// draw N-by-N percolation system
  public static void draw(Percolation perc, int N) {
    StdDraw.clear();
    StdDraw.setPenColor(StdDraw.BLACK);
    StdDraw.setXscale(-.05 * N, 1.05 * N);
    StdDraw.setYscale(-.05 * N, 1.05 * N); // leave a border to write text
    StdDraw.filledSquare(N / 2.0, N / 2.0, N / 2.0);

    // draw N-by-N grid
    int opened = 0;
    for (int row = 1; row <= N; row++) {
      for (int col = 1; col <= N; col++) {
        if (perc.isFull(row, col)) {
          StdDraw.setPenColor(StdDraw.BOOK_LIGHT_BLUE);
          opened++;
        } else if (perc.isOpen(row, col)) {
          StdDraw.setPenColor(StdDraw.WHITE);
          opened++;
        } else StdDraw.setPenColor(StdDraw.BLACK);
        StdDraw.filledSquare(col - 0.5, N - row + 0.5, 0.45);
      }
    }

    // write status text
    StdDraw.setFont(new Font("SansSerif", Font.PLAIN, 12));
    StdDraw.setPenColor(StdDraw.BLACK);
    StdDraw.text(.25 * N, -N * .025, opened + " open sites");
    if (perc.percolates()) StdDraw.text(.75 * N, -N * .025, "percolates");
    else StdDraw.text(.75 * N, -N * .025, "does not percolate");
  }
  public static void main(String[] args) {

    String filename = args[0];
    In in = new In(filename);

    StdDraw.show(0);

    // initialize the data structures with N points from standard input
    PointSET brute = new PointSET();
    KdTree kdtree = new KdTree();
    while (!in.isEmpty()) {
      double x = in.readDouble();
      double y = in.readDouble();
      Point2D p = new Point2D(x, y);
      kdtree.insert(p);
      brute.insert(p);
    }

    double x0 = 0.0, y0 = 0.0; // initial endpoint of rectangle
    double x1 = 0.0, y1 = 0.0; // current location of mouse
    boolean isDragging = false; // is the user dragging a rectangle

    // draw the points
    StdDraw.clear();
    StdDraw.setPenColor(StdDraw.BLACK);
    StdDraw.setPenRadius(.01);
    brute.draw();

    while (true) {
      StdDraw.show(40);

      // user starts to drag a rectangle
      if (StdDraw.mousePressed() && !isDragging) {
        x0 = StdDraw.mouseX();
        y0 = StdDraw.mouseY();
        isDragging = true;
        continue;
      }

      // user is dragging a rectangle
      else if (StdDraw.mousePressed() && isDragging) {
        x1 = StdDraw.mouseX();
        y1 = StdDraw.mouseY();
        continue;
      }

      // mouse no longer pressed
      else if (!StdDraw.mousePressed() && isDragging) {
        isDragging = false;
      }

      RectHV rect =
          new RectHV(Math.min(x0, x1), Math.min(y0, y1), Math.max(x0, x1), Math.max(y0, y1));
      // draw the points
      StdDraw.clear();
      StdDraw.setPenColor(StdDraw.BLACK);
      StdDraw.setPenRadius(.01);
      brute.draw();

      // draw the rectangle
      StdDraw.setPenColor(StdDraw.BLACK);
      StdDraw.setPenRadius();
      rect.draw();

      // draw the range search results for brute-force data structure in
      // red
      StdDraw.setPenRadius(.03);
      StdDraw.setPenColor(StdDraw.RED);
      for (Point2D p : brute.range(rect)) p.draw();

      // draw the range search results for kd-tree in blue
      StdDraw.setPenRadius(.02);
      StdDraw.setPenColor(StdDraw.BLUE);
      for (Point2D p : kdtree.range(rect)) p.draw();

      StdDraw.show(40);
    }
  }