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

Assignment help, It''s that spooky time of year when the dead walk the Eart...

It''s that spooky time of year when the dead walk the Earth, things go bump in the night, and the Centers for Disease Control (CDC) recognizes the need for zombie preparedness (

Define difference among delete and delete[]?, when you allocate memory with...

when you allocate memory with new[], you ought to free the memory via delete[]. While you allocate memory along 'new', then use 'delete' with no the brackets. You employ new[] to a

Program, write a program for convert numbers upto 9 to alphabet?Eg.now ente...

write a program for convert numbers upto 9 to alphabet?Eg.now enter the inputis 666 means output is "0" lphabet

Evaluate the credit worthiness of a client, Write a C++ program that can be...

Write a C++ program that can be used to evaluate the credit worthiness of a client. The program reads the credit limit and the price and quantity of the item to be purchased by the

Define and explain flow chart with an example, C Programming and Data Struc...

C Programming and Data Structures 1. Define and explain flow chart with an example. 2. Write an algorithm to print all even numbers in descending order and draw the flowcha

Basic C++ Velocity and Momentum Program, Write a program that does the foll...

Write a program that does the following: Calculates the Velocity and Momentum of an object. The formula for the velocity is V=d/t and the formula Momentum is m=mass*velocity. Your

Hwid spoofer for windows 7, Project Description: I want a simple program...

Project Description: I want a simple program that will spoof my hardware id. I should be able to prepare the id to spoof to in the program and press "random" button to spoof to

Array of objects, Array of Objects: The objects can be declared just li...

Array of Objects: The objects can be declared just like a structure or even a primary data type.  Array of objects may be required to work with large set of data.   When the da

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