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		| ZeroAssoluto 
 
 
 Joined: 05 Feb 2017
 Posts: 1019
 Location: Rimini, Italy
 
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				|  Posted: Tue Jul 25, 2017 10:17 pm    Post subject: Jul 26 VH |   |  
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				| Hi everyone, 
 
  	  | Code: |  	  | +-----------------+-------------+---------------+
 | 2   379   6     | 5   1479 49 | 13   137 8    |
 | 4   79    1     | 8   79   3  | 6    2   5    |
 | 8   5     37    | 17  6    2  | 139  4   79   |
 +-----------------+-------------+---------------+
 | 357 13478 23478 | 47  378  6  | 1459 179 2479 |
 | 6   147   9     | 247 27   5  | 8    17  3    |
 | 357 3478  23478 | 9   378  1  | 45   6   247  |
 +-----------------+-------------+---------------+
 | 79  2     478   | 6   5    49 | 349  389 1    |
 | 1   48    5     | 3   49   7  | 2    89  6    |
 | 39  6     34    | 12  12   8  | 7    5   49   |
 +-----------------+-------------+---------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 
  	  | Quote: |  	  | W-Wing 4,9 in r7c6, r9c9 connected by number 9 in r8c58 and -4 in r7c7 or
 XY-Wing 4,8,9 in r8c28, r9c9 and -4 in r9c3
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 Ciao Gianni
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Wed Jul 26, 2017 5:12 am    Post subject: |   |  
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				|  	  | Code: |  	  | +-----------------+-------------+---------------+
 | 2   379   6     | 5   1479 49 | 13   137 8    |
 | 4   79    1     | 8   79   3  | 6    2   5    |
 | 8   5     37    | 17  6    2  | 139  4   79   |
 +-----------------+-------------+---------------+
 | 357 13478 23478 | 47  38   6  | 1459 179 2479 |
 | 6   147   9     | 247 27   5  | 8    17  3    |
 | 357 3478  23478 | 9   38   1  | 45   6   247  |
 +-----------------+-------------+---------------+
 | 79  2     478   | 6   5    49 | 349  389 1    |
 | 1   48    5     | 3   49   7  | 2    89  6    |
 | 39  6     34    | 12  12   8  | 7    5   49   |
 +-----------------+-------------+---------------+
 
 | 
 Play this puzzle online at the Daily Sudoku site
 
 I didn't see the other moves, so I played a 49 M-wing
 
 (9=4)r7c6-r7c7=(4-9)r9c9 =r9c1=> -9r7c1
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		| Ajò Dimonios 
 
 
 Joined: 01 May 2017
 Posts: 339
 Location: Sassari Italy
 
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				|  Posted: Wed Jul 26, 2017 7:06 am    Post subject: |   |  
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				| Hi everyone 
  	  | Code: |  	  | +-----------------+-------------+---------------+
 | 2   379   6     | 5   1479 49 | 13   137 8    |
 | 4   79    1     | 8   79   3  | 6    2   5    |
 | 8   5     37    | 17  6    2  | 139  4   79   |
 +-----------------+-------------+---------------+
 | 357 13478 23478 | 47  38   6  | 1459 179 2479 |
 | 6   147   9     | 247 27   5  | 8    17  3    |
 | 357 3478  23478 | 9   38   1  | 45   6   247  |
 +-----------------+-------------+---------------+
 | 79  2     478   | 6   5    49 | 349  389 1    |
 | 1   48    5     | 3   49   7  | 2    89  6    |
 | 39  6     34    | 12  12   8  | 7    5   49   |
 +-----------------+-------------+---------------+
 
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 Play this puzzle online at the Daily Sudoku site
 Forcing chain [(3-4)R7C7=(4)R9C9-(4)R9C3 and (3)R7C7-(3)R3C7=(3)R3C3-(3)R9C3 ]=>-contradiction R9C3=Ø=>-3R7C7 => 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: Wed Jul 26, 2017 2:48 pm    Post subject: |   |  
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				|  	  | Ajò Dimonios wrote: |  	  | Hi everyone 
  	  | Code: |  	  | +-----------------+-------------+---------------+
 | 2   379   6     | 5   1479 49 | 13   137 8    |
 | 4   79    1     | 8   79   3  | 6    2   5    |
 | 8   5     37    | 17  6    2  | 139  4   79   |
 +-----------------+-------------+---------------+
 | 357 13478 23478 | 47  38   6  | 1459 179 2479 |
 | 6   147   9     | 247 27   5  | 8    17  3    |
 | 357 3478  23478 | 9   38   1  | 45   6   247  |
 +-----------------+-------------+---------------+
 | 79  2     478   | 6   5    49 | 349  389 1    |
 | 1   48    5     | 3   49   7  | 2    89  6    |
 | 39  6     34    | 12  12   8  | 7    5   49   |
 +-----------------+-------------+---------------+
 
 | 
 Play this puzzle online at the Daily Sudoku site
 Forcing chain [(3-4)R7C7=(4)R9C9-(4)R9C3 and (3)R7C7-(3)R3C7=(3)R3C3-(3)R9C3 ]=>-contradiction R9C3=Ø=>-3R7C7 => stte.
 Ciao a tutti
 Paolo
 | 
 
 I don't understand why there's a contradiction. The first half of the notation ends without showing what happens if r9c3 is not 4 and the same with the second half with r9c3 not 3. I don't see any conclusion from which  one can say there's a contradiction. I'm used to seeing chains end with one or more cells being <> or = to some value.
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		| Ajò Dimonios 
 
 
 Joined: 01 May 2017
 Posts: 339
 Location: Sassari Italy
 
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				|  Posted: Wed Jul 26, 2017 4:17 pm    Post subject: |   |  
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				| Hi everyone 
 Marty wrote:
 
  	  | Quote: |  	  | I don't understand why there's a contradiction. The first half of the notation ends without showing what happens if r9c3 is not 4 and the same with the second half with r9c3 not 3. I don't see any conclusion from which one can say there's a contradiction. I'm used to seeing chains end with one or more cells being <> or = to some value. | 
 
 
 Within the square brackets there are two chains that start both from the same initial hypothesis R7C7 = 3. The logical result of the first is that if R7C7 is equal to 3 then R9C3 <>4, the logical result of the second is that if R7C7 is equal to 3 then R9C3 <>3. At this point, the contradiction is created because no number can be placed in the R9C3 cell. The consequence of this reasoning is that the initial hypothesis (R7C7 = 3) is false. Eliminating the 3 in R7C7 easily resolves the puzzle.
 
 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: Wed Jul 26, 2017 8:46 pm    Post subject: |   |  
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				|  	  | Code: |  	  | +-----------------+-------------+---------------+ | 2   379   6     | 5   1479 49 | 13   137 8    |
 | 4   79    1     | 8   79   3  | 6    2   5    |
 | 8   5     37    | 17  6    2  | 139  4   79   |
 +-----------------+-------------+---------------+
 | 357 13478 23478 | 47  38   6  | 1459 179 2479 |
 | 6   147   9     | 247 27   5  | 8    17  3    |
 | 357 3478  23478 | 9   38   1  | 45   6   247  |
 +-----------------+-------------+---------------+
 | 79  2     478   | 6   5    49 | 349  389 1    |
 | 1   48    5     | 3   49   7  | 2    89  6    |
 | 39  6     34    | 12  12   8  | 7    5   49   |
 +-----------------+-------------+---------------+
 
 
 Sorry, I'm not used to the notation. I'd be more comfortable with something like this:
 
 [3r7c7-r3c7=r3c3-(3=4)r9c3 and 3r7c7-(3=894)r78c8r9c9-(4=3)r9c3 contradiction, r9c3=0=> -3r7c7]
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		| Ajò Dimonios 
 
 
 Joined: 01 May 2017
 Posts: 339
 Location: Sassari Italy
 
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				|  Posted: Wed Jul 26, 2017 9:28 pm    Post subject: |   |  
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				| Hi Marty 
 Ok, the result is similar. In one case it is proved that both numbers 3 and 4 are false in cell R9C3 (contradiction) and in the other demonstration that at the same time in cell R9C3 are certain 4 and 3 (contradiction).
 
 Ciao a tutti
 Paolo
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