Define a class called Monththat is an abstract data type for a month. Your class will have one member variable of type intto represent a month (1 for January, 2 for February, and so forth). Include all the following member functions: a. a constructor to set the month using the first three letters in the name of the month, b. an input function that reads the month as an integer, c.an output function that outputs the month as an integer, d. an output function that outputs the month as the first three letters in the name of the month, and e. a member function that returns the next month as a value of type Month. The input and output functions will each have one formal parameter for the stream. Therefore, you can invoke the input or output function with either the console I/O or file I/O objects. Embed your class definition in a test program.