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

Calculate the average assignment grade, 1. The main program must be in a fi...

1. The main program must be in a file called A4.cpp 2. The data must be read in from a data file.  The user must enter the filename.  A sample data file will be provided on Mood

Loops, how to get plus asterisk pattern

how to get plus asterisk pattern

#padovan string, program that counts the number of occurrences of the strin...

program that counts the number of occurrences of the string in the n-th padovan string p(n)

Arrays, how to avoid duplicates strings in an array

how to avoid duplicates strings in an array

Car rental project, I need a project on car rental system using c programmi...

I need a project on car rental system using c programming only of college level

Program to display asterisks in the shape of a plus sign, Write a program c...

Write a program called plus that will display asterisks in the shape of a plus sign which has the height and width specified by the user. You must only allow entry of an odd numb

Luminous jewel polishing necklace, luminous jewel polishing necklace, c/c++...

luminous jewel polishing necklace, c/c++ programming

Assignment, electricity biil code

electricity biil code

Program, Byteland county is very famous for luminous jewels. Luminous jewel...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Luminous Jewels - The Polishing Game, Byteland county is very famous for lu...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

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