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Consider a digraph G=(V,E) with at least two nodes. Prove that the following statements are...

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Consider a digraph G=(V,E) with at least two nodes. Prove that the following statements are equivalent: (i) G has a globally reachable node, and (ii) for every pair S1,S2 of non-empty disjoint subsets of V, there exists a node that is an out-neighbor of S1 or S2 Hint: Use induction on the number of nodes in V. Please use clear and readable handwriting

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