Boolean system ( for C++/ C#/java)

How can I programatically resolve this type of system :

A = !B
B = !C
D = !B
E = !A
E = !B

so I can get by substituting A = C = D (3) and E = B (2). I only need the number of the 2开发者_StackOverflow groups. If it's not possible to get 2 groups, I display an error message.

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In case, this is not closed as a dupe, from my answer in your previous question:

To solve equations of the form

X₁ = NOT X ₃

X₅ = NOT X ₂

etc

Form a graph with nodes as X_i and connecting X_i and X _j iff the equation X_i = NOT X _j appears.

Now try to 2-colour the graph using Breadth First Search.

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Consider a string of bits ABCDE. For each subset of this string, set all the variables in that subset to true and all the variables not in the subset to false. See which subset matches your conditions.

You can implement this by counting in binary from 0 to 2^(num variables) - 1. For each number, its binary representation gives you which variables are true and which are false. So you just need to get all the bits of a number and do your checks.