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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Sat May 26, 2012 12:12 pm    Post subject: Vanhegan extreme | 
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				I'll make like Dan and donate a puzzle. This is #6-1308813, rated 2.1.0.1.1.
 
 
I used four non-chain moves.
 
 
 	  | Code: | 	 		  
 
+-------+-------+-------+
 
| . . 8 | . 9 . | . 4 . |
 
| 2 . . | 8 . . | . . 5 |
 
| 6 . . | . . 4 | . . . |
 
+-------+-------+-------+
 
| 7 . 6 | . 1 . | 4 . . |
 
| . 3 . | 6 . 8 | . 7 . |
 
| . . 9 | . 3 . | 1 . 8 |
 
+-------+-------+-------+
 
| . . . | 9 . . | . . 3 |
 
| 9 . . | . . . | . . 4 |
 
| . 6 . | . 8 . | 7 . . |
 
+-------+-------+-------+
 
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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: Sat May 26, 2012 12:57 pm    Post subject: Re: Vanhegan extreme | 
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				 	  | Marty R. wrote: | 	 		  I'll make like Dan and donate a puzzle. This is #6-1308813, rated 2.1.0.1.1.
 
 
I used four non-chain moves.
 
 
 	  | Code: | 	 		  
 
+-------+-------+-------+
 
| . . 8 | . 9 . | . 4 . |
 
| 2 . . | 8 . . | . . 5 |
 
| 6 . . | . . 4 | . . . |
 
+-------+-------+-------+
 
| 7 . 6 | . 1 . | 4 . . |
 
| . 3 . | 6 . 8 | . 7 . |
 
| . . 9 | . 3 . | 1 . 8 |
 
+-------+-------+-------+
 
| . . . | 9 . . | . . 3 |
 
| 9 . . | . . . | . . 4 |
 
| . 6 . | . 8 . | 7 . . |
 
+-------+-------+-------+
 
 | 	  
 
 | 	  
 
This is a bad puzzle. From the pattern there seems to be a given missing from r8c6   | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Sat May 26, 2012 1:06 pm    Post subject: Re: Vanhegan extreme | 
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				 	  | arkietech wrote: | 	 		   	  | Marty R. wrote: | 	 		  I'll make like Dan and donate a puzzle. This is #6-1308813, rated 2.1.0.1.1.
 
 
I used four non-chain moves.
 
 
 	  | Code: | 	 		  
 
+-------+-------+-------+
 
| . . 8 | . 9 . | . 4 . |
 
| 2 . . | 8 . . | . . 5 |
 
| 6 . . | . . 4 | . . . |
 
+-------+-------+-------+
 
| 7 . 6 | . 1 . | 4 . . |
 
| . 3 . | 6 . 8 | . 7 . |
 
| . . 9 | . 3 . | 1 . 8 |
 
+-------+-------+-------+
 
| . . . | 9 . . | . . 3 |
 
| 9 . . | . . . | . . 4 |
 
| . 6 . | . 8 . | 7 . . |
 
+-------+-------+-------+
 
 | 	  
 
 | 	  
 
This is a bad puzzle. From the pattern there seems to be a given missing from r8c6   | 	  
 
 
Try this:
 
 
--8-9--4-2--8----56----4---7-6-1-4---3-6-8-7---9-3-1-8---9----39----3--4-6--8-7--
 
 
 	  | Code: | 	 		  +----------------------+----------------------+----------------------+
 
| 135    157    8      | 12357  9      12567  | 236    4      1267   | 
 
| 2      1479   1347   | 8      67     167    | 369    1369   5      | 
 
| 6      1579   1357   | 12357  257    4      | 2389   12389  1279   | 
 
+----------------------+----------------------+----------------------+
 
| 7      258    6      | 25     1      259    | 4      2359   29     | 
 
| 145    3      1245   | 6      245    8      | 259    7      29     | 
 
| 45     245    9      | 2457   3      257    | 1      256    8      | 
 
+----------------------+----------------------+----------------------+
 
| 1458   124578 12457  | 9      24567  12567  | 2568   12568  3      | 
 
| 9      12578  1257   | 1257   2567   3      | 2568   12568  4      | 
 
| 1345   6      12345  | 1245   8      125    | 7      1259   129    | 
 
+----------------------+----------------------+----------------------+ | 	  
 
 
Keith | 
			 
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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Sat May 26, 2012 1:26 pm    Post subject:  | 
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				much better!   
 
 	  | Code: | 	 		  
 
 *-----------*
 
 |..8|.9.|.4.|
 
 |2..|8..|..5|
 
 |6..|..4|...|
 
 |---+---+---|
 
 |7.6|.1.|4..|
 
 |.3.|6.8|.7.|
 
 |..9|.3.|1.8|
 
 |---+---+---|
 
 |...|9..|..3|
 
 |9..|..3|..4|
 
 |.6.|.8.|7..|
 
 *-----------*
 
 *--------------------------------------------------------------------*
 
 |b135    7      8      | 123    9     c125    | 23     4      6      |
 
 | 2      49     34     | 8      67     67     | 39     1      5      |
 
 | 6      159    135    | 123    25     4      | 2389   28     7      |
 
 |----------------------+----------------------+----------------------|
 
 | 7      8      6      | 5      1      9      | 4      3      2      |
 
 | 14     3      124    | 6      24     8      | 5      7      9      |
 
 |a45     245    9      | 27-4   3      27     | 1      6      8      |
 
 |----------------------+----------------------+----------------------|
 
 | 8      1245   12457  | 9      24567  12567  | 26     25     3      |
 
 | 9      125    1257   | 127    2567   3      | 268    258    4      |
 
 | 35-4   6      2345   |e24     8     d25     | 7      9      1      |
 
 *--------------------------------------------------------------------*
 
xy-wing with extension
 
(4=5)r6c1-r1c1=r6c1-(5=2)r9c6-(2=4)r9c4 => r6c4,r9c1<>4; stte
 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Sat May 26, 2012 3:22 pm    Post subject:  | 
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				 	  | Quote: | 	 		  | This is a bad puzzle. From the pattern there seems to be a given missing from r8c6 | 	  
 
 
Sorry. Even double-checking when posting wasn't good enough.    | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Sat May 26, 2012 8:18 pm    Post subject:  | 
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				After basics: 	  | Code: | 	 		  +-------------------+-------------------+-------------------+
 
|C135   7     8     | 123   9    B125   | 23    4     6     | 
 
| 2     49    34    | 8     67    67    | 39    1     5     | 
 
| 6     159   135   | 123  A25    4     | 2389  28    7     | 
 
+-------------------+-------------------+-------------------+
 
| 7     8     6     | 5     1     9     | 4     3     2     | 
 
| 14    3    F124   | 6    -24    8     | 5     7     9     | 
 
|D45   E245   9     | 247   3     27    | 1     6     8     | 
 
+-------------------+-------------------+-------------------+
 
| 8     1245  12457 | 9     24567 12567 | 26    25    3     | 
 
| 9     125   1257  | 127   2567  3     | 268   258   4     | 
 
| 345   6     2345  | 24    8     25    | 7     9     1     | 
 
+-------------------+-------------------+-------------------+ | 	  M-wing:  5 in A causes 5 in E;  AF are pincers on 2.
 
 
Keith | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Sun May 27, 2012 1:32 pm    Post subject:  | 
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				Both of the previously posted solutions are very nice     
 
 
I initially tried some single digit steps and found a two step solution that also shared  some common logic with the previous posts. 
 
 
Kraken x-wing(4)r27c23=(4)r7c5-(4=2)r5c5-(2=14)r5c31; r6c2<>4
 
 
This set up a w-wing(25)r3c5/r6c2 with transport:
 
(5)r1c1=(5)r1c6-(5=2)r3c5-r5c5=r5c3-(2=5)r6c2; r3c2,r6c1<>5
 
 
Ted | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Sun May 27, 2012 2:48 pm    Post subject:  | 
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				 	  | tlanglet wrote: | 	 		  Both of the previously posted solutions are very nice     
 
 
Ted | 	  
 
There is another interesting M-wing combination, but it does not really lead to a different end game:
 
 	  | Code: | 	 		  +-------------------+-------------------+-------------------+
 
| 135   7     8     | 123   9     125   | 23    4     6     | 
 
| 2     49    34    | 8     67    67    | 39    1     5     | 
 
| 6     159   135   | 123   25    4     | 2389  28    7     | 
 
+-------------------+-------------------+-------------------+
 
| 7     8     6     | 5     1     9     | 4     3     2     | 
 
| 14    3    D124   | 6    A24    8     | 5     7     9     | 
 
| 45    25    9     |B247   3    -27    | 1     6     8     | 
 
+-------------------+-------------------+-------------------+
 
| 8     1245  12457 | 9    -24567 12567 | 26    25    3     | 
 
| 9     125   1257  | 127  -2567  3     | 268   258   4     | 
 
| 345   6    -2345  |C24    8    E25    | 7     9     1     | 
 
+-------------------+-------------------+-------------------+ | 	  
 
Classic M-wing:  4 in A forces 4 in C, and vice-versa.  CD are pincers on 2.
 
 
-2 in R9C3 opens another M-wing:  AE are pincers on 2.
 
 
It does a lot of damage, but I could not find it leads to a different ending solution path.
 
 
Keith | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Sun May 27, 2012 3:41 pm    Post subject:  | 
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				| I used four wings: M, M, Finned X and W. | 
			 
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