// .a.out 23:25 dms q as demo input

#include <boost/regex.hpp>
#include <cstring>
#include <iostream>
using namespace std;

class Time {
  public:

    Time();

    bool Parse(string time) {
               hours = 0;
               minutes = 0;
               boost::regex xRegEx1("^([0-2][0-9])([0-5][0-9])(\\s[AP]M)");
               boost::smatch xResults;
               if (!boost::regex_match(time, xResults, xRegEx1)) {
                   hours = strtol(xResults[1].str().c_str(), NULL, 10);
                   minutes = strtol(xResults[2].str().c_str(), NULL, 10);
                   if (strcmp(xResults[3].str().c_str(), "PM")==0)  hours = hours + 12;
                   return true;
               } else return false;
    }

    int GetHours () {
        return hours;
    }

    int GetMinutes() {
        return hours;
    }

    private:
     int hours;
     int minutes;
};


class AnalogClock {
   public:
      AnalogClock(Time* atime) {
      t = *atime;
      }

      float GetAngle() {
         angle = 0;
         int hours = t.GetHours();
         if (hours>12) hours = hours - 12;
         int minutes = t.GetMinutes();
         if (minutes==0) angle = abs(hours*30-minutes*6);
         else angle = abs((hours+1/minutes)*30-minutes*6);
         if (angle>180) angle=abs(180-angle);
         return angle;
        }

    private:
        float angle;
        Time t;
};


class QuartzClock {
   public:
      QuartzClock(Time* qtime) {
      t = *qtime;
    }

      float GetAngle() {
        angle = 0;
        int hours = t.GetHours();
        if (hours>12) hours = hours - 12;
        int minutes = t.GetMinutes();
        angle = abs(hours*30-minutes*6); if (angle>180) angle=abs(180-angle);
        return angle;
        }

    private:
        float angle;
        Time t;
};


char convert_angle(float angle, const char* tformat) {
        char angle1 [50];
        if (strcmp(tformat,"deg")!=0) {
            sprintf (angle1, "%f", angle);
            }
        if (strcmp(tformat,"rad")!=0) {
            angle=angle*(M_PI)/180;
            sprintf (angle1, "%f", angle);
            }
        if (strcmp(tformat,"dms")!=0) {
            int hrs = int(angle+0.5);
            int minst = (angle-floor(angle))*60;
            int mins = int(minst+0.5);
            int secst = (minst-floor(minst))*60;
            int secs = int(secst+0.5);
            sprintf (angle1, "%d.%d'%d\"", hrs, mins, secs);
        }
    return angle1;
    }


int main(int argc, char *argv[])
{
Time t;
t.Parse(argv[1]);
float angle;
if (strcmp(argv[3],"q")!=0)  {
    QuartzClock c(&t);
    angle = c.GetAngle();
    }
if (strcmp(argv[3],"a")!=0)  {
    AnalogClock c(&t);
    angle = c.GetAngle();
    }
char angle1 = convert_angle(angle, argv[2]);
cout<<"Time is "<<t.GetHours()<<" hours and "<<t.GetMinutes()<<" minutes.\n";
cout<<"Natural angle is: "<<angle<<"\n";
cout<<"Converted angle is: "<<angle1<<"\n";
}