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

Write a program of constructors and destructors, Write a program of constru...

Write a program of constructors and destructors Make a class drugs having encapsulated data for medicine name, whether solid or liquid, price and purpose of use. From this clas

File processing, Write a C++ program doing the following: The program reads...

Write a C++ program doing the following: The program reads from the keyboard the numbers of rows and columns of a 2-D array of integers. Then, it allocates this array (let’s name i

Boardcoloring, in this problem u given a board in which some of the element...

in this problem u given a board in which some of the elements are placed as shown in diagram below .each element represent a color .fill the other elements in the board such that n

Oops, write a c++ program to find the prime numbers

write a c++ program to find the prime numbers

Program of sorting algorithms , The program sorting.cpp contains a main f...

The program sorting.cpp contains a main function for testing the operation of several sort algorithms over various data sizes and data set organisations. The program understands

C++ programming, give a program to accept and print 2_D Array

give a program to accept and print 2_D Array

Mr. D. Mclean, A Network of routers have been configured for the ...

A Network of routers have been configured for the purposes of handling data traffic within your company. You would like to have an application that does a network

Explain different access specifiers in a class, Question 1 Create a class ...

Question 1 Create a class String which stores a string value. Overload ++ operator which converts the characters of the string to uppercase (toupper() library function of "ctype.h

Looping, For Loop with inner loop

For Loop with inner loop

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