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		| daj95376 
 
 
 Joined: 23 Aug 2008
 Posts: 3854
 
 
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				|  Posted: Sat Oct 30, 2010 5:35 pm    Post subject: Puzzle 10/10/31: B3 XY |   |  
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				| I'm hanging up my hat on posting puzzles. Today's puzzles are the last. 
 
  	  | Code: |  	  | +-----------------------+ | 4 . . | . . . | . . . |
 | . 8 9 | . 5 . | . . . |
 | . 6 1 | . . 7 | . 5 . |
 |-------+-------+-------|
 | . . . | 6 8 . | 1 . . |
 | . 1 . | 5 7 4 | 2 . 3 |
 | . . 6 | . 2 . | . 7 8 |
 |-------+-------+-------|
 | . . . | 8 4 . | 9 . . |
 | . . 4 | . . 9 | . 8 . |
 | . . . | . 6 5 | . . 4 |
 +-----------------------+
 
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 Play this puzzle online at the Daily Sudoku site
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		| peterj 
 
 
 Joined: 26 Mar 2010
 Posts: 974
 Location: London, UK
 
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				|  Posted: Sun Oct 31, 2010 3:22 pm    Post subject: |   |  
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				| Two moves - no basics in between, if there was a simpler path I missed it! 
  	  | Quote: |  	  | skyscraper(2) r3, r8 ; r1c2<>2 ANP(27=5)r4c13 - (5=9)r4c9 - (9=2)r3c9 - r8c9=r8c2 ; r4c2<>2
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		| daj95376 
 
 
 Joined: 23 Aug 2008
 Posts: 3854
 
 
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				|  Posted: Wed Nov 03, 2010 3:15 pm    Post subject: |   |  
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				| Not much simpler. 
 
  	  | Code: |  	  | Sashimi X-Wing r38\c29  (Skyscraper)     <> 2    r1c2 
 XY-Chain (5=9)r4c9 - (9=2)r3c9 - (2=3)r3c1 - (3=5)r6c1  =>  r4c1,r6c7<>5
 
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Thu Nov 04, 2010 6:17 pm    Post subject: |   |  
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				| I don't know what it should be called. It started out as an XY-Chain and established pincers that eliminated nothing. Then the pincer was extended, I would guess by AIC principles, to force r9c3<>2. That established a 37 pair which was all that was needed. |  | 
	
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		| tlanglet 
 
 
 Joined: 17 Oct 2007
 Posts: 2468
 Location: Northern California Foothills
 
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				|  Posted: Wed Nov 10, 2010 3:20 pm    Post subject: |   |  
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				| A fun puzzle............ 
 Flightless xy-wing 45-9: (9=4)r4c8-(4=5)r6c7-(5=3)r6c1-(3=2)r3c1-(2=9)r3c9; r1c8,r4c9<>9
 
 This brings us to the following code:
 
  	  | Code: |  	  | *-----------------------------------------------------------* | 4     257   257   | 123   139   8     | 6     123   1279  |
 | 237   8     9     | 123   5     6     | 37    4     127   |
 | 23    6     1     | 4     39    7     | 8     5     29    |
 |-------------------+-------------------+-------------------|
 | 27    4     27    | 6     8     3     | 1     9     5     |
 | 9     1     8     | 5     7     4     | 2     6     3     |
 | 5     3     6     | 9     2     1     | 4     7     8     |
 |-------------------+-------------------+-------------------|
 | 16    57    357   | 8     4     2     | 9     13    167   |
 | 16    27    4     | 137   13    9     | 5     8     1267  |
 | 8     9     237   | 17    6     5     | 37    123   4     |
 *-----------------------------------------------------------*
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 A hidden UR(57)r17c23 deletes 7 in r1c3, which is not very useful. However, If we treat the pattern as a general AUR and look at the internal SIS, r1c23=2 & r7c3=3, we have a more productive result.
 (3=2)r3c1-AUR(57)[(2)r1c23=(3)r7c3]-(3=1)r7c8-r7c1=r8c1-(1=3)r8c5; r3c5<>3.
 
 Ted
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		| peterj 
 
 
 Joined: 26 Mar 2010
 Posts: 974
 Location: London, UK
 
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				|  Posted: Wed Nov 10, 2010 9:27 pm    Post subject: |   |  
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				|  	  | tlanglet wrote: |  	  | (3=2)r3c1-AUR(57)[(2)r1c23=(3)r7c3]-(3=1)r7c8-r7c1=r8c1-(1=3)r8c5; r3c5<>3. | 
 Nice
   I like AURs making strong-links (and broken wings too of course
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