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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Fri Oct 05, 2012 4:21 pm    Post subject: Free Press October 5, 2012 |   |  
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				|  	  | Code: |  	  | Puzzle: FP100512 +-------+-------+-------+
 | . . . | . . 4 | 3 . . |
 | 2 . 1 | 8 . . | 4 . . |
 | 7 . . | 2 1 . | . . 6 |
 +-------+-------+-------+
 | . . . | . 2 . | 6 . . |
 | . 6 . | 3 . 5 | . 8 . |
 | . . 4 | . 9 . | . . . |
 +-------+-------+-------+
 | . . . | . 3 1 | . . 8 |
 | . . 3 | . . 6 | 2 . 4 |
 | . . 8 | 9 . . | . . . |
 +-------+-------+-------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 Keith
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Fri Oct 05, 2012 6:58 pm    Post subject: |   |  
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				|  	  | Code: |  	  | +-----------------+----------+------------+ |  68-9 *89   69  | 57 57 4  | 3   2  1   |
 |  2     3    1   | 8  6  9  | 4   57 57  |
 |  7     4    5   | 2  1  3  | 8   9  6   |
 +-----------------+----------+------------+
 |  3     5789 79  | 1  2  78 | 6   4  579 |
 |  19    6    279 | 3  4  5  | 17  8  279 |
 |  158   2578 4   | 6  9  78 | 157 3  257 |
 +-----------------+----------+------------+
 |  56    257  267 | 4  3  1  | 9   57 8   |
 | *59    57-9 3   | 57 8  6  | 2   1  4   |
 |  4     1    8   | 9  57 2  | 57  6  3   |
 +-----------------+----------+------------+
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 I'm not very happy with this solution because I'm sure I missed something with the 57s or something else. I had a so-called Bug-Lite set up but couldn't do anything with it.
 
 R1c2=8-->r8c1=9 with a fairly long chain; r1c1, r8c2<>9. Eliminations therefrom lead to a BUG+1.
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Fri Oct 05, 2012 9:53 pm    Post subject: |   |  
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				| I have not yet looked at it, but Sudoku Susser says: 
 1 x Simple Forcing Chains
 1 x Simple Forcing Loops
 1 x XY-Wing
 1 x BUG Removal
 1 x Intersection Removal
 26 x Pinned Squares
 
 Keith
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		| daj95376 
 
 
 Joined: 23 Aug 2008
 Posts: 3854
 
 
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				|  Posted: Fri Oct 05, 2012 10:21 pm    Post subject: |   |  
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				| None of my solver's solutions were "friendly" for this puzzle. There were a few chains that each led to a BUG+1, but Marty has already found that option. However, my solver did find a crazy single step solution using a UR. For the fun of it: 
 
  	  | Code: |  	  | after basics/Singles +--------------------------------------------------------------+
 |  69-8  89    69    |  57    57    4     |  3     2     1     |
 |  2     3     1     |  8     6     9     |  4     57    57    |
 |  7     4     5     |  2     1     3     |  8     9     6     |
 |--------------------+--------------------+--------------------|
 |  3    *78+59 79    |  1     2    *78    |  6     4     579   |
 |  19    6     279   |  3     4     5     |  17    8     279   |
 |  158  *78+25 4     |  6     9    *78    |  157   3     257   |
 |--------------------+--------------------+--------------------|
 |  56    257   267   |  4     3     1     |  9     57    8     |
 |  59    579   3     |  57    8     6     |  2     1     4     |
 |  4     1     8     |  9     57    2     |  57    6     3     |
 +--------------------------------------------------------------+
 # 43 eliminations remain
 
 [r46c26]=UR78  =>  r4c2=9, r46c2=5, r6c2=2
 
 (9)r4c2  - (9=8)r1c2 - (8)r1c1
 
 (5)r46c2 - (5)r6c1 = (1)r6c1 - (1=9)r5c1 - r8c1 = r8c2 - (9=8)r1c2 - (8)r1c1
 ||
 (8)r6c1 - (8)r1c1
 
 (2)r6c2 - (2=175)r5c7,r6c79 - (5)r6c1 (see above)
 
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		| SudoQ 
 
 
 Joined: 02 Aug 2011
 Posts: 127
 
 
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				|  Posted: Sat Oct 06, 2012 6:38 am    Post subject: |   |  
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				| A contradiction networks without BUGs and URs: 
 /SudoQ 	  | Code: |  	  | r1c1=8 -> r1c2=9 -> r8c1=9 -> r5c1=1 -> r5c7=7, r6c1=5 -> r7c8=7 -> r4c3=7 -> r4c9=59 => r1c1<>8 | 
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