Suppose you are in Canada's Thousand Islands National Park, and in one particular lake there are n smallislands that park officials want to connect with floating bridges so that people can experience going betweenislands without a canoe. The cost of constructing a bridge is proportional to its length. Assume the distancebetween every pair of islands is given to you as a two dimensional matrix (an example of such a table forn = 8 islands is shown below).A BCᎠE F G HA240210 340 280200345 120B240265175215180185 155C210265-260115350435 195Ꭰ340175260160 330295 230E280215115160360400 170F200180350330 360175 205G345 185 435 295400175305H 120 155 195 230 170 205 305Design an algorithm for determining which bridges they should build to connect the islands at minimalcost. Write down the pseudocode and explain why your algorithm correctly computes the set of bridges ofminimal cost.Analyze the runnning time of your algorithm.

To solve this problem, we can use Prim's algorithm, which is a greedy algorithm used to find a…

Answered: Suppose you are in Canada's Thousand…

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