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

Pointers with an array, // Basic pointer code #include "stdafx.h" #in...

// Basic pointer code #include "stdafx.h" #include iostream using namespace std; int _tmain(int argc, _TCHAR* argv[]) {             int FirstNumber, SecondNumber;

What is an incomplete type in c++, Incomplete types refer to pointers in wh...

Incomplete types refer to pointers in which there is no availability of the execution of the referenced location or it points to some location whose value is not available for modi

Prepare a mt4 ea to clone mt4 trades to a binary options, Prepare a MT4 EA ...

Prepare a MT4 EA to clone MT4 Trades to a Binary Options Platform Project Description: I want an EA that clones MT4 Trades to Globaltrader365, GT Options and if possible othe

Need discrete math tutor, Project Description: I will need a tutor that ...

Project Description: I will need a tutor that would help me out in Data Structure and learning Algorithm more at the mathematical/algorithmic level. The book is written by "by T

Write a c program to calculate the equation, Write a C program to calculate...

Write a C program to calculate the output Y for a given value of X for the following formula   Y=X 2 + 2X +3   #include stdio.h   void main()   {   char promt;   float y,x

Inside and outside type casting, depth description of the inside and outsid...

depth description of the inside and outside typecasting

Padovan string, example of padovan string program

example of padovan string program

Rules of function, Rules of function: Inline function created witho...

Rules of function: Inline function created without prototype it reduces the memory and it is used only for small function. Inline function cannot have recursion, static var

Theory, recursive sub programs

recursive sub programs

Example for register storage class - computer programming, Example for Regi...

Example for Register Storage Class - computer programming? main() { register int i; for (i=0; i { ............... ............... } } /* block exit will free the register

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