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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Fri Nov 12, 2021 9:51 am    Post subject: Nov 12 VH | 
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				 	  | Code: | 	 		  
 
+------------+-------------+---------+
 
| 7  8   356 | 136 36 9    | 156 2 4 |
 
| 25 1   9   | 4   8  26   | 56  3 7 |
 
| 34 236 346 | 5   7  1236 | 16  9 8 |
 
+------------+-------------+---------+
 
| 25 25  8   | 9   1  7    | 4   6 3 |
 
| 9  36  7   | 2   4  36   | 8   1 5 |
 
| 1  4   36  | 36  5  8    | 9   7 2 |
 
+------------+-------------+---------+
 
| 34 9   134 | 13  2  5    | 7   8 6 |
 
| 6  7   2   | 8   9  4    | 3   5 1 |
 
| 8  35  135 | 7   36 136  | 2   4 9 |
 
+------------+-------------+---------+
 
 | 	  
 
Play this puzzle at the Daily Sudoku site
 
 
This reminded me of looking a bit like a W wing 
 
 
r3c6 <> 1
 
 
as then r3c7=6, <36> pair in r1c45 leaves no space for a 6 in box 1 | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Fri Nov 12, 2021 11:06 am    Post subject:  | 
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				Yes. If we start with the ANP <136> in r1c45
 
 
(1=36)r1c45-r2c6=r2c7-(6=1)r3c7 ==> r3c6 < > 1 | 
			 
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		Earl
 
 
  Joined: 30 May 2007 Posts: 677 Location: Victoria, KS
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				 Posted: Fri Nov 12, 2021 12:37 pm    Post subject: Nov 12 VH | 
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				Not very elegant two step:
 
346xyzwing@R3C3, -3R!C3
 
then: 456xywing@R2C1. -6R1C5
 
 
Early Earl
 
 
PS  Sorry, it is 256xywing. Another senior moment.
  Last edited by Earl on Sat Nov 13, 2021 1:49 pm; edited 1 time in total | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Fri Nov 12, 2021 1:20 pm    Post subject:  | 
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				| I think it is perfectly elegant, Earl. | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Fri Nov 12, 2021 2:55 pm    Post subject: Re: Nov 12 VH | 
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				 	  | Earl wrote: | 	 		  456xywing@R2C1. -6R1C5
 
 
Early Earl | 	  
 
 
Do you mean 256 xy wing ? | 
			 
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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Fri Nov 12, 2021 3:00 pm    Post subject:  | 
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				Just about to say the same thing!
 
 
Spoooooky | 
			 
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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Fri Nov 12, 2021 3:03 pm    Post subject:  | 
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				| Also just noticed that r1c7 <> 1 with the same logic as the start post | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Fri Nov 12, 2021 5:29 pm    Post subject:  | 
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				 	  | TomC wrote: | 	 		  | Also just noticed that r1c7 <> 1 with the same logic as the start post | 	  
 
 
Yes - or just extend the same chain as above by one link 
 
 
(1=36)r1c45-(6)r2c6=r2c7-(6=1)r3c7-r1c7 
 
 
Whether the ANP is 1 or 36 then r1c7 < > 1 | 
			 
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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Fri Nov 12, 2021 7:23 pm    Post subject:  | 
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				What if you don't use the ANP and say if r3c6=1, r2c6=2, r2c1=5, r2c7=6  and then r3c7 is back to 1
 
 
(Which is how I saw it the first time, before I noticed the W wing similarity) | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Fri Nov 12, 2021 11:19 pm    Post subject:  | 
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				You don't have to use the ANP. Batman's teeth. Of course it still shows R3c7 as 1 but other chains are there of course.
 
 
So have a go at notating it - Eureka! One of the common languages of sudoku - others are available (eg Snyder).
 
 
(1-236)r3c6=(2-6)r2c6-(2=5)r2c1-(5=6)r2c7-(6=1)r3c7 so r3c7 = 1
 
 
Which of course also proves that r3c6 can not be 1 | 
			 
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