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Let G = (V, E) be a flow network with source s and sink t. We say that an edge e is a bottleneck in

Let G = (V, E) be a flow network with source s and sink t. We say that an edge e is a bottleneck in G if it belongs to every minimum capacity cut separating s from t. Give a polynomial-time algorithm to determine if a given edge e is a bottleneck in G.

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