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

Railway station simulation, Railway station simulation code in c programmin...

Railway station simulation code in c programming

Area Under Curve, Write a program to find the area under the curve y = f(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. The area under a curve between two points can b

Padovan String, A Padovan string P(n) for a natural number n is defined as:...

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation. For a string of t

Boardcoloring, code for boardcoloring

code for boardcoloring

List, Is there any difference between List x; and List x ()? Can you please...

Is there any difference between List x; and List x ()? Can you please provide me assignment help.

HASH., Define hash functions. Explain the Division method, Mid square metho...

Define hash functions. Explain the Division method, Mid square method and Folding method of hash functions.

Write a c program to input a floating point number, Step 1 Define the start...

Step 1 Define the start of the program    It should be noted that within C all commands should end in a semi-colon. For most of your programs the definition of a program header as

Academic expert for genetic algorithm, Academic expert for Genetic Algorith...

Academic expert for Genetic Algorithm Project Description: Seeking academic expert for Genetic Algorithm. Skills required are Academic Writing, Algorithm, C++ Programming,

OpenGL configured environment, 1. Using Visual C++ and your OpenGL co...

1. Using Visual C++ and your OpenGL configured environment, write an application that displays a “unique” graphical scene that you designed and coded for this course. What yo

Array, array itself is a pinter.explain

array itself is a pinter.explain

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