Question: Design a linear-time algorithm which, given an undirected graph G and a particular edge e in it, determines whether G has a cycle containing e.

Design a linear-time algorithm which, given an undirected graph G and a particular edge e in it, determines whether G has a cycle containing e. Your algorithm should also return the length (number of edges) of the shortest cycle containing e, if one exists. Just give the algorithm, no proofs are necessary. Hint: you can use BFS to solve this.

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