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

Explain about evaluation of expression in c language, Explain about Evaluat...

Explain about Evaluation of Expression in c language? An Expressions are evaluated using an assignment statement of the form: variable = expression; The Variable is any v

C program to show overloading of matrix operator, C program to show overloa...

C program to show overloading of matrix operator: Write a program for matrix operator overloading. class matrix{                   private :                 int x[

C++, padovan string c++ program

padovan string c++ program

Lennie, Lennie McPherson, proprietor of Lennie''''s Bail Bonds, needs to ca...

Lennie McPherson, proprietor of Lennie''''s Bail Bonds, needs to calculate the amount due for setting the bail. Lennie requires something of value as collateral, and his fee is 10%

Derivatives and symbolic math, #Hi, I''m planning to derive the escape velo...

#Hi, I''m planning to derive the escape velocity through C++. I would just like to know if it''s possible to differentiate symbolic functions? Do I need to download libraries,etc?

#c++, There is a pebble merchant. He sells the pebbles, that are used for s...

There is a pebble merchant. He sells the pebbles, that are used for shining the floor. His main duty is to take the length of the room’s sides. But he sometimes mistakes doing that

Help me for an programming contest .., Pebble Merchant Problem Description...

Pebble Merchant Problem Description There is a pebble merchant. He sells the pebbles, that are used for shining the floor. His main duty is to take the length of the room’s sides

C program to copy the contents of a file, C Program to copy the contents of...

C Program to copy the contents of a file: void main()    {   ifstream fin("input.txt");   ofstream fout("output.txt");   char ch;   while (fin)       {

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