Question: Let D = (V;A;`) be a digraph with no negative circuit. Suppose that the shortest (s;v)-path distances p (v) for all v 2 V are

Let D = (V;A;`) be a digraph with no negative circuit. Suppose that the shortest (s;v)-path distances p (v) for all v 2 V are already known. Give an O (m + n)-time algorithm to construct the shortest-path tree rooted at s, and prove its correctness.

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