We are given a directed graph G = (V, E), with two special vertices s and t, and non-negative integral capacities c(e) on edges e E.

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c. A collection P of paths connecting s to t, together with values f'(P) > 0 for each PEP is called a valid flow-paths solution, iff for every edge e E, Epep: f'(P) Scle). The value of the flow-paths solution is val(P, f') = Pep f'(P). Assume that we are given a valid acyclic s-t flow f: E + z in G, such that f is integral. Show an efficient algorithm that finds a valid flow-paths solution (P, f'), with |P| 0 for each PEP is called a valid flow-paths solution, iff for every edge e E, Epep: f'(P) Scle). The value of the flow-paths solution is val(P, f') = Pep f'(P). Assume that we are given a valid acyclic s-t flow f: E + z in G, such that f is integral. Show an efficient algorithm that finds a valid flow-paths solution (P, f'), with |P|