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		prakash
 
 
  Joined: 02 Jan 2008 Posts: 67 Location: New Jersey, USA
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				 Posted: Fri Jun 27, 2008 12:55 am    Post subject: June 27, VH | 
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				I am sure I missed something simple. I had to jump through hoops to get his done. 2 XYZ wings, 1 X Wing and 1 XY Wing. Anybody spot something simpler?
 
 
XYZ Wing 13-143-43 removes 3 from R3C7
 
X Wing on 3 removes 3 from R2C5
 
XYZ Wing 49-479-79 removes 9 from R3C7
 
XY Wing 17-27-12 removes 1 from R1C5 | 
			 
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		wapati
 
 
  Joined: 10 Jun 2008 Posts: 472 Location: Brampton, Ontario, Canada.
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				 Posted: Fri Jun 27, 2008 4:40 am    Post subject: Re: June 27, VH | 
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				 	  | prakash wrote: | 	 		  Anybody spot something simpler?
 
 | 	  
 
 
Shorter, yep.  I find 2 string kites to be horribly hard to spot.
 
 
 	  | Code: | 	 		  Simple stuff to here where a two string kite eliminates the 4 in r3c6.
 
.---------------------.---------------------.---------------------.
 
| 17     4      3     | 89     18     5     | 6      79     2     |
 
| 12     5      9     | 46     12346  7     | 134    8      13    |
 
| 6      27     8     | 49     1234  #12-4  | 1349  @479    5     |
 
:---------------------+---------------------+---------------------:
 
| 5      9      2     | 1      7     *48    |*34     6      38    |
 
| 478    678    46    | 2      5      3     | 149   @49     18    |
 
| 48     3      1     | 468    468    9     | 5      2      7     |
 
:---------------------+---------------------+---------------------:
 
| 248    268    46    | 5      12     126   | 7      3      9     |
 
| 9      1      7     | 3      48     468   | 2      5      46    |
 
| 3      26     5     | 7      9      246   | 8      1      46    |
 
'---------------------'---------------------'---------------------'
 
 
 
 
That sets up an xy wing that sets r1c5 to 8.  The rest is simple.
 
 
.---------------------.---------------------.---------------------.
 
|*17     4      3     | 89    #8-1    5     | 6      79     2     |
 
| 12     5      9     | 46     12346  7     | 134    8      13    |
 
| 6     *27     8     | 49     1234  *12    | 1349   479    5     |
 
:---------------------+---------------------+---------------------:
 
| 5      9      2     | 1      7      48    | 34     6      38    |
 
| 478    678    46    | 2      5      3     | 149    49     18    |
 
| 48     3      1     | 468    468    9     | 5      2      7     |
 
:---------------------+---------------------+---------------------:
 
| 248    268    46    | 5      12     126   | 7      3      9     |
 
| 9      1      7     | 3      48     468   | 2      5      46    |
 
| 3      26     5     | 7      9      246   | 8      1      46    |
 
'---------------------'---------------------'---------------------' | 	 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Fri Jun 27, 2008 4:41 am    Post subject:  | 
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				| W-Wing, Type 4 UR, W-Wing. The UR probably wasn't needed. | 
			 
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		wapati
 
 
  Joined: 10 Jun 2008 Posts: 472 Location: Brampton, Ontario, Canada.
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				 Posted: Fri Jun 27, 2008 4:54 am    Post subject:  | 
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				I so like it that different paths are often easy to find.
 
 
Sudoku would be stale if there was only one path and order.  
 
 
I confirm that the UR is not needed. | 
			 
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		storm_norm
 
 
  Joined: 18 Oct 2007 Posts: 1741
 
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				 Posted: Fri Jun 27, 2008 5:30 am    Post subject:  | 
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				 	  | Code: | 	 		  .---------------------.---------------------.---------------------.
 
|*17     4      3     | 89    *18     5     | 6      79     2     |
 
|#12     5      9     | 46    1-2346  7     | 134    8      13    |
 
| 6      27     8     | 49     1234   124   | 1349   479    5     |
 
:---------------------+---------------------+---------------------:
 
| 5      9      2     | 1      7      48    | 34     6      38    |
 
| 478    678    46    | 2      5      3     | 149    49     18    |
 
| 48     3      1     | 468    468    9     | 5      2      7     |
 
:---------------------+---------------------+---------------------:
 
| 248    268    46    | 5     #12     126   | 7      3      9     |
 
| 9      1      7     | 3      48     468   | 2      5      46    |
 
| 3      26     5     | 7      9      246   | 8      1      46    |
 
'---------------------'---------------------'---------------------' | 	  
 
 
w-wing {1,2}  through the ones in the first row, removes 2 in r2c5
 
 
(2=1)r2c1-(1)r1c1=(1)r5c1-(1=2)r7c5; r2c5<>2 | 
			 
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		nataraj
 
 
  Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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				 Posted: Fri Jun 27, 2008 5:55 am    Post subject:  | 
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				Something simple?
 
 
An xyz-wing very early on: 4,7,9 in row 3 + box 3, removes 9 from r3c7. From there, basic stuff for a while.
 
 
Near the end, either a UR (26 r79c26 with strong link 6 in r7) or an xy-wing pivot r3c2 (17-27-12) | 
			 
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		Johan
 
 
  Joined: 25 Jun 2007 Posts: 206 Location: Bornem  Belgium
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				 Posted: Fri Jun 27, 2008 8:59 am    Post subject:  | 
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				I used the strong link* on <2> in C1, which eliminates <1> in R1C5 collapsing the whole puzzle. Either R2C1=2 or R7C1=2.
 
 
R2C1=2 => R1C1=1(a)
 
 
R7C1=2 => R7C5=1(b)
 
 	  | Code: | 	 		  +-------------------------+-------------------------+-------------------------+
 
| 17 a      4         3   | 89      -[1]8      5    | 6         79        2   |
 
|*12        5         9   | 46        12346    7    | 134       8         13  |
 
| 6         27        8   | 49        1234     124  | 1349      479       5   |
 
+-------------------------+-------------------------+-------------------------+
 
| 5         9         2   | 1         7        48   | 34        6         38  |
 
| 478       678       46  | 2         5        3    | 149       49        18  |
 
| 48        3         1   | 468       468      9    | 5         2         7   |
 
+-------------------------+-------------------------+-------------------------+
 
|*248       268       46  | 5         12 b     126  | 7         3         9   |
 
| 9         1         7   | 3         48       468  | 2         5         46  |
 
| 3         26        5   | 7         9        246  | 8         1         46  |
 
+-------------------------+-------------------------+-------------------------+ | 	 
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		cgordon
 
 
  Joined: 04 May 2007 Posts: 769 Location: ontario, canada
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				 Posted: Fri Jun 27, 2008 2:34 pm    Post subject:  | 
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				Remarkably easy really.  I simply used the following:
 
 
x-wing on <6>
 
xyz-wing on <134>
 
x-wing on <2> 
 
ER on <4>
 
xy-wing on <127>
 
 
A three coffee job at most.    | 
			 
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		Earl
 
 
  Joined: 30 May 2007 Posts: 677 Location: Victoria, KS
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				 Posted: Fri Jun 27, 2008 4:31 pm    Post subject: VH | 
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				An xyz-wing (479), then an xy-wing (127) (all in boxes 1-2-3) did it for me.
 
 
Earl | 
			 
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		Clement
 
 
  Joined: 24 Apr 2006 Posts: 1113 Location: Dar es Salaam Tanzania
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				 Posted: Sat Jun 28, 2008 5:25 pm    Post subject: Daily Sudoku: Fri 27-Jun-2008 VH | 
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				| I used the BUG Principle.Candidate 9 is the only one that appears three times in c8.Therefore, 9 must go in r3c8 which is the only three candidate cell in the column. That solves the puzzle. | 
			 
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		nataraj
 
 
  Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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				 Posted: Sat Jun 28, 2008 6:02 pm    Post subject: Re: Daily Sudoku: Fri 27-Jun-2008 VH | 
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				 	  | Clement wrote: | 	 		  | I used the BUG Principle.Candidate 9 is the only one that appears three times in c8.Therefore, 9 must go in r3c8 which is the only three candidate cell in the column. That solves the puzzle. | 	  
 
 
"Careful with that axe, Eugene ..."
 
 
Clement, could you explain that a bit more? I do not have my grid available any more but I do remember that all essential steps in solving the puzzle occured at a time when I was still FAR AWAY from a "BUG" situation. The BUG+1 or BUG+n  reasoning only comes into play, when almost all cells in the puzzle are either solved or have only two candidates left. 
 
 
Looking at the posted grids here, I see a lot of three- four- and even five-candidate cells at the critical points. 
 
 
Maybe you run that grid with the BUG+1 by us and also how you got there? | 
			 
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