Question: An Euler circuit in a directed graph is a cycle in which every edge is visited exactly once. a. Prove that a directed graph has

An Euler circuit in a directed graph is a cycle in which every edge is visited exactly once.
a. Prove that a directed graph has an Euler circuit if and only if it is strongly connected and every vertex has equal indegree and outdegree.
b. Give a linear-time algorithm to find an Euler circuit in a directed graph where one exists.

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