Something possibly new?

Advanced methods and approaches for solving Sudoku puzzles

Something possibly new?

Postby Phartinoogan » Fri Jan 27, 2006 5:00 am

I came across this nice little pattern today after a little experimentation:

Code: Select all
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--------+--------+------
 . . .  | .  . . | . . .
 . . 47 | 45 . . | . . .
 . . 57 | 45 . . | . . .
--------+--------+------
 . . .  | .  . . | . . .
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Basically, the 45 pair up there cant be r5c4 = 4, r6c4 = 5 due to the fact that there would end up being two 7's left in c3.

This is relatively simple considering the level of solving used here, but I've never seen this particular technique addressed directly before. If it doesn't exist (as far as you guys know, anyway:) ) I would love to give it a name.
Phartinoogan
 
Posts: 1
Joined: 26 January 2006

Postby Myth Jellies » Fri Jan 27, 2006 5:38 am

This is commonly referred to as an xy-wing. It is also a simple example of the Almost Locked Sets xz-rule
Myth Jellies
 
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Joined: 19 September 2005

Re: Something possibly new?

Postby tso » Fri Jan 27, 2006 6:39 pm

As Myth says, it's an xy-wing, the shortest possible example of forcing chains. The fact that there is a [45] pair is a red herring. All values of r6c3, r6c4 or r5c3 imply that r5c4<>4. Any other candidates in r5c4 are irrelevant.

Code: Select all
 . . .  | .  . . | . . .
 . . .  | .  . . | . . .
 . . .  | .  . . | . . .
--------+--------+------
 . . .  | .  . . | . . .
 . . 47 | x  . . | . . .
 . . 57 | 45 . . | . . .
--------+--------+------
 . . .  | .  . . | . . .
 . . .  | .  . . | . . .
 . . .  | .  . . | . . .
tso
 
Posts: 798
Joined: 22 June 2005


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