Question: Show how to determine in time O(n + m) whether a directed graph G = (V, E) (with n = |V|, m = |E|) has

Show how to determine in time O(n + m) whether a directed graph G = (V, E) (with n = |V|, m = |E|) has an odd-length cycle. (The cycle can traverse an edge only in the forward direction.) (A solution to the case of undirected graphs will be worth 2 points.)
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