Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 49C

Explanation of Solution

Initial considerations:

It is given that the Fibonacci function results in O(n).

Base case:

In the base case for the value (n2) , the Fibonacci function results in F(1)=1 and F(2)=2.

Induction step:

In the induction step for (n2) , it is claimed that n'<n the F(n) =F(n1)+F(n2) On induction the running time for the function is F(

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