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1. Run Dijkstra’s algorithm on the following directed graph and show the result of each step.
(1) (35 points.) First, using vertex a as the source, show the shortest paths from the source vertex to every other vertex.
(2) (35 points.) Then, using vertex e as the source, show the shortest paths from the source vertex to every other vertex.
2. (30 points) Find a Minimum Spanning Tree for the following graph.
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