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

Make c code works equally on 64 and 32 bit, Project Description: I have ...

Project Description: I have a code that works different on 64 bit and 32 bit system. Code is relative to some crypt functions, similar, but not equal to: I have to move fr

Memory management system, 1. Basic Heap: Each memory location in our model ...

1. Basic Heap: Each memory location in our model of the RAM will be an instance of type Memory: 2. typedef union Memory_u Memory; 3. union Memory_u{ 4. char character;

How comment symbols help in debugging the code, How does placing some code ...

How does placing some code lines between comment symbols help in debugging the code? - Placing comment symbols /* */ around a code separates some code that coder believes might

Which one would you prefer - a macro or a function, Which one would you pre...

Which one would you prefer - a macro or a function? Actually it depends on the purpose of program! - In case of macros, corresponding code is inserted directly into your sou

Advantages of using pointers over arrays, Question : (a) Define a Poin...

Question : (a) Define a Pointer. Provide an example of an integer pointer variable. (b) Give advantages of using pointers over arrays. (c) Declare an integer pointer

Explain syntax rules for writing a destructor function, Syntax rules for wr...

Syntax rules for writing a destructor function Its name is the similar as that of the class to which it belongs, except that the first character of the name is the symbol t

Vb.net, write a program that would accept the radius of the sphere and retu...

write a program that would accept the radius of the sphere and return its surface area.

Working of ordered linked list, Working Ordered linked list: • Eachint...

Working Ordered linked list: • Eachinteger in the queue is stored inside of a QueueItem. The QueueItem contains the integer, and a pointer to the next item in the queue. Fo

C, minimum total number of shelves.

minimum total number of shelves.

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