Problem 3: A day at the beach. A group of n people are lying on the beach. The beach isrepresented by the real line R and the location of the i-th person is some integer r; e Z. Yourtask is to prevent people from getting sunburned by covering them with umbrellas. Each umbrellacorresponds to a closed interval I = [a, a + L] of length L e N, and the i-th person is coveredby that umbrella if æ¡ € I. Design a greedy algorithm for covering all people with the minimumnumber of umbrellas. The input consists of the integers x1,..., En, and L. The output of youralgorithm should be the positions of umbrellas.For example, if the input is r1 = 1, x2 = 3, r3 = 5, and L = 2, then an optimum solution is theset of two umbrellas placed at positions 2 and 5, covering intervals [1,3] and [4,6].1 2 3 4 5 6Prove that your algorithm is correct and that it runs in time polynomial in n.

To do: Write algorithm for the given

Answered: For example, if the input is r1 = 1, x2…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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For example, if the input is r1 = 1, x2 = 3, x3 = 5, and L = 2, then an optimum solution is the et of two umbrellas placed at positions 2 and 5, covering intervals [1,3] and [4,6].