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1. Prove, disprove (give a counterexample, highlight the incorrectness or give the correct answer) or complete a proof. (n) Consider the same background of previous problem, the subgraphs G, and Gy have no edges in common. Def: val (f) = Lecout(s) f(e)-Eeeln(s) f(e) Conservation of flow: Lepout(v)f(e) - Eeeln(v) f(e)=0, Lemma: Letbe an s-t cut of network N, then Uyev, Out(v) = U and Uvev, In(v) = U