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We apply DFS on the graph and keep track of two properties for each node in DFS tree produced :1. Its time(or order) of first being discovered in DFS.(say p1)2. The order of oldest ancestor it can reach.(say p2)Initially both are same for every node.
 circuit directed graph graph theory algorithm Robert Tarjan
Tarjan's Algorithm is an algorithm in graph theory for finding the strongly connected components of a graph. Although proposed earlier, it can be seen as an improved version of Kosaraju's algorithm, and is comparable in efficiency to the path-based strong component algorithm.
 circuit directed graph graph theory algorithm Robert Tarjan