Selectionsort takes time (rougly) proportional to n2 while mergesort takes time (roughly) proportional to nlogn, where n is the array size. Suppose that both algorithms take the same amount of time to sort an array of size 100. What will be the ratio of the runtimes selectionsort / mergesort when the array size is increased to a) 10, 000 b ) 100,000,000? Justify your answers using the applicable rules of thumb.

Selectionsort takes time (rougly) proportional to n2 while mergesort takes time (roughly) proportional to nlogn, where n is the array size. Suppose that both algorithms take the same amount of time to sort an array of size 100. What will be the ratio of the runtimes selectionsort / mergesort when the array size is increased to a) 10, 000 b ) 100,000,000? Justify your answers using the applicable rules of thumb.

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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