |
 
 |  7     26    5     |  4     268   2368  |  1     9     236   |
 
 |  8     4     16    |  9     126   1236  |  7     5     236   |
 
 |--------------------+--------------------+--------------------|
 
 |  5     1     4     |  26    9     26    |  3     7     8     |
 
 |  3     29    8     |  1     7     5     |  6     4     29    |
 
 | f26    269   7     |  8     3     4     |  5     1-2   129   |
 
 +--------------------------------------------------------------+
 
 # 43 eliminations remain
 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Sat Jul 24, 2010 12:46 am    Post subject:  | 
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				| I played an apparently unnecessary Remote Pairs on 16. Then I played a flightless M-Wing on the 26s in boxes 67, transporting the pincer 6 from r4c8 to r3c1; r9c1<>6. | 
			 
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		peterj
 
 
  Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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				 Posted: Sat Jul 24, 2010 1:27 pm    Post subject:  | 
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				Looked "xy chainy" to me after basics
 
 
 	  | Quote: | 	 		  | xy-chain (6=2)r5c2 - (2=9)r8c2 - (9=2)r8c9 - (2=1)r9c8 - (1=6)r2c8 - (6=1)r1c9 - (1=6)r1c3; r6c3<>6 | 	  
 
(A 7 cell brute - but there are some conjugate links to use instead if preferred.) | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Sat Jul 24, 2010 2:58 pm    Post subject:  | 
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				An AUR was also useful..............
 
 
 	  | Quote: | 	 		  | AUR29[(6)r9c2=(1)r9c9]r89c29-(1=6)r1c9-r1c3=(6)r3c1; r9c1<>6 | 	  
 
Ted | 
			 
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		peterj
 
 
  Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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				 Posted: Sat Jul 24, 2010 4:30 pm    Post subject:  | 
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				| Ted, text book use of the SL in the AUR - very elegant! | 
			 
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