Question: Let HALF-CLAUSES = { | F is a 3cnf-formula where some assignment satisfies at least half of the clauses} Prove that HALF-CLAUSES is in P

Let HALF-CLAUSES = { | F is a 3cnf-formula where some assignment satisfies at least half of the clauses}

Prove that HALF-CLAUSES is in P by sketching a polynomial time algorithm that solves it. Briefly justify that your algorithm runs in polynomial.

Hint: For each variable make a greedy choice for whether to make it true or false.

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