Question: 2. (5 points) Prove that the following problem is NP-complete. . Input: A CNF 4. . Question: Does 4 have a truth assignment that assigns

2. (5 points) Prove that the following problem is NP-complete. . Input: A CNF 4. . Question: Does 4 have a truth assignment that assigns True to exactly half the terms in each clause? (For example m1 = T, 12 = F, 13 = F, 4 = F assigns True to half the terms in each clause of ? = (11 V 12 V 13 VIA)A (I VI2).)

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