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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Mon Feb 20, 2012 2:12 pm    Post subject: Pattern Game dobrichev 2/12/12 6.0 | 
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				 	  | Code: | 	 		   *-----------*
 
 |1..|23.|..4|
 
 |..2|..5|...|
 
 |.6.|...|7..|
 
 |---+---+---|
 
 |2..|..6|.8.|
 
 |6..|.1.|..9|
 
 |.3.|4..|.2.|
 
 |---+---+---|
 
 |..3|...|8..|
 
 |...|8.9|...|
 
 |9..|.7.|..1|
 
 *-----------*
 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Mon Feb 20, 2012 5:44 pm    Post subject:  | 
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				XY-Chain ABCDE.
 
 
 	  | Code: | 	 		  +------------+--------+-----------------+
 
| 1  9   7   | 2 3  8 |  56   56    4   |
 
| 3  4   2   | 7 6  5 |  9    1     8   |
 
| 8  6   5   | 1 9  4 |  7    3     2   |
 
+------------+--------+-----------------+
 
| 2  17  C14 | 9 5  6 | B34   8    A37  |
 
| 6  78   48 | 3 1  2 |  45   45-7  9   |
 
| 5  3    9  | 4 8  7 |  1    2     6   |
 
+------------+--------+-----------------+
 
| 47 25   3  | 6 24 1 |  8    9     5-7 |
 
| 47 125 D16 | 8 24 9 |  236 E67    35-7|
 
| 9  28   68 | 5 7  3 |  246  46    1   |
 
+-----------+--------+------------------+  | 	 
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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Mon Feb 20, 2012 6:20 pm    Post subject:  | 
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				My solver found an XY-Wing and an XY-Chain. I kept the XY-Wing ... and found a BUG+3 for the second step.
 
 
 	  | Code: | 	 		   <68+4>  XY-Wing  r9c3/r5c3+r9c8         <> 4    r5c8
 
 
 BUG+3
 
 r8c2=2               r8c7<>2
 
 r8c7=6               r8c7<>2
 
 r8c9=7 r8c8=6 r9c7=2 r8c7<>2
 
 +-----------------------------------------------------+
 
 |  1    9    7    |  2    3    8    |  56   56   4    |
 
 |  3    4    2    |  7    6    5    |  9    1    8    |
 
 |  8    6    5    |  1    9    4    |  7    3    2    |
 
 |-----------------+-----------------+-----------------|
 
 |  2    17   14   |  9    5    6    |  34   8    37   |
 
 |  6    78   48   |  3    1    2    |  45   57   9    |
 
 |  5    3    9    |  4    8    7    |  1    2    6    |
 
 |-----------------+-----------------+-----------------|
 
 |  47   25   3    |  6    24   1    |  8    9    57   |
 
 |  47   15+2 16   |  8    24   9    |  23+6 67   35+7 |
 
 |  9    28   68   |  5    7    3    |  26   4    1    |
 
 +-----------------------------------------------------+
 
 # 27 eliminations remain
 
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		JC Van Hay
 
 
  Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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				 Posted: Mon Feb 20, 2012 7:51 pm    Post subject:  | 
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				1. Lot of 1-step 4-SIS solution.Example : 1r8c3=1r8c2-(1=7)r4c2-7r5c2=7r5c8-(7=6)r8c8 => -6r8c3; stte 2. Marty's solution may be recasted into anALS-XZ Rule : (734=1)r4c379-(1=67)r8c38 => -7r5c8.r78c9 3. Danny's BUG+3 may also be viewed asBUG+NQ(2467)r8c279.158 => -6r8c3 
 
[edit] Removal of a typo noted by Ronk : r8c279.158 instead of r8c279.18 in #3.
  Last edited by JC Van Hay on Mon Feb 20, 2012 10:29 pm; edited 1 time in total | 
			 
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		ronk
 
 
  Joined: 07 May 2006 Posts: 398
 
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				 Posted: Mon Feb 20, 2012 10:21 pm    Post subject:  | 
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				 	  | JC Van Hay wrote: | 	 		  3. Danny's BUG+3 may also be viewed asBUG+NQ(2467)r8c279.18 => -6r8c3  | 	  
 
Looks like this is missing r8c5. | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Mon Feb 20, 2012 10:29 pm    Post subject:  | 
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				| I think the BUG+3 can be played as a pincer situation. In box 9 the two possibilities are a 67 pseudo cell setting r7c9<>7 or =5 which leads to r7c2=2. That and the box 7 possibility of 2 are pincers setting r9c2<>2. | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Fri Feb 24, 2012 1:59 pm    Post subject:  | 
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				Another solution is the BUG-Lite+2(456)r159c78.
 
 
(6=8)r9c3-(8=2)r9c2-BUG-Lite+2(456)r159c78[(2)r9c7=(7)r5c8]-(7=6)r8c8; r8c3<>6
 
 
Ted | 
			 
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