Question: Let x 1 < x 2 < ... < x n be real numbers representing coordinates of n villages located along a straight road. A

Let x1 < x2 < ... < xn be real numbers representing coordinates of n villages located along a straight road. A post office needs to be built in one of these villages.

a. Design an efficient algorithm to find the post-office location minimizing the average distance between the villages and the post office.

b. Design an efficient algorithm to find the post-office location minimizing the maximum distance from a village to the post office.

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