import java.awt.*;

class Mandelbrot
{
    private int     nb;
    private Color[] colors;

    public Mandelbrot(int nb)
    {
	int    i;
	float  c;
	float  dc = (float) 2.0 / (float) nb;

	this.nb = nb;
	colors = new Palette(nb + 1).getColorsArray();
    }

    public Color color(double x, double y)
    {
	double x1 = 0.0, y1 = 0.0, x2, y2;

	for (int i = 0; i < nb; i++)
	    {
		if (x1 * x1 + y1 * y1 > 4)
		    return colors[i + 1];
		x2 = x1 * x1 - y1 * y1 + x;
		y2 = 2.0 * x1 * y1 + y;
		x1 = x2;
		y1 = y2;
	    }

	return colors[0];
    }
}