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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Sat Jun 16, 2007 1:47 pm    Post subject: DB Saturday Puzzle:  June 16, 2007 | 
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				 	  | Code: | 	 		  Puzzle: DB061607  ******
 
+-------+-------+-------+
 
| . 6 . | . . 5 | 2 . . | 
 
| . 8 . | 4 . . | 7 . . | 
 
| . . . | . . . | . 1 8 | 
 
+-------+-------+-------+
 
| . . 1 | 6 7 . | . . . | 
 
| 9 7 . | . . . | . 5 2 | 
 
| . . . | . 5 4 | 1 . . | 
 
+-------+-------+-------+
 
| 7 4 . | . . . | . . . | 
 
| . . 8 | . . 3 | . 9 . | 
 
| . . 2 | 8 . . | . 3 . | 
 
+-------+-------+-------+ | 	 
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		TKiel
 
 
  Joined: 22 Feb 2006 Posts: 292 Location: Kalamazoo, MI
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				 Posted: Sat Jun 16, 2007 4:08 pm    Post subject:  | 
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				| Not one of his more challenging ones. | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Sat Jun 16, 2007 5:50 pm    Post subject:  | 
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				If Tracy finds it not challenging, that is a clue!
 
 
Welcome back!
 
 
Keith | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Sat Jun 16, 2007 9:08 pm    Post subject:  | 
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				Hey Tracy, nice to see your name again.       | 
			 
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		Ruud
 
 
  Joined: 18 Jan 2006 Posts: 31
 
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				 Posted: Sun Jun 17, 2007 12:14 pm    Post subject:  | 
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				Even though it does not really advance the puzzle (you still need the skyscraper to break it), I found a nice BUG-Lite type 3 in this puzzle:
 
 
 	  | Code: | 	 		  .---------------.----------------.---------------.
 
| 13   6    7   | 139  8     5   | 2    4    39  |
 
| 123  8    9   | 4   &123   12  | 7    6    5   |
 
| 4    23   5   | 237  69-23 2679| 39   1    8   |
 
:---------------+----------------+---------------:
 
| 23   5    1   | 6    7     29  | 39   8    4   |
 
| 9    7    4   | 13  &13    8   | 6    5    2   |
 
| 8    23   6   | 29   5     4   | 1    7    39  |
 
:---------------+----------------+---------------:
 
| 7    4    3   | 5    69-1  169 | 8    2    16  |
 
|#56   1    8   | 27  #246   3   |#45   9    67  |
 
|#56   9    2   | 8   #146   167 |#45   3    167 |
 
'---------------'----------------'---------------' | 	  
 
 
To avoid the deadly 56-46-45 pattern in rows 89, you need 1 or 2 in r89c5. These form a locked set with r25c5, eliminating {123} from the remainder of column 5.
 
 
This move makes the puzzle a lot more interesting    
 
 
Ruud | 
			 
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		Steve R
 
 
  Joined: 24 Oct 2005 Posts: 289 Location: Birmingham, England
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				 Posted: Sun Jun 17, 2007 2:57 pm    Post subject:  | 
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				Interesting point, Ruud, though, as you say, not immediately productive. This is the diagram position again:
 
 
 	  | Code: | 	 		  .---------------.----------------.---------------. 
 
| 13   6    7   | 139  8     5   | 2    4    3-9 | 
 
| 123  8    9   | 4    123   12  | 7    6    5   | 
 
| 4    23   5   | 237  2369  2679| 39*  1    8   | 
 
:---------------+----------------+---------------: 
 
| 23   5    1   | 6    7     29  | 3-9  8    4   | 
 
| 9    7    4   | 13   13    8   | 6    5    2   | 
 
| 8    23   6   | 29   5     4   | 1    7    39* | 
 
:---------------+----------------+---------------: 
 
| 7    4    3   | 5    169   169 | 8    2    16  | 
 
| 56   1    8   | 27   246   3   | 45   9    67  | 
 
| 56   9    2   | 8    146   167 | 45   3    167 | 
 
'---------------'----------------'---------------' | 	  
 
For the time being I seem to be on the lookout for W-Wings before anything else. Here the cells with candidates (39) in boxes 3 and 6 caught my eye. As it happens, two of them (in r3c7 and r6c9) are linked by the conjugates for 3 in the second column. 
 
 
So one of these two cells contains 9 and the eliminations from r4c7 and r1c9 solve the puzzle at once.
 
 
Steve | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Sun Jun 17, 2007 7:59 pm    Post subject:  | 
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				Basic methods get you to here:
 
 	  | Code: | 	 		  
 
+----------------+-----------------+----------------+
 
| 13   6    7    | 139@  8    5    | 2    4    39@  | 
 
| 123  8    9    | 4     123% 12   | 7    6    5    | 
 
| 4    23B  5    | 2379# 2369 2679$| 39   1    8    | 
 
+----------------+-----------------+----------------+
 
| 23   5    1    | 6     7    29A  | 39   8    4    | 
 
| 9    7    4    | 13    13   8    | 6    5    2    | 
 
| 8    23b  6    | 29@a  5    4    | 1    7    39@  | 
 
+----------------+-----------------+----------------+
 
| 7    4    3    | 5     169  169  | 8    2    16   | 
 
| 56   1    8    | 27    246  3    | 45   9    67   | 
 
| 56   9    2    | 8     146  167  | 45   3    167  | 
 
+----------------+-----------------+----------------+
 
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There is an X-wing on <9>, labelled @.  It takes out <9> from the cell marked #.
 
 
The fork (skyscraper, coloring, turbot fish) is composed of two strong links on <2>, marked aA and bB.  One of a or b must be false;  one of A or B must be true.  This takes out <2> from the cell marked $.  This reveals an X-wing on <2> in C16, which takes out <2> from %.
 
 
This solves the puzzle.
 
 
Keith | 
			 
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		Asellus
 
 
  Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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				 Posted: Tue Jun 19, 2007 9:39 pm    Post subject: Well-Skinned Cat | 
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				Alternately...
 
 
Finned X-Wing on <2> in R2 and R4 (fin is R2C5) eliminates the <2> in R3C6 ($).  Then, Swordfish in R3, R6 and R8 takes care of R2C5 (%). | 
			 
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		TKiel
 
 
  Joined: 22 Feb 2006 Posts: 292 Location: Kalamazoo, MI
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				 Posted: Wed Jun 20, 2007 12:56 am    Post subject:  | 
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				Alternately...
 
 
 	  | Code: | 	 		  
 
  
 
 *--------------------------------------------------------------------*
 
 | 13     6      79     | 1379   8      5      | 2      4      39     |
 
 | 123    8      59     | 4      1239   129    | 7      6      359    |
 
 | 4      23B    579    | 2379   2369   2679   | 359A   1      8      |
 
 |----------------------+----------------------+----------------------|
 
 | 23B    5      1      | 6      7      29     | 349a   8      349    |
 
 | 9      7      4      | 13     13     8      | 6      5      2      |
 
 | 8      23b    6      | 29     5      4      | 1      7      39     |
 
 |----------------------+----------------------+----------------------|
 
 | 7      4      3      | 159    169    169    | 8      2      156    |
 
 | 56     1      8      | 257    246    3      | 45     9      4567   |
 
 | 56     9      2      | 8      146    167    | 45     3      14567  |
 
 *--------------------------------------------------------------------*
 
 | 	  
 
 
  Coloring two chains on <3> shows both ends of the A-a chain sharing a row with a B from the other chain, which must be false. | 
			 
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		Ruud
 
 
  Joined: 18 Jan 2006 Posts: 31
 
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				 Posted: Wed Jun 20, 2007 2:12 am    Post subject:  | 
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				Alternately...
 
 
 	  | Code: | 	 		  .---------------.---------------.---------------.
 
|-13   6    7   | 139  8    5   | 2    4   *39  |
 
| 123  8    9   | 4    123  12  | 7    6    5   |
 
| 4   *23   5   | 237  2369 2679|-39   1    8   |
 
:---------------+---------------+---------------:
 
| 23   5    1   | 6    7    29  | 39   8    4   |
 
| 9    7    4   | 13   13   8   | 6    5    2   |
 
| 8   *23   6   | 29   5    4   | 1    7   *39  |
 
:---------------+---------------+---------------:
 
| 7    4    3   | 5    169  169 | 8    2    16  |
 
| 56   1    8   | 27   246  3   | 45   9    67  |
 
| 56   9    2   | 8    146  167 | 45   3    167 |
 
'---------------'---------------'---------------' | 	  
 
XY-chain: r3c2 - r6c2 - r6c9 - c1c9 eliminates 3 from r1c1 & r3c7.
 
 
Alternately...
 
 
ER on digit 2 in row 4 and box 1 eliminates 2 from r3c6, followed by an X-wing in r2 & r4 and a naked pair {13} in column 5. A longer road, but more things to see and do    
 
 
Ruud | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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				 Posted: Wed Jun 20, 2007 8:01 am    Post subject:  | 
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				| ......and of course in Ruud's lovely example you will see that the XY chain is also a skyscraper on 3's. | 
			 
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		Asellus
 
 
  Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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				 Posted: Wed Jun 20, 2007 9:10 am    Post subject: Scenic Route | 
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				| An ER:  Cool! | 
			 
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		Mogulmeister
 
 
  Joined: 03 May 2007 Posts: 1151
 
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