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

Left in the lurch, Hey vrcoder I have got similar way but the game builder ...

Hey vrcoder I have got similar way but the game builder has sent me the game unfinished and left. I saw it on a link on line but they have wiped the old message with the link in it

Store first n natural no in a file - c program, Program is to store first n...

Program is to store first n natural no in a file: Write a program to  store first n natural no in a file void main()     {     fstream file;     file.open("studen

There are ''''n'''' ants on a ''''n+1'''' leng n, There are ''''n'''' ants ...

There are ''''n'''' ants on a ''''n+1'''' length rod. The ants are numbered from 1 to n and are initially placed at positions starting from position 1 till position n. They are mov

Program to calculate the n factorial, Debug the following program to calcul...

Debug the following program to calculate N! #include using namespace std; main() {             int N, factorial=1;             cout             cin >> N;

Explain object conversions, Object Conversions Just like initialization...

Object Conversions Just like initialization, conversions are also done automatically when an object of a derived class is assigned to an object of the base class. Though, the c

Compiler design, Compiler Design - Limit In The Method Instructions

Compiler Design - Limit In The Method Instructions

How can one make it so keys pressed through users are , How can one make it...

How can one make it so keys pressed through users are not echoed on the screen? A: It is not a standard C++ feature. C++ doesn't even need your system to have a keyboard or a sc

Assignment, write a function rise to the power to find the exponent of a nu...

write a function rise to the power to find the exponent of a number whether function is called

Insertion sort - c program, Insertion sort - C program: Write a progra...

Insertion sort - C program: Write a program in c to define a insertion sort. void main()  {   clrscr();   int a[100],ch,n;   cout   cin>>n;   for (int i=0

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

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