Question: Let G be a directed, weighted graph on n vertices and m edges. A particular vertex is marked as the source vertex s . Consider

Let G be a directed, weighted graph on n vertices and m edges. A particular vertex is marked as the source vertex s. Consider the problem of deciding if the graph contains a path of total weight at least k, starting from vertex s.
Show that this problem is NP-complete. You must use a reduction from one of: TSP, Hamiltonian Path, Subset Sum, Clique.

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