import java.applet.Applet;
import java.awt.*;

public class Mandelbrot extends Applet {
  public void paint(Graphics g) {
    for (int xp = -225; xp <= 75; xp=xp+1)
      for (int yp = -125; yp <= 125; yp=yp+1) {
	int iter = divergence(xp, yp);
	if (iter >= 80) 
	  g.setColor(Color.black);
	else
	  g.setColor(new Color(255-iter, 255-3*iter, 160-2*iter));
	g.fillRect(250+xp, 150+yp, 1, 1);
      }
  }

  static int divergence(int xp, int yp) {
    double x, y, cx, cy;
    x = cx = 0.01 * xp;
    y = cy = 0.01 * yp;
    int iter = 0;
    while (Math.abs(x) + Math.abs(y) < 50 && iter < 80) { 
      double tmp = square(x) - square(y) + cx;
      y = 2 * x * y + cy;
      x = tmp;
      iter = iter+1;
    }
    return iter;
  }

  static double square(double x) { return x * x; }
}