Question: Given an integer m times n matrix A and an integer m - vector b , the 0 - 1 integer - programming problem

Given an integer m \times n matrix A and an integer m-vector b, the 0-1 integer-programming problem asks whether there exists an integer n vector x with elements in the set {0,1} such that A x <= b. Prove that 0-1 integer programming is NP-complete. (Hint: Reduce from 3CNF-SAT.)

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