You are given an array A, which stores n non-negative integers. Design an efficient divide-and-conquer algorithm that accepts A and n as inputs and returns the index of the maximum value in the array A. (1) Basic idea and Pseudocode: (Pleas first use a few sentences of plan language to explain the basic idea of your algorithm, then provide the pseudo-code of your algorithm. Please be clear about each step of your pseudo-code, when necessary, you can add comments to explain each step) Analysis: derive a recurrence for the running time T(n) of your algorithm, and solve the recurrence to provide the asymptotic running time of your algorithm.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
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You are given an array A, which stores n non-negative integers. Design an efficient divide-and-conquer algorithm that accepts A and n as inputs and returns the index of the maximum value in the array A.

(1) Basic idea and Pseudocode: (Pleas first use a few sentences of plan language to explain the basic idea of your algorithm, then provide the pseudo-code of your algorithm. Please be clear about each step of your pseudo-code, when necessary, you can add comments to explain each step)

Analysis: derive a recurrence for the running time T(n) of your algorithm, and solve the recurrence to provide the asymptotic running time of your algorithm.  

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