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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Fri Jul 15, 2011 5:45 pm    Post subject: Puzzle 11/07/15: ~ XY | 
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				 	  | Code: | 	 		   +-----------------------+
 
 | . 6 . | . . . | . . . |
 
 | 2 1 . | 8 . . | . . 5 |
 
 | . . . | 3 . . | . . 4 |
 
 |-------+-------+-------|
 
 | . 3 7 | 5 1 . | . 6 . |
 
 | . . . | 6 3 . | 5 . . |
 
 | . . . | . . 7 | . 1 . |
 
 |-------+-------+-------|
 
 | . . . | . 8 . | 7 9 . |
 
 | . . . | 9 . 5 | 8 4 2 |
 
 | . 9 8 | . . . | . 5 6 |
 
 +-----------------------+
 
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Play this puzzle online at the Daily Sudoku site | 
			 
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		Luke451
 
 
  Joined: 20 Apr 2008 Posts: 310 Location: Southern Northern California
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				 Posted: Fri Jul 15, 2011 7:00 pm    Post subject:  | 
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				MUG (256) =>r4c1, r6c9<>8
 
 	  | Code: | 	 		   *--------------------------------------------------*
 
 | 358  6    345  | 127  45   129  | 129  38   17   |
 
 | 2    1    34   | 8    47   69   | 69   37   5    |
 
 | 7    58   9    | 3    25   16   | 16   28   4    |
 
 |----------------+----------------+----------------|
 
 |-89   3    7    | 5    1    24   | 24   6    89   |
 
 | 19   4    12   | 6    3    8    | 5    27   79   |
 
 |*568 *258 *256  | 24   9    7    | 234  1   3-8   |
 
 |----------------+----------------+----------------|
 
 |*56  *25  *256  | 14   8    134  | 7    9    13   |
 
 | 13   7    13   | 9    6    5    | 8    4    2    |
 
 | 4    9    8    | 127  27   123  | 13   5    6    |
 
 *--------------------------------------------------* | 	 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Sat Jul 16, 2011 4:54 am    Post subject:  | 
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				| Looking at the potential 56 DP in boxes 47: either r67c3=2 or r6c1=8. Common outcome; r2c8=3. | 
			 
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		peterj
 
 
  Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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				 Posted: Sat Jul 16, 2011 6:11 am    Post subject:  | 
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				A short xy-chain...
 
 	  | Code: | 	 		  | xy-chain ; (3=7)r2c8 - (7=2)r5c8 - (2=1)r5c3 - (1=3)r9c3 ; r2c3<>3 | 	 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Sat Jul 16, 2011 1:59 pm    Post subject:  | 
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				AMUG(256)r67c123[(2)r5c3=(5)r67c3]-(5=34)r12c3-(3=1)r8c3-(1=2)r5c3; r5c3=2
 
 
Ted | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Sat Jul 16, 2011 2:05 pm    Post subject:  | 
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				 	  | Luke451 wrote: | 	 		  MUG (256) =>r4c1, r6c9<>8
 
 	  | Code: | 	 		   *--------------------------------------------------*
 
 | 358  6    345  | 127  45   129  | 129  38   17   |
 
 | 2    1    34   | 8    47   69   | 69   37   5    |
 
 | 7    58   9    | 3    25   16   | 16   28   4    |
 
 |----------------+----------------+----------------|
 
 |-89   3    7    | 5    1    24   | 24   6    89   |
 
 | 19   4    12   | 6    3    8    | 5    27   79   |
 
 |*568 *258 *256  | 24   9    7    | 234  1   3-8   |
 
 |----------------+----------------+----------------|
 
 |*56  *25  *256  | 14   8    134  | 7    9    13   |
 
 | 13   7    13   | 9    6    5    | 8    4    2    |
 
 | 4    9    8    | 127  27   123  | 13   5    6    |
 
 *--------------------------------------------------* | 	 
  | 	  
 
 
Howdy Luke,
 
 
Have I messed up a AMUG again? I considered r67c3=5 as part of the SIS since they are not an explicit AMUG digit for those two cells.
 
 
Ted | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Sat Jul 16, 2011 2:12 pm    Post subject:  | 
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				 	  | peterj wrote: | 	 		  A short xy-chain...
 
 	  | Code: | 	 		  | xy-chain ; (3=7)r2c8 - (7=2)r5c8 - (2=1)r5c3 - (1=3)r9c3 ; r2c3<>3 | 	 
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Peter, I think Keith would call your xy-chain a xy-wing with pseudocell (23)r58c3. 
 
 
Ted | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Sat Jul 16, 2011 2:20 pm    Post subject:  | 
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				As usual, I also look for reliable anp()s and found this one.......
 
 
anp(34=5)r21c3-(5=8)r3c2-(8=2)r3c8-r5c8=(2-1)r5c3=(1-3)r8c3; r8c3<>3=1
 
 
This path uses a bit of my original AMUG and also part of Peter's xy-chain.
 
 
Ted | 
			 
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		ronk
 
 
  Joined: 07 May 2006 Posts: 398
 
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				 Posted: Sat Jul 16, 2011 2:48 pm    Post subject:  | 
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				 	  | tlanglet wrote: | 	 		  | Have I messed up a AMUG again? I considered r67c3=5 as part of the SIS since they are not an explicit AMUG digit for those two cells. | 	  
 
It looks like you've taken the BUG-Lite approach. For the MUG, digits <256> are allowed in all six cells. | 
			 
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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Sat Jul 16, 2011 5:44 pm    Post subject:  | 
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				Stumbled across this after reading Luke's solution and reviewing output from my solver.
 
 
 	  | Code: | 	 		   after basics
 
 +-----------------------------------------------------+
 
 |  358  6    345  |  127  45   129  |  129  38   17   |
 
 |  2    1    34   |  8    47   69   |  69   37   5    |
 
 |  7    58   9    |  3    25   16   |  16   28   4    |
 
 |-----------------+-----------------+-----------------|
 
 |  89   3    7    |  5    1    24   |  24   6    89   |
 
 |  19   4    12   |  6    3    8    |  5    27   79   |
 
 |  568  258  256  |  24   9    7    |  234  1    38   |
 
 |-----------------+-----------------+-----------------|
 
 |  56   25   256  |  14   8    134  |  7    9    13   |
 
 |  13   7    13   |  9    6    5    |  8    4    2    |
 
 |  4    9    8    |  127  27   123  |  13   5    6    |
 
 +-----------------------------------------------------+
 
 # 57 eliminations remain
 
 
<56> UR r67c13  =>  (5)r67c2 - (5)r3c2
 
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		Luke451
 
 
  Joined: 20 Apr 2008 Posts: 310 Location: Southern Northern California
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				 Posted: Sun Jul 17, 2011 3:32 am    Post subject:  | 
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				 	  | tlanglet wrote: | 	 		   	  | Luke451 wrote: | 	 		  MUG (256) =>r4c1, r6c9<>8
 
 	  | Code: | 	 		   *--------------------------------------------------*
 
 | 358  6    345  | 127  45   129  | 129  38   17   |
 
 | 2    1    34   | 8    47   69   | 69   37   5    |
 
 | 7    58   9    | 3    25   16   | 16   28   4    |
 
 |----------------+----------------+----------------|
 
 |-89   3    7    | 5    1    24   | 24   6    89   |
 
 | 19   4    12   | 6    3    8    | 5    27   79   |
 
 |*568 *258 *256  | 24   9    7    | 234  1   3-8   |
 
 |----------------+----------------+----------------|
 
 |*56  *25  *256  | 14   8    134  | 7    9    13   |
 
 | 13   7    13   | 9    6    5    | 8    4    2    |
 
 | 4    9    8    | 127  27   123  | 13   5    6    |
 
 *--------------------------------------------------* | 	 
  | 	  
 
 
Howdy Luke,
 
 
Have I messed up a AMUG again? I considered r67c3=5 as part of the SIS since they are not an explicit AMUG digit for those two cells.
 
 
Ted | 	  
 
I’ve messed up many a MUG, but I don’t think you have here.
 
 
DPs are fascinating, and it’s interesting this one was seen by different players for its UR, BUG-Lite, or MUG possibilities. 
 
 
I saw it as a MUG:
 
  	  | Code: | 	 		  +------------------+
 
| .     .    .     | 
 
| .     .    .     |      
 
| 56    25   256   |      
 
+------------------+
 
| 56    25   256   |      
 
| .     .    .     |     
 
| .     .    .     |     
 
+------------------+ | 	  
 
…or a composite of overlapping URs: 	  | Code: | 	 		  +------------------+
 
| .     .    .     | 
 
| .     .    .     |      
 
| 56    .    56    |      
 
+------------------+
 
| 56    .    56    |    
 
| .     .    .     |     
 
| .     .    .     |     
 
+------------------+ | 	 
  	  | Code: | 	 		  +------------------+
 
| .     .    .     | 
 
| .     .    .     |      
 
| .     25   25    |      
 
+------------------+
 
| .     25   25    |      
 
| .     .    .     |     
 
| .     .    .     |     
 
+------------------+ | 	  
 
Only the 8s prevent the MUG, so it was a quick and chainless kill. | 
			 
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