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

Expression in c++, expression and its types with example programs

expression and its types with example programs

C CODING, HOW THE C PROGRAM CODING IMPLEMENTED DY ITSELF UNDERSTANDING . AL...

HOW THE C PROGRAM CODING IMPLEMENTED DY ITSELF UNDERSTANDING . ALSO HOW I CAN A BECOME A GOOD PROGRAMMER IN C WHAT I DO FOR GOOD PROGRAMMING ,TELL ME HOW C CODING DEVELOP DY ITSELF

Srand and rand(), Mention clearly about srand and rand().

Mention clearly about srand and rand().

Function, Write a C++ program according to the following specifications 1. ...

Write a C++ program according to the following specifications 1. Display a brief description of the program. 2. Ask the user to specify the type of loading (end load, intermediate

Program is to define a class as student, Program is to define a class as st...

Program is to define a class as student: Program is to define a class as student and display the records specific depending upon the number class student  {  private:

String, Byteland county is very famous for luminous jewels. Luminous jewels...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Setup and source code with nice user interface, Virtual Webcam effects - Se...

Virtual Webcam effects - Setup and Source code with Nice User Interface Project Description: I want a similar webcam effects application which can apply effects to webcam fee

Cloud computing, hi Bhasker, as we spoke tru phone ,we need a project usin...

hi Bhasker, as we spoke tru phone ,we need a project using cloud computing .we need to present a protoype or demo on it (any thing using cloud should be fine)(ex: P2p)

The use of the break and continue statements in a loop, Question: (a) ...

Question: (a) A bank has four types of accounts with annual interest rates as follows: Savings 8% Savings with Cheque Book 5% Current 4% Fixed deposits 10% Using

Switch, switch statement

switch statement

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