User Account

All Pages

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

Object irientation, Explain about the strategies of implementation of the s...

Explain about the strategies of implementation of the statecharts, Database Management System?

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

Mathematical statements, Mathematical Statements and assignments    Wi...

Mathematical Statements and assignments    Within C we can directly load up the variable from within the program using the mathematical expression equates (=) e.g.   a= 'h'

Use of a windows box, This program requires the use of a windows box, no co...

This program requires the use of a windows box, no console applications are allowed. Prepare for Christmas now.  Each year, Reindeer Gift Emporium publishes a Christmas price list

Help, what is c++ ?

what is c++ ?

Should you employ this pointer in the constructor?, Should you employ this ...

Should you employ this pointer in the constructor?

Define how passing arrays to a function, Define How Passing Arrays to a Fun...

Define How Passing Arrays to a Function? A complete array can be passed to a function as an argument. The manner in which the array is passed be different from that of an ordin

Testvita, program

program

Program Assignment #3, Programming Assignment #3: Vehicle Track Performance...

Programming Assignment #3: Vehicle Track Performance Tests Purpose: The purpose of this programming assignment is to give the student experience in using functions, arrays, and str

Minimum sheleves with coding, program with coding

program with coding

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd