Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 5, Problem 24C

Isabel has an interesting way of summing up the values in an array A of n integers, where n is a power of two. She creates an array B of half the size of A and sets B[i] = A[2i] + A[2i + 1], for i = 0, 1,…, (n/2) − 1. If B has size 1, then she outputs B[0]. Otherwise, she replaces A with B, and repeats the process. What is the running time of her algorithm?

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