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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Wed Apr 28, 2010 11:17 pm    Post subject: April 29 VH |   |  
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				| W-Wing 23 with strong link 2 in row 3 removes 3 in r4c7 solving the puzzle. |  | 
	
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		| prakash 
 
 
 Joined: 02 Jan 2008
 Posts: 67
 Location: New Jersey, USA
 
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				|  Posted: Thu Apr 29, 2010 1:50 am    Post subject: |   |  
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				| A XY wing (169) pivot r4c6 followed by another XY wing (127) pivot r5c8 clears it up. |  | 
	
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Thu Apr 29, 2010 3:49 am    Post subject: |   |  
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				| Also a Skyscraper on 2 in columns 39. |  | 
	
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		| peterj 
 
 
 Joined: 26 Mar 2010
 Posts: 974
 Location: London, UK
 
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				|  Posted: Thu Apr 29, 2010 7:55 am    Post subject: |   |  
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				| Also one of I suspect many xy-chains that solve it.. 
 (2=7)r5c3-(7=2)r2c3-(2=3)r2c9-(3=1)r7c9-(1=2)r4c9; r4c1<>2, r5c7<>2
 
 But probably in sledgehammer territory already..
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		| roaa 
 
 
 Joined: 18 Apr 2009
 Posts: 112
 Location: Sweden
 
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				|  Posted: Thu Apr 29, 2010 11:50 am    Post subject: |   |  
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				| The xy-wing 127 in rows 4 & 5 solves it in one step. |  | 
	
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Thu Apr 29, 2010 1:07 pm    Post subject: |   |  
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				| I found four different one step solutions: 2 skyscraper 2's
 xy-wing 127
 turbot taking out a 2 in r5c7
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		| tlanglet 
 
 
 Joined: 17 Oct 2007
 Posts: 2468
 Location: Northern California Foothills
 
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				|  Posted: Thu Apr 29, 2010 4:03 pm    Post subject: |   |  
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				| I found a xy-wing 2-34 with vertex 24 in r3c1 and pseudocell pincer 34 in r35c7; r4c7<>3 This step is simply another view of the  w=wing 23 already posted.
 
 Ted
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		| cgordon 
 
 
 Joined: 04 May 2007
 Posts: 769
 Location: ontario, canada
 
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				|  Posted: Thu Apr 29, 2010 10:56 pm    Post subject: |   |  
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				| Same skyscraper as Marty.  Unquestionably the simplest and most efficient solution.  Quite frankly I dismiss other solutions as rather tiresome and irrelevant.    |  | 
	
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		| Wendy W 
 
 
 Joined: 04 Feb 2008
 Posts: 144
 
 
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				|  Posted: Sat May 01, 2010 9:49 pm    Post subject: |   |  
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				| I don't quite see it like that: It just depends which "tool" you happen to see first. For me it was XY-567, then the much-mentioned XY-127. Does one start at the top or the bottom? It's arbitrary. |  | 
	
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		| cgordon 
 
 
 Joined: 04 May 2007
 Posts: 769
 Location: ontario, canada
 
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				|  Posted: Sat May 01, 2010 10:26 pm    Post subject: |   |  
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				|  	  | Quote: |  	  | I don't quite see it like that: It just depends which "tool" you happen to see first. For me it was XY-567, then the much-mentioned XY-127. Does one start at the top or the bottom? It's arbitrary. | 
 
 Sorry, it was an unfunny attempt to sound pompous  though in this case I am of course perfectly right.  There should be a grading by which one-steppers get respect for the simplest solutions - which in my opinion go Bug+1s,  Skyscrapers, URs, X-wings, ERs, xy wings
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		| Mogulmeister 
 
 
 Joined: 03 May 2007
 Posts: 1151
 
 
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				|  Posted: Sat May 01, 2010 10:36 pm    Post subject: |   |  
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				| Well, as has been discussed elsewhere on this board many times, different things are spotted by people depending on their proclivities. |  | 
	
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		| tlanglet 
 
 
 Joined: 17 Oct 2007
 Posts: 2468
 Location: Northern California Foothills
 
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				|  Posted: Sun May 02, 2010 1:13 am    Post subject: |   |  
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				| If you are judging "simplest solution", I would first suggest a definition of the term. 
 For example, it was declared that a skyscraper was the best. But look at the lowly turbot offered by arkietech. Comparing with the skyscraper we note that:
 both are single digit patterns; in this case the same digit, 2
 both steps involve four bivalue cells; two of which in this case are identical
 both make a single identical deletion, but the skyscraper makes a additional unnecessary deletion (negative value for the skyscraper)
 the skyscraper requires four boxes; the turbot only three boxes (more negative for the skyscraper)
 
 Thus based on this set of four criterion, the turbot used less resources that the skyscraper and would therefore be declared the winner.
     
 Ted
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		| Mogulmeister 
 
 
 Joined: 03 May 2007
 Posts: 1151
 
 
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				|  Posted: Sun May 02, 2010 10:33 am    Post subject: |   |  
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				| I can see cg saying that he finds skyscrapers easier to spot.  |  | 
	
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