Suppose you have m sorted arrays, each with n elements, and you want to combine them into a single sorted array with mn elements. 1. If you do this by merging the first two arrays, next with the third, then with the fourth, until in the end with the last one. What is the time complexity of this algorithm, in terms of m and n? 2. Give a more efficient solution to this problem, using divide-and-conquer. What is the running time?
Suppose you have m sorted arrays, each with n elements, and you want to combine them into a single sorted array with mn elements. 1. If you do this by merging the first two arrays, next with the third, then with the fourth, until in the end with the last one. What is the time complexity of this algorithm, in terms of m and n? 2. Give a more efficient solution to this problem, using divide-and-conquer. What is the running time?
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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Transcribed Image Text:Suppose you have m sorted arrays, each with n elements, and you want to combine them into a
single sorted array with mn elements.
1. If you do this by merging the first two arrays, next with the third, then with the fourth, until in the end
with the last one. What is the time complexity of this algorithm, in terms of m and n?
2. Give a more efficient solution to this problem, using divide-and-conquer. What is the running time?
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