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 31, Problem 3P

a.

Program Plan Intro

To show that the running time of the straightforward recursive method for computing Fn based on recurrence is exponential in n .

b.

Program Plan Intro

To show how to compute Fn in O(n) time using memorization.

c.

Program Plan Intro

To show how to compute Fn in O(lgn) time using only integer addition and multiplication.

d.

Program Plan Intro

To find the running time of these three methods under the more reasonable cost measure for the elementary arithmetic operations.

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