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		| Mindwarp 
 
 
 Joined: 13 Sep 2007
 Posts: 25
 Location: St. Ives, England
 
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				|  Posted: Sun Mar 23, 2008 1:40 am    Post subject: March 23 -vh |   |  
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				| Have I made a mistake somewhere, it only took me 5 minutes and 5 seconds to solve this one? |  | 
	
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		| nataraj 
 
 
 Joined: 03 Aug 2007
 Posts: 1048
 Location: near Vienna, Austria
 
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				|  Posted: Sun Mar 23, 2008 9:17 am    Post subject: |   |  
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				| For me, it took considerably longer. 
 Not at the beginning: the puzzle practically solved itself...
 
 But there IS a position where "vh" techniques are needed:
 
 
  	  | Code: |  	  | +--------------------------+--------------------------+--------------------------+
 | 5       49      6        | 3       7       18       | 2       14      89       |
 | 49      8       1        | 6       49      2        | 5       7       3        |
 | 3       7       2        | 49      18      5        | 146     146     89       |
 +--------------------------+--------------------------+--------------------------+
 | 6       1       3        | 8       5       4        | 9       2       7        |
 | 2       5       7        | 1       6       9        | 3       8       4        |
 | 49      49      8        | 2       3       7        | 16      5       16       |
 +--------------------------+--------------------------+--------------------------+
 | 7       2       49       | 5       149     136      | 8       1346    16       |
 | 1       3       5        | 7       48      68       | 46      9       2        |
 | 8       6       49       | 49      2       13       | 7       13      5        |
 +--------------------------+--------------------------+--------------------------+
 
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 What with all those 49 pairs arond, I spent too much time looking for URs
 In the end I settled for this route: x-wing plus some more coloring
 
 Only when I prepared the grid for posting I found out that there is an xyz wing which solves the puzzle in one step.
 
 So could have been solved real fast if you hit the xyz wing right away.
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		| Victor 
 
 
 Joined: 29 Sep 2005
 Posts: 207
 Location: NI
 
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				|  Posted: Sun Mar 23, 2008 10:58 am    Post subject: |   |  
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				| No nice hint with ensuing joke this time, Nataraj!  (Tried to think of some other joke about 16 & squares or roots or something but I guess it was all said.) |  | 
	
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		| cgordon 
 
 
 Joined: 04 May 2007
 Posts: 769
 Location: ontario, canada
 
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				|  Posted: Sun Mar 23, 2008 12:28 pm    Post subject: |   |  
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				| Four very hards in 8 days - no wonder my wife asked me why I was smiling this morning. 
 Anyway, I found a plethora of ERs for 1's and 4's but the one that solved it was for 4's using R8 and Box 2. This got rid of the 4 in R3C7 and left a Type 2 UR for 136 in R79.
 
 Nice one !!
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		| tlanglet 
 
 
 Joined: 17 Oct 2007
 Posts: 2468
 Location: Northern California Foothills
 
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				|  Posted: Sun Mar 23, 2008 12:44 pm    Post subject: |   |  
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				| First, I found a X-wing in r19c68 that eliminated a couple of 1's including one at r7c6. Then I spotted a XY-wing on 136 with pivot at r7c6 and pincers at r9c6/r7c9 that removed a 1 at r9c8 which broke it open. 
 Ted
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		| cgordon 
 
 
 Joined: 04 May 2007
 Posts: 769
 Location: ontario, canada
 
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				|  Posted: Sun Mar 23, 2008 1:41 pm    Post subject: |   |  
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				| ....actually I looked at this one again and saw a one step ER solution for 4's using the two 4's in C7 and the ER (or hinge) in Box 2 which eliminates the 4 in R8C5.  Plain sailing after that. |  | 
	
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		| TexCat 
 
 
 Joined: 07 Jul 2006
 Posts: 32
 
 
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				|  Posted: Sun Mar 23, 2008 2:39 pm    Post subject: |   |  
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				| I used the skyscraper of 4's in columns 4 and 7 that eliminates the same 4 in R8C5. |  | 
	
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sun Mar 23, 2008 3:34 pm    Post subject: |   |  
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				| A Type 4 UR and a kite on 4 did it for me. |  | 
	
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		| A.J. 
 
 
 Joined: 21 Mar 2008
 Posts: 5
 Location: San Diego, CA
 
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				|  Posted: Sun Mar 23, 2008 11:15 pm    Post subject: |   |  
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				| I also found the skyscraper in 4's in column 4 and 7 and it fell out quickly after that.  |  | 
	
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		| storm_norm 
 
 
 Joined: 18 Oct 2007
 Posts: 1741
 
 
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				|  Posted: Mon Mar 24, 2008 2:10 am    Post subject: |   |  
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				| x-wing on 1 
 xy-wing {1,3,6}
 
 the grid at this point is also a BUG.
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Mon Mar 24, 2008 8:18 am    Post subject: Sun 23-Mar-2008 VH |   |  
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				| I find the solution by tlanglet the best. X-Wing & XY-Wing. |  | 
	
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		| cgordon 
 
 
 Joined: 04 May 2007
 Posts: 769
 Location: ontario, canada
 
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				|  Posted: Mon Mar 24, 2008 11:40 pm    Post subject: |   |  
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				|  	  | Quote: |  	  | I find the solution by tlanglet the best. X-Wing & XY-Wing. | 
 
 Actually I would nominate TexCat's initial skyscraper.  Surely the solution with the fewest and most simple techniques has to be the "best".
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		| prakash 
 
 
 Joined: 02 Jan 2008
 Posts: 67
 Location: New Jersey, USA
 
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				|  Posted: Tue Mar 25, 2008 1:09 am    Post subject: |   |  
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				|  	  | Quote: |  	  | Actually I would nominate TexCat's initial skyscraper. Surely the solution with the fewest and most simple techniques has to be the "best".
 
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 It looks like someone doesn't like XY-wings.
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		| nataraj 
 
 
 Joined: 03 Aug 2007
 Posts: 1048
 Location: near Vienna, Austria
 
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				|  Posted: Tue Mar 25, 2008 6:40 am    Post subject: |   |  
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				|  	  | cgordon wrote: |  	  | Surely the solution with the fewest and most simple techniques has to be the "best". | 
 
 Hm.
 
 Think of a movie. Let's say, something like "Iron Monkey", "Tai Chi Boxer", or the more recent and better known "Crouching Tiger, Hidden Dragon".
 
 Good guy/gal and bad guy/gal stand opposite each other. Then they fight it out over an extended period of time, going up walls, flying through the air, using all sorts of weapons and their bare hands (and ruining most of the furniture in the process).
 
 Think of another script for that scene: guy pulls out a gun. bang.
 
 Better?
 
 Now that's a bit extreme, of course. All I'm saying is that good/better implies a set of values. And those tend to be different from person to person, so I'm not so sure about that "surely"
   __
 
 BTW, if I remember correctly, the second route was taken by Indiana Jones in a bazaar. A hilarious scene, just because of the unexpected "simple, yet efficient"  method.
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		| cgordon 
 
 
 Joined: 04 May 2007
 Posts: 769
 Location: ontario, canada
 
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				|  Posted: Tue Mar 25, 2008 11:45 am    Post subject: |   |  
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				|  	  | Quote: |  	  | Think of a movie. Let's say, something like "Iron Monkey", "Tai Chi Boxer", or the more recent and better known "Crouching Tiger, Hidden Dragon". | 
 
 Never liked “Crouching Tiger, Hidden Dragon” but I’ll concede that the violence in “A Clockwork Orange” was made the more elegant by the accompaniment of Beethoven and Gene Kelly.   But then one could say
 1*-1=-1  or  one could say e^(pi*i) = -1.  Should the solution be efficient or elegant?   It gets sooo philosophical!
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		| CORUJA 
 
 
 Joined: 16 Jun 2007
 Posts: 15
 Location: BRUMADINHO - MG; BRAZIL
 
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				|  Posted: Wed Mar 26, 2008 2:03 pm    Post subject: |   |  
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				|  	  | cgordon wrote: |  	  |  	  | Quote: |  	  | Think of a movie. Let's say, something like "Iron Monkey", "Tai Chi Boxer", or the more recent and better known "Crouching Tiger, Hidden Dragon". | 
 
 Never liked “Crouching Tiger, Hidden Dragon” but I’ll concede that the violence in “A Clockwork Orange” was made the more elegant by the accompaniment of Beethoven and Gene Kelly.   But then one could say
 1*-1=-1  or  one could say e^(pi*i) = -1.  Should the solution be efficient or elegant?   It gets sooo philosophical!
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 For me, the point is: am I enjoying myself ?
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		| storm_norm 
 
 
 Joined: 18 Oct 2007
 Posts: 1741
 
 
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				|  Posted: Wed Mar 26, 2008 6:05 pm    Post subject: |   |  
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				|  	  | Quote: |  	  | Think of another script for that scene: guy pulls out a gun. bang. 
 Better?
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 its not elegant when watched from a standpoint of entertainment
 
 however,
 
 put yourself in that position, life at stake... I argue that the BANG method would probably feel like the most heavenly of elegant solutions.
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		| ravel 
 
 
 Joined: 21 Apr 2006
 Posts: 536
 
 
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				|  Posted: Wed Mar 26, 2008 6:10 pm    Post subject: |   |  
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				| Thanks for reminding me on this great formula by Euler, more thqn 250 years old. Its really rarely known, after all it is said to be the nicest formula in mathematics (and everyone knows Einstein's formula). 	  | cgordon wrote: |  	  | e^(pi*i) = -1 | 
 Since Gauss said, that it would be obvious for anybody, who has talent for mathematics, its no wonder, that i did not become a mathematician
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