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

Dynamic initialization of objects and dynamic constructor, Dynamic Initiali...

Dynamic Initialization of objects: It is initializing the objects by passing the valued to the constructor from the user input or other means.   Through cin operator a value

Create a software application, Project Description: Currently seeking so...

Project Description: Currently seeking someone who can create me a software application (google chrome crx file_ that will auto add all shoe sizes to cart directly and if not av

Class & objects, how objects are initialized dynamically?

how objects are initialized dynamically?

Simplify the logical phrase with C++, hi i want wite a C++ program that get...

hi i want wite a C++ program that get one logical phrase (included {x,y,z,w,1,0}) and simplify it! but i ''m confused! thanxs for anubody help me...

Functions, write a program to calculate gross salary and net salary using h...

write a program to calculate gross salary and net salary using hra da pf in c++

Problem : Change to palindrome, A palindrome is a string that reads the sam...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Computer programing, pls give me answer 01110-00110 in 2''s comlpiment in d...

pls give me answer 01110-00110 in 2''s comlpiment in detail

Pro, em Ipsum is that it has a more-or-less normal distribution of letters,...

em Ipsum is that it has a more-or-less normal distribution of letters, as opposed to using ''Content here, content here'', making it look like readable English. Many desktop publis

Briefly describe how a linear search algorithm works, Question 1: (a) D...

Question 1: (a) Describe the following objects and condition states: (i) ifstream and ofstream objects (ii) eof(), fail(), bad() and good() functions. (b) Write a C++ pr

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