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 1.2, Problem 3E
Program Plan Intro
Tofind the smallest value of
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When the order of growth of the running time of an algorithm is N log N, the doubling test will lead to the hypothesis that the running time is ~ a N for a constant a. Isn’tthat a problem?
On an input of size 100, an algorithm that runs in time lg n requires steps whilst an algorithm that runs in time n! requires roughly 9.3 x 10 to the power.
Calculate the running time of the algorithms using big-O notation:
a) for (i = 1; i*i*i<n; i++)
printf(“%d\n”, i)
b) for (i = n; i > 1; i = ceil(i/10))
printf(“%f\n”, i);
Chapter 1 Solutions
Introduction to Algorithms
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