A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k - 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 24? For each integern21, let s,-1 be the number of operations the algorithm executes when it is run with an input of size n. Then and s for each integer k 2 1. Therefore, So, $y. $2 .. is -Select- with constant Select ,which is So, for every integer n 2 0, s,= It follows that for an input of size 24, the number of operations executed by the algorithm is which equals -Select-
A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k - 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 24? For each integern21, let s,-1 be the number of operations the algorithm executes when it is run with an input of size n. Then and s for each integer k 2 1. Therefore, So, $y. $2 .. is -Select- with constant Select ,which is So, for every integer n 2 0, s,= It follows that for an input of size 24, the number of operations executed by the algorithm is which equals -Select-
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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