import java.io.PrintStream;
import type.lib.Fraction;
import type.lib.ToolBox;

public class E
{
   public static void main(String[] args)
   {
      PrintStream out = System.out;
      
      Fraction e = new Fraction(2, 1);
      
      final long F2 = Math.round(ToolBox.factorial(2));
      final long F3 = Math.round(ToolBox.factorial(3));
      final long F4 = Math.round(ToolBox.factorial(4));
      final long F5 = Math.round(ToolBox.factorial(5));
      final long F6 = Math.round(ToolBox.factorial(6));
      final long F7 = Math.round(ToolBox.factorial(7));
      
      e.add(new Fraction(1, F2));
      e.add(new Fraction(1, F3));
      e.add(new Fraction(1, F4));
      e.add(new Fraction(1, F5));
      e.add(new Fraction(1, F6));
      e.add(new Fraction(1, F7));
      
      double taylor = (double) e.getNumerator() / e.getDenominator();
      
      out.printf("Taylor series: %f%n", taylor);
      out.printf("Math.exp(1)  : %f%n", Math.exp(1));
   }
}