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Given a directed graph, write a function to determine if it contains a cycle. What is the time complexity
of your solution?

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Give a linear time algorithm via pseudo code that takes as input a directed acyclic graph G (V, E) and two vertices u and v, that returns the number of simple paths from u to v in G. Your algorithm needs only to count the simple paths, not list them. Explain why your code runs in linear time.
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