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

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

Computer security and operating system, The Shortest Job Next (SJN) algorit...

The Shortest Job Next (SJN) algorithm queues processes in a way that the ones that use the shortest CPU cycle will be selected for running rst. Shortest remaining time rst algori

Eevrv, Ask question #Mi fd d fffffffffffffffffffffffffffffffffffffffffff...

Ask question #Mi fd d fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

Functions, please help me get all the inbuilt functions in c++

please help me get all the inbuilt functions in c++

Testvita, program

program

C program for rotation, Normal 0 false false false EN-U...

Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4

Skilled programmer is required to build a standalone module, A skilled prog...

A skilled programmer is required to build a standalone module to extract, parse and store in database tables, word count data from web pages and RSS feeds. The module can take R

#pointers, what is the purpose of pointer ? what is the syntax? how it work...

what is the purpose of pointer ? what is the syntax? how it works?

Example of switch case statement, #include #include #include void* m...

#include #include #include void* memorycopy (void *des, const void *src, size_t count) {   size_t n = (count + 7) / 8;   char* destination = (char *) des;   char* source =

Program to calculate tax - c++, Program to calculate tax: float tax (f...

Program to calculate tax: float tax (float) ; int main() {                 float purchase, tax_amt, total;                 cout                 cin >> purchase

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