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A Unique UR?

 
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keith



Joined: 19 Sep 2005
Posts: 3136
Location: near Detroit, Michigan, USA

PostPosted: Fri May 12, 2006 10:53 pm    Post subject: A Unique UR? Reply with quote

I posted a message in the Solver's Forum, but I think I will probably get more insight from the manual solvers in this forum. So, here goes:

Solve the following puzzle using Unique Rectangles when you find them:

Code:

. . .|. . 1|. . 8
. 8 2|. . .|. . .
. . .|9 3 .|. . .
-----------------
. . .|8 9 7|. . .
. . .|1 . .|. 3 .
. . 5|. . .|2 . .
-----------------
3 . .|6 . .|. 1 .
9 . .|2 . .|. . 4
6 . 7|3 . .|. . .


And, then please run it through your software. My contention is that this has a fairly simple UR reduction that most people (especially Keith) and software will not recognize.

If you want more background, look at:

http://www.sudoku.com/forums/viewtopic.php?t=4088

Best wishes,

Keith
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Steve R



Joined: 24 Oct 2005
Posts: 289
Location: Birmingham, England

PostPosted: Sat May 13, 2006 12:39 am    Post subject: Unique UR? Reply with quote

Keith

The idea is certainly new to me. Congratulations!

I expect you have noticed that a corresponding, though not identical, elimination can be made in the diagonal case. I reckon 2UR/NSL/BV/d.

Steve
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