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

What should one catch?, A: By keeping along with the C++ tradition of "ther...

A: By keeping along with the C++ tradition of "there's more than one method to do that" (translation: "give programmers options & tradeoffs so they can choose what's best for them

C program to allocate memory dynamically for 2-d array, Aim: To implement ...

Aim: To implement a program to allocate memory dynamically for 2 dimensional array (accept and print matrix) using pointers. Code:                       #include #inc

Algorithms flow charts and psuedocode, How to write C program (interest cal...

How to write C program (interest calculator) the simple interest on a loan is calculated by the formula interest=principal*rate*days/365; ?

Develop a telephone billing system, Project Description: My project is a...

Project Description: My project is about telephone billing system. This project was my project in my college life. The project is quite easy, i needed C++ programming language..

Explain the break statement, The break statement The break statement, w...

The break statement The break statement, which was already covered in the switch.. case, can also be used in the loops. When a loop statement is encountered in the loops the co

Can one create operator** for "to-the-power-of" operations?, A: no, can't. ...

A: no, can't. The names of, precedence of, associativity of, and arity of operators is fixed through the language. In C++, there is no operator** so you cannot create one for a

Palindrome, A palindrome is a string that reads the same from both the ends...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Write a program that illustrate command line parameters, Write a Program th...

Write a Program that illustrate Command Line Parameters? main(int argc, char *argv[]) { int i; for(i = 0; i printf("arg %d: %s\n", i, argv[i]); return 0; }

Program that implements a digital clock, Write C code for a program that im...

Write C code for a program that implements a digital clock (HH:MM:SS). The clock includes a two-digit hour indicator HH (00-23), a two-digit minute indicator MM (00-59), and a t

Write short note on classes in c++, Introduction to Classes Object-orie...

Introduction to Classes Object-oriented programming (OOP) is a conceptual approach to design programs. It can be executed in many languages, whether they directly support OOP c

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