import java.io.*;
import java.util.*;
import type.lib.*;

public class GeometricSeries
{
   public static void main(String[] args)
   {
      PrintStream output = System.out;
      Scanner input = new Scanner(System.in);
      
      output.println("Enter a fraction that is greater than 0 and less than 1:");
      long num = input.nextLong();
      long den = input.nextLong();
      final Fraction F = new Fraction(num, den);
      
      final Fraction ZERO = new Fraction(0, 1);
      final Fraction ONE = new Fraction(1, 1);
      final long MAX_DEN = 5;
      ToolBox.crash(F.compareTo(ZERO) < 0, "Fraction is less than 0");
      ToolBox.crash(F.compareTo(ONE) >= 0, "Fraction is bigger than or equal to 1");
      ToolBox.crash(F.getDenominator() > MAX_DEN, "Denominator is too large");
      
      output.println("Enter the number of terms to sum:");
      int terms = input.nextInt();
      
      final int MIN_TERMS = 1;
      final int MAX_TERMS = 25;
      if (terms < MIN_TERMS)
      {
         terms = MIN_TERMS;
      }
      else if (terms > MAX_TERMS)
      {
         terms = MAX_TERMS;
      }
      
      double sum = 0.0;
      for (int i = 0; i < terms; ++i)
      {
         Fraction fi = new Fraction(F.getNumerator(), F.getDenominator());
         fi.pow(i);
         output.printf("%2d : ", i + 1);
         output.println(fi);
         sum += (double) fi.getNumerator() / fi.getDenominator();
      }
      output.printf("The sum using %d terms is ", terms);
      output.println(sum);
   }
}