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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sun Dec 27, 2015 11:35 pm    Post subject: Menneske #3659398, Super hard (33) |   |  
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				| I couldn't find moves that opened it up and I ended up using an embarrassingly high number of steps. 
 
  	  | Code: |  	  | +-------+-------+-------+
 | 7 . . | 8 6 3 | . . 2 |
 | . . 4 | . . . | 9 . . |
 | . 8 . | 9 . 2 | . 3 . |
 +-------+-------+-------+
 | 3 . 6 | 4 . 1 | 2 . 8 |
 | 9 . . | . . . | . . 3 |
 | 8 . 1 | 2 . 9 | 6 . 7 |
 +-------+-------+-------+
 | . 6 . | 3 . 4 | . 7 . |
 | . . 3 | . . . | 8 . . |
 | 1 . . | 6 5 8 | . . 4 |
 +-------+-------+-------+
 
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 Play this puzzle online at the Daily Sudoku site
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Mon Dec 28, 2015 10:24 am    Post subject: |   |  
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				| Marty, 
 This is a trivial puzzle.  Did you post the wrong one?
 
 Keith
 
 
  	  | Code: |  	  | +-------------------+-------------------+-------------------+ | 7     159   59    | 8     6     3     | 145   145   2     |
 | 256   1235  4     | 157   17    57    | 9     1568  156   |
 | 56    8     5     | 9     147   2     | 1457  3     156   |
 +-------------------+-------------------+-------------------+
 | 3     57    6     | 4     7     1     | 2     59    8     |
 | 9     2457  257   | 57    78    567   | 145   145   3     |
 | 8     45    1     | 2     3     9     | 6     45    7     |
 +-------------------+-------------------+-------------------+
 | 25    6     2589  | 3     129   4     | 15    7     159   |
 | 245   24579 3     | 17    1279  7     | 8     12569 1569  |
 | 1     279   279   | 6     5     8     | 3     29    4     |
 +-------------------+-------------------+-------------------+
 
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Mon Dec 28, 2015 7:24 pm    Post subject: |   |  
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				| Keith, the puzzle posted is not the one I intended to show. I don't know what a trivial puzzle means. Below is the Menneske puzzle I meant to post. 
 
  	  | Code: |  	  | +-------+-------+-------+
 | . . . | . . 5 | . . . |
 | 9 2 8 | . 3 4 | . . . |
 | 5 7 . | . 6 . | . 1 . |
 +-------+-------+-------+
 | 7 1 . | . . . | . . . |
 | . 5 9 | . . . | 8 6 . |
 | . . . | . . . | . 3 1 |
 +-------+-------+-------+
 | . 6 . | . 8 . | . 4 9 |
 | . . . | 3 7 . | 6 2 8 |
 | . . . | 4 . . | . . . |
 +-------+-------+-------+
 
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 Play this puzzle online at the Daily Sudoku site
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Mon Dec 28, 2015 9:17 pm    Post subject: |   |  
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				| Marty, 
 "Trivial" means it can be solved by singles only.  It does not even need any pairs or naked sets.
 
 Keith
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Mon Dec 28, 2015 9:47 pm    Post subject: |   |  
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				| After basics: 
 
  	  | Code: |  	  | +----------------+----------------+----------------+ | 16   34   16   | 7    29   5    | 2349 8    234  |
 | 9    2    8    | 1    3    4    | 57   57   6    |
 | 5    7    34   | 89   6    289  | 2349 1    234  |
 +----------------+----------------+----------------+
 | 7    1    36   | 68   45   38   | 245  9    245  |
 | 34   5    9    | 2    14   137  | 8    6    47   |
 | 2468 48   246  | 69   459  79   | 457  3    1    |
 +----------------+----------------+----------------+
 | 123  6    1237 | 5    8    12   | 137  4    9    |
 | 14   49   5    | 3    7    19   | 6    2    8    |
 | 1238 389  1237 | 4    129  6    | 1357 57   357  |
 +----------------+----------------+----------------+
 
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 There is a Type 1 UR (57) that does not help much.
 
 Then, it needs a bunch of chains.  I do not see a clever solution.
 
 Keith
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Tue Dec 29, 2015 12:14 am    Post subject: |   |  
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				|  	  | Quote: |  	  | Then, it needs a bunch of chains. I do not see a clever solution.
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 Yep. After the useless UR there were M-, XY- and Finned X-Wings. Then four chains and finished it off with coloring, which I guess is a form of chain.
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