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1. Let be a weighted directed graph with n vertices. Design a variation of FloydWarshall’s…

1. Let be a weighted directed graph with n vertices. Design a variation of FloydWarshall’s…

1. Let   be a weighted directed graph with n vertices. Design a variation of FloydWarshall’s algorithm for computing the lengths of the shortest paths from each vertex to every other vertex in O(n3) time.2. Design an efficient algorithm for finding a longest directed path from a vertex s to a vertex t of an acyclic weighted directed graph . Specify the graph representation used and any auxiliary data structures used. Also, analyze the time complexity of your algorithm.