User Account

All Pages

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++ coursework programming for engineering, Hi there I am looking for hel...

Hi there I am looking for help with c++ coursework. Could you please provide me with email address to email a copy of it. Thanks

Algorithms, What is algorithm

What is algorithm

Cost of GCD algorithm, How to compute the Cost of GCD algorithm?

How to compute the Cost of GCD algorithm?

What is inline function, Inline function: It is a function without prot...

Inline function: It is a function without prototype. The function is defined above main. The function should  be  declared  above  main  function.                  Declaring

Create a program for decision structure , Create the following program or p...

Create the following program or propose one of your own. The program must include at least one of each of the following. Decision structure Repetitive structure fu

Decodethecode, 6999066263304447777077766622337778 -----> message sent by th...

6999066263304447777077766622337778 -----> message sent by the first smuggler. my name is robert---------> message decoded by the second smuggler. Where ‘0’ denotes the "space".

Programming and solving problems with a computer, One person who is special...

One person who is specialist at programming and solving problems with a computer Project Description: Potential computer, hardware, programming and software genius, I look

.Change to palindrome, A palindrome is a string that reads the same from bo...

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

Simple & compound interest, algorithm

algorithm

Program to calculate gross pay and tax payable, Study the following table u...

Study the following table used to compute the tax payable by employees in certain organization   Gross Pay                                  Fewer than Three             Three

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

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