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

Define the char data type of c language, Define the Char Data Type of C Lan...

Define the Char Data Type of C Language? The char defines characters. The char type will usually require only 1 byte of internal storage. Every char type has an equivalent inte

Explain function overloading, Function Overloading Function overloading...

Function Overloading Function overloading is a form of polymorphism. Function overloading facilitates explaining one function having many forms. In other words it facilitates e

Describe the oops concept - class, There are so many different concepts rel...

There are so many different concepts related with OOP (Object-oriented programming) such as: Class Object Inheritance Polymorphism Abstraction Encapsulation

Develop an e commerce site, We need an E Commerce site likefifacointrader. ...

We need an E Commerce site likefifacointrader. you must have experience with that kind of work You have to show a sample of work like that site. Skills required are C Prog

Convert a cov-cpe file to a tif image file, Convert a COV/CPE (Micosoft Fax...

Convert a COV/CPE (Micosoft Fax Cover Page) file to a TIF image file Project Description: I would like a small API written that will take a COV/CPE file and replaced the corr

Want an ea project for jack bsher, Want an EA project for Jack Bsher Pro...

Want an EA project for Jack Bsher Project Description: New EA game Skills required   Android, C++ Programming, PHP, Metatrader, SQL

I need website product section search box coding section fix, I need websit...

I need website Product section search box coding section fix Project Description: On our products section in the search box it only searches the name and title of our product

Describe how a structure differs from a union, Question : (a) How does...

Question : (a) How does a structure differ from an array? (b) Describe how a structure differs from a union? (c) Declare a union called ‘clothes' which consists of the

Destructor on a local variable, Should I explicitly call a destructor on a ...

Should I explicitly call a destructor on a local variable? Explain it.

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