Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 3.1, Problem 8E
Program Plan Intro

To describe the definitions for Ω(g(n,m)) and θ(g(n,m)) for the function g(n,m) .

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f(n) = 2", g(n) = 2.01". v.
Define a function  S: Z+ → Z+  as follows. For each positive integer n, S(n) =  the sum of the positive divisors of n.   1.) S(13) =   2.)S (5) =
Analyze the running time (i.e. T(n)) of these functions. You should be able to find some simple function f(n) such that T(n) O(f(n)). You should show your work and rigorously justify your an- 1. swer.
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