/*
   There's something funny about this program (not that there are any
   errors), which concerns the nature of OOP in C++/Java/C#.  In
   particular, pay attention to the usage of "public" and "private".
   Don't take everything about these languages for granted!  Think
   about possible alternatives.  
*/

class fraction
{
    
    private int numerator;
    private int denominator;
    private int gcd(int a, int b) 
      { if (a==0) return b; else return gcd(b%a,a); } // euclid's alg

    public fraction(int n, int d)  // constructor
    {
       if (d==0) d = 1;
       int cd = gcd(n,d);  // common divisor  
       numerator = n/cd;
       denominator = d/cd;
    }

    // check if one fraction is equal to another fraction:
    boolean equals(fraction f)
    {
       return numerator*f.denominator == denominator*f.numerator;
    }

    // multiply fractions
    fraction mult(fraction f)
    {
       return 
        new fraction(numerator*f.numerator,denominator*f.denominator);
    }
};   // end of class fraction


public class rrr
{
 public static void main(String[] args)
 {
  fraction f1, f2, f3;
  f1 = new fraction(1,3);
  f2 = new fraction(2,5);
  f3 = f1.mult(f2);
  if (f3.equals(new fraction(2,15))) 
     System.out.print("nice program!\n");
 }
}