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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Sat Jun 12, 2010 8:47 pm    Post subject: Puzzle 10/06/12: (B) Advanced (corrected) | 
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				 	  | Code: | 	 		   +-----------------------+
 
 | 7 3 . | . 1 . | . . . |
 
 | 1 . . | 4 8 . | . 3 . |
 
 | . . . | 3 . 7 | . . . |
 
 |-------+-------+-------|
 
 | . 9 6 | . 7 . | 2 . . |
 
 | 8 7 . | 2 . 4 | . . . |
 
 | . . 2 | . 3 9 | . 7 4 |
 
 |-------+-------+-------|
 
 | . . . | 7 . . | 5 . . |
 
 | . 5 . | . . 3 | . 8 . |
 
 | . . . | . . 8 | . . 6 |
 
 +-----------------------+
 
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Play this puzzle online at the Daily Sudoku site
 
 
 	  | Code: | 	 		   after basics
 
 +--------------------------------------------------------------+
 
 |  7     3     458   |  9     1     256   |  46    246   258   |
 
 |  1     26    59    |  4     8     256   |  679   3     2579  |
 
 |  29    246   58    |  3     26    7     |  1     2469  58    |
 
 |--------------------+--------------------+--------------------|
 
 |  4     9     6     |  8     7     1     |  2     5     3     |
 
 |  8     7     3     |  2     5     4     |  69    69    1     |
 
 |  5     1     2     |  6     3     9     |  8     7     4     |
 
 |--------------------+--------------------+--------------------|
 
 |  3     8     1     |  7     2469  26    |  5     249   29    |
 
 |  6     5     49    |  1     249   3     |  479   8     279   |
 
 |  29    24    7     |  5     49    8     |  3     1     6     |
 
 +--------------------------------------------------------------+
 
 # 46 eliminations remain
 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Sun Jun 13, 2010 4:09 am    Post subject:  | 
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				I really enjoyed this puzzle....
 
 
1. AUR58 r13c39 with x-wing 8 overlay; r1c39<>5
 
2. x-wing 4 r18c37; r1c8,r8c5<>4
 
 
3. At this point I once again have a step of questionable validity: a Almost XY-loop (AXY-loop)
 
 	  | Code: | 	 		  *--------------------------------------------------*
 
 | 7    3   d48   | 9    1    5    | 46   26   28   |
 
 | 1    6   b59   | 4    8    2    |a79   3    579  |
 
 | 29   24  c58   | 3    6    7    | 1    49   58   |
 
 |----------------+----------------+----------------|
 
 | 4    9    6    | 8    7    1    | 2    5    3    |
 
 | 8    7    3    | 2    5    4    | 69   69   1    |
 
 | 5    1    2    | 6    3    9    | 8    7    4    |
 
 |----------------+----------------+----------------|
 
 | 3    8    1    | 7    249  6    | 5    249  29   |
 
 | 6    5   e49   | 1    29   3    |f479  8    279  |
 
 | 29   24   7    | 5    49   8    | 3    1    6    |
 
 *--------------------------------------------------* | 	  
 
The AXY-loop is abcdef plus fin (4) in cell f
 
If the xy-loop is true then r2c9,r8c59<>9
 
If the fin is true, (4)r8c7 - (4=9)r8c3; r8c59<>9
 
 
4. If the above is valid, I finished the puzzle with a BUG+1 which forces r7c8=9
 
 
So, let the fun begin; the shooting gallery is open...........
 
 
Ted | 
			 
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		Luke451
 
 
  Joined: 20 Apr 2008 Posts: 310 Location: Southern Northern California
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				 Posted: Sun Jun 13, 2010 6:57 am    Post subject:  | 
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				From the peanut gallery:
 
Almost works, but so does short and naked.
 
 
(9=4)r3c8-(4=6)r1c7-(6=9)r5c7 =>r5c8<>9, singles.
 
 
Update: available after the AUR. | 
			 
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		peterj
 
 
  Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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				 Posted: Sun Jun 13, 2010 10:23 am    Post subject:  | 
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				I decided to stick to the technique guidance on this - so advanced moves only...
 
 
Four steps... [Edit] judging from Lukes post (1) and (3) werent needed!
 
 
 	  | Quote: | 	 		  x-wing(4) r18c37; r8c5<>4, r1c8<>4
 
type 4 UR(58) r13c39; r1c39<>5
 
kite(9) in b1 extended (9)r5c8=r5c7; r8c7<>9
 
xy-wing(469) r1c7; r2c7<>9, r5c8<>9 | 	 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Mon Jun 14, 2010 12:55 pm    Post subject:  | 
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				I sadly didn't but found a lot of fun with my first "double ALS" takeout. At least I think it is..could be an invalid move....
 
 
As usual, a picture is worth a thousand words:
 
 
ALS XZ with double elimination
 
 
 
 
 
X={2,4,5,8,9} Orange
 
Z={2,6} Green 
 
Restricted common can be 2 or 6
 
Common candidate eliminateds are 2 and 6 from r3c8
 
 
 
Then it is the <469> XY wing as already shown.
 
 
[Edit to correct typo]
  Last edited by Mogulmeister on Mon Jun 14, 2010 3:41 pm; edited 3 times in total | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Mon Jun 14, 2010 1:40 pm    Post subject:  | 
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				Very nice MM..........  
 
 
Ted | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Mon Jun 14, 2010 3:26 pm    Post subject:  | 
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				 	  | tlanglet wrote: | 	 		  I really enjoyed this puzzle....
 
 
1. AUR58 r13c39 with x-wing 8 overlay; r1c39<>5
 
2. x-wing 4 r18c37; r1c8,r8c5<>4
 
 
3. At this point I once again have a step of questionable validity: a Almost XY-loop (AXY-loop)
 
 	  | Code: | 	 		  *--------------------------------------------------*
 
 | 7    3   d48   | 9    1    5    | 46   26   28   |
 
 | 1    6   b59   | 4    8    2    |a79   3    579  |
 
 | 29   24  c58   | 3    6    7    | 1    49   58   |
 
 |----------------+----------------+----------------|
 
 | 4    9    6    | 8    7    1    | 2    5    3    |
 
 | 8    7    3    | 2    5    4    | 69   69   1    |
 
 | 5    1    2    | 6    3    9    | 8    7    4    |
 
 |----------------+----------------+----------------|
 
 | 3    8    1    | 7    249  6    | 5    249  29   |
 
 | 6    5   e49   | 1    29   3    |f479  8    279  |
 
 | 29   24   7    | 5    49   8    | 3    1    6    |
 
 *--------------------------------------------------* | 	  
 
The AXY-loop is abcdef plus fin (4) in cell f
 
If the xy-loop is true then r2c9,r8c59<>9
 
If the fin is true, (4)r8c7 - (4=9)r8c3; r8c59<>9
 
 
4. If the above is valid, I finished the puzzle with a BUG+1 which forces r7c8=9
 
 
So, let the fun begin; the shooting gallery is open...........
 
 
Ted | 	  
 
 
Looks fine to me. I like it. | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Mon Jun 14, 2010 3:35 pm    Post subject:  | 
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				 	  | Quote: | 	 		  X={2,4,5,8,9} Orange
 
Z={2,9} Green
 
Restricted common can be 2 or 6
 
Common candiadate eliminateds are 2 and 6 from r3c8  | 	  
 
I don't follow this.  should it be:
 
 
 
In any event, R2C2 = <26>.  In B1, the other <26> can only be in R3C12, making a pseudocell that forms a pair with R3C5.  Thus, R3C8 is not 26.
 
 
Does this have a name?  It seems fairly simple.
 
 
Keith | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Mon Jun 14, 2010 3:40 pm    Post subject:  | 
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				Thanks for picking up the typo Keith.  I will amend. As far as I know it is an ALS XZ elimination as set out if memory serves by Myth Jellies.
 
 
[Most of the ones I've used/seen hitherto have been single digit eliminations or multiple eliminations of a single digit - this one has two different digits.
  Last edited by Mogulmeister on Mon Jun 14, 2010 5:50 pm; edited 2 times in total | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Mon Jun 14, 2010 5:01 pm    Post subject:  | 
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				| I used the implications of the 58 AUR to solve a few cells. After that it became a Type 4 UR on 58 and an XY-Wing (469) finished it off. | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Mon Jun 14, 2010 5:47 pm    Post subject:  | 
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				 	  | Mogulmeister wrote: | 	 		  | Thanks for picking up the typo Keith.  I will amend. As far as I know it is an ALS XZ elimination as set out if memory serves by Myth Jellies. | 	  
 
 
Sadly the original post for this technique at http://www.sudoku.com/forums/viewtopic.php?p=16334 (put there I think in 2006) has been lost due to the well documented problems with that forum. | 
			 
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		ronk
 
 
  Joined: 07 May 2006 Posts: 398
 
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				 Posted: Mon Jun 14, 2010 6:13 pm    Post subject:  | 
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				 	  | Mogulmeister wrote: | 	 		   	  | Mogulmeister wrote: | 	 		  | Thanks for picking up the typo Keith.  I will amend. As far as I know it is an ALS XZ elimination as set out if memory serves by Myth Jellies. | 	  
 
 
Sadly the original post for this technique at http://www.sudoku.com/forums/viewtopic.php?p=16334 (put there I think in 2006) has been lost due to the well documented problems with that forum. | 	  
 
After restoration, the link is ... http://forum.enjoysudoku.com/viewtopic.php?p=16334#p16334
 
 
BTW it was Bob Hanson, not Myth Jellies, that posted the doubly-linked ALS-xz. bennys introduced us to the original singly-linked ALS-xz. | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Mon Jun 14, 2010 6:41 pm    Post subject:  | 
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				Excellent and thanks Ronk, I remember reading some time ago but couldn't locate it again. I do remember that Myth was also centrally involved in some way but.........
  Last edited by Mogulmeister on Mon Jun 14, 2010 7:10 pm; edited 1 time in total | 
			 
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