Algorithm A solves an instance of size n by recursively solving eight instances of size n/2, and then combining their solutions in time O(n3). Algorithm B solves an instance of size n by recursively solving twenty instances of size n/3, and then combining their solutions in time O(n2). Algorithm C solves an instance of size n by recursively solving two in- stances of size 2n, and then combining their solutions in time O(n). Which algorithm is preferable, and why?
Algorithm A solves an instance of size n by recursively solving eight instances of size n/2, and then combining their solutions in time O(n3). Algorithm B solves an instance of size n by recursively solving twenty instances of size n/3, and then combining their solutions in time O(n2). Algorithm C solves an instance of size n by recursively solving two in- stances of size 2n, and then combining their solutions in time O(n). Which algorithm is preferable, and why?
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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Algorithm B solves an instance of size n by recursively solving twenty instances of size n/3, and then combining their solutions in time O(n2).
Algorithm C solves an instance of size n by recursively solving two in- stances of size 2n, and then combining their solutions in time O(n).
Which algorithm is preferable, and why?
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