Option 3: Have Routines Other Than paint Directly Do Drawing Operations

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

/** Draw "rubberband" rectangles when the user drags the mouse. */

public class Rubberband extends Applet {
  private int startX, startY, lastX, lastY;
  
  public void init() {
    addMouseListener(new RectRecorder());
    addMouseMotionListener(new RectDrawer());
    setBackground(Color.white);
  }  

  /** Draw the rectangle, adjusting the x, y, w, h
   *  to correctly accomadate for the opposite corner of the 
   *  rubberband box relative to the start position
   */
  private void drawRectangle(Graphics g, int startX, int startY,
                             int stopX, int stopY ) {
    int x, y, w, h;
    x = Math.min(startX, stopX);
    y = Math.min(startY, stopY);
    w = Math.abs(startX - stopX);
    h = Math.abs(startY - stopY);
    g.drawRect(x, y, w, h);
  }

  private class RectRecorder extends MouseAdapter {
    /** When the user presses the mouse, record the
     *  location of the top-left corner of rectangle.
     */
    public void mousePressed(MouseEvent event) {
      startX = event.getX();
      startY = event.getY();
      lastX = startX;
      lastY = startY;
    }

    /** Erase the last rectangle when the user releases
     *  the mouse.
     */
    public void mouseReleased(MouseEvent event) {
      Graphics g = getGraphics();
      g.setXORMode(Color.lightGray);
      drawRectangle(g, startX, startY, lastX, lastY);
    }
  } // End RectRecorder inner class

  private class RectDrawer extends MouseMotionAdapter {
    /** This draws a rubberband rectangle, from the location 
     *  where the mouse was first clicked to the location
     *  where the mouse is dragged.
     */
    public void mouseDragged(MouseEvent event) {
      int x = event.getX();
      int y = event.getY();

      Graphics g = getGraphics();
      g.setXORMode(Color.lightGray);
      drawRectangle(g, startX, startY, lastX, lastY);
      drawRectangle(g, startX, startY, x, y);

      lastX = x;
      lastY = y;
    }
  } // End RectDrawer inner class
}