import javax.imageio.ImageIO;
import java.awt.*;
import java.awt.image.*;
import java.io.File;
import java.io.IOException;

class Main {
 static final int X = 512, Y = 512;
 static final double pi = Math.PI;
 static BufferedImage I =
    new BufferedImage(X, Y, BufferedImage.TYPE_BYTE_GRAY);
 static int shd(int n){if(n<144) return 0;
   if(n<160) return (n-144)*0x101010;
   if(n<305) return 0xffffff;
   return (320-n)*0x101010;}

static public void main( String[] args ){
   int deep = Integer.parseInt(args[0]);
   for (int i = 0; i<X; ++i) for(int j=0; j<Y; ++j) {
      double x=pi*i/X-pi/2, t = pi*j/Y-pi/2;
      double s = 0; int n=deep;
      while(n-->0) if((n&1)>0) s += Math.cos(n*x)*Math.cos(n*t)/(n*n);
      int sx = (int)(8./(pi*pi)*s*12*320);
      I.setRGB(i, j, shd(sx % 320));}
   Frame f = new Frame( "plucked string" );
   f.add("Center", new MainCanvas());
   f.setSize(new Dimension(X,Y+22));
   f.setVisible(true);
   if(args.length > 1) try {
      File file = new File(args[1]);
      ImageIO.write(I, "png", file );}
   catch (IOException e) {System.err.println("image not saved.");}
}}

class MainCanvas extends Canvas{
    public void paint(Graphics g){
        g.drawImage(Main.I, 0, 0, Color.red, null);}}