More uniqueness fun

Advanced methods and approaches for solving Sudoku puzzles

More uniqueness fun

Postby vidarino » Mon Feb 20, 2006 11:33 pm

I spotted this interesting constellation today, which I felt like sharing:

Code: Select all
      7      1    469  |    489    236  23469- |   3489    239      5
      2     49      8  |    459     35      1  |    349      7      6
    469B     3      5  |    489      7   2469B |      1     29     28
-----------------------+-----------------------+-----------------------
   3469-  2469      7  |     45     25      8  |     39   2369      1
      1     28     23  |      6      9      7  |     38      5      4
      5  24689   2469  |      3      1     24  |      7    269     28
-----------------------+-----------------------+-----------------------
    369A   679    369  |      1      4      5  |      2      8     39A
     39A     5      1  |      2      8     39A |      6      4      7
      8   2469  23469  |      7     36    369A |      5      1     39A

A = Almost Unique Swordfish + 6 in R7C1 or R9C6
B = Locked pair of 6 in R3C1 and R3C6
-> Eliminate 6 from rest of C1 and C6


The Almost-swordfish in 39s in rows 7-9 have a pair of extra 6s - one of which must be true to avoid a BUG-Lite. The 6s happen to line up with a conjugate pair in another row, meaning we have some kind of Uniqueness X-Wing hybrid, allowing a few eliminations.

Nothing revolutionary, I know, but I thought it was neat.:)

Vidar

(Oh, and yes, I know the puzzle in its current state has a lot of simple steps, including several singles. I had to undo and redo some things to find it again.)
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Re: More uniqueness fun

Postby ronk » Tue Feb 21, 2006 12:52 am

vidarino wrote:A = Almost Unique Swordfish + 6 in R7C1 or R9C6
B = Locked pair of 6 in R3C1 and R3C6
-> Eliminate 6 from rest of C1 and C6

The Almost-swordfish in 39s in rows 7-9 have a pair of extra 6s - one of which must be true to avoid a BUG-Lite. The 6s happen to line up with a conjugate pair in another row, meaning we have some kind of Uniqueness X-Wing hybrid, allowing a few eliminations.

Thanks for sharing. However, I'm quite sure the 6s in the row9/box7 intersection (and the row7/box8 intersection, were there any) may also be eliminated ... somewhat similar to the ALS xz-rule.

Ron
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Re: More uniqueness fun

Postby vidarino » Tue Feb 21, 2006 12:55 am

ronk wrote:However, I'm quite sure the 6s in the row9/box7 intersection (and the row7/box8 intersection, were there any) may also be eliminated ... remindful of an ALS xz-rule, of sorts.


Very true, those are seen by both of the 6s. Also, there's a hidden pair of 24s there, which would eliminate them anyhow.:)
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