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4. Consider the following two problems: BIN PACKING: Given n items with positive integer sizes s1,82,..., Sn, a capacity C for bins and a positive
4. Consider the following two problems: BIN PACKING: Given n items with positive integer sizes s1,82,..., Sn, a capacity C for bins and a positive integer k, is it possible to pack the n items using at most k bins? PARTITION: Given a set S of n integers, is it possible to partition S into two subsets S1 and S2 so that the sum of the integers in Si is equal to the sum of the integers in Show that PARTITION polynomial-time reduces to BIN PACKING
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