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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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