2. [30 %] Trace the execution of Prim's algorithm to find the Minimum Spanning Tree (MST) for the graph. Show the content of ( S ) (the set of vertices in the spanning tree) and ( mathrm{V}-S ) (the remaining vertices), distance, predecessor of the vertices. Draw the MST of the graph at the end.

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2. [30 %] Trace the execution of Prim's algorithm to find the Minimum Spanning Tree (MST) for the graph. Show the content of  ( S  ) (the set of vertices in the spanning tree) and  (  mathrm{V}-S  ) (the remaining vertices), distance, predecessor of the vertices. Draw the MST of the graph at the end.

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