import java.awt.*;
import java.awt.image.*;
import javax.imageio.ImageIO;
import java.io.File;
import java.io.IOException;
class Main {
    static final int X = 1000, Y = 700;
    static BufferedImage I = new BufferedImage(X, Y, BufferedImage.TYPE_INT_RGB);
    static int[] a = new int[3];
    static WritableRaster wr;
    static void pp(double x, double t){wr.setPixel((int)x, (int)t, a);}
    static public void main( String[] args ){
        wr = I.getRaster();
        a[0]=a[1]=a[2]=0; // black background
        for(int j = 0; j<Y; ++j) for(int i = 0; i<X; ++i) wr.setPixel(i, j, a);
        a[0]=a[1]=a[2]=255; // White geodesics
        double pi = 3.141592653589793;
        {for(int j=0; j<104; ++j) {double th = 2*j*pi/104;
           double xd=Math.cos(th)/5, td=Math.sin(th)/5, x = X/2, t = -Y/2;
           while(x>0&&x<X&&-t>1&&-t<Y) {pp(x, -t); x +=xd; t+=td;
             xd+= 2*td*xd/t; td+=(td*td+xd*xd)/t;}}}
        a[1]=a[2]=100; // reddish X axis:
        for(double x = 0; x<X; ++x) pp(x, 0);
        try {ImageIO.write(I, "png", new File("g.png"));}
        catch (IOException e) {System.out.println("nogo");}}}