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

Programming Assignment 4, For this program, you are going to modify your pr...

For this program, you are going to modify your previous program (program 3) so that it will now have a menu to see if the user wants to read the input from a file or interactively.

How can dereferencing the pointer this, Dereferencing the Pointer this ...

Dereferencing the Pointer this Sometimes a member function requires to make a copy of the invoking instance so that it can change the copy without affecting the original instan

Program that implements inference given a bayesian network, In this problem...

In this problem, you will write a program that implements two algorithms for performing exact inference given a Bayesian network, namely, enumeration and variable elimination. Your

Explain static class members, Static Class Members As we already know a...

Static Class Members As we already know all the objects of the class have dissimilar data members but invoke the similar member functions. Though, there is an exception to this

C++ age guessing game, Write a program that predicts users’ age (0-128 year...

Write a program that predicts users’ age (0-128 years old) with at most 7 questions. The game starts with asking the user whether he/she is younger or older than G (an initial gues

Employee payroll, You are to write a C++ program which will compute the gro...

You are to write a C++ program which will compute the gross pay, Social Security Tax, Income Tax and net pay for an employee. The program needs to prompt for and read the employ

Explain member functions of a class, Member Functions of a Class A memb...

Member Functions of a Class A member function of the class is similar as an ordinary function. Its declaration in a class template must explain its return value as well as the

STM32F103RET6, traffic light t junction I have 21 LEDs will 6 in each side...

traffic light t junction I have 21 LEDs will 6 in each side 3 for the cars the other 3 will be for the people across the street this will be for each side and the last 3 for show

Source code, I hv an assignment to do, I almost done. But i cant find whats...

I hv an assignment to do, I almost done. But i cant find whats wrong- my code is to make a simple calculator using function''s all 4 patterns. I did like this- #include int add

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