3n+1, C/C++ Programming

Assignment Help:
Consider the following algorithm to generate a sequence of numbers. Start with an integer n. If n is even, divide by 2. If n is odd, multiply by 3 and add 1. Repeat this process with the new value of n, terminating when n is equal to 1. For example, the following sequence is generated for n = 22:

22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

It is conjectured (but not yet proven) that this algorithm will terminate at n is equal to 1 for every integer n. The conjecture holds for integers up to at least 1,000,000.

For an input n, the cycle-length of n is the number of numbers generated up to and including the 1. In the example above, the cycle length is 16.

Write a C++ program that repeatedly prompts the user for two numbers, Start and End, and determines the maximum cycle length over all numbers between Start and End, including both endpoints. Assume all inputs are integers less than 1,000,000 and greater than 0. If a negative number is entered for the start, then the program should end immediately.

Sample Command Line Interface: (Bold Signifies User Input)
Start: 1
End: 10
Max: 20

Start: 100
End: 200
Max: 125

Start: 201
End: 210
Max: 89

Start: -3

Related Discussions:- 3n+1

C++ Program Please see where i do mistake, #include #include #include ...

#include #include #include #include #include class Employee { private: char *Name; //Set them as pointers... int IdNumber; char *Department; char *Position; public: voi

Program of 2d byte array dynamicall, In this lab, please complete a given p...

In this lab, please complete a given program to perform the following tasks: 1. Allocate a 10 by 5 2D byte array dynamically. The way of allocation must be consistent with page

Palindrome, A palindrome is a string that reads the same from both the ends...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Program of multipication using inline function, Aim: Write a program of mu...

Aim: Write a program of multipication using inline function class Multiply {           int x,y;           public:           void getdata();           inline calc

Explain the changing field width, Changing Field width The printf() and...

Changing Field width The printf() and scanf() functions from the standard library, use width specifier for controlling the width of its output . Similarly, the ostream class al

Program that calculates bowling scores, Homework – Chapter 5 – Bowling Scor...

Homework – Chapter 5 – Bowling Scores 33. Write a complete C++ program to do the following: The main program reads in and prints three bowling scores, score1, score2, and score

Function, limitation of function

limitation of function

Program to compute distance travelled by ball, Produce a pseudo code to be ...

Produce a pseudo code to be used for development compute and display some data on the bounces a ball will make when dropped from a given height. To simplify the problem, you ass

Explain difference between early binding and late binding, What is the diff...

What is the difference between early binding and late binding? What are advantages of early binding? a.) Late binding refers to function calls which aren't resolved until run t

What is object variable, The definition of an object(variable ): We can...

The definition of an object(variable ): We can explain a variable(set memory to the variable) in the following ways. e.g. double salary; int month; When more than o

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd