/*  T01n08.java -- Time for a story!
 *
 *  One day a traveller arrives in the kingdom and is greeted by the king.
 *  The traveller arranges to teach the king a new game called "tic-tac-toe",
 *  and the king is so delighted by the new game that he offers the traveller
 *  any reward he wishes.  The traveller merely asks the king for 1 cent
 *  for the first square on the board, 2 cents for the second, 4
 *  cents for the third, etc.  The king is amazed that the traveller asks
 *  so little for this knowledge, but agrees to pay.  This program
 *  determines how much the king agreed to pay.
 *
 *  This program demonstrates a while loop, as well as output formatting
 *  with the printf() statement.
 *
 *  Something else to note:  The program doesn't just display the answer;
 *  it shows the intermediate results, too.  This is very useful information
 *  to have when you are debugging your code.  Without it, if you had an
 *  off-by-one error in your loop, you could report a total of $10.23
 *  without being aware of the error.  The extra printing can be easily
 *  commented-out when you feel that the code is working correctly.  Why
 *  not just delete it?  Because what usually happens is this:  As soon as
 *  your testing code is removed, you'll notice another bug!
 */

public class T01n08
{
    public static void main (String [] args)
    {
        final int NUM_SQUARES = 9;   // squares on a tic-tac-toe board

        float currentSum,    // total worth of the squares considered so far
              currentValue;  // value of the square being considered
        int   square;        // identifier of the square being considered

        currentValue = 1;
        currentSum = 1;      // sum is 1 *after* considering square 1

        System.out.println("Square\t  Cost\t Total");
        System.out.printf("%6d\t%6.1f\t%6.1f\n",1,currentValue,currentSum);

        square = 2;                         // start the loop with square 2
        while (square <= NUM_SQUARES)
        {
                currentValue = currentValue * 2;
                currentSum = currentSum + currentValue;
                System.out.printf("%6d\t%6.1f\t%6.1f\n",square,currentValue,
                                                        currentSum);
                square = square + 1;
        }

        square = square - 1;
        currentSum = currentSum / 100;	// convert from cents to dollars
        System.out.println("The sum to be paid for " + square + " squares"
	                 + " is $" + currentSum + ".");
    }
}