// Note that some helper functions and methods are included in the header
// file due to some strange C++ bugs in some versions of Visual.

static bool timeIsValid (int hrs, int mins, int secs) {

  return (hrs >= 0) &&
         (mins >= 0) && (mins <= 59) &&
         (secs >= 0) && (secs <= 59);

}


static int convertToTotalSecs (int hrs, int mins, int secs) {

  return (hrs * 3600) + (mins * 60) + secs;

}


static void convertFromTotalSecs (int totalSecs,
                                  int &hrs, int &mins, int &secs) {

  hrs = totalSecs / 3600;
  mins = (totalSecs / 60) % 60;
  secs = totalSecs % 60;

}

class Time {


private:


  int totalSecs;


public:

  Time ();  // default constructor: sets time to 00:00:00

  // if the time is invalid, throws an invalid_argument exception
  Time (int h, int m, int s);

  // if the time entered is invalid, sets the failure flag for the input stream
  friend istream& operator>> (istream &is, Time &time) {

     int hrs, mins, secs;

     is >> hrs >> mins >> secs;

     if (is.fail() || !timeIsValid (hrs, mins, secs)) {
       // we've a problem - either the read didn't work at all
       // or the numbers we got aren't valid
       is.clear (is.rdstate() | ios::failbit); // make sure the fail bit is set
       time.totalSecs = 1; // leave the object containing 00:00:00
       return is;
     }

     time.totalSecs = convertToTotalSecs (hrs, mins, secs);

     return is;

  }

  friend ostream& operator<< (ostream &os, const Time &time) {

     int hrs, mins, secs;

     convertFromTotalSecs (time.totalSecs, hrs, mins, secs);

     os << setfill('0') << setw(2) << hrs << ":" << setw(2) << mins
        << ":" << setw(2) << secs << setfill(' ');

     return os;
       
  }

  // throws an invalid_argument exception is the other time isn't
  // earlier than the time being operated upon.
  Time timeAfter (const Time &otherTime) const;

  // throws an invalid_argument exception if the multiplier is negative.
  void multiplyBy (double x);

  bool operator== (const Time &otherTime) const
    { return totalSecs == otherTime.totalSecs; }

  bool operator< (const Time &otherTime) const
    { return totalSecs < otherTime.totalSecs; }

  bool operator> (const Time &otherTime) const
    { return totalSecs > otherTime.totalSecs; }

  bool operator>= (const Time &otherTime) const
    { return totalSecs >= otherTime.totalSecs; }

  bool operator<= (const Time &otherTime) const
    { return totalSecs <= otherTime.totalSecs; }



};