Start with any positive number n. If n is even divide it by 2, if n is odd multiply by 3 and add 1. Repeat until n becomes 1. The sequence that is generated is called a bumpy sequence. For example, the bumpy sequence that starts at n = 10 is:  10, 5, 16, 8, 4, 2, 1 and the one that starts at 11 is 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1 Write a function named lengthBumpy that returns the length of the bumpy sequence generated by its integer argument. The signature of the function is     int lengthBumpy(int n) Examples: lengthBumpy(10) returns 7, and lengthBumpy(11) returns 15. You may assume that the argument n is positive and that the sequence converges to 1 without arithmetic overflow.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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  1. Start with any positive number n. If n is even divide it by 2, if n is odd multiply by 3 and add 1. Repeat until n becomes 1. The sequence that is generated is called a bumpy sequence. For example, the bumpy sequence that starts at n = 10 is: 
    10, 5, 16, 8, 4, 2, 1
    and the one that starts at 11 is
    11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1

Write a function named lengthBumpy that returns the length of the bumpy sequence generated by its integer argument. The signature of the function is 
   int lengthBumpy(int n)

Examples:
lengthBumpy(10) returns 7, and lengthBumpy(11) returns 15.

You may assume that the argument n is positive and that the sequence converges to 1 without arithmetic overflow.

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