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Show that Subset Sum reduces to Walking Tourist in Polynomial time. Consider the following two decision problems. Problem: Subset Sum Input Instance: Set of of

Show that Subset Sum reduces to Walking Tourist in Polynomial time.

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Consider the following two decision problems. Problem: Subset Sum Input Instance: Set of of non-negative numbers S and an integer k lessthan0. Decision: Is there a subset S' of S such that sum of numbers in Sprime equals k. Problem: Walking Tourist Input Instance: A weighted graph G (with non-zero, non-negative weights on edges), a special vertex s and an integer L. Decision: Is there a tour that starts at s and ends at s such that the total length of the tour equals L and no vertex (other than s) is visited multiple times? The tour may visit vertex s multiple times. Show that Subset Sum reduces to Walking Tourist in Polynomial time

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