I need both java code and an explanation that includes the following:-A basic description/explanation of the algorithm-A reasoning for the time complexity of the algorithmGiven is a sequence a1, a2, . . . , an of numbers. We say that its subsequence aj1 , aj2 , . . . , ajk , where 1 ≤ j1 < j2 < . . . < jk ≤ n, is kind-of-increasing, if for every three consecutive elements in this subsequence, the average of the first two elements is smaller than the third element. Formally, (aji+aji+1)/2 < aji+2 holds for every i ∈ {1, 2, . . . , k−2}. Design an O(n3) algorithm that finds the length of a longest kind-of-increasing subsequence of a1, . . . , an.

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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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I need both java code and an explanation that includes the following:

-A basic description/explanation of the algorithm

-A reasoning for the time complexity of the algorithm

Given is a sequence a₁, a₂, . . . , a_n of numbers. We say that its subsequence a_j1 , a_j2 , . . . , a_jk , where 1 ≤ j₁ < j₂ < . . . < j_k ≤ n, is kind-of-increasing, if for every three consecutive elements in this subsequence, the average of the first two elements is smaller than the third element. Formally, (a_ji+a_ji+1)/2 < a_ji+2 holds for every i ∈ {1, 2, . . . , k−2}. Design an O(n³) algorithm that finds the length of a longest kind-of-increasing subsequence of a₁, . . . , a_n.