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

Primary data type in cpp, What are  P r im a r y D a t a T y p...

What are  P r im a r y D a t a T y p es? Integer can be defined according to the size of the data and it can be modified further by using keyword unsigned and si

File, how i can open a file

how i can open a file

Loops, how do i print out invalid input?

how do i print out invalid input?

Optimized nic driver for windows compact 7, Optimized NIC Driver for Window...

Optimized NIC Driver for Windows Compact 7 for Hard Real Time Communication Project Description: I am seeking an optimized driver (miniport driver) that will be used for sele

What is class definition, Class Definition The following is the general...

Class Definition The following is the general format of defining a class template: class tag_name                  {                    public  :               // Must

Oop, evolutio of object oriented programing

evolutio of object oriented programing

#title minimization and maxmization assignment problem, how we can code in ...

how we can code in c++ for assignment problem (operation research) method to mkinimization and mamization

I want to convert atmel c code into arduino mppt, Normal 0 fals...

Normal 0 false false false EN-US X-NONE X-NONE

Stuctrue , To store a date use a structure that contains three members date...

To store a date use a structure that contains three members date, month and year. If the dates are equal then display message “Equal” otherwise “Unequal” Program structure: main()

Padovan string, padovan string for n natural numbers p(n)=1,p(n)=2,p(n)=3 a...

padovan string for n natural numbers p(n)=1,p(n)=2,p(n)=3 and use padovan formul to get output 1

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