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

How to write a function template, How to write a function template A fu...

How to write a function template A function template should be written at the beginning of the program in the global area, or you may place it into a header file. All function

The Shell or Command Line Interpreter is the fundamental Use, 1. The shell ...

1. The shell must support the following internal commands: i. cd - Change the current default directory to . If the argument is not present, report the current directory. If t

Design a game in c, Design a game in c: const DODGERS = 0; const GI...

Design a game in c: const DODGERS = 0; const GIANTS = 1;   void main(void) {    int scoreboard [2][9];    // An array two rows by nine columns    int team, i

Function, limitation of function

limitation of function

Bitcoin alternative – deployment and modification, I started preparing an a...

I started preparing an alternative cryptocurrency and I am way over my head. I would like help in making modifications to the open source files and then help with deployment. I wil

Define array of objects, Array of Objects A class is a template, which ...

Array of Objects A class is a template, which can contain data items as well as member functions to operate on the data items. Various objects of the class can also be declared

Password Validation Prgram in C++, Create a .cpp program that verifies the ...

Create a .cpp program that verifies the strength of a password that a user is entering is strong (complex/secure) enough. In the main area of the program, prompt the user to enter

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