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

What are literals, Literals (Constants) Constants are data storage loca...

Literals (Constants) Constants are data storage locations whose address is not accessible for the user. Their value is not altered during the course of the program. Literal

Variable, what is a variable

what is a variable

Program that predicts users age, Program: Write a program that predicts...

Program: Write a program that predicts users' age (0-128 years old) with at most 7 questions. The game starts with asking the user whether he/she is younger or older than G (an

Algorithm, Algorithm for railway ticket booking process

Algorithm for railway ticket booking process

Explain increment and decrement operators, Increment and Decrement Operator...

Increment and Decrement Operators.   The operator for increment is '++' and decrement is '-'. These operators enhances or decrease the value of a variable on which they are ope

Padovan sequence, write a program that counts the number of occurrences of ...

write a program that counts the number of occurrences of the string in the n-th Padovan string P(n)

Should my constructors employ"assignment"or"initialization, Should my const...

Should my constructors employ "assignment" or "initialization lists"?

C Program with android, Hello, I would like to know if you can help in C pr...

Hello, I would like to know if you can help in C programs that work on android.

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

Answer, Write a program to find the area under the curve y = f(x) between x...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b.

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