Compute a minimum spanning tree of the edge-weighted graph defined by the cities and edges in miles.dat. This graph consists of 128 vertices, each vertex corresponding to a city, and edges connecting all pairs of vertices. The weights of these edges are the mileage distances between pairs of cities given in miles.dat. Use Prim's algorithm (as described in Project 2) to compute the minimum spanning tree.

Submit a program called MST.java containing your solution. The program should start by reading from miles.dat; feel free to use code from City.java to do this. The output should consist of all the edges in the computed miniumum spanning tree.