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

Minimum total number of shelves, At a shop of marbles, packs of marbles are...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

Valid segments 1, Consider text comprised of sentences and sentences compri...

Consider text comprised of sentences and sentences comprised of words. Words in a sentence will be space delimited. Given a text and K strings, task is to find out the number valid

Explain the new and delete operators, The new and delete operators The ...

The new and delete operators The C language has explained library functions- malloc() and free() for dynamic allocation and de-allocation of memory. C++ gives yet another appro

PLS URGENT HELP WITH C++, Pls i only need help with program 2. #include ...

Pls i only need help with program 2. #include #include using namespace std; int main() { int FilingStatus; cout cout cout cout cout cout

Develop a telephone billing system, Project Description: My project is a...

Project Description: My project is about telephone billing system. This project was my project in my college life. The project is quite easy, i needed C++ programming language..

What are the different types of endless loops, What are the different types...

What are the different types of endless loops? An endless loop can be of two types: i.) A loop that is intentionally designed to go round and round until the condition withi

C program to returns the string, Program is to take two arguments and retur...

Program is to take two arguments and returns the string: Program is to take two arguments and returns the string which is larger the larger string has larger ascii value invok

C program, program for lexicographically precedes the given input permutati...

program for lexicographically precedes the given input permutation

Loop, A company needs 200 pencils per year . you cannot simply use this pr...

A company needs 200 pencils per year . you cannot simply use this price as the cost of pencils two years from now. Because of inflation the cost is likely to be higher than it is

., what is polymorphism

what is polymorphism

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