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Suppose you have four variables A , B , C , and D . Now B , C , and D take in values ranging

Suppose you have four variables A, B, C, and D. Now B,C, and D take in values ranging from 1 to 5. but A can only be assigned a value from 1 to 4. In addition, whatever values they are assigned, A # B, A C,B +C/2, B 1, D cannot be a multiple of B. Now you have to treat this problem as a constraint satisfaction problem and finalize a solution that satisfies the above-given scenario.
i. Generate the constraint graph for this CSP
ii. Formulate all the unary and binary constraints.
111. Solve the problem by employing backtracking along with forward checking. In addition, you have to use heuristics (Variable and value ordering) wherever required to select which variable to work with, and what value to assign it.
a.
Assume two variables X and Y. They can be assigned any value from 0 to 9. But, X has to be greater than Y. What would it mean for X to be arc-consistent with Y? And propose a solution such that X becomes arc-consistent with respect to Y.

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