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		ZeroAssoluto
 
 
  Joined: 05 Feb 2017 Posts: 1020 Location: Rimini, Italy
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				 Posted: Tue Dec 28, 2021 10:46 am    Post subject: Dec 28 VH | 
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				Hi everyone, 
 
 
 	  | Code: | 	 		  
 
+-----------+------------+--------+
 
| 7  3  49  | 49  8  6   | 5 1 2  |
 
| 6  5  8   | 1   3  2   | 7 4 9  |
 
| 2  49 1   | 7   59 459 | 3 8 6  |
 
+-----------+------------+--------+
 
| 59 7  2   | 8   4  59  | 1 6 3  |
 
| 3  49 459 | 59  6  1   | 2 7 8  |
 
| 8  1  6   | 3   2  7   | 4 9 5  |
 
+-----------+------------+--------+
 
| 45 2  57  | 6   1  8   | 9 3 47 |
 
| 1  6  79  | 459 59 3   | 8 2 47 |
 
| 49 8  3   | 2   7  49  | 6 5 1  |
 
+-----------+------------+--------+
 
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Play this puzzle online at the Daily Sudoku site
 
 
 	  | Quote: | 	 		  Remote Pair 4,9 r5c2,r3c2,r1c3,r1c4 and -9 in r5c4
 
or
 
W-Wing
 
4,9 in r1c4,r9c6 SL with number 9 in r38c5 and -4 in r3c6,r8c4
 
5,9 in r3c5,r5c4 SL with number 5 in r8c45 and -9 in r1c4
 
4,9 in r3c2,r9c6 SL with number 9 in r38c5 and -4 in r3c6
 
4,9 in r1c4,r5c2 SL with number 4 in r3c26 and -9 in r5c4
 
5,9 in r4c6,r8c5 SL with number 5 in r3c56 and -9 in r9c6 | 	  
 
 
Ciao Gianni | 
			 
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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Tue Dec 28, 2021 11:39 am    Post subject:  | 
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				Using standard moves
 
 
X wing on <9> r49 removes 9 from r3c6
 
then XY wing <459> removes 5 from r3c5 | 
			 
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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Tue Dec 28, 2021 12:51 pm    Post subject:  | 
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				| Or you could say r9c6 <> 9 as then r3c6 = 4, r1c4 = 9 leads to no <9>'s in box 5 | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Tue Dec 28, 2021 2:38 pm    Post subject:  | 
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				 	  | TomC wrote: | 	 		  Using standard moves
 
 
X wing on <9> r49 removes 9 from r3c6
 
then XY wing <459> removes 5 from r3c5 | 	  
 
 
Your almost XY wing starts out life with the extra 9 in r3c6. 
 
If that 9 were true then there would be no 9’s in row 4 so we can dispense with it and the xy wing is true. | 
			 
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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Tue Dec 28, 2021 2:52 pm    Post subject:  | 
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				If r3c6 was 9 then there would be no 9's in row 4 and no 9's in row 9 as well
 
 
Is that different to an X wing? | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Tue Dec 28, 2021 4:19 pm    Post subject:  | 
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				The result is the same as the x wing but the logic is different as is the start point for 9 at r3c6 and it forces a contradiction. 
 
 
The x wing is not about contradictions and we don’t know which of the vertices are +9 or -9 just that one is true and the other is false which is enough to eliminate the 9 at r3c6. 
 
 
One is contradictory the other is not. | 
			 
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