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

Describe what are dynamic pointers, Question: (a) Describe what are dy...

Question: (a) Describe what are dynamic pointers. Show their memory representations diagrammatically. (b) Write short notes about pointers in arrays, paying attention on

Caesar cipher, This task involves char arrays and pointer based string hand...

This task involves char arrays and pointer based string handling. Which we use to make a simple encryption program, using a Caesar Cipher, Write a program that: a. Asks

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

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#

Control structures in cpp, C o n t r o l S t r u c t u r e s ...

C o n t r o l S t r u c t u r e s I t i s o f t h r e e t y p e s: 1 .    S e qu e n c e s t r u c t u r e 2 .

Call by reference, Call by reference: Arguments to a function can be pa...

Call by reference: Arguments to a function can be passed in two way; one by call by value and other by call by reference.  Call by value is passed either through a constant

When does a name clash occur in c++, A name clash happens when a name is de...

A name clash happens when a name is described in more than one place. For example, two dissimilar class libraries could give two different classes the similar name. If you try to u

Define the system oriented data files, Define the System Oriented Data File...

Define the System Oriented Data Files? System-oriented data files are further closely related to the computer's operating system than Stream- oriented data files and they are s

Explain binary logical bit-wise operators, Binary logical bit-wise operator...

Binary logical bit-wise operators  There are three logical bit-wise operators :                   &             and                 |              or

Define order that local objects are destructed?, Define order that local ob...

Define order that local objects are destructed?

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