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		ZeroAssoluto
 
 
  Joined: 05 Feb 2017 Posts: 1020 Location: Rimini, Italy
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				 Posted: Fri Oct 29, 2021 8:52 am    Post subject: Oct 29 VH | 
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				Hi everyone, 
 
 
 	  | Code: | 	 		  
 
+----------+--------+-------------+
 
| 16  8 7  | 4 9 36 | 2   13 5    |
 
| 156 9 56 | 2 8 37 | 37  4  16   |
 
| 2   3 4  | 5 1 67 | 678 9  68   |
 
+----------+--------+-------------+
 
| 8   4 39 | 6 7 1  | 5   23 29   |
 
| 7   2 39 | 8 4 5  | 13  6  19   |
 
| 56  1 56 | 3 2 9  | 4   8  7    |
 
+----------+--------+-------------+
 
| 9   6 18 | 7 3 2  | 18  5  4    |
 
| 3   7 18 | 9 5 4  | 168 12 1268 |
 
| 4   5 2  | 1 6 8  | 9   7  3    |
 
+----------+--------+-------------+
 
 | 	  
 
Play this puzzle online at the Daily Sudoku site
 
 
 	  | Quote: | 	 		  XY-Wing 1,2,3 in r48c8,r5c7 and -1 in r78c7
 
or
 
UR 5,6 in r26c13 and r2c1=1 | 	  
 
 
Ciao Gianni | 
			 
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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Fri Oct 29, 2021 1:50 pm    Post subject:  | 
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				| Pincers on 1's in r1c8 and r5c9 give -1 in r2c9 so r2c9=6 | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Fri Oct 29, 2021 2:52 pm    Post subject:  | 
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				R2C1 must be 1 because of the UR* at r26c13.
 
 
*Unique Rectangle.
  Last edited by Mogulmeister on Fri Oct 29, 2021 3:09 pm; edited 1 time in total | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Fri Oct 29, 2021 3:08 pm    Post subject:  | 
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				 	  | TomC wrote: | 	 		  | Pincers on 1's in r1c8 and r5c9 give -1 in r2c9 so r2c9=6 | 	  
 
 
Looks like a long backed chair ! | 
			 
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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Fri Oct 29, 2021 3:22 pm    Post subject:  | 
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				I saw it as a dog leg! (your chair would fall over)
 
 
Just noticed with the pincers, you could have r8c8=2 as otherwise it would force r2c9=1 | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Fri Oct 29, 2021 3:27 pm    Post subject:  | 
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				 	  | TomC wrote: | 	 		  | I saw it as a dog leg! (your chair would fall over)  | 	  
 
 
Right enough but I incorporated the single 6 to hold it up. Like those dodgy constellations in the night sky. | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Sat Oct 30, 2021 12:18 am    Post subject:  | 
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				 	  | Mogulmeister wrote: | 	 		  R2C1 must be 1 because of the UR* at r26c13.
 
 
*Unique Rectangle. | 	  
 
 
OK already posted by Gianni.  I couldn't do the right click reveal on my iphone while I was out - sorry for repeating.
 
 
So instead look at r5c9.
 
 
If it is 1 then obviously r5c7 two doors down, is going to = 3
 
 
But lets follow that 1 again but take a different chain route 
 
 
(9=1)r5c9-r2c9=(1-3)r1c8=(3-7)r2c7-(3=1)r5c7 so r5c7 < > 3
 
 
So a contradiction when you put a 1 in r5c9 it can also put a 1 (not 3) in r5c7.
 
 
Clearly r5c9 < > 1 | 
			 
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		TomC
 
 
  Joined: 30 Oct 2020 Posts: 359 Location: Wales
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				 Posted: Sat Oct 30, 2021 10:17 am    Post subject:  | 
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				Nice contradiction
 
 
Another way to view this is to focus on r1c8 <13>
 
 
If either r5c7=3 or r5c9=1 you would get r1c8 containing both 1 and 3 | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Mon Nov 01, 2021 10:26 am    Post subject:  | 
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				Nice obverse!
 
 
Contradiction Recapitulation
 
 
 
We can see that the contradiction world can:
 
 
1)Put too many of the same numbers into a house
 
2)Remove a number totally from a house
 
3)Create a loop where the starting number is removed
 
4)Create a loop where a number is forced in even when removed at the start
 
5)Create multiple numbers in the same square location as the answer
 
6)Remove all numbers so the a square is vacant | 
			 
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