如何使用arraylist存储坐标，以便在固定区域中绘制不同颜色的随机点？

import java.awt.*;
import java.util.ArrayList;
import java.util.Random;

public class CoordinateDrawer {
    private static final int AREA_WIDTH = 800;  // 固定区域宽度
    private static final int AREA_HEIGHT = 600; // 固定区域高度

    public static void main(String[] args) {
        ArrayList<Point> coordinates = new ArrayList<>();

        // 生成随机坐标
        Random random = new Random();
        for (int i = 0; i < 100; i++) {
            int x = random.nextInt(AREA_WIDTH);
            int y = random.nextInt(AREA_HEIGHT);
            coordinates.add(new Point(x, y));
        }

        // 绘制坐标点
        drawCoordinates(coordinates);
    }

    private static void drawCoordinates(ArrayList<Point> coordinates) {
        // 创建绘图窗口
        Frame frame = new Frame("Coordinate Drawer");
        frame.setSize(AREA_WIDTH, AREA_HEIGHT);
        frame.setVisible(true);

        // 绘制坐标点
        Graphics graphics = frame.getGraphics();
        for (Point coordinate : coordinates) {
            int x = coordinate.x;
            int y = coordinate.y;

            // 生成随机颜色
            Color color = generateRandomColor();
            graphics.setColor(color);

            // 绘制点
            graphics.fillRect(x, y, 5, 5);
        }
    }

    private static Color generateRandomColor() {
        Random random = new Random();
        int r = random.nextInt(256);
        int g = random.nextInt(256);
        int b = random.nextInt(256);
        return new Color(r, g, b);
    }
}