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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Sat Jan 29, 2011 7:47 pm    Post subject: Puzzle 11/01/29 | 
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				I hope You like Basics along with your advanced steps!
 
 
BTW: I (manually) found an unusual (for me) UR in place of my solver's last step.
 
 
 	  | Code: | 	 		   +-----------------------+
 
 | 3 . . | 4 . . | 9 7 6 |
 
 | . . . | . . 9 | . 1 3 |
 
 | . . 2 | . . . | . 8 . |
 
 |-------+-------+-------|
 
 | 4 . . | 2 . 6 | . 9 . |
 
 | . . . | . 8 . | . . . |
 
 | . 2 . | 9 . . | . . 1 |
 
 |-------+-------+-------|
 
 | 7 . . | . . . | 8 . . |
 
 | 2 4 9 | 6 . . | . 5 7 |
 
 | 8 3 . | . . 7 | . 4 . |
 
 +-----------------------+
 
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Play this puzzle online at the Daily Sudoku site | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Sun Jan 30, 2011 12:10 am    Post subject:  | 
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				 	  | Quote: | 	 		  Type 1 UR (29)
 
X-Wing (3)
 
Type 1 UR (45)
 
XY-Wing (671) + transport | 	 
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		peterj
 
 
  Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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				 Posted: Sun Jan 30, 2011 11:13 am    Post subject:  | 
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				After "fun" basics and steered by Danny's comments...
 
 	  | Code: | 	 		   *---------------------------------------------------------------------*
 
 | 3      8      15     | 4      125    125    | 9       7      6      |
 
 | 56     67     4      | 8      567    9      | 2       1      3      |
 
 | 19     679    2      | 137    1367   13     |*45      8     *45     |
 
 |----------------------+----------------------+-----------------------|
 
 | 4      (15)  *37     | 2      357-1  6      |*37+5    9      8      |
 
 | 19     69    *37     | 137    8      1345   |*3457+6  2     *45     |
 
 | 56     2      8      | 9      3457   345    | 34567   36     1      |
 
 |----------------------+----------------------+-----------------------|
 
 | 7      15     156    | 135    249    24     | 8       36     29     |
 
 | 2      4      9      | 6      (1)3   8      | (1)3    5      7      |
 
 | 8      3      156    | 15     29     7      | (16)    4      29     |
 
 *---------------------------------------------------------------------* | 	  The two overlapping UR(37) and UR(45) form a MUG+2 which can be avoided by (5)r4c7, (6)r5c7 - they ko (1)r4c5 cracking the puzzle in one step!
 
 	  | Code: | 	 		  | (1=5)r4c2 - MUG(3457)[(5)r4c7=(6)r5c7] - (6=1)r9c7 - r8c7=r8c5 ; r4c5<>1 | 	 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Sun Jan 30, 2011 3:47 pm    Post subject:  | 
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				After basics: 	  | Code: | 	 		  +-------------------+-------------------+-------------------+
 
| 3     8     15    | 4     125   125   | 9     7     6     | 
 
| 56    67    4     | 8     567   9     | 2     1     3     | 
 
| 19    679   2     | 137   1367  13    | 45    8     45    | 
 
+-------------------+-------------------+-------------------+
 
| 4     15d   37    | 2    -1357  6     | 357   9     8     | 
 
| 19    69    37    | 137   8     1345  | 34567 2     45    | 
 
| 56c   2     8     | 9     3457  345   | 34567 36b   1     | 
 
+-------------------+-------------------+-------------------+
 
| 7     15    156   | 135   249   24    | 8     36    29    | 
 
| 2     4     9     | 6     13a   8     | 13    5     7     | 
 
| 8     3     156   | 15    29    7     | 16    4     29    | 
 
+-------------------+-------------------+-------------------+ | 	  a and b are a pseudocell 16, from coloring on 3.  cd complete the XY-wing, taking out 1 in R4C5.
 
 
Keith | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Sun Jan 30, 2011 4:48 pm    Post subject:  | 
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				| I don't understand the pseudo cell as part of an XY-Wing, but I can easily see an XY-Chain running between a and d. | 
			 
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		peterj
 
 
  Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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				 Posted: Sun Jan 30, 2011 5:04 pm    Post subject:  | 
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				I support the use of "pseudocell" in a pretty "broad" interpretation    
 
But here this is one strong link (1=6) created from either 3  SL (using the (3)SL in b9) or 4 SL (using the xy-chain fragment). Bit of a stretch       | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Sun Jan 30, 2011 5:52 pm    Post subject:  | 
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				I started with the pairs 13 in R8 and 36 in C8.  (Actually, I was looking for kites / skyscrapers.)
 
 
a and b are pincers on 3.  Because of the strong link 13 - 36 on 3 in B9, only one of ab is 3.  Either a is 1 or b is 6.
 
 
Fits my definition of a pseudocell.
 
 
Keith | 
			 
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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Sun Jan 30, 2011 7:36 pm    Post subject:  | 
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				Keith,
 
 
I must admit that I didn't pay much attention to "from coloring on 3" in your explanation. I now see that was a mistake! | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Sun Jan 30, 2011 7:51 pm    Post subject:  | 
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				 	  | Quote: | 	 		  | "from coloring on 3" | 	  
 
 
Well, I was being careful not to call it a kite or skyscraper.
 
 
If the pattern were a kite or skyscraper (no strong link on 3 in B9), then the pseudocell does not exist.  Even though a and b are still pincers on 3.  (There is a possibility that both a and b are 3.)
 
 
Keith | 
			 
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