Design efficient algorithm to find the post-office location

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Assignment - Brute-Force Algorithm Worksheet

Question 1 - a. Design a brute-force algorithm for computing the value of a polynomial p(x)=anxn +an-1xn-1 +...+a1x +a0 at a given point x0 and determine its worst-case efficiency class.

b. If the algorithm you designed is in??(n2),design a linear algorithm for this problem.

c. Is it possible to design an algorithm with a better-than-linear efficiency for this problem?

Question 2 - 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.

Reference no: EM133246371

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