Question: Algorithms and Data Structures 5. (10 pts) Give a lincar-time algorithm that takes as input a directed acyclic graph G (V, E) and two vertices

Algorithms and Data Structures

5. (10 pts) Give a lincar-time algorithm that takes as input a directed acyclic graph G (V, E) and two vertices s and t, and returns the number of simple paths from s to t in G. For example, the directed acyclic graph as given in Q4 contains exactly four simple paths from vertex p to vertex v, pov, poryv, posryv, and psryv. (Your algorithm needs only to count the simple paths, not list them.)

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