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		| Bud 
 
 
 Joined: 06 May 2010
 Posts: 47
 Location: Tampa, Florida
 
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				|  Posted: Fri Apr 22, 2011 1:12 pm    Post subject: Almost Hidden XY-Ring (loop) Example |   |  
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				| 000000200500800610100004000001690003007083900200047006005300008012008007006000000 
 After making basic moves the puzzle is as shown in the diagram below.  The 4 cells in the almost hidden XY-Ring iare denoted by *.  Note that a 2 conjugate is in column 2 of this pattern, a 7 conjugate is in row 2, a 6 conjugate is in row 3, and an almost 3 conjugate is in column 5.  If this xy-ring is true, all other digits can be eliminated from these 4 cells.  Note that this will occur if cell B<>3.
 Next note the 23579 ALS with cells labeled A in box 2.  This becomes a locked set 2579 if cell B=3.  in either case r3c5<>257.
 Also if B=3: (3)r1c5-r1c8=(3)r3c78, which implies that r3c2<>3.
 
 Note that these eliminations are valid whether the xy-Ring is true or false.
 
 
  	  | Code: |  	  | +----------------------+-----------------------+------------------+
 | 3679   3679     3489 | 579A   13567B    1569 | 2     378    459 |
 | 5      2739*    349  | 8      237*A     29A  | 6     1      49  |
 | 1      2-3679*  389  | 2579A  -23-56-7* 4    | 378   378    59  |
 +----------------------+-----------------------+------------------+
 | 48     458      1    | 6      9         25   | 457   2457   3   |
 | 46     456      7    | 125    8         3    | 9     245    12  |
 | 2      39       39   | 15     4         7    | 158   58     6   |
 +----------------------+-----------------------+------------------+
 | 479    479      5    | 3      1267      1269 | 14    2469   8   |
 | 349    1        2    | 459    56        8    | 345   34569  7   |
 | 34789  34789    6    | 24579  1257      1259 | 1345  23459  12  |
 +----------------------+-----------------------+------------------+
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