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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Sun Jul 19, 2015 6:29 pm    Post subject: Free Press July 17, 2015 |   |  
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				|  	  | Code: |  	  | +-------+-------+-------+
 | 8 . . | . 3 . | . 4 2 |
 | . 6 . | . . . | . 8 3 |
 | . 7 . | . 2 . | 9 . . |
 +-------+-------+-------+
 | 2 . . | 1 9 . | . 7 . |
 | . . . | . . . | . . . |
 | . 1 . | . 6 2 | . . 8 |
 +-------+-------+-------+
 | . . 1 | . 8 . | . 5 . |
 | 5 3 . | . . . | . 2 . |
 | 4 9 . | . 7 . | . . 6 |
 +-------+-------+-------+
 
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 Play this puzzle online at the Daily Sudoku site
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		| bat999 
 
 
 Joined: 09 Jul 2015
 Posts: 55
 Location: UK
 
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				|  Posted: Sun Jul 19, 2015 9:09 pm    Post subject: |   |  
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				| (5=36)r45c3 - (6)r8c3 = r8c4 - (6=7)r1c4 - r1c7 = (7-5)r2c7 = (5)r3c9 => -5 r4c9; stte 	  | Code: |  	  | .--------------.--------------.------------------. | 8   5    9   | e67   3  167 | f167   4     2   |
 | 1   6    2   |  579  4  79  | g57    8     3   |
 | 3   7    4   |  568  2  168 |  9     16   h15  |
 :--------------+--------------+------------------:
 | 2   48  a356 |  1    9  38  |  356   7     4-5 |
 | 69  48  b36  |  378  5  378 |  2     1369  14  |
 | 79  1    357 |  4    6  2   |  35    39    8   |
 :--------------+--------------+------------------:
 | 67  2    1   |  369  8  369 |  4     5     79  |
 | 5   3   c67  | d69   1  4   |  8     2     79  |
 | 4   9    8   |  2    7  5   |  13    13    6   |
 '--------------'--------------'------------------'
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 Last edited by bat999 on Thu Jul 23, 2015 5:58 pm; edited 1 time in total
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Mon Jul 20, 2015 12:50 am    Post subject: |   |  
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				|  	  | Code: |  	  | +-----------+-----------+-------------+
 | 8  5  9   | 67  3 167 | 167 4    2  |
 | 1  6  2   | 579 4 79  | 57  8    3  |
 | 3  7  4   | 568 2 168 | 9   16   15 |
 +-----------+-----------+-------------+
 | 2  48 356 | 1   9 38  | 356 7    45 |
 | 69 48 36  | 378 5 378 | 2   1369 14 |
 | 79 1  357 | 4   6 2   | 35  39   8  |
 +-----------+-----------+-------------+
 | 67 2  1   | 369 8 369 | 4   5    79 |
 | 5  3  67  | 69  1 4   | 8   2    79 |
 | 4  9  8   | 2   7 5   | 13  13   6  |
 +-----------+-----------+-------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 5r3c9=5r4c9-(5=368)r4c376-(8=165)r3c689 contradiction=>-1r3c9
 
 I would've much preferred a non-contradiction, but I'm all chained out. If I never see another chain it'll be too soon.
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Mon Jul 20, 2015 3:10 am    Post subject: |   |  
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				|  	  | Marty R. wrote: |  	  |  	  | Code: |  	  | +-----------+-----------+-------------+
 | 8  5  9   | 67  3 167 | 167 4    2  |
 | 1  6  2   | 579 4 79  | 57  8    3  |
 | 3  7  4   | 568 2 168 | 9   16   15 |
 +-----------+-----------+-------------+
 | 2  48 356 | 1   9 38  | 356 7    45 |
 | 69 48 36  | 378 5 378 | 2   1369 14 |
 | 79 1  357 | 4   6 2   | 35  39   8  |
 +-----------+-----------+-------------+
 | 67 2  1   | 369 8 369 | 4   5    79 |
 | 5  3  67  | 69  1 4   | 8   2    79 |
 | 4  9  8   | 2   7 5   | 13  13   6  |
 +-----------+-----------+-------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 5r3c9=5r4c9-(5=368)r4c376-(8=165)r3c689 contradiction=>-1r3c9
 
 I would've much preferred a non-contradiction, but I'm all chained out. If I never see another chain it'll be too soon.
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 This is much better (if valid)
 
 (1=4)r5c9-(4=8)r5c2-r5c46=8r4c6-(8=16)r3c68=>-1r3c9
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Mon Jul 20, 2015 7:03 am    Post subject: Free Press July 17, 2015 |   |  
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				| A net 	  | Code: |  	  | +-----------+-----------+-------------+
 | 8  5  9   | a67  3 167 | b167 4    2  |
 | 1  6  2   | 579 4 79*  | c57  8    3  |
 | 3  7  4   | 568 2 168 | 9   16   d15 |
 +-----------+-----------+-------------+
 | 2  f48 356 | 1   9 g3*8  | 356 7    e45 |
 | 69 48 36  | 378 5 378 | 2   1369 14 |
 | 79 1  357 | 4   6 2   | 35  39   8  |
 +-----------+-----------+-------------+
 | 67 2  1   | 369 8 h369 | 4   5    79 |
 | 5  3  67  | 9-6  1 4   | 8   2    79 |
 | 4  9  8   | 2   7 5   | 13  13   6  |
 +-----------+-----------+-------------+
 
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 (6=7)r1c4-r1c7=(7-5)r2c7=r3c9-(5=4)r4c9-(4=8)r4c2-(8=3*)r4c6-(3*9*=6)r7c6 => -6r8c4; stte
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 -(7=9*)r2c6
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Mon Jul 20, 2015 3:48 pm    Post subject: |   |  
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				|  	  | Quote: |  	  | A net (6=7)r1c4-r1c7=(7-5)r2c7=r3c9-(5=4)r4c9-(4=8)r4c2-(8=3*)r4c6-(3*9*=6)r7c6 => -6r8c4; stte
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 -(7=9*)r2c6
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 I apparently don't understand nets. What does the (7=9) term after the pipe mean?
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Mon Jul 20, 2015 10:43 pm    Post subject: |   |  
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				| When a chain branches it is referred to as a net. The term -(7=9*)r2c6 after the vertical line "pipe" (shows where the chain branches) means, when r1c4 is set to 7 as shown in the grid r2c6 is set to 9. I have marked it with * to make it easy for others to follow as I have to use it later with the 3* in r4c6 set by the other chain which together eliminate 39 in r7c6 setting it 6. 	  | Marty R. wrote: |  	  |  	  | Quote: |  	  | A net (6=7)r1c4-r1c7=(7-5)r2c7=r3c9-(5=4)r4c9-(4=8)r4c2-(8=3*)r4c6-(3*9*=6)r7c6 => -6r8c4; stte
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 -(7=9*)r2c6
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 I apparently don't understand nets. What does the (7=9) term after the pipe mean?
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