Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
4th Edition
ISBN: 9780134787961
Author: Tony Gaddis, Godfrey Muganda
Publisher: PEARSON
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Chapter 16, Problem 9PC

Efficient Computation of Fibonacci Numbers

Modify the application in Code Listing 16-18 by replacing the recursive method for computing Fibonacci terms with an iterative version and try to make it as efficient as possible. Modify the application so it outputs the elapsed time in both seconds and milliseconds. Finally, run the application and generate output showing the rime required to compute the terms of the sequence in positions 45, 46, 47, 48, 49, and 50. Comment on the results.

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Fibonacci numbers are a sequence of integers, starting with 1, where the value of each number is the sum of the two previous numbers, e.g. 1, 1, 2, 3, 5, 8, etc. Write a function called fibonacci that takes a parameter, n, which contains an integer value, and have it return the nth Fibonacci number. (There are two ways to do this: one with recursion, and one without.)
Read Chapter 12 Recursive Lines Write a recursive function that accepts an integer argument, n. The function should display n lines of asterisks on the screen, with the first line showing 1 asterisk, the second line showing 2 asterisks, up to the middle line which shows n asterisks. You will then continue to print less stars until your last line of one asterisk. With an input of 3 your output should look like below. You will need to wind the stack to print up to your largest line. You will print the last set of lines as you unwind the stack or as you come out of your recursion.   *  ** ***  **   *
Write a recursive function that displays a string reversely on the console using the following header: void reverseDisplay(const string& s) For example, reverseDisplay("abcd") displays dcba. Write a test program that prompts the user to enter a string and displays its reversal.

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Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)

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