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		Earl
 
 
  Joined: 30 May 2007 Posts: 677 Location: Victoria, KS
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				 Posted: Wed Mar 31, 2010 2:19 am    Post subject: March 31 VH | 
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				The old reliable does it again.
 
 
Solution:  126 xy-wing
 
 
Early Earl | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Wed Mar 31, 2010 3:29 am    Post subject:  | 
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				Here is a one step solution that is not the "old reliable"; a hidden pair.
 
 
hp56[(56)r79c1 = (2)r7c1]r79c1 - r7c89 = r8c7 - (2=6)r2c7 - r2c6 = r3c6; r3c1<>6.
 
 
Ted | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Wed Mar 31, 2010 4:47 am    Post subject:  | 
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				 	  | tlanglet wrote: | 	 		  Here is a one step solution that is not the "old reliable"; a hidden pair.
 
 
hp56[(56)r79c1 = (2)r7c1]r79c1 - r7c89 = r8c7 - (2=6)r2c7 - r2c6 = r3c6; r3c1<>6.
 
 
Ted | 	  
 
If you're saying that a hidden pair is a one-stepper, then I think you're saying it required no more than basics, which is what I found. | 
			 
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		nataraj
 
 
  Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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				 Posted: Wed Mar 31, 2010 6:03 am    Post subject:  | 
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				A little more than basics is needed.
 
 
After basics:
 
 	  | Code: | 	 		  
 
 
+--------------------------+--------------------------+--------------------------+ 
 
| 4       3       16       | 9       7       2        | 8       15      56       | 
 
| 7       5       126      | 3       8       16       | 26      4       9        | 
 
| 26      8       9        | 15      4       156      | 7       12      3        | 
 
+--------------------------+--------------------------+--------------------------+ 
 
| 89      1       4        | 58      2       3        | 59      6       7        | 
 
| 3       2       5        | 67      69      79       | 1       8       4        | 
 
| 89      6       7        | 4       1       58       | 3       259     25       | 
 
+--------------------------+--------------------------+--------------------------+ 
 
| 256     7       3        | 18      69      18       | 4       259     256      | 
 
| 1       4       26       | 67      5       79       | 269     3       8        | 
 
| 56      9       8        | 2       3       4        | 56      7       1        | 
 
+--------------------------+--------------------------+--------------------------+ 
 
 | 	  
 
 
Starting from top left, the first cell that I looked at (r1c2) directly led to the solution: xy-wing. Going to get the second coffee now. | 
			 
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		peterj
 
 
  Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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				 Posted: Wed Mar 31, 2010 9:05 am    Post subject:  | 
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				I saw the xy-wing but searched longer and quickly found a nice 5-link xy-chain which is also a one-stepper...
 
 
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(1=6)r1c3-(6=5)r1c9-(5=1)r1c8-(1=2)r3c8-(2=6)r2c7-(6=1)r2c6; r1c3<>1 | 	  
 
 
Seeing it has remote pairs on the end is this a special case of a W-wing? | 
			 
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		nataraj
 
 
  Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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				 Posted: Wed Mar 31, 2010 1:12 pm    Post subject:  | 
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				 	  | peterj wrote: | 	 		  I saw the xy-wing but searched longer and quickly found a nice 5-link xy-chain which is also a one-stepper...
 
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       I was not aware that there was a contest for the LONGEST chain ...  
 
 
But while I'm at it, might as well enter this beauty - it has 10 links (and of course it also solves the puzzle ...)
 
 
(6)r2c7-(6=5)r1c9-(5=1)r1c8-(1=2)r3c8-(2=6)r2c7-(6=5)r9c7-(5=9)r4c7-(9=8)r4c1-(8=5)r4c4-(5=1)r3c4-(1=6)r2c6-(6)r2c7; r2c7<>6
 
 
beautiful, just beautiful ...
 
 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Wed Mar 31, 2010 3:46 pm    Post subject:  | 
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				I like the way your chain "eats" part of itself!   | 
			 
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		Clement
 
 
  Joined: 24 Apr 2006 Posts: 1113 Location: Dar es Salaam Tanzania
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				 Posted: Wed Mar 31, 2010 3:49 pm    Post subject:  | 
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				| W-Wing 26 in r23c17 with a strong link 6 in row 9 eliminaing 2 in r3c8 solves the puzzle. | 
			 
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		nataraj
 
 
  Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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				 Posted: Wed Mar 31, 2010 4:42 pm    Post subject:  | 
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				 	  | Mogulmeister wrote: | 	 		  I like the way your chain "eats" part of itself!   | 	  
 
 
yea, me too ...
 
At first I went like "Hey, is this possible? A chain that removes part of the chain itself?" but it is a valid chain alright. Weird, though.
 
 
Reminds me of those monstrous lobster-like beasts ("Dum-a chum", "dod-a-chock") with huge claws in the first chapter of Stephen King's "Drawing of the Three". Click-click, pincers waving, snap, eat, snap ... oops it's eaten itself  
 
 
xy-wings never do that ... how boring   | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Wed Mar 31, 2010 5:04 pm    Post subject:  | 
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				You're in the home of psychiatry there...I was just wondering if your chain could stand in for a Rorschach ink blot test.
 
 
Is it a crab ? A gun ? A dancer (landscape view) ?
 
 
Either way, style points for sure.
 
 
(My apologies to all who feel these observations are just too flippant) | 
			 
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		peterj
 
 
  Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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				 Posted: Wed Mar 31, 2010 7:59 pm    Post subject:  | 
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				| If there's such a thing as "chain envy", I've got it... | 
			 
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		nataraj
 
 
  Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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				 Posted: Wed Mar 31, 2010 8:11 pm    Post subject:  | 
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				Psychology, Vienna, Freud, Rohrschach test, chain envy ...
 
 
peterj and Mogulmeister, say no more ...
 
 
   I never imagined what depths of interpretation could lurk in a simple daily "very hard" .
 
 
 
oops    did it again ... ok what I meant to say is "in a very difficult" | 
			 
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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Wed Mar 31, 2010 10:11 pm    Post subject:  | 
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				 	  | nataraj wrote: | 	 		         I was not aware that there was a contest for the LONGEST chain ...  
 
 
But while I'm at it, might as well enter this beauty - it has 10 links (and of course it also solves the puzzle ...)
 
 
(6)r2c7-(6=5)r1c9-(5=1)r1c8-(1=2)r3c8-(2=6)r2c7-(6=5)r9c7-(5=9)r4c7-(9=8)r4c1-(8=5)r4c4-(5=1)r3c4-(1=6)r2c6-(6)r2c7; r2c7<>6
 
 | 	  
 
Alternately a lasso: 14 bivalue cells (core from nataraj + extension)
 
 
(6=5)r1c9-(5=1)r1c8-(1=2)r3c8-(2=6)r2c7-(6=5)r9c7-(5=9)r4c7-(9=8)r4c1-(8=5)r4c4-(5=1)r3c4-(1=6)r2c6-(6=2)r2c7-(2=1)r3c8-(1=5)r1c8-(5=6)r1c9; => r1c9=6 | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Thu Apr 01, 2010 6:34 am    Post subject:  | 
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				ja, aber wo ist das Diagramm?
 
 
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		nataraj
 
 
  Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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				 Posted: Thu Apr 01, 2010 6:10 pm    Post subject:  | 
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				looking for a diagram ?
 
 
like this one, maybe ?     
 
 
 
 
 
...
 
 
Aaaahhh  ... a LASSO diagram ... 
 
 
sorry. we don't carry these here   | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Thu Apr 01, 2010 8:01 pm    Post subject:  | 
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				 	  | nataraj wrote: | 	 		  Psychology, Vienna, Freud, Rohrschach test, chain envy ...
 
 
peterj and Mogulmeister, say no more ...
 
 
   I never imagined what depths of interpretation could lurk in a simple daily "very hard" .
 
 
 
oops    did it again ... ok what I meant to say is "in a very difficult" | 	  
 
Or, as Freud is reputed to have said, "Sometimes a cigar is only a cigar".
 
 
Keith | 
			 
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		nataraj
 
 
  Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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				 Posted: Thu Apr 01, 2010 8:29 pm    Post subject:  | 
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				 	  | keith wrote: | 	 		  
 
Or, as Freud is reputed to have said, "Sometimes a cigar is only a cigar".
 
 
Keith | 	  
 
 
Thanks, Keith. That's reassuring. If even old Siegmund said a thing like that, we can safely go on discussing our sudoku techniques.
 
 
Honi soit qui mal y pense. | 
			 
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		Wendy W
 
 
  Joined: 04 Feb 2008 Posts: 144
 
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				 Posted: Fri Apr 02, 2010 12:21 am    Post subject:  | 
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				I don't know what it was about this puzzle, but I started it literally five times and kept messing up. *Finally* got it with two X-wings (2 and 7) and an XY-wing (126) but it was a bear. 
 
I should add that I live on a one-lane gravel road. | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Fri Apr 02, 2010 2:19 am    Post subject:  | 
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				nataraj,
 
 
Thank you.  This kind of exchange puts a smile on my face for days.
 
 
Given my passion and preoccupation, I think my wife may not agree:   	  | Quote: | 	 		  | "Sometimes, a Sudoku is only a Sudoku." | 	  
 
Best wishes,
 
 
Keith
  Last edited by keith on Fri Apr 02, 2010 4:08 pm; edited 1 time in total | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Fri Apr 02, 2010 3:53 pm    Post subject:  | 
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				Only a cigar/sudoku ?
 
 
Remember that cigars finally did for Freud. 
 
 
Has anyone died of a sudoku related illness  yet ? | 
			 
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