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

Euclidean Algorithm , how can I find the GCD of 2 given numbers using Eucli...

how can I find the GCD of 2 given numbers using Euclidean Algorithm ?

Explain object-oriented programming, Explain Object-oriented programming ...

Explain Object-oriented programming Object-oriented programming (OOP) attempts to meet these requirements, providing methods for managing enormous complexity, achieving reuse o

Boardcoloring, how to fill the blank space in4*4 matrix?

how to fill the blank space in4*4 matrix?

#superASC2 SRTING COST, A string S is said to be "Super ASCII", if it conta...

A string S is said to be "Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the asci

Write a c program to input a floating point number, Step 1 Define the start...

Step 1 Define the start of the program    It should be noted that within C all commands should end in a semi-colon. For most of your programs the definition of a program header as

Explain function overloading, F u nction overloading: Functions can b...

F u nction overloading: Functions can be defined with same name.  Depending upon the type of argument passed the function will perform.  This is known function overloading

Difference between method overloading and method overriding, Overloading a ...

Overloading a method (or function) in C++ is the ability for functions of the similar name to be defined as long as these methods have dissimilar signatures (different set of param

#psuedocode, Create a pseudocode in getting Calendar Quarter. The program s...

Create a pseudocode in getting Calendar Quarter. The program should identify which quarter falls the given date. Note: Consider the date format DDMMYYYY.

How private instance of a class can be assigned values, Question 1: (a)...

Question 1: (a) Explain clearly the following concepts using suitable examples of your own:- (i) concrete class v/s abstract class (ii) constructor v/s over

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