Let G = (V, E) be a graph and c: E → R be an edge cost function. We call an edge e EE (1) necessary e is contained in every minimum spanning tree; (2) useless if no minimum spanning tree contains e; (3) optiona else. How many edges in the graph below are necessary? 5 2 2 2 3 2 3 2 2 5 2 3

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