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

In p = new fred(), Q: In p = new Fred(), does the Fred memory "leak" if  Fr...

Q: In p = new Fred(), does the Fred memory "leak" if  Fred constructor throws an exception? A: No.         If an exception take place during the Fred constructor of p = new F

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

Decodethecode, decode smugglers are very smart in day by day

decode smugglers are very smart in day by day

What is token in programming languages, T o k e n :  Tokens  are  s...

T o k e n :  Tokens  are  small  entities  in  a  program.    Example: identifiers,  keywords,  constants, operators, strings, etc.  These tokens are used almost in same wa

Assignment help, #questionHi, I am looking for help with the assignment, ca...

#questionHi, I am looking for help with the assignment, can you help..

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