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

Addition of array elements, Addition of array elements: #define rows 3 ...

Addition of array elements: #define rows 3 #define cols 3 void main() {                 int i=0,j=0,sum=0;                 int arr[rows][cols];

Write a program for simulating jet-powered car acceleration, The absolute l...

The absolute land-speed record of 763.035 MPH (Mach 1.02) was set in October 15 1997 by a jet-powered car called Thrust SSC in the Black Rock Desert of northern Nevada. The team th

Define register variables - low level programming, Define Register Variable...

Define Register Variables - Low Level Programming? The Register variables are a special case of an automatic variable. The Automatic variables are allocated storage in the memo

Explain why a linked list is called dynamic data structure, Question: (...

Question: (a) (i) What is recursion? (ii) What advantage is there in its use? (iii) What disadvantage is there in its use? (b) The factorial of a positive number can b

How the operations are performed in a single linked list, Question: (a)...

Question: (a) Explain a linked list. (b) Describe the three different types of linked list with the help of diagrams. (c) Give two advantages and two disadvantages

Produce an executable file, Requirements Create a "makefile" that w...

Requirements Create a "makefile" that will manage the construction of a program The name of the makefile must be: makefile The make file must produce an executable

Prepare an application in c# or c++, Prepare an Application in C# or C++ ...

Prepare an Application in C# or C++ Project Description: We are seeking someone who can write a program in C# or C++. The idea is to prepare the program using a Cross Plat

Write a program to design a leet speak translator, The program will consist...

The program will consist of two text fields, two buttons, and a counter label.  One text field will be input, where the user types the plain text.  The second text field will be ou

What is default argument, Default argument: When the argument is missin...

Default argument: When the argument is missing then the function will read the default value of the missing argument.  To make use of default argument functionality the argu

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