Question: Consider the directedHamilton Pathproblem (DHP) described on page 480. a)Show that DHPps, tHamilton Path wheres, tHamilton Path takes as input a directed graph G=(V,E) and

Consider the directedHamilton Pathproblem (DHP) described on page 480.

a)Show that DHPps, tHamilton Path

wheres, tHamilton Path takes as input a directed graph G=(V,E) and two designated vertices in V, and returns yes when there is a Hamilton path starting atsand ending att.

b)Consider the problem of finding a shortestsimplepath in a directed graph (with negative cycles) fromstot(thus you are given a directed graph G, edge weights, possibly negative, and two designated vertices). Show that this problem is NP-hard (hint: Use your result of part a)).

Would you please help me with this problem?

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