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		| immpy 
 
 
 Joined: 06 May 2017
 Posts: 574
 
 
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				|  Posted: Sun Sep 16, 2018 1:02 pm    Post subject: Wings (rated too hard) 091618 |   |  
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				| Cool puzzle...enjoy everyone. 
 
  	  | Code: |  	  | +-------+-------+-------+
 | . . . | . . . | . . 7 |
 | . 6 4 | 9 2 . | . 8 . |
 | . . . | . . 1 | 6 . . |
 +-------+-------+-------+
 | . 1 2 | . . 8 | 7 5 . |
 | 8 . . | . . . | . . 2 |
 | . 5 7 | 4 . . | 8 9 . |
 +-------+-------+-------+
 | . . 3 | 8 . . | . . . |
 | . 2 . | . 3 9 | 5 7 . |
 | 7 . . | . . . | . . . |
 +-------+-------+-------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 cheers...immp
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		| dongrave 
 
 
 Joined: 06 Mar 2014
 Posts: 572
 
 
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				|  Posted: Sun Sep 16, 2018 6:11 pm    Post subject: |   |  
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				| Hmm, I've used 3 wings so far and it's still not solved!  And I doubt that there's a single step solution for this one.  Can one of you guys prove me wrong? |  |  
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		| ZeroAssoluto 
 
 
 Joined: 05 Feb 2017
 Posts: 1019
 Location: Rimini, Italy
 
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				|  Posted: Sun Sep 16, 2018 7:16 pm    Post subject: |   |  
				| 
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				| Hi everyone, 
 first step
 
 
  	  | Code: |  	  | +----------------+--------------+-------------------+
 | 12359 38  1589 | 356 468  346 | 12349 1234 7      |
 | 135   6   4    | 9   2    7   | 13    8    135    |
 | 2359  7   589  | 35  48   1   | 6     234  3459   |
 +----------------+--------------+-------------------+
 | 3469  1   2    | 36  69   8   | 7     5    346    |
 | 8     34  69   | 7   1569 356 | 134   1346 2      |
 | 36    5   7    | 4   16   2   | 8     9    136    |
 +----------------+--------------+-------------------+
 | 15    49  3    | 8   7    456 | 1249  1246 1469   |
 | 46    2   68   | 1   3    9   | 5     7    48     |
 | 7     489 15   | 2   456  456 | 1349  1346 134689 |
 +----------------+--------------+-------------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 XY-Wing 3,4,6 in r5c2,r68c1 and -4 in r4c1,r79c2
 
 then
 
 
  	  | Code: |  	  | +----------+-----------+-------------+
 | 129 3 18 | 5 468 46  | 249 124 7   |
 | 15  6 4  | 9 2   7   | 3   8   15  |
 | 259 7 58 | 3 48  1   | 6   24  59  |
 +----------+-----------+-------------+
 | 3   1 2  | 6 9   8   | 7   5   4   |
 | 8   4 9  | 7 5   3   | 1   6   2   |
 | 6   5 7  | 4 1   2   | 8   9   3   |
 +----------+-----------+-------------+
 | 15  9 3  | 8 7   456 | 24  124 16  |
 | 4   2 6  | 1 3   9   | 5   7   8   |
 | 7   8 15 | 2 46  456 | 49  3   169 |
 +----------+-----------+-------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 Naked pair 1,5 in r27c1
 AND
 
 Remote Pair 1,5 in r9c3,r7c1,r2c1,r2c9 and -1 in r9c9
 OR
 W-Wing 1,5 in r7c1,r2c9 SL with number 1 in r9c39 and -5 in r2c1
 OR
 W-Wing 1,5 in r9c3,r2c9 SL with number 5 in r3c39 and -1 in r9c9
 
 Ciao Gianni
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		| immpy 
 
 
 Joined: 06 May 2017
 Posts: 574
 
 
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				|  Posted: Thu Sep 20, 2018 4:59 am    Post subject: |   |  
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				| Beautiful solution Gianni!!! I failed to spot the Remote Pair (15) which was a key to reducing the steps needed. To dongrave; don't despair, my friend, as I used 4 wings to reach a conclusion. I started with the XY-Wing per Gianni, then spotted an XYZ-Wing (-249), which was probably an unnecessary step, and followed that with two W-Wings. The beauty of this puzzle was that one could find a variety of Wings which could be implemented in solving (hence the title). I didn't even mention the X-Wings which were also present. A wing smorgasbord this one was! 
 cheers all...immp
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