Consider the following class Time, which represents a time using three ints for hour, minute and second: class Time { private: int hour; int min; int sec; public: Time() { hour = min = sec = 0; }...

Consider the following class Time, which represents a time using three ints for hour, minute and second:

class Time { private: int hour; int min; int sec; public: Time() { hour = min = sec = 0; } Time(int h, int m, int s) { hour = h; min = m; sec = s; } bool operator==(Time&); Time operator++(); void displayTime(); };

Time objects use a 24 hour clock.  You may assume that all objects of class Time are valid, i.e. hour is between 0 and 23, inclusive; and both min and sec are between 0 and 59, inclusive.

Write C++ code to do the following:

1. Implement the two overloaded operators for the class Time above:

• theis equal operator == should return true if the Time objects are equivalent and false if not.


• theprefix increment operator ++ should increment the Time object by one second.  Note that this is quite simple for most times, but you do have to account for the cases where sec and/or min are 59.  If the time is 23:59:59, it should increment to 0:0:0.  At the end of the function, return *this.

2. Implement displayTime() for the class Time above.  It should output the object's time in format hour:minute:second.  You don't need to make the formatting pretty.

3. Write a simple main() function which demonstrates that your class works properly by doing the following:

• Create two valid Time objects. They should be the same time.  The names of the objects and the time to use are up to you.


• Call displayTime() for each of the objects to output their time.


• Demonstrate that the == operator works by comparing the two time objects and printing out what it returns (it should be 1 for true).


• Demonstrate that the ++ operator works by calling it onone of the Time objects.  Note you have implemented theprefix increment, so if your Time object is t, you can do ++t but not t++.


• Once again, call displayTime() for each of the objects to output their time.


• Once again, demonstrate that the == operator works by comparing the two times and printing out what it returns (it should be 0 for false now).