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

Cipher: Decrypt and Encrypt, You must write a program that can both decrypt...

You must write a program that can both decrypt and encrypt a single word that is entered by the user. The initial choice of encryption and decryption is left up to the user. Addi

Luminous jewels, removing jewel from a necklace

removing jewel from a necklace

Declaration of variables in cpp, Declaration of Variables: Variables ar...

Declaration of Variables: Variables are declared as follows: int a; float b;   Assigning value to variables: int a = 100; Declaring and assigning is called ini

Print the minimum number of character replacements needed t, how to generat...

how to generate code

Arrays, what is an array?

what is an array?

Example for external storage class - computer programming, Example for exte...

Example for external storage class - computer programming? extern double sin (double); In a function prototype, for the sin() function its function definition ~ we can write

Luminous jewel - a polishing game, Byteland county is very famous for lumin...

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

Decodethecode, 6999066263304447777077766622337778 -----> message sent by th...

6999066263304447777077766622337778 -----> message sent by the first smuggler. my name is robert---------> message decoded by the second smuggler. Where ‘0’ denotes the "space".

What are the differences among a struct in c & in c++?, A: In C++ a struct ...

A: In C++ a struct is alike to a class except for the default access specifier( refer to other question in the document). In C we ought to include the struct keyword while declarin

File, how i can open a file

how i can open a file

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