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		| immpy 
 
 
 Joined: 06 May 2017
 Posts: 574
 
 
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				|  Posted: Fri Aug 05, 2022 7:27 pm    Post subject: VH+ 080522 |   |  
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				| Hello all, enjoy the puzzle. 
 
  	  | Code: |  	  | +-------+-------+-------+
 | 3 . 8 | . 7 . | 5 1 6 |
 | . 7 . | . . . | 4 9 . |
 | . . 4 | . . . | . . . |
 +-------+-------+-------+
 | . . 6 | 2 . 5 | . . 1 |
 | 8 . . | 6 . 1 | . . 5 |
 | 4 . . | 8 . 7 | 2 6 3 |
 +-------+-------+-------+
 | . . . | . . . | 6 . . |
 | . 5 9 | . . . | . 3 . |
 | 6 4 . | . 5 . | 7 . 9 |
 +-------+-------+-------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 cheers...immp
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		| dongrave 
 
 
 Joined: 06 Mar 2014
 Posts: 572
 
 
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				|  Posted: Sun Aug 07, 2022 4:03 pm    Post subject: |   |  
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				| Thanks immp!  I enjoyed that.  Here's the grid after basics: 
  	  | Code: |  	  | +---------------+-----------------+-------------+ | 3    29  8    | 49    7    249  | 5   1   6   |
 | 125  7   12   | 135   1268 2368 | 4   9   28  |
 | 1259 6   4    | 159   128  289  | 3   28  7   |
 +---------------+-----------------+-------------+
 | 79   39  6    | 2     34   5    | 8   47  1   |
 | 8    23  27   | 6     34   1    | 9   47  5   |
 | 4    1   5    | 8     9    7    | 2   6   3   |
 +---------------+-----------------+-------------+
 | 127  8   1237 | 13479 12   2349 | 6   5   24  |
 | 27   5   9    | 47    268  2468 | 1   3   248 |
 | 6    4   123  | 13    5    238  | 7   28  9   |
 +---------------+-----------------+-------------+
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 And then I used a very long chain (again using pencil and paper)!
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		| dongrave 
 
 
 Joined: 06 Mar 2014
 Posts: 572
 
 
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				|  Posted: Sun Aug 07, 2022 5:10 pm    Post subject: |   |  
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				| Here's the chain that I used (it has to be my longest yet!)   
 
  	  | Code: |  	  | +------------------+--------------------+-------------+ |  3    b29*  8    | c49     7    a2*49 | 5   1   6   |
 | f125   7   g12   |  135    1268  2368 | 4   9  h28  |
 | f1259  6    4    |  159    128   289  | 3  i28  7   |
 +------------------+--------------------+-------------+
 |  79    39   6    |  2      34    5    | 8   47  1   |
 |  8     23   27   |  6      34    1    | 9   47  5   |
 |  4     1    5    |  8      9     7    | 2   6   3   |
 +------------------+--------------------+-------------+
 |  127   8    1237 |  13479 m12    2349 | 6   5  n24  |
 | e27    5    9    | d47     268   2468 | 1   3  o248 |
 |  6     4    123  | L13     5    k238  | 7  j28* 9   |
 +------------------+--------------------+-------------+
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 2*r1c6-(2=9*)r1c2-(9=4)r1c4-(4=7)r8c4-(7=2)r8c1-(29*=1|5)r23c1-(1=2)r2c3-r2c9=r3c8-(2=8*)r9c8-(2*8=3)r9c6-(3=1)r9c4-(1=2)r7c5-(2=4)r7c9-(48*=2)r8c9 contradiction (i.e. 2r8c19) => r1c6 <> 2; stte.
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		| immpy 
 
 
 Joined: 06 May 2017
 Posts: 574
 
 
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				|  Posted: Mon Aug 08, 2022 6:54 pm    Post subject: |   |  
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				| Very nice dongrave. To myself, you are a master of applying chains to reach a solution. Kudos to you. 
 cheers...immp
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		| immpy 
 
 
 Joined: 06 May 2017
 Posts: 574
 
 
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				|  Posted: Mon Aug 08, 2022 6:59 pm    Post subject: |   |  
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				| I surely know that I am not good with chains. Even when following along on your path, somewhere around step k or L I become lost in a forest. LOL 
 Well done!  immp
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		| TomC 
 
 
 Joined: 30 Oct 2020
 Posts: 359
 Location: Wales
 
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				|  Posted: Mon Aug 08, 2022 7:54 pm    Post subject: Thanks immpy for a good puzzle |   |  
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				| Well tidy dongrave! 
 My solution was not so direct, but I got there in the end
 
 1st step
 <12> W wing in x removes <2> from y
 
 2nd step
 XY chain abcdef gives pincers of <7> in a + f to remove <7> from x
 
 
  	  | Code: |  	  | +-----------------+--------------------+----------+
 |  3    c29  8    | b49     7     249  | 5 1  6   |
 |  125   7  x12   |  135   y1268  2368 | 4 9  28  |
 |  1259  6   4    |  159    128   289  | 3 28 7   |
 +-----------------+--------------------+----------+
 | f79   e39  6    |  2      34    5    | 8 47 1   |
 |  8    d23  27   |  6      34    1    | 9 47 5   |
 |  4     1   5    |  8      9     7    | 2 6  3   |
 +-----------------+--------------------+----------+
 |  127   8  y1237 |  13479 x12    2349 | 6 5  24  |
 | x27    5   9    | a47     268   2468 | 1 3  248 |
 |  6     4   123  |  13     5     238  | 7 28 9   |
 +-----------------+--------------------+----------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 3rd step
 XY chain abcdefg gives pincers of <4> in a + g to remove <4> from x
 This sets h=4
 
 4th step XYZ wing <289> pivot p to remove <2> from g
 
 
  	  | Code: |  	  | +---------------+---------------------+--------------+
 |  3   g29  8   | h49      7    .249  | 5   1    6   |
 |  15   7   12  |  135     168   2368 | 4   9    28  |
 |  159  6   4   |  159    g128  p289  | 3  .28   7   |
 +---------------+---------------------+--------------+
 | d79  e39  6   |  2       34    5    | 8   47   1   |
 |  8   f23  27  |  6       34    1    | 9   47   5   |
 |  4    1   5   |  8       9     7    | 2   6    3   |
 +---------------+---------------------+--------------+
 | c17   8   137 | x1349   b12    2349 | 6   5   a24  |
 |  2    5   9   |  7       68    468  | 1   3    48  |
 |  6    4   13  |  13      5     28   | 7   28   9   |
 +---------------+---------------------+--------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 
 Iechyd da!
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		| dongrave 
 
 
 Joined: 06 Mar 2014
 Posts: 572
 
 
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				|  Posted: Tue Aug 09, 2022 2:37 pm    Post subject: |   |  
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				| Thanks for the encouraging words!  But I'm surely no expert!  Chains like that are just easier to find for pencil and paper solvers like me.  In fact, I only recently began learning the advanced techniques that I never got around to learning!  Surprisingly, so far they've been easier to learn than I expected! |  | 
	
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