XY-Chain and Coloring in the same method ?

Advanced methods and approaches for solving Sudoku puzzles

XY-Chain and Coloring in the same method ?

Postby MotsCroises » Tue Dec 13, 2005 9:27 pm

Hi,

In order to explain some Sudoku with a XY-Chain with more than 3 candidates in some cells, I tried with another member of a Sudoku French forum to find a special case.

I found what looks like a XY-Chain, with a special case in the beginning (or in the end),

Then going deeper into the problem, I found a general explanation for this case.

You can look on my website (in French), for pictures ;-):
http://www.mots-croises.ch/Manuels/Sudoku/XY-Color.htm

Or here, in English Google translation.

You can also have a look at the diagram (example):
Image

I begin with a XY-Chain: (XY-Wing with more than 3 cells).

And in the chain, I switch from XY-Chain to Coloring (even number of cells).

And at the end, I continue with XY-Chain for the last cells (one cell or more).

My question is: according to you, is this a new solution method ? If not, what is the method's name?

Thanks in advance

Henri
MotsCroises
 
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Postby Bob Hanson » Wed Dec 14, 2005 5:30 am

I've been calling this "3D Medusa" but I think it is also called "advanced coloring" See

http://www.stolaf.edu/people/hansonr/sudoku
http://www.stolaf.edu/people/hansonr/sudoku/explain.htm
http://www.stolaf.edu/people/hansonr/sudoku/top95-methods.htm

Nice diagram, by the way!
Bob Hanson
 
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Joined: 04 December 2005

Postby tso » Fri Dec 16, 2005 10:39 pm

Sudoku Susser calls this "Comprehensive forcing chains". Pencil and paper solvers might just call it "forcing chains".
tso
 
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Joined: 22 June 2005


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