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		ZeroAssoluto
 
 
  Joined: 05 Feb 2017 Posts: 1020 Location: Rimini, Italy
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				 Posted: Wed Jun 21, 2017 10:47 pm    Post subject: Jun 22 VH | 
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				Hi everyone, 
 
 
 	  | Code: | 	 		  
 
+-----------+-----------+---------------+
 
| 8  3   1  | 2  47  6  | 57  457  9    |
 
| 29 29  4  | 1  78  5  | 3   6    78   |
 
| 6  5   7  | 3  48  9  | 18  2    148  |
 
+-----------+-----------+---------------+
 
| 24 124 5  | 9  6   3  | 178 1478 1478 |
 
| 3  14  89 | 7  25  28 | 15  1459 6    |
 
| 7  6   89 | 58 1   4  | 2   359  35   |
 
+-----------+-----------+---------------+
 
| 49 489 2  | 58 359 1  | 6   3578 3578 |
 
| 5  7   6  | 4  23  28 | 9   138  138  |
 
| 1  89  3  | 6  59  7  | 4   58   2    |
 
+-----------+-----------+---------------+
 
 | 	  
 
Play this puzzle online at the Daily Sudoku site
 
 
 	  | Quote: | 	 		  W-Wing 5,8 in r7c4, r9c8 connected by number 8 in r79c2 and -5 in r7c89 and r9c5
 
XY-Wing 5,8,9 in r7c4, r9c25 and -8 in r7c2 | 	  
 
 
Ciao Gianni | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Thu Jun 22, 2017 5:25 am    Post subject:  | 
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				 	  | Code: | 	 		  
 
+-----------+-----------+---------------+
 
| 8  3   1  | 2  47  6  | 57  457  9    |
 
| 29 29  4  | 1  78  5  | 3   6    78   |
 
| 6  5   7  | 3  48  9  | 18  2    148  |
 
+-----------+-----------+---------------+
 
| 24 124 5  | 9  6   3  | 178 1478 1478 |
 
| 3  14  89 | 7  25  28 | 15  1459 6    |
 
| 7  6   89 | 58 1   4  | 2   359  35   |
 
+-----------+-----------+---------------+
 
| 49 489 2  | 58 359 1  | 6   3578 3578 |
 
| 5  7   6  | 4  23  28 | 9   138  138  |
 
| 1  89  3  | 6  59  7  | 4   58   2    |
 
+-----------+-----------+---------------+
 
 | 	  
 
Play this puzzle online at the Daily Sudoku site
 
 
XY-Wing (59-8) pivot r9c5=> -8r7c2
 
 
Potential Deadly Pattern (29-24-49) r247c12
 
1r4c2=8r7c2-(8=5)r7c4-(5=8)r6c4-(8=9)r6c3-(9=351)r6c89,r5c7=> -1r5c2 | 
			 
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		Ajò Dimonios
 
 
  Joined: 01 May 2017 Posts: 339 Location: Sassari Italy
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				 Posted: Thu Jun 22, 2017 12:52 pm    Post subject:  | 
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				Hi everyone
 
 
My solution with one step
 
 
 	  | Quote: | 	 		  | [(5)R6C4-(5)R6C9=(5)R7C9-(5)R9C8 and (5)R6C4-(5=8 )-(8)R8C6=(8)R8C89-(8)R9C8)]=>R9C8=Ø=>-5R6C4=>stte | 	  
 
 
Ciao a tutti
 
Paolo | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Thu Jun 22, 2017 5:51 pm    Post subject:  | 
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				 	  | Quote: | 	 		  	
 
[(5)R6C4-(5)R6C9=(5)R7C9-(5)R9C8 and (5)R6C4-(5=8 )-(8)R8C6=(8)R8C89-(8)R9C8)]=>R9C8=Ø=>-5R6C4=>stte | 	  
 
 
Paolo,
 
 
Help me understand. I think I can follow until the part I've highlighted in red.
 
I think it says that r8c8 or 9 is 8, then r9c8 is not 8, then I don't know what this means: R9C8=Ø and then it concludes with r6c4<>5. | 
			 
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		Ajò Dimonios
 
 
  Joined: 01 May 2017 Posts: 339 Location: Sassari Italy
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				 Posted: Thu Jun 22, 2017 7:49 pm    Post subject:  | 
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				Hi Marty
 
 
 
 	  | Quote: | 	 		  | [(5)R6C4-(5)R6C9=(5)R7C9-(5)R9C8 and (5)R6C4-(5=8 )-(8)R8C6=(8)R8C89-(8)R9C8)]=>R9C8=Ø=>-5R6C4=>stte | 	 
  	  | Quote: | 	 		  Help me understand. I think I can follow until the part I've highlighted in red. 
 
I think it says that r8c8 or 9 is 8, then r9c8 is not 8, then I don't know what this means: R9C8=Ø and then it concludes with r6c4<>5. | 	  
 
 	  | Quote: | 	 		  
 
 
The two logical chains both start from the hypothesis that R6C4 is equal to 5. Both lead to a negation, R9C8 <> 5 and R9C8 <> 8, for this reason in the cell R9C8 no candidate can be entered and is therefore empty. At this point the initial hypothesis R6C4 = 5 is certainly false. With the Ø symbol I simply wanted to indicate that the cell R9C8 becomes an empty set (set theory). | 	  
 
 
Ciao a tutti
 
Paolo | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Thu Jun 22, 2017 10:26 pm    Post subject:  | 
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				 	  | Quote: | 	 		  
 
The two logical chains both start from the hypothesis that R6C4 is equal to 5. | 	  
 
 
OK, I did not notice that there were two chains in there. | 
			 
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