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

Program to find a greatest string: c - program , Program to find a Greatest...

Program to find a Greatest String: C - Program: Write a program find largest string by c program. int main( int argc, char *argv[] ) {     if( argc         {

Explain operator overloading, Explain Operator Overloading It is one ty...

Explain Operator Overloading It is one type of Polymorphism, an significant feature of object-oriented programming .Polymorphism means one thing having many forms, i.e. here an

Write a program that allows two players to play connect four, You may work ...

You may work in pairs for this assignment. Submit only one project per team; both partners will receive the same grade. Also, you can earn up to 40 points (out of 25) on this assig

Function that have parameter and makes an integer mask, Write a function th...

Write a function that has an int parameter n, makes an integer mask having the bit 1 at the nth place from the rightmost bit, and returns the mask. For example, when n = 5 is passe

What is a conversion constructor c++, A constructor that accepts one argume...

A constructor that accepts one argument of a dissimilar type.

C programming, a c program to find the volume of sphere

a c program to find the volume of sphere

Oop, evolutio of object oriented programing

evolutio of object oriented programing

Explain string constants in c language - escape sequences, Explain string c...

Explain string constants in c language - Escape Sequences? Illustrations are "945", "hello", "well done", "5+3". The character constant (example 'x') isn't equivalent to the st

Stack, flow chart for push operation in stack

flow chart for push operation in stack

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