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 Oriented Programming , You are required to give C++ implementation o...

You are required to give C++ implementation of following classes: 1. PropertyCategories 2. Plot 3. Flat 4. House Following is the description of all data member and member funct

Enumeration types, Write a simple program in C++ to investigate the safety ...

Write a simple program in C++ to investigate the safety of its enumeration types. Include at least 10 different operations on enumeration types that are incorrect/unsafe things to

Explain about inheritance, Inheritance and Reuse Consider a car manufac...

Inheritance and Reuse Consider a car manufacturing company. When they require building a new car, they have two choices. They can start from the scratch, or they can change an

Square maze, SquareMaze The SquareMaze class should be declared and defined...

SquareMaze The SquareMaze class should be declared and defined in maze.h and maze.cpp, respectively. Each SquareMaze object will represent a randomly-generated square maze and its

Define the data file in c programming, Define the Data File in C Programmin...

Define the Data File in C Programming? Many applications needs that information can written to or read from an auxiliary memory device. Such information is stock up on the memo

Linear array, limitation of linear array

limitation of linear array

Tree, Ask question #M i want to undersatnd about tree structures like node ...

Ask question #M i want to undersatnd about tree structures like node leaf etcinimum 100 words accepted#

Game coding, polishing the jewel game with c coding

polishing the jewel game with c coding

Loop, A company needs 200 pencils per year . you cannot simply use this pr...

A company needs 200 pencils per year . you cannot simply use this price as the cost of pencils two years from now. Because of inflation the cost is likely to be higher than it is

C++, how do i write a c++ program that will input a number and output its f...

how do i write a c++ program that will input a number and output its factorial using the while loop

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