Question: The directed version of the BFS algorithm classifies nontree edges as being either back edges or cross edges, but it does not distinguish between these

The directed version of the BFS algorithm classifies nontree edges as being either back edges or cross edges, but it does not distinguish between these two types. Given a BFS spanning tree, T, for a directed graph, G , and a set of nontree edges, E , describe an algorithm that can correctly label each edge in E as being either a back edge or cross edge. Your algorithm should run in O(n + m) time, where n is the number of vertices and m is the number of edges.

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