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Suppose you are given an array A of n distinct integers with the following property: There exists a unique index p such that the values of A[1... p] are increasing and the values of A[p... n] are is decreasing. For instance, in the example below we have n = 10 and p = 4: A [2, 5, 12, 17, 15, 10, 9, 4, 3, 1] Design a O(log n) algorithm to find p given an array A with the above property. Show the correctness of your algorithm

Suppose you are given an array A of n distinct integers with the following property: There exists a unique index p such that the values of A[1... p] are increasing and the values of A[p... n] are is decreasing. For instance, in the example below we have n = 10 and p = 4: A [2, 5, 12, 17, 15, 10, 9, 4, 3, 1] Design a O(log n) algorithm to find p given an array A with the above property. Show the correctness of your algorithm

Computer Networking: A Top-Down Approach (7th Edition)
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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Suppose you are given an array A of n distinct integers with the following property: There exists a unique index p such that the values of A[1... p] are increasing and the values of A[p...n] are is decreasing. For instance, in the example below we have n = 10 and p = 4: A [2, 5, 12, 17, 15, 10, 9, 4, 3, 1] = Design a O(log n) algorithm to find p given an array A with the above property. Show the correctness of your algorithm
Transcribed Image Text:Suppose you are given an array A of n distinct integers with the following property: There exists a unique index p such that the values of A[1... p] are increasing and the values of A[p...n] are is decreasing. For instance, in the example below we have n = 10 and p = 4: A [2, 5, 12, 17, 15, 10, 9, 4, 3, 1] = Design a O(log n) algorithm to find p given an array A with the above property. Show the correctness of your algorithm
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