/*
 * Parke Godfrey 2009-10-22
 * 
 * Reads in a list of fractions, prompting the user for each.
 * Finds the fraction with the smallest denominator and the
 * fraction with the largest denominator acros the list,
 * considering the fractions in reduced form.  It also reports
 * whether the fraction with the smallest denominator is smaller than,
 * the same size as, or larger than the one with the largest denominator.
 */
import java.io.PrintStream;
import java.util.Scanner;
import type.lib.Fraction;

public class FractionAction
{
    public static void main(String[] args)
    {
        PrintStream output = System.out;
        Scanner input = new Scanner(System.in);
        
        output.println("Number of fractions to enter?");
        int total = input.nextInt();
        
        // Get the first fraction from the user.
        // This is the fraction with both the smallest and largest denominator
        // we have seen so far!
        output.println("Enter fraction #1 (numerator denominator): ");
        Fraction smallestDenom = new Fraction(input.nextLong(), 
                                             input.nextLong());
        Fraction largestDenom = smallestDenom;
        
        // Read the rest of the fractions.  Check each to see if
        // it should be the new smallest or largest denominator fraction.
        // Note that Fraction keeps the fraction in reduced form,
        // so we do not have to do this ourselves.
        for (int i = 2; i <= total; i++)
        {
            output.println("Enter fraction #"
                            + i
                            + " (numerator denominator): ");
            Fraction frac = new Fraction(input.nextLong(), 
                                        input.nextLong());
            if (frac.getDenominator() < smallestDenom.getDenominator())
            {
                smallestDenom = frac;
            }
            if (frac.getDenominator() > largestDenom.getDenominator())
            {
                largestDenom = frac;
            }
        }
        
        output.println("The fraction with the smallest denominator seen was "
                        + smallestDenom
                        + "."); 
        output.println("The fraction with the largest denominator seen was "
                        + largestDenom
                        + ".");
        
        if (smallestDenom.compareTo(largestDenom) < 0)
        {
            output.println(smallestDenom
                            + " is smaller than "
                            + largestDenom
                            + ".");
        } else if (smallestDenom.compareTo(largestDenom) > 0)
        {
            output.println(smallestDenom
                    + " is larger than "
                    + largestDenom
                    + ".");
        } else {
            output.println(smallestDenom
                    + " is the same as "
                    + largestDenom
                    + ".");
        }
    }
}