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

Programming, pseudocode for gregorian calendar

pseudocode for gregorian calendar

Explain friend for overloading operators, Friend for Overloading Operators ...

Friend for Overloading Operators Sometimes friend functions cannot be avoided. For example with the operator overloading. Consider the following class that have data members to

Explalin concept of derivations in c++, derivations 1. Regardless of the...

derivations 1. Regardless of the type of derivation, private members are inherited by the derived class, but cannot be accessed by the new member function of the derived class,

C++ Data Structure program, Description A long time ago in a galaxy far, f...

Description A long time ago in a galaxy far, far away, the country Mafghanistan had n cities and m old roads, where each road connected a pair of cities. Due to the treacherous mo

Project, Project Overview A certain financial institution (bank) wishes to ...

Project Overview A certain financial institution (bank) wishes to promote its new business products/services by conducting road shows in rural areas. Their aim is to encourage peop

Developing programs in the c++ programming language., I. COURSE DESCRIPTION...

I. COURSE DESCRIPTION Develops a working knowledge of object-oriented concepts in areas of classes, inheritance, data structures, error handling, templates and file processing.

Recursive function, Binomial coefficients are the numeric factors of the pr...

Binomial coefficients are the numeric factors of the products in a power of a binomial such as (x + y)n. For example, (x + y)2 = x2 + 2 x y + y2 has the coefficients 1 2 1. Binomia

Write a c program to input your full forename, Write a C program to input y...

Write a C program to input your full forename and full surname. e.g James McCarren and display in one string your complete initial and surname i.e J McCarren . Your initial should

I want im messenger, I would like to get you to collaborate in my project. ...

I would like to get you to collaborate in my project. We want a C programmer to Develop applications for Windows, the first application may be an Instant messenger encrypted in a w

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