import java.util.Random;
import java.text.NumberFormat;

public class l8
{
	public static void main(String[] args)
	{

		final int POINT = 2;
		double cX = 1.00000000, cY = 1.00000000;
		double y = 0.00000000, x = 0.00000000, hit = 0.00000000, miss = 0.00000000;
		double  estPI = 0.0;
		double mathPI = Math.PI/4;
		
		Random generator = new Random();
		NumberFormat formatter = NumberFormat.getNumberInstance();
		formatter.setMaximumFractionDigits(9);

		for(int i = 1; i <= 20000; i++)
		{
		        x = generator.nextDouble() * 2;
		        y = generator.nextDouble() * 2;

			//System.out.print("x: " + x + " y: " + y + "\t");
			double length = Math.sqrt(Math.pow(cX-x,2) + Math.pow(cY-y,2));

			if(length <= 1.0)
			{
				hit++;
			}
			else
			{
				miss++;
			}
			estPI = (4 * hit)/i;
			

			if((i%1000)==0)
			{
				//System.out.print("Hits:  " + hit + " Miss: " + miss + " Total: " + i);
				System.out.println("After " + i + " darts the estimated value of PI is " + 
				  formatter.format(estPI));
			}
		}	
		
		System.out.println("\n\nComputer Value of PI for Math.PI is " + Math.PI);
		double diff = Math.abs(Math.PI - estPI);
		System.out.println("The absolute value difference between Math.PI and my final estimate value for PI is " + diff);
	}
}