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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Fri Jul 31, 2009 12:42 am    Post subject: July 31 VH, with apologies to Early Earl |   |  
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				| After basics. 
 
  	  | Code: |  	  | +----------+---------------+-----------+
 | 9  36 45 | 2   68   3468 | 568 7  1  |
 | 7  2  45 | 468 1    9    | 568 68 3  |
 | 8  36 1  | 5   7    36   | 4   9  2  |
 +----------+---------------+-----------+
 | 1  4  7  | 68  3    5    | 9   2  68 |
 | 6  8  3  | 9   2    1    | 7   5  4  |
 | 2  5  9  | 7   4    68   | 3   1  68 |
 +----------+---------------+-----------+
 | 45 1  6  | 3   58   7    | 2   48 9  |
 | 45 79 2  | 1   5689 468  | 568 3  57 |
 | 3  79 8  | 46  59   2    | 1   46 57 |
 +----------+---------------+-----------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 
  	  | Quote: |  	  | In the potential DP 57-59-79 in boxes 789 the only way to kill it is with either a 6 or 8 in r8c5. This forms a 68 pair with r1c5 and that solves it. | 
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		| crunched 
 
 
 Joined: 05 Feb 2008
 Posts: 168
 
 
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				|  Posted: Fri Jul 31, 2009 12:58 am    Post subject: |   |  
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				| Impressive indeed, Marty. I used the more conventional wing solutions. An xyz, followed by an xy.
 
 
  	  | Quote: |  	  | (xyz wing uses 4-6-8 followed by xy wing of 46-48-68 ) | 
  	  | Code: |  	  | +----------+---------------+-----------+
 | 9  36 45 | 2   68   3468 | 568 7  1  |
 | 7  2  45 | 468 1    9    | 568 68 3  |
 | 8  36 1  | 5   7    36   | 4   9  2  |
 +----------+---------------+-----------+
 | 1  4  7  | 68  3    5    | 9   2  68 |
 | 6  8  3  | 9   2    1    | 7   5  4  |
 | 2  5  9  | 7   4    68   | 3   1  68 |
 +----------+---------------+-----------+
 | 45 1  6  | 3   58   7    | 2   48 9  |
 | 45 79 2  | 1   5689 468  | 68  3  57 |
 | 3  79 8  | 46  59   2    | 1   46 57 |
 +----------+---------------+-----------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 Last edited by crunched on Fri Jul 31, 2009 4:08 am; edited 1 time in total
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Fri Jul 31, 2009 1:10 am    Post subject: |   |  
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				| I used two steps  	  | Quote: |  	  | w-wing 68 w-wing 84
 
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		| rayswchiu 
 
 
 Joined: 31 Jul 2009
 Posts: 1
 
 
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				|  Posted: Fri Jul 31, 2009 1:24 am    Post subject: i used remote pairs |   |  
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				| 68 |  | 
	
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		| David 
 
 
 Joined: 02 Jun 2006
 Posts: 58
 Location: Bedford, UK
 
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				|  Posted: Fri Jul 31, 2009 2:19 pm    Post subject: |   |  
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				| C'mon Earl, we all know you have stolen Marty's IP address and pretended to post under his name ! 
 Crunched - unless I made a mistake, can you not solve the puzzle with just the 468 xyz wing ? [/quote]
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Fri Jul 31, 2009 3:42 pm    Post subject: |   |  
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				|  	  | Quote: |  	  | Crunched - unless I made a mistake, can you not solve the puzzle with just the 468 xyz wing ? | 
 I'm not Crunched...but using his grid I couldn't solve it with the XYZ-Wing. I got stuck here:
 
 
  	  | Code: |  	  | +----------+-----------+-----------+
 | 9  3  45 | 2  6   48 | 58  7  1  |
 | 7  2  45 | 48 1   9  | 568 68 3  |
 | 8  6  1  | 5  7   3  | 4   9  2  |
 +----------+-----------+-----------+
 | 1  4  7  | 68 3   5  | 9   2  68 |
 | 6  8  3  | 9  2   1  | 7   5  4  |
 | 2  5  9  | 7  4   68 | 3   1  68 |
 +----------+-----------+-----------+
 | 45 1  6  | 3  58  7  | 2   48 9  |
 | 45 79 2  | 1  589 46 | 68  3  57 |
 | 3  79 8  | 46 59  2  | 1   46 57 |
 +----------+-----------+-----------+
 
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 Play this puzzle online at the Daily Sudoku site
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Fri Jul 31, 2009 4:15 pm    Post subject: Fri 31-Jul-2009 VH |   |  
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				| I used three steps:- 1) UR (36)r13c26 eliminating 36 in r1c6.
 2) XYZ-Wing (46)r9c4-(468)r8c6-(68)r8c7 eliminating 6 in r8c5 leading to
 3) an XY-Wing (46)r9c8-(68)r2c8-(48)r2c4 eliminating 4 in r9c4 completes the puzzle.
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		| cgordon 
 
 
 Joined: 04 May 2007
 Posts: 769
 Location: ontario, canada
 
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				|  Posted: Fri Jul 31, 2009 5:51 pm    Post subject: |   |  
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				| Looking at Clement's steps - the puzzle can be done with just the two 468 wings. Don't need no UR! |  | 
	
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		| cgordon 
 
 
 Joined: 04 May 2007
 Posts: 769
 Location: ontario, canada
 
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				|  Posted: Fri Jul 31, 2009 5:52 pm    Post subject: |   |  
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				| Looking at Clement's steps - the puzzle can be done with just the two 468 wings. Don't need no UR! |  | 
	
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		| David 
 
 
 Joined: 02 Jun 2006
 Posts: 58
 Location: Bedford, UK
 
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				|  Posted: Fri Jul 31, 2009 5:53 pm    Post subject: |   |  
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				| Marty, If you go back to your first grid (posting), then I believe you can eliminate the 5 from R9 C7 to leave 68 (due to the 5's in box 3. Do you not then have an XYZ wing (46-468-68, boxes 8,9) that eliminates the 6 in R9 C8 ?
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		| Roger S 
 
 
 Joined: 20 Jun 2009
 Posts: 6
 Location: UK
 
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				|  Posted: Fri Jul 31, 2009 9:06 pm    Post subject: |   |  
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				| Marty 
 If you go back to your origional post is there an xyz wing in 468-68-46 in
 R2c4 (468) R2C8 (6
  R9C4(46) eliminating the 6 inR9C4 I did that and it dropped out but not sure if its correct |  | 
	
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		| Wendy W 
 
 
 Joined: 04 Feb 2008
 Posts: 144
 
 
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				|  Posted: Fri Jul 31, 2009 10:07 pm    Post subject: |   |  
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				| This one was a welcome change from the usual no-brainers! |  | 
	
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sat Aug 01, 2009 2:03 am    Post subject: |   |  
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				|  	  | David wrote: |  	  | Marty, If you go back to your first grid (posting), then I believe you can eliminate the 5 from R9 C7 to leave 68 (due to the 5's in box 3. Do you not then have an XYZ wing (46-468-68, boxes 8,9) that eliminates the 6 in R9 C8 ?
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 David, yes, that 5 should have been gone but the XYZ-Wing in boxes 89 eliminates the 6 from r8c5.
 
 
  	  | Quote: |  	  | If you go back to your origional post is there an xyz wing in 468-68-46 in
 R2c4 (468) R2C8 (6Cool R9C4(46) eliminating the 6 inR9C4 I did that and it dropped out but not sure if its correct
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 Roger, that is an XYZ-Wing, but because it's in three different boxes it doesn't eliminate anything because there's no cell I can see that sees all three of XYZ, XZ and YZ.
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		| tlanglet 
 
 
 Joined: 17 Oct 2007
 Posts: 2468
 Location: Northern California Foothills
 
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				|  Posted: Sat Aug 01, 2009 2:49 pm    Post subject: |   |  
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				| I used two xy-wings to complete the puzzle. xy-wing 46-8 with pivot 46 in r9c8 and pseudocell 48 in col4 plus a transport
 xy-wing -458 with pivot 58 in r7c5.
 
 Ted
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