Question: Given a 3-CNF formula with n variables and m clauses, where m is even. We wish to determine whether there exists a truth assignment to

Given a 3-CNF formula with n variables and m clauses, where m is even. We wish to determine whether there exists a truth assignment to the variables of such that exactly half the clauses evaluate to 0 and exactly half the clauses evaluate to 1. Prove that this problem is NP-complete.

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