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

3, Write a program to find the area under the curve y = f(x) between x = a ...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

I want nike twitter rsvp bot, Project Description: Project Description: ...

Project Description: Project Description: I am seeking a programmer who will be able to design some software that will allow the user to: 1) Repeatedly monitor Nike twitter a

Programming C/C++ need a answer, 3. Write a program to encrypt and decrypt...

3. Write a program to encrypt and decrypt strings of characters using the following ciphers: a) Caesar cipher b) Vigenere cipher c) Matrix transposition cipher Your program shoul

develop a calculator in masm, Part 1 Assignment:  develop a calculator...

Part 1 Assignment:  develop a calculator in MASM. Text chapters covered:  1 through 4, 5.4, 5.5, 6.3, 7.4 You will develop a "calculator" algorithm in MASM using reverse-

Explain the working of strcmp and strcat function, Explain the working of s...

Explain the working of strcmp and strcat Function? strcmp() : This function is meant to use to compare two strings. The strcmp() function acknowledge two strings as argument

Decoding, Smugglers are becoming very smart day by day. Now they have devel...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

What are user defined data types, Q: What are User Defined data types? ...

Q: What are User Defined data types? C supports an extraordinary feature known as "type definition" that permits users to define an identifier that would represent an existing

C/c++, Byteland county is very famous for luminous jewels. Luminous jewels ...

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

Copy constructor and an overloaded assignment operator, What is the differe...

What is the difference among a copy constructor and an overloaded assignment operator? Ans) A copy constructor constructs a latest object by using the content of the argument

Describe the oops concept - class, There are so many different concepts rel...

There are so many different concepts related with OOP (Object-oriented programming) such as: Class Object Inheritance Polymorphism Abstraction Encapsulation

Write Your Message!

Captcha
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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd