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Often there are multiple shortest paths between two nodes of a graph. Give a linear-time algorithm for the following task. Input: Undirected graph G (V,

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Often there are multiple shortest paths between two nodes of a graph. Give a linear-time algorithm for the following task. Input: Undirected graph G (V, E) with unit edge lengths; nodes u,vEV. Output: The number of distinct shortest paths from u to v (13 points for algorithm description, 6 points proof of correctness 6 points time analysis, space analysis and efficiency.)

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