Question: In all the algorithms, always explain their correctness and analyze their complexity. The complexity should be as small as possible. A correct algorithm with large

In all the algorithms, always explain their correctness and analyze their complexity. The complexity should be as small as possible. A correct algorithm with large complexity, may not get full credit.

1) a. Show that the Subset Sum problem is a special case of the Knapsack problem (Hint: One way is to make the profit and volumes the same)

b. Say that we know that the maximum number in the subset-sum is n ^(log n). Under this assumption, can we give a polynomial-time algorithm for the problem?

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