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by gkatsi 4775 days ago
It is NP-complete in the weak sense: the reduction from, say, CNF-SAT, introduces very large coefficients (in the order of 2^n). The pseudo-polynomial algorithm has complexity linear in the magnitude of the coefficients, not in the size of their binary representation (hence pseudo). If the coefficients are small, that algorithm is efficient. See: http://en.wikipedia.org/wiki/Pseudo-polynomial_time