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?
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?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13fd94eb-5bbf-488a-add0-2333b87d868a%2F685823d3-737b-4a54-8d1a-9736ea10f81b%2Fxjplun_processed.png&w=3840&q=75)
Transcribed Image Text: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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