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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Sun Jul 29, 2012 6:04 am    Post subject: Vanhegan extreme July 29, 2012 |   |  
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				|  	  | Code: |  	  | *-----------*
 |.57|4..|..9|
 |...|..6|..1|
 |8..|9..|3.5|
 |---+---+---|
 |483|...|.1.|
 |...|...|...|
 |.7.|...|693|
 |---+---+---|
 |7.6|..9|..8|
 |5..|8..|...|
 |9..|..1|47.|
 *-----------*
 
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sun Jul 29, 2012 4:45 pm    Post subject: |   |  
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				|  	  | Code: |  	  | +-------------+--------------+------------+
 | 16 5    7   | 4   1238 238 | 28  268 9  |
 | 3  249  249 | 25  258  6   | 7   248 1  |
 | 8  1246 124 | 9   127  27  | 3   246 5  |
 +-------------+--------------+------------+
 | 4  8    3   | 6   9    25  | 25  1   7  |
 | 16 169  19  | 7   23   235 | 258 28  4  |
 | 2  7    5   | 1   48   48  | 6   9   3  |
 +-------------+--------------+------------+
 | 7  234  6   | 23  24   9   | 1   5   8  |
 | 5  124  124 | 8   2467 247 | 9   3   26 |
 | 9  23   8   | 235 256  1   | 4   7   26 |
 +-------------+--------------+------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 Messier and less satisfying than I prefer (I got lazy and didn't check for chains or M-Wings).
 
 Potential 49-19-14 DP in r258c23. Possibilities r2c23=2, r5c2=6, r8c23=2 yield common outcome r6c56=48.
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Sun Jul 29, 2012 6:31 pm    Post subject: |   |  
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				|  	  | Code: |  	  | *-----------------------------------------------------------* | 16    5     7     | 4     1238 d23-8  |a28    268   9     |
 | 3     249   249   | 25    258   6     | 7     248   1     |
 | 8     1246  124   | 9     127   27    | 3     246   5     |
 |-------------------+-------------------+-------------------|
 | 4     8     3     | 6     9     25    | 25    1     7     |
 | 16    169   19    | 7     23   c235   |b258   28    4     |
 | 2     7     5     | 1     48    48    | 6     9     3     |
 |-------------------+-------------------+-------------------|
 | 7     234   6     | 23    24    9     | 1     5     8     |
 | 5     124   124   | 8     2467  247   | 9     3     26    |
 | 9     23    8     | 235   256   1     | 4     7     26    |
 *-----------------------------------------------------------*
 L3-wing
 8r1c7=(8-5)r5c7=(5-3)r5c6=3r1c6 => -8r1c6
 
 if r1c7 is not 8 then r1c6 is 3
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		| tlanglet 
 
 
 Joined: 17 Oct 2007
 Posts: 2468
 Location: Northern California Foothills
 
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				|  Posted: Mon Jul 30, 2012 2:24 pm    Post subject: |   |  
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				| Another solution is a 
 AUR(25)r45c67[(8)r5c7=(3)r5c6]-(3=2=4=8)r576c5-r6c6=r1c6-r1c78=r2c8; -8r5c8
 
 Ted
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		| tlanglet 
 
 
 Joined: 17 Oct 2007
 Posts: 2468
 Location: Northern California Foothills
 
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				|  Posted: Mon Jul 30, 2012 2:37 pm    Post subject: |   |  
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				|  	  | Marty R. wrote: |  	  |  	  | Code: |  	  | +-------------+--------------+------------+
 | 16 5    7   | 4   1238 238 | 28  268 9  |
 | 3  249  249 | 25  258  6   | 7   248 1  |
 | 8  1246 124 | 9   127  27  | 3   246 5  |
 +-------------+--------------+------------+
 | 4  8    3   | 6   9    25  | 25  1   7  |
 | 16 169  19  | 7   23   235 | 258 28  4  |
 | 2  7    5   | 1   48   48  | 6   9   3  |
 +-------------+--------------+------------+
 | 7  234  6   | 23  24   9   | 1   5   8  |
 | 5  124  124 | 8   2467 247 | 9   3   26 |
 | 9  23   8   | 235 256  1   | 4   7   26 |
 +-------------+--------------+------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 Potential 49-19-14 DP in r258c23. Possibilities r2c23=2, r5c2=6, r8c23=2 yield common outcome r6c56=48.
 | 
 
 Marty,
 
 I do not understand your statement that the common outcome is r6c56=48; this is already the condition after basics.
 
 Ted
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Mon Jul 30, 2012 3:33 pm    Post subject: |   |  
				| 
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				|  	  | tlanglet wrote: |  	  |  	  | Marty R. wrote: |  	  |  	  | Code: |  	  | +-------------+--------------+------------+
 | 16 5    7   | 4   1238 238 | 28  268 9  |
 | 3  249  249 | 25  258  6   | 7   248 1  |
 | 8  1246 124 | 9   127  27  | 3   246 5  |
 +-------------+--------------+------------+
 | 4  8    3   | 6   9    25  | 25  1   7  |
 | 16 169  19  | 7   23   235 | 258 28  4  |
 | 2  7    5   | 1   48   48  | 6   9   3  |
 +-------------+--------------+------------+
 | 7  234  6   | 23  24   9   | 1   5   8  |
 | 5  124  124 | 8   2467 247 | 9   3   26 |
 | 9  23   8   | 235 256  1   | 4   7   26 |
 +-------------+--------------+------------+
 
 | 
 Play this puzzle online at the Daily Sudoku site
 
 Potential 49-19-14 DP in r258c23. Possibilities r2c23=2, r5c2=6, r8c23=2 yield common outcome r6c56=48.
 | 
 
 Marty,
 
 I do not understand your statement that the common outcome is r6c56=48; this is already the condition after basics.
 
 Ted
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 I screw up basics on a huge number of puzzles. Dan's grid shows the 48 pairs, but maybe he copied my grid. At any rate, I'm not seeing how the eliminations get made.
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Mon Jul 30, 2012 4:51 pm    Post subject: |   |  
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				|  	  | Marty R. wrote: |  	  | I screw up basics on a huge number of puzzles. Dan's grid shows the 48 pairs, but maybe he copied my grid. At any rate, I'm not seeing how the eliminations get made. | 
 
  	  | Code: |  	  | *--------------------------------------------------------------------* | 1236   5      7      | 4      1238   238    | 28     268    9      |
 | 23     2349   249    | 235    2358   6      | 7      248    1      |
 | 8      1246   124    | 9      127    27     | 3      246    5      |
 |----------------------+----------------------+----------------------|
 | 4      8      3      | 6      9      25     | 25     1      7      |
 | 126    1269   1259   | 7      23458  23458  | 258    248    24     |
 | 2      7      25     | 1      2458   2458   | 6      9      3      |
 |----------------------+----------------------+----------------------|
 | 7      234    6      | 23     234    9      | 1      5      8      |
 | 5      124    124    | 8      2467   247    | 9      3      26     |
 | 9      23     8      | 235    2356   1      | 4      7      26     |
 *--------------------------------------------------------------------*
 Got there from here
 | 
 dan
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Mon Jul 30, 2012 5:51 pm    Post subject: |   |  
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				| Dan, you overestimate me. Finesse doesn't work, I need to be hit over the head. 
 I'm stuck here, which is somewhat different from my original grid.
 
 
  	  | Code: |  	  | +-------------+-------------+----------+
 | 16 5    7   | 4   18  28  | 8 26  9  |
 | 3  249  249 | 235 35  6   | 7 24  1  |
 | 8  1246 124 | 9   17  27  | 3 246 5  |
 +-------------+-------------+----------+
 | 4  8    3   | 6   9   5   | 2 1   7  |
 | 16 169  19  | 7   2   3   | 5 8   4  |
 | 2  7    5   | 1   48  48  | 6 9   3  |
 +-------------+-------------+----------+
 | 7  234  6   | 23  34  9   | 1 5   8  |
 | 5  124  124 | 8   467 247 | 9 3   26 |
 | 9  23   8   | 235 356 1   | 4 7   26 |
 +-------------+-------------+----------+
 
 | 
 Play this puzzle online at the Daily Sudoku site
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
 | 
			
				|  Posted: Mon Jul 30, 2012 6:45 pm    Post subject: |   |  
				| 
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				|  	  | Marty R. wrote: |  	  | Dan, you overestimate me. Finesse doesn't work, I need to be hit over the head. 
 I'm stuck here, which is somewhat different from my original grid.
 
 
  	  | Code: |  	  | +-------------+-------------+----------+
 | 16 5    7   | 4   18  28  | 8 26  9  |
 | 3  249  249 | 235 35  6   | 7 24  1  |
 | 8  1246 124 | 9   17  27  | 3 246 5  |
 +-------------+-------------+----------+
 | 4  8    3   | 6   9   5   | 2 1   7  |
 | 16 169  19  | 7   2   3   | 5 8   4  |
 | 2  7    5   | 1   48  48  | 6 9   3  |
 +-------------+-------------+----------+
 | 7  234  6   | 23  34  9   | 1 5   8  |
 | 5  124  124 | 8   467 247 | 9 3   26 |
 | 9  23   8   | 235 356 1   | 4 7   26 |
 +-------------+-------------+----------+
 
 | 
 Play this puzzle online at the Daily Sudoku site
 | 
 The grid shown is invalid (does not have a solution)
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Tue Jul 31, 2012 12:28 am    Post subject: |   |  
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				| Well, if you guys would like to let me in on the secret, I'd appreciate it. I tried it again with pencil and paper and end up with the same grid I posted originally, with r6c56 not solved. Is this grid invalid too? 
 
  	  | Code: |  	  | +-------------+--------------+------------+
 | 16 5    7   | 4   1238 238 | 28  268 9  |
 | 3  249  249 | 25  258  6   | 7   248 1  |
 | 8  1246 124 | 9   127  27  | 3   246 5  |
 +-------------+--------------+------------+
 | 4  8    3   | 6   9    25  | 25  1   7  |
 | 16 169  19  | 7   23   235 | 258 28  4  |
 | 2  7    5   | 1   48   48  | 6   9   3  |
 +-------------+--------------+------------+
 | 7  234  6   | 23  24   9   | 1   5   8  |
 | 5  124  124 | 8   2467 247 | 9   3   26 |
 | 9  23   8   | 235 256  1   | 4   7   26 |
 +-------------+--------------+------------+
 
 | 
 Play this puzzle online at the Daily Sudoku site
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Tue Jul 31, 2012 1:39 am    Post subject: |   |  
				| 
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				|  	  | Marty R. wrote: |  	  | Well, if you guys would like to let me in on the secret, I'd appreciate it. I tried it again with pencil and paper and end up with the same grid I posted originally, with r6c56 not solved. Is this grid invalid too? 
 
  	  | Code: |  	  | +-------------+--------------+------------+
 | 16 5    7   | 4   1238 238 | 28  268 9  |
 | 3  249  249 | 25  258  6   | 7   248 1  |
 | 8  1246 124 | 9   127  27  | 3   246 5  |
 +-------------+--------------+------------+
 | 4  8    3   | 6   9    25  | 25  1   7  |
 | 16 169  19  | 7   23   235 | 258 28  4  |
 | 2  7    5   | 1   48   48  | 6   9   3  |
 +-------------+--------------+------------+
 | 7  234  6   | 23  24   9   | 1   5   8  |
 | 5  124  124 | 8   2467 247 | 9   3   26 |
 | 9  23   8   | 235 256  1   | 4   7   26 |
 +-------------+--------------+------------+
 
 | 
 Play this puzzle online at the Daily Sudoku site
 | 
 This one works!
 
  	  | Code: |  	  | *-----------------------------------------------------------* | 16    5     7     | 4     1238 d23-8  |a28    268   9     |
 | 3     249   249   | 25    258   6     | 7     248   1     |
 | 8     1246  124   | 9     127   27    | 3     246   5     |
 |-------------------+-------------------+-------------------|
 | 4     8     3     | 6     9     25    | 25    1     7     |
 | 16    169   19    | 7     23   c235   |b258   28    4     |
 | 2     7     5     | 1     48    48    | 6     9     3     |
 |-------------------+-------------------+-------------------|
 | 7     234   6     | 23    24    9     | 1     5     8     |
 | 5     124   124   | 8     2467  247   | 9     3     26    |
 | 9     23    8     | 235   256   1     | 4     7     26    |
 *-----------------------------------------------------------*
 L3-wing
 8r1c7=(8-5)r5c7=(5-3)r5c6=3r1c6 => -8r1c6
 
 
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Tue Jul 31, 2012 4:02 am    Post subject: |   |  
				| 
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				|  	  | arkietech wrote: |  	  |  	  | Marty R. wrote: |  	  | Well, if you guys would like to let me in on the secret, I'd appreciate it. I tried it again with pencil and paper and end up with the same grid I posted originally, with r6c56 not solved. Is this grid invalid too? 
 
  	  | Code: |  	  | +-------------+--------------+------------+
 | 16 5    7   | 4   1238 238 | 28  268 9  |
 | 3  249  249 | 25  258  6   | 7   248 1  |
 | 8  1246 124 | 9   127  27  | 3   246 5  |
 +-------------+--------------+------------+
 | 4  8    3   | 6   9    25  | 25  1   7  |
 | 16 169  19  | 7   23   235 | 258 28  4  |
 | 2  7    5   | 1   48   48  | 6   9   3  |
 +-------------+--------------+------------+
 | 7  234  6   | 23  24   9   | 1   5   8  |
 | 5  124  124 | 8   2467 247 | 9   3   26 |
 | 9  23   8   | 235 256  1   | 4   7   26 |
 +-------------+--------------+------------+
 
 | 
 Play this puzzle online at the Daily Sudoku site
 | 
 This one works!
 
  	  | Code: |  	  | *-----------------------------------------------------------* | 16    5     7     | 4     1238 d23-8  |a28    268   9     |
 | 3     249   249   | 25    258   6     | 7     248   1     |
 | 8     1246  124   | 9     127   27    | 3     246   5     |
 |-------------------+-------------------+-------------------|
 | 4     8     3     | 6     9     25    | 25    1     7     |
 | 16    169   19    | 7     23   c235   |b258   28    4     |
 | 2     7     5     | 1     48    48    | 6     9     3     |
 |-------------------+-------------------+-------------------|
 | 7     234   6     | 23    24    9     | 1     5     8     |
 | 5     124   124   | 8     2467  247   | 9     3     26    |
 | 9     23    8     | 235   256   1     | 4     7     26    |
 *-----------------------------------------------------------*
 L3-wing
 8r1c7=(8-5)r5c7=(5-3)r5c6=3r1c6 => -8r1c6
 
 
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 | 
 Thank you Dan. However, Ted noted that r6c56 were solved after basics and I still don't see how to get there.
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Tue Jul 31, 2012 5:04 am    Post subject: |   |  
				| 
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				| I haven't been following the discussion, but this is the after basics grid: 
  	  | Code: |  	  | +----------------+----------------+----------------+ | 16   5    7    | 4    1238 238  | 28   268  9    |
 | 3    249  249  | 25   258  6    | 7    248  1    |
 | 8    1246 124  | 9    127  27   | 3    246  5    |
 +----------------+----------------+----------------+
 | 4    8    3    | 6    9    25   | 25   1    7    |
 | 16   169  19   | 7    23   235  | 258  28   4    |
 | 2    7    5    | 1    48   48   | 6    9    3    |
 +----------------+----------------+----------------+
 | 7    234  6    | 23   24   9    | 1    5    8    |
 | 5    124  124  | 8    2467 247  | 9    3    26   |
 | 9    23   8    | 235  256  1    | 4    7    26   |
 +----------------+----------------+----------------+
 | 
 There are two URs:  25 and 26.
 Keith
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