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

How do i develop a subscript operator for a matrix class?, Employ operator ...

Employ operator () instead of operator[]. While you have multiple subscripts, the cleanest way to do it is along with operator () instead of with operator[]. The reason is that

Implementation of the stack class in c++, Implementation of the Stack class...

Implementation of the Stack class in C++: How to implement stack class in c++. int Stack::push(int elem) {    if (top    {       list[top++] = elem;       r

Oops, how to create the programs in c++ knowledge

how to create the programs in c++ knowledge

Advance in c, create a program to populate the first array then the odd num...

create a program to populate the first array then the odd number is the second array and get the sum of the second array.

Copy constructor and overloaded assignment operator, please provide me the ...

please provide me the assignment help. What is the difference between a copy constructor and an overloaded assignment operator?

HASHING, What is meant by open addressing? Explain various collision resolu...

What is meant by open addressing? Explain various collision resolution techniques with example

CptS 121 Program Development & Design program design in C, Write a program...

Write a program that performs character processing on 10 characters read in from a file, and writes the results to output files. Do NOT use loops or arrays to solve this problem. N

Operation on string - c ++ program, Operation on String - C ++ Program: ...

Operation on String - C ++ Program: Write a program to define operations on string in c++. class String {    char *char_ptr;   // pointer to string contents    int le

Example of function - c program, Here is a short program. It prints out the...

Here is a short program. It prints out the value of a variable "x". Ernie and Bert disagree about what will be printed: Ernie says, the value gets changed in "changeX" so it will p

Application for build a toy program, With this assignment you will build a ...

With this assignment you will build a toy program that manipulates pointers to integers. You will develop the same main program fragment in both C and Assembler. Thus, you'll get t

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