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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Sat Dec 22, 2012 2:40 pm    Post subject: Free Press December 20, 2012 Thu |   |  
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				|  	  | Code: |  	  | Puzzle: FP122012Thu +-------+-------+-------+
 | . . 1 | . . . | 9 . . |
 | . 9 . | . . 1 | . . . |
 | 3 . 7 | . 8 . | 6 . . |
 +-------+-------+-------+
 | . 4 . | . 7 8 | . . . |
 | 6 7 . | 4 . 9 | . 3 5 |
 | . . . | 5 3 . | . 7 . |
 +-------+-------+-------+
 | . . 9 | . 2 . | 7 . 4 |
 | . . . | 1 . . | . 9 . |
 | . . 6 | . . . | 3 . . |
 +-------+-------+-------+
 
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sat Dec 22, 2012 5:07 pm    Post subject: |   |  
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				|  	  | Code: |  	  | +------------+--------------+--------------+
 | 248 6   1  | 237 45 23457 | 9   2458 37  |
 | 248 9   45 | 37  6  1     | 258 2458 37  |
 | 3   25  7  | 9   8  245   | 6   1245 12  |
 +------------+--------------+--------------+
 | 5   4   3  | 26  7  8     | 1   26   9   |
 | 6   7   28 | 4   1  9     | 28  3    5   |
 | 9   1   28 | 5   3  26    | 4   7    268 |
 +------------+--------------+--------------+
 | 1   358 9  | 368 2  356   | 7   568  4   |
 | 27  238 45 | 1   45 367   | 258 9    268 |
 | 247 258 6  | 78  9  457   | 3   1258 128 |
 +------------+--------------+--------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 Type 1 UR (37) boxes 23; r1c4<>37
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Sat Dec 22, 2012 6:20 pm    Post subject: |   |  
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				| Marty, there is a 45 pair in R8.  Further basics get you here: 
  	  | Code: |  	  | +----------------+----------------+----------------+ | 28   6    1    | 237  5    2347 | 9    248  37   |
 | 28   9    4    | 37   6    1    | 5    28   37   |
 | 3    5    7    | 9    8    24   | 6    124  12   |
 +----------------+----------------+----------------+
 | 5    4    3    | 26   7    8    | 1    26   9    |
 | 6    7    28   | 4    1    9    | 28   3    5    |
 | 9    1    28   | 5    3    26   | 4    7    268  |
 +----------------+----------------+----------------+
 | 1   *38   9    |*368  2   -356  | 7    56   4    |
 | 7    238  5    | 1    4   *36   | 28   9    268  |
 | 4    28   6    | 78   9    57   | 3    125  128  |
 +----------------+----------------+----------------+
 | 
 The XYZ-wing -368 is also a one-stepper.
 
 Keith
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sat Dec 22, 2012 10:39 pm    Post subject: |   |  
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				|  	  | Quote: |  	  | Marty, there is a 45 pair in R8. Further basics get you here: | 
 
 As hard as I try, this stuff continues to haunt me.
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Sat Dec 22, 2012 10:42 pm    Post subject: |   |  
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				|  	  | Marty R. wrote: |  	  |  	  | Quote: |  	  | Marty, there is a 45 pair in R8. Further basics get you here: | 
 
 As hard as I try, this stuff continues to haunt me.
  | 
 
 Not at all.  Take the gap, as a rugby fan might say.
 
 Keith
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		| tlanglet 
 
 
 Joined: 17 Oct 2007
 Posts: 2468
 Location: Northern California Foothills
 
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				|  Posted: Sun Dec 23, 2012 9:27 pm    Post subject: |   |  
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				| 6-cell Type 2 UR(28)b4,b6,b9 does not make any direct deletions. However, using the internal inferences hits pay dirt: 
 6r6c9-(6=2)r6c6-2r4c4=2r1c2
 6r8c9-(6=5)r7c8-5r7c6=(5-7)r9c6=7r9c4-ANS(37=2)r21c4 => r1c4=2
 
 Ted
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		| Luke451 
 
 
 Joined: 20 Apr 2008
 Posts: 310
 Location: Southern Northern California
 
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				|  Posted: Wed Dec 26, 2012 3:25 am    Post subject: |   |  
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				|  	  | tlanglet wrote: |  	  | 6-cell Type 2 UR(28)b4,b6,b9 does not make any direct deletions. However, using the internal inferences hits pay dirt: 
 6r6c9-(6=2)r6c6-2r4c4=2r1c2
 6r8c9-(6=5)r7c8-5r7c6=(5-7)r9c6=7r9c4-ANS(37=2)r21c4 => r1c4=2
 
 Ted
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 Ted, I think the (37) AUR does the same thing.
 
 The (28) pattern is  a BUG-Lite and the outs are locked, not usually a promising scenario if you're looking for something that can't be found more easily.
 
  	  | Code: |  	  | *-----------------------------------------------------------* | 28    6     1     | 237   5     2347  | 9     248   37    |
 | 28    9     4     | 37    6     1     | 5     28    37    |
 | 3     5     7     | 9     8     24    | 6     124   12    |
 |-------------------+-------------------+-------------------|
 | 5     4     3     | 26    7     8     | 1     26    9     |
 | 6     7     28    | 4     1     9     | 28    3     5     |
 | 9     1     28    | 5     3     26    | 4     7     268   |
 |-------------------+-------------------+-------------------|
 | 1     38    9     | 368   2     356   | 7     56    4     |
 | 7     238   5     | 1     4     36    | 28    9     268   |
 | 4     28    6     | 78    9     57    | 3     125   128   |
 *-----------------------------------------------------------*
 
 
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Wed Dec 26, 2012 3:50 am    Post subject: |   |  
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				|  	  | Luke451 wrote: |  	  |  	  | tlanglet wrote: |  	  | 6-cell Type 2 UR(28)b4,b6,b9 does not make any direct deletions. However, using the internal inferences hits pay dirt: 
 6r6c9-(6=2)r6c6-2r4c4=2r1c2
 6r8c9-(6=5)r7c8-5r7c6=(5-7)r9c6=7r9c4-ANS(37=2)r21c4 => r1c4=2
 
 Ted
 | 
 Ted, I think the (37) AUR does the same thing.
 
 The (28) pattern is  a BUG-Lite and the outs are locked, not usually a promising scenario if you're looking for something that can't be found more easily.
 
  	  | Code: |  	  | *-----------------------------------------------------------* | 28    6     1     | 237   5     2347  | 9     248   37    |
 | 28    9     4     | 37    6     1     | 5     28    37    |
 | 3     5     7     | 9     8     24    | 6     124   12    |
 |-------------------+-------------------+-------------------|
 | 5     4     3     | 26    7     8     | 1     26    9     |
 | 6     7     28    | 4     1     9     | 28    3     5     |
 | 9     1     28    | 5     3     26    | 4     7     268   |
 |-------------------+-------------------+-------------------|
 | 1     38    9     | 368   2     356   | 7     56    4     |
 | 7     238   5     | 1     4     36    | 28    9     268   |
 | 4     28    6     | 78    9     57    | 3     125   128   |
 *-----------------------------------------------------------*
 
 
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 | 
 
 I suspect Ted found a BUG-Lite much more fun than a simple Type 1.
 
 How about a single chain.
 
 (6r6c9=6r8c9)-(6=5)r7c8-(5=36)r78c6-r6c6=r4c4=>r4c8,r6c6<>6
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		| Luke451 
 
 
 Joined: 20 Apr 2008
 Posts: 310
 Location: Southern Northern California
 
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				|  Posted: Wed Dec 26, 2012 6:03 pm    Post subject: |   |  
				| 
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				|  	  | Marty wrote: |  	  | I suspect Ted found a BUG-Lite much more fun than a simple Type 1. 
 How about a single chain.
 
 (6r6c9=6r8c9)-(6=5)r7c8-(5=36)r78c6-r6c6=r4c4=>r4c8,r6c6<>6
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 Fun?? This isn't fun, it's sudoku!
   
 More to the point, then: there's no need to reference the DP if one wishes to work with (6)r6c9=(6)r8c9. Those 6s are locked.
 
 (BTW, your chain had the puzzle solved after (5=36)r78c6.)
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