http://qs1969.pair.com?node_id=600426

in reply to decomposing binary matrices

Can you be more specific? I don't understand what is the goal and where is the issue... For instance, your two (split?) tables do not contain 1 for B4... For me it is possible to represent that structure as
```\$possible_values = {A=>[2,4],B=>[3,4,5],...,E=>[2,4]};
but it could mean nothing for your problem.

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Re^2: decomposing binary matrices
by Limbic~Region (Chancellor) on Feb 16, 2007 at 13:58 UTC
pajout,
B can't be 4. A or E must be 4. Which ever one is 4, the other must be 2 but B can never be 4.

If I have understood the problem correctly, any time N variables can only be the same N values, they can be extracted from the matrix. This process is repeated until you are left with a "left over" matrix. Presumably this reduces the amount of brute force necessary to find values.

This also sounds like a job best solved by Prolog or some other logic programming language as we are trying to searching to satisfy constraints.

Cheers - L~R

Thanks, I have not seen the 'each property have a distinct value' constraint... :>)