In C$++$

Problem $1.$ Month Class

Design a class named Month. The class should have the following private members:

$$ name $-$ A string object that holds the name of a month, such as $$January$,$February$,$ etc.

$$ monthNumber $-$ An integer variable that holds the number of the month. For example, January would be $1,$ February would be $2,$ etc. Valid values for this variable are $1$ through $12.$

In addition, provide the following member functions:

$$ A default constructor that sets monthNumber to $1$ and name to $$January$.$

$$ A constructor that accepts the name of the month as an argument. It should set name to the value passed as the argument and set monthNumber to the correct value.

$$ A constructor that accepts the number of the month as an argument. It should set monthNumber to the value passed as the argument and set name to the correct month name.

$$ Appropriate set and get functions for the name and monthNumber member variables.

$$ A method incMonth to increase the monthnumber and the name of the next month. If monthNumber is set to $12$ when the function executes, it should set monthNumber to $1$ and name to $$January$.$