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

public class GuessingGame
{
   public static void main(String[] args)
   {
      PrintStream output = System.out;
      Scanner input = new Scanner(System.in);
      
      output.print("Enter the test fraction denominator ... ");
      long den = input.nextLong();
      final long MIN_DENOM = 1;
      final long MAX_DENOM = 40;
      ToolBox.crash(den < MIN_DENOM || den > MAX_DENOM,
                    "Denominator out of range.");
      final Fraction TEST = new Fraction(1, den);
      output.print("The test fraction is ");
      output.println(TEST);
      output.println();
      
      final int MAX_GUESSES = 3;
      boolean stillGuessing = true;
      for (int i = 1; i <= MAX_GUESSES && stillGuessing; i++)
      {
         output.printf("Enter guess %d ... ", i);
         long num = input.nextLong();
         den = input.nextLong();
         Fraction f = new Fraction(num, den);
         output.print(f);
         if (f.compareTo(TEST) < 0)
         {
            output.println(" is too small.");
            output.println();
         }
         else if (f.compareTo(TEST) > 0)
         {
            output.println(" is too big.");
            output.println();
         }
         else
         {
            output.println(" is correct!");
            stillGuessing = false;
         }
      }
      if (stillGuessing)
      {
         output.print("Sorry, out of guesses. The fraction was ");
         output.println(TEST);
      }
   }
}