1. (35 pts) Write a C++ program A4p2.cpp with a class of your own design. The class should contain a protected int member variable var, which is initialized with an integer value between 1 and 50 in a constructor that takes an integer parameter. The class should contain a public member function called play that should print out a sequence of integers as a result of iteratively applying a math function f to the member variable var together with the length of this sequence. The function f is defined as f(x)=(3x+1)/2 if x is odd and f(x)=x/2 if x is even. Stop the iteration when the value 1 is reached. (Example: When var is 6, the play functions output sequence should be 6,3,5,8,4,2,1 and the length of this sequence is 7.) In your main function create an object of this class whose member var should be initialized through constructor with the first command line argument to your program (i.e., argv[1]) and then call the play member function on the object. You can check whether the supplied first command line argument is an integer between 1 and 50 in your main function. A sample run can look like the following. Submit source code A4p2.cpp and you dont need to submit a screen shot.

[kwang@computer][~/temp]$./A4p2 6

6 3 5 8 4 2 1

Length of the sequence: 7