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

Guidelines or "rules of thumb" for overloading operators?, What are some gu...

What are some guidelines / "rules of thumb" for overloading operators? A: Here are a few guidelines / rules of thumb .Use common sense. If your overloaded operator makes life si

Resection method, recsection method source code for searching position

recsection method source code for searching position

String, Write a program that takes 3 small letters as input and sort them a...

Write a program that takes 3 small letters as input and sort them according to their ASCII value.

Explain class templates, Class Templates In addition to function  templ...

Class Templates In addition to function  templates, C++  also supports the  method of class templates. By definition, a class template is a class definition that explains a fam

Luminous Jewels - The Polishing Game, 1. Jewels can only be removed for pol...

1. Jewels can only be removed for polishing from either end of the necklace (i.e. head or tail) 2. Once a jewel type is removed from the necklace, all other instances of the same j

Recursion, Given a string, print all possible palindromic partitions using ...

Given a string, print all possible palindromic partitions using recursion

How can define an array, Q: How can Define an Array? An Array is define...

Q: How can Define an Array? An Array is defined in much the alike manner as ordinary variables except that every array name must be accompanied by a size specification (that is

Multilevelinheritance inc++, develop a program read the following informati...

develop a program read the following information from the keyboard in which base class consist of employee name code and destingnation the derived class contain the data members th

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