Question
Consider the following two decision problems. Problem : Subset Sum Input Instance: Set of of non-negative numbers S and an integer k > 0. Decision
Consider the following two decision problems.
Problem: Subset Sum Input Instance: Set of of non-negative numbers S and an integer k > 0.
Decision: Is there a subset S 0 of S such that sum of numbers in S 0 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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