diff --git a/assets/images/body.webp b/assets/images/body.webp
new file mode 100644
index 0000000..662e67a
Binary files /dev/null and b/assets/images/body.webp differ
diff --git a/assets/images/hand.webp b/assets/images/hand.webp
new file mode 100644
index 0000000..b251dd5
Binary files /dev/null and b/assets/images/hand.webp differ
diff --git a/lib/navigation/router/menus/menu_scope/menu_scope.dart b/lib/navigation/router/menus/menu_scope/menu_scope.dart
index 9b19280..bc9d817 100644
--- a/lib/navigation/router/menus/menu_scope/menu_scope.dart
+++ b/lib/navigation/router/menus/menu_scope/menu_scope.dart
@@ -62,6 +62,8 @@ class MenuStore with ChangeNotifier {
       ?.label;
 
   void selectMenuPath(String path) {
+
+
     MenuNode root = MenuNode(
       path: '',
       label: '',
@@ -83,7 +85,7 @@ class MenuStore with ChangeNotifier {
       }else{
         _shouldAddHistory = true;
       }
-
+      print("=====selectMenuPath: ${result.last.path}===============");
       _state = state.copyWith(
           activeMenu: result.last.path, expandMenus: expandMenus);
     }
@@ -160,10 +162,10 @@ class MenuStore with ChangeNotifier {
 
   void select(MenuNode menu) {
     bool hasHistory = _history.where((e) => e.menuPath==menu.path).isNotEmpty;
+    print("=====select: ${hasHistory}===============");
     if(hasHistory){
       _shouldAddHistory = false;
-      selectMenuPath(menu.path);
-      notifyListeners();
+      goRouter.go(menu.path);
       return;
     }
 
diff --git a/lib/navigation/router/routers/draw.dart b/lib/navigation/router/routers/draw.dart
index 6a9ddb4..8542133 100644
--- a/lib/navigation/router/routers/draw.dart
+++ b/lib/navigation/router/routers/draw.dart
@@ -63,6 +63,15 @@ final RouteBase drawRouters = GoRoute(
       case '18':
         child = const P18Page();
         break;
+      case '19':
+        child = const P19Page();
+        break;
+      case '20':
+        child = const P20Page();
+        break;
+        case '21':
+        child = const P21Page();
+        break;
     }
 
     return CustomTransitionPage(
diff --git a/lib/navigation/views/top_bar.dart b/lib/navigation/views/top_bar.dart
index def4058..e8f824c 100644
--- a/lib/navigation/views/top_bar.dart
+++ b/lib/navigation/views/top_bar.dart
@@ -117,9 +117,6 @@ class _RouterIndicatorState extends State<RouterIndicator> {
     if(matches.isEmpty) return const SizedBox();
     RouteMatch match = _delegate.currentConfiguration.matches.last;
 
-    print(
-        "=========_RouterIndicatorState:build==${match.matchedLocation}========");
-
     return TolyBreadcrumb(
       fontSize: 12,
       items: pathToBreadcrumbItems(context, match.matchedLocation),
diff --git a/packages/idraw/lib/idraw.dart b/packages/idraw/lib/idraw.dart
index 291f0f6..72651d5 100644
--- a/packages/idraw/lib/idraw.dart
+++ b/packages/idraw/lib/idraw.dart
@@ -18,3 +18,6 @@ export 'p15/p15.dart';
 export 'p16/p16.dart';
 export 'p17/p17.dart';
 export 'p18/p18.dart';
+export 'p19/p19.dart';
+export 'p20/p20.dart';
+export 'p21/p21.dart';
diff --git a/packages/idraw/lib/p18/p18_page.dart b/packages/idraw/lib/p18/p18_page.dart
index e7f6df5..c1f73ab 100644
--- a/packages/idraw/lib/p18/p18_page.dart
+++ b/packages/idraw/lib/p18/p18_page.dart
@@ -20,7 +20,7 @@ class P18Page extends StatelessWidget {
         s2.Paper(),
         s3.Paper(),
         s4.Paper(),
-        // s5.Paper(),
+        s5.Paper(),
       ],
     );
   }
diff --git a/packages/idraw/lib/p18/s05.dart b/packages/idraw/lib/p18/s05.dart
index 4c253ac..481c21d 100644
--- a/packages/idraw/lib/p18/s05.dart
+++ b/packages/idraw/lib/p18/s05.dart
@@ -98,9 +98,10 @@ class _WorldState extends State<World> with SingleTickerProviderStateMixin {
     for (int i = 0; i < imageSrc.width; i++) {
       for (int j = 0; j < imageSrc.height; j++) {
         image.PixelUint8 pixel = imageSrc.getPixel(i, j) as image.PixelUint8;
+        var color = Color.fromARGB(pixel.a.toInt(),pixel.r.toInt(),pixel.g.toInt(),pixel.b.toInt());
+        print('-($i,$j)----${color.value}---------------');
 
-        if (pixel.toString() != '(255, 255, 255, 0)') {
-          // print('-($i,$j)----${imageSrc.getPixel(i, j)}---------------');
+        if (color.value == 4278190080) {
 
           Particle particle = Particle(
               x: i * 1.0+ offsetX,
@@ -115,9 +116,7 @@ class _WorldState extends State<World> with SingleTickerProviderStateMixin {
         }
       }
     }
-    setState(() {
-
-    });
+    pm.tick();
   }
 }
 
diff --git a/packages/idraw/lib/p19/p19.dart b/packages/idraw/lib/p19/p19.dart
new file mode 100644
index 0000000..e697916
--- /dev/null
+++ b/packages/idraw/lib/p19/p19.dart
@@ -0,0 +1 @@
+export 'p19_page.dart';
\ No newline at end of file
diff --git a/packages/idraw/lib/p19/p19_page.dart b/packages/idraw/lib/p19/p19_page.dart
new file mode 100644
index 0000000..ed1cae7
--- /dev/null
+++ b/packages/idraw/lib/p19/p19_page.dart
@@ -0,0 +1,21 @@
+import 'package:flutter/material.dart';
+
+import 'package:components/components.dart';
+import 's01.dart' as s1;
+import 's02.dart' as s2;
+
+class P19Page extends StatelessWidget {
+  const P19Page({super.key});
+
+  @override
+  Widget build(BuildContext context) {
+    return const DemoShower(
+      srcCodeDir: 'draw/p19',
+
+      demos:  [
+        s1.Paper(),
+        s2.Paper(),
+      ],
+    );
+  }
+}
diff --git a/packages/idraw/lib/p19/s01.dart b/packages/idraw/lib/p19/s01.dart
new file mode 100644
index 0000000..15424b5
--- /dev/null
+++ b/packages/idraw/lib/p19/s01.dart
@@ -0,0 +1,301 @@
+import 'dart:math';
+
+import 'dart:ui' as ui;
+
+import 'package:flutter/material.dart';
+import 'package:flutter/services.dart';
+
+/// create by 张风捷特烈 on 2020/11/5
+/// contact me by email 1981462002@qq.com
+/// 说明:
+
+class Paper extends StatelessWidget {
+  const Paper({super.key});
+
+  @override
+  Widget build(BuildContext context) {
+    return Container(
+      color: Colors.white,
+      alignment: Alignment.center,
+      child: LayoutBuilder(
+        builder: (ctx, constraints) => World(size: constraints.biggest),
+      ),
+    );
+  }
+}
+
+class World extends StatefulWidget {
+  final Size size;
+
+  const World({Key? key, required this.size}) : super(key: key);
+
+  @override
+  _WorldState createState() => _WorldState();
+}
+
+class _WorldState extends State<World> with SingleTickerProviderStateMixin {
+  late AnimationController _controller;
+  ParticleManage pm = ParticleManage();
+  Random random = Random();
+
+  @override
+  void initState() {
+    super.initState();
+    loadImageFromAssets("assets/images/sword.png");
+    pm.size = widget.size;
+
+    initParticles();
+
+    _controller = AnimationController(
+      duration: const Duration(seconds: 1),
+      vsync: this,
+    )
+      ..addListener(pm.tick)
+      ..repeat();
+  }
+
+  @override
+  void dispose() {
+    _controller.dispose();
+    super.dispose();
+  }
+
+  theWorld() {
+    if (_controller.isAnimating) {
+      _controller.stop();
+    } else {
+      _controller.repeat();
+    }
+  }
+
+  @override
+  Widget build(BuildContext context) {
+    return Stack(
+      children: [
+        Container(
+            width: widget.size.width,
+            height: widget.size.height,
+            child: Image.asset(
+              'assets/images/bg.jpeg',
+              fit: BoxFit.cover,
+            )),
+        GestureDetector(
+          onTap: theWorld,
+          child: CustomPaint(
+            size: pm.size,
+            painter: WorldRender(
+              manage: pm,
+            ),
+          ),
+        ),
+      ],
+    );
+  }
+
+  //读取 assets 中的图片
+  void loadImageFromAssets(String path) async {
+    ByteData data = await rootBundle.load(path);
+    pm.setImage(await decodeImageFromList(data.buffer.asUint8List()));
+  }
+
+  void initParticles() {
+    for (int i = 0; i < 60; i++) {
+      Particle particle = Particle(
+          x: pm.size.width / 60 * i,
+          y: 0,
+          vx: 1 * random.nextDouble() * pow(-1, random.nextInt(20)),
+          vy: 4 * random.nextDouble() + 1);
+      pm.particles.add(particle);
+    }
+  }
+}
+
+class WorldRender extends CustomPainter {
+  final ParticleManage manage;
+
+  Paint fillPaint = Paint()
+    ..colorFilter = ColorFilter.matrix(<double>[
+      1,
+      0,
+      0,
+      0,
+      0,
+      0,
+      1,
+      0,
+      0,
+      0,
+      0,
+      0,
+      1,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0.4,
+      0,
+    ]);
+
+  Paint stokePaint = Paint()
+    ..strokeWidth = 0.5
+    ..style = PaintingStyle.stroke;
+
+  WorldRender({required this.manage}) : super(repaint: manage);
+
+  @override
+  void paint(Canvas canvas, Size size) {
+    if (manage.image == null) return;
+    // canvas.drawRect(Offset.zero&size, stokePaint);
+    manage.particles.forEach((particle) {
+      drawParticle(canvas, particle);
+    });
+  }
+
+  void drawParticle(Canvas canvas, Particle particle) {
+    fillPaint.color = particle.color;
+    if (manage.image == null) return;
+    canvas.save();
+    canvas.translate(particle.x, particle.y);
+    var dis = sqrt(particle.vy * particle.vy + particle.vx * particle.vx);
+    canvas.rotate(acos(particle.vx / dis) + pi + pi / 2);
+    canvas.drawImageRect(
+        manage.image!,
+        Rect.fromLTWH(
+            0, 0, manage.image!.width * 1.0, manage.image!.height * 1.0),
+        Rect.fromLTWH(
+            0, 0, manage.image!.width * 0.18, manage.image!.height * 0.18),
+        fillPaint);
+    canvas.restore();
+  }
+
+  @override
+  bool shouldRepaint(covariant WorldRender oldDelegate) =>
+      oldDelegate.manage != manage;
+}
+
+class ParticleManage with ChangeNotifier {
+  List<Particle> particles = [];
+  Random random = Random();
+  ui.Image? image;
+
+  void setImage(ui.Image image) {
+    this.image = image;
+    notifyListeners();
+  }
+
+  Size size;
+
+  ParticleManage({this.size = Size.zero});
+
+  void setParticles(List<Particle> particles) {
+    this.particles = particles;
+  }
+
+  void addParticle(Particle particle) {
+    particles.add(particle);
+    notifyListeners();
+  }
+
+  void tick() {
+    for (int i = 0; i < particles.length; i++) {
+      doUpdate(particles[i]);
+    }
+    notifyListeners();
+  }
+
+  void doUpdate(Particle p) {
+    p.vy += p.ay; // y加速度变化
+    p.vx += p.ax; // x加速度变化
+    p.x += p.vx;
+    p.y += p.vy;
+
+    if (p.x > size.width) {
+      p.x = size.width;
+      p.vx = -p.vx;
+    }
+
+    if (p.x < 0) {
+      p.x = 0;
+      p.vx = -p.vx;
+    }
+
+    if (p.y > size.height) {
+      p.y = 0;
+    }
+  }
+
+  void reset() {
+    particles.forEach((p) {
+      p.x = 0;
+    });
+    notifyListeners();
+  }
+
+  Color randomRGB({
+    int limitR = 0,
+    int limitG = 0,
+    int limitB = 0,
+  }) {
+    var r = limitR + random.nextInt(256 - limitR); //红值
+    var g = limitG + random.nextInt(256 - limitG); //绿值
+    var b = limitB + random.nextInt(256 - limitB); //蓝值
+    return Color.fromARGB(255, r, g, b); //生成argb模式的颜色
+  }
+}
+
+class Particle {
+  /// x 位移.
+  double x;
+
+  /// y 位移.
+  double y;
+
+  /// 粒子水平速度.
+  double vx;
+
+  // 粒子水平加速度
+  double ax;
+
+  // 粒子竖直加速度
+  double ay;
+
+  ///粒子竖直速度.
+  double vy;
+
+  /// 粒子大小.
+  double size;
+
+  /// 粒子颜色.
+  Color color;
+
+  Particle({
+    this.x = 0,
+    this.y = 0,
+    this.ax = 0,
+    this.ay = 0,
+    this.vx = 0,
+    this.vy = 0,
+    this.size = 0,
+    this.color = Colors.black,
+  });
+
+  Particle copyWith(
+          {double? x,
+          double? y,
+          double? ax,
+          double? ay,
+          double? vx,
+          double? vy,
+          double? size,
+          Color? color}) =>
+      Particle(
+          x: x ?? this.x,
+          y: y ?? this.y,
+          ax: ax ?? this.ax,
+          ay: ay ?? this.ay,
+          vx: vx ?? this.vx,
+          vy: vy ?? this.vy,
+          size: size ?? this.size,
+          color: color ?? this.color);
+}
diff --git a/packages/idraw/lib/p19/s02.dart b/packages/idraw/lib/p19/s02.dart
new file mode 100644
index 0000000..5b3a3d1
--- /dev/null
+++ b/packages/idraw/lib/p19/s02.dart
@@ -0,0 +1,473 @@
+import 'dart:convert';
+import 'dart:math';
+import 'dart:ui';
+
+// import 'dart:ui' as ui;
+import 'package:flutter/cupertino.dart';
+import 'package:flutter/material.dart';
+import 'package:flutter/scheduler.dart';
+
+/// create by 张风捷特烈 on 2020/11/5
+/// contact me by email 1981462002@qq.com
+/// 说明:
+
+class Paper extends StatelessWidget {
+  const Paper({super.key});
+
+  @override
+  Widget build(BuildContext context) {
+    return Container(
+      color: Colors.white,
+      alignment: Alignment.center,
+      child: Screen(),
+    );
+  }
+}
+
+
+
+
+final easingDelayDuration = Duration(seconds: 15);
+
+class BgFx extends ClockFx {
+  BgFx({required Size size, required DateTime time})
+      : super(
+    size: size,
+    time: time,
+    numParticles: 120,
+  );
+
+  @override
+  void tick(Duration duration) {
+    var secFrac = 1 - (DateTime.now().millisecond / 1000);
+
+    var vecSpeed = duration.compareTo(easingDelayDuration) > 0
+        ? max(.2, Curves.easeInOutSine.transform(secFrac))
+        : 1;
+
+    particles.forEach((p) {
+      p.y -= p.vy * vecSpeed;
+
+      if (p.y > height || p.y < 0 || p.life == 0) {
+        _activateParticle(p);
+      }
+    });
+
+    super.tick(duration);
+  }
+
+  void _activateParticle(Particle p) {
+    var xRnd = Rnd.getDouble(0, width / 5);
+    p.x = Rnd.getBool() ? width - xRnd : 0 + xRnd;
+    p.y = Rnd.getDouble(0, height);
+    p.a = Rnd.ratio > .95 ? Rnd.getDouble(.6, .8) : Rnd.getDouble(.08, .4);
+    p.isFilled = Rnd.getBool();
+    p.size = Rnd.getDouble(height / 20, height / 5);
+
+    p.life = 1;
+
+    p.vx = 0;
+    p.vy = Rnd.getDouble(-3, 3);
+
+    double v = Rnd.getDouble(.1, .5);
+
+    p.vx = 0;
+    p.vy *= v;
+  }
+}
+
+
+class ClockBgParticlePainter extends CustomPainter {
+  ClockFx fx;
+
+  ClockBgParticlePainter({required this.fx}) : super(repaint: fx);
+
+  @override
+  void paint(Canvas canvas, Size size) {
+    canvas.clipRect(Offset.zero&size);
+    fx.particles.forEach((p) {
+      var pos = Offset(p.x, p.y);
+
+      var paint = Paint()
+        ..color = p.color.withAlpha((255 * p.a).floor())
+        ..strokeWidth = p.size * .2
+        ..style = p.isFilled ? PaintingStyle.fill : PaintingStyle.stroke;
+
+      if (p.isFilled) {
+        var rect = Rect.fromCenter(
+          center: pos,
+          width: p.size,
+          height: p.size,
+        );
+
+        canvas.drawRect(rect, paint);
+      } else {
+        canvas.drawCircle(pos, p.size / 1.2, paint);
+      }
+    });
+  }
+
+  @override
+  bool shouldRepaint(_) => false;
+}
+
+
+final Color transparent = Color.fromARGB(0, 0, 0, 0);
+
+abstract class ClockFx with ChangeNotifier {
+  /// 可用画板宽度
+  double width = 0;
+
+  /// 可用画板盖度
+  double height = 0;
+
+  /// 宽高最小值
+  double sizeMin = 0;
+
+  /// 画板中心
+  Offset center = Offset.zero;
+
+  /// 产生新粒子的区域
+  Rect spawnArea = Rect.zero;
+
+  /// 绘制时的颜色集
+  Palette? palette;
+
+  /// 粒子集合
+  late List<Particle> particles;
+
+  /// 最大粒子数
+  int numParticles;
+
+  /// Date and time used for rendering time-specific effects.
+  DateTime time;
+
+  ClockFx({
+    required Size size,
+    required this.time,
+    this.numParticles = 5000,
+  }) {
+    this.time = time;
+
+    particles = List.filled(numParticles, Particle());
+    // growableList.length = 3;
+    palette = Palette(components: [transparent, transparent]);
+    setSize(size);
+  }
+
+  /// Initializes the particle effect by resetting all the particles and assigning a random color from the palette.
+  void init() {
+    if (palette == null) return;
+    for (int i = 0; i < numParticles; i++) {
+      var color = Rnd.getItem(palette!.components);
+      particles[i] = Particle(color: color);
+      resetParticle(i);
+    }
+  }
+
+  /// Sets the palette used for coloring.
+  void setPalette(Palette palette) {
+    this.palette = palette;
+    var colors = palette.components.sublist(1);
+    var accentColor = colors[colors.length - 1];
+    particles.where((p) => p != null).forEach((p) => p.color =
+    p.type == ParticleType.noise ? Rnd.getItem(colors) : accentColor);
+  }
+
+  /// Sets the time used for time-specific effects.
+  void setTime(DateTime time) {
+    this.time = time;
+  }
+
+  /// Sets the canvas size and updates dependent values.
+  void setSize(Size size) {
+    width = size.width;
+    height = size.height;
+    sizeMin = min(width, height);
+    center = Offset(width / 2, height / 2);
+    spawnArea = Rect.fromLTRB(
+      center.dx - sizeMin / 100,
+      center.dy - sizeMin / 100,
+      center.dx + sizeMin / 100,
+      center.dy + sizeMin / 100,
+    );
+    init();
+  }
+
+  /// Resets a particle's values.
+  Particle resetParticle(int i) {
+    Particle p = particles[i];
+    p.size = p.a = p.vx = p.vy = p.life = p.lifeLeft = 0;
+    p.x = center.dx;
+    p.y = center.dy;
+    return p;
+  }
+
+  void tick(Duration duration) {
+    notifyListeners();
+  }
+}
+
+
+/// Holds a list of colors.
+class Palette {
+
+  /// The palette's color members. All unique.
+  List<Color> components;
+
+  Palette({required this.components});
+
+  /// Creates a new palette from JSON.
+  factory Palette.fromJson(List<dynamic> json) {
+    var components = json.map((c) => Color(int.tryParse(c)!)).toList();
+    return Palette(components: components);
+  }
+}
+
+class Screen extends StatefulWidget {
+  @override
+  _ScreenState createState() => _ScreenState();
+}
+
+class _ScreenState extends State<Screen> with SingleTickerProviderStateMixin{
+  late BgFx _bgFx;
+  late Ticker _ticker;
+  Palette? _palette;
+
+  @override
+  void initState() {
+    _bgFx = BgFx(
+      size: Size(300, 200),
+      time: DateTime.now(),
+    );
+    _init();
+
+
+    super.initState();
+  }
+
+
+  @override
+  void dispose() {
+    _ticker.dispose();
+    super.dispose();
+  }
+
+
+
+  @override
+  Widget build(BuildContext context) {
+    return Center(child: Container(
+        color: Color(0xff98D9B6).withAlpha(22),
+        width: 300,
+        height: 200,
+        child: _buildBgBlurFx()));
+  }
+
+  void _init() async{
+    List<Palette> palettes = await _loadPalettes();
+    _palette = palettes[4];
+    if(_palette==null) return;
+    _bgFx.setPalette(_palette!);
+    _ticker = createTicker(_tick)..start();
+
+    setState(() {
+
+    });
+  }
+
+  Future<List<Palette>> _loadPalettes() async {
+    String data = await DefaultAssetBundle.of(context).loadString("assets/palettes.json");
+    var palettes = json.decode(data) as List;
+    return palettes.map((p) => Palette.fromJson(p)).toList();
+  }
+
+
+  Widget _buildBgBlurFx() {
+    return
+      RepaintBoundary(
+        child: Stack(
+          children: <Widget>[
+            CustomPaint(
+
+              painter: ClockBgParticlePainter(
+                fx: _bgFx,
+              ),
+              child: Container(),
+            ),
+            BackdropFilter(
+              filter: ImageFilter.blur(
+                sigmaX: 300 * .05,
+                sigmaY: 0,
+              ),
+              // filter: ImageFilter.blur(sigmaX: 0, sigmaY: 0),
+              child: Container(child: Text(" ")),
+            ),
+          ],
+        ),
+      );
+  }
+
+
+  void _tick(Duration duration) {
+    if (DateTime.now().second % 5 == 0) _bgFx.tick(duration);
+  }
+}
+
+class Particle {
+
+  /// 粒子 x 位置
+  double x;
+
+  /// 粒子 y 位置
+  double y;
+
+  /// 粒子角度(弧度制)
+  double a;
+
+  /// 粒子水平速度
+  double vx;
+
+  /// 粒子垂直速度
+  double vy;
+
+  /// 距画布中心距离
+  double dist;
+
+  /// 到画布中心距离的百分比 (0-1).
+  double distFrac;
+
+  /// 粒子大小
+  double size;
+
+  /// 粒子生命长度 (0-1).
+  double life;
+
+  /// 粒子右侧粒子存货时间 (0-1).
+  double lifeLeft;
+
+  /// I粒子是否填充.
+  bool isFilled;
+
+  /// 粒子是否需要 "speed marks".
+  bool isFlowing;
+
+  /// 粒子颜色.
+  Color color;
+
+  /// 粒子描述
+  int distribution;
+
+  /// 粒子类型
+  ParticleType type;
+
+  Particle({
+    this.x = 0,
+    this.y = 0,
+    this.a = 0,
+    this.vx = 0,
+    this.vy = 0,
+    this.dist = 0,
+    this.distFrac = 0,
+    this.size = 0,
+    this.life = 0,
+    this.lifeLeft = 0,
+    this.isFilled = false,
+    this.isFlowing = false,
+    this.color = Colors.black,
+    this.distribution = 0,
+    this.type = ParticleType.noise,
+  });
+}
+
+enum ParticleType {
+  hour,
+  minute,
+  noise,
+}
+
+
+class Rnd {
+  static int _seed = DateTime.now().millisecondsSinceEpoch;
+  static Random random = Random(_seed);
+
+  static set seed(int val) => random = Random(_seed = val);
+  static int get seed => _seed;
+
+  /// Gets the next double.
+  static get ratio => random.nextDouble();
+
+  /// Gets a random int between [min] and [max].
+  static int getInt(int min, int max) {
+    return min + random.nextInt(max - min);
+  }
+
+  /// Gets a random double between [min] and [max].
+  static double getDouble(double min, double max) {
+    return min + random.nextDouble() * (max - min);
+  }
+
+  /// Gets a random boolean with chance [chance].
+  static bool getBool([double chance = 0.5]) {
+    return random.nextDouble() < chance;
+  }
+
+  /// Randomize the positions of items in a list.
+  static List shuffle(List list) {
+    for (int i = 0, l = list.length; i < l; i++) {
+      int j = random.nextInt(l);
+      if (j == i) {
+        continue;
+      }
+      dynamic item = list[j];
+      list[j] = list[i];
+      list[i] = item;
+    }
+    return list;
+  }
+
+  /// Randomly selects an item from a list.
+  static dynamic getItem(List list) {
+    return list[random.nextInt(list.length)];
+  }
+
+  /// Gets a random palette from a list of palettes and sorts its' colors by luminance.
+  ///
+  /// Given if [dark] or not, this method makes sure the luminance of the background color is valid.
+  static Palette getPalette(List<Palette?> palettes, bool dark) {
+    Palette? result;
+
+    while (result == null) {
+      Palette palette = Rnd.getItem(palettes);
+      List<Color> colors = Rnd.shuffle(palette.components).map<Color>((e) => e).toList();
+
+      var luminance = colors[0].computeLuminance();
+
+      if (dark ? luminance <= .1 : luminance >= .1) {
+        var lumDiff = colors
+            .sublist(1)
+            .asMap()
+            .map(
+              (i, color) => MapEntry(
+            i,
+            [i, (luminance - color.computeLuminance()).abs()],
+          ),
+        )
+            .values
+            .toList();
+
+        lumDiff.sort((List<num> a, List<num> b) {
+          return a[1].compareTo(b[1]);
+        });
+
+        List<Color> sortedColors =
+        lumDiff.map((d) => colors[(d[0] + 1).toInt()]).toList();
+
+        result = Palette(
+          components: [colors[0]] + sortedColors,
+        );
+      }
+    }
+    return result;
+  }
+}
\ No newline at end of file
diff --git a/packages/idraw/lib/p20/p20.dart b/packages/idraw/lib/p20/p20.dart
new file mode 100644
index 0000000..ec8cfc6
--- /dev/null
+++ b/packages/idraw/lib/p20/p20.dart
@@ -0,0 +1 @@
+export 'p20_page.dart';
\ No newline at end of file
diff --git a/packages/idraw/lib/p20/p20_page.dart b/packages/idraw/lib/p20/p20_page.dart
new file mode 100644
index 0000000..f7459bc
--- /dev/null
+++ b/packages/idraw/lib/p20/p20_page.dart
@@ -0,0 +1,21 @@
+import 'package:flutter/material.dart';
+
+import 'package:components/components.dart';
+import 's01.dart' as s1;
+import 's02.dart' as s2;
+
+class P20Page extends StatelessWidget {
+  const P20Page({super.key});
+
+  @override
+  Widget build(BuildContext context) {
+    return const DemoShower(
+      srcCodeDir: 'draw/p20',
+
+      demos:  [
+        s1.Paper(),
+        s2.Paper(),
+      ],
+    );
+  }
+}
diff --git a/packages/idraw/lib/p20/s01.dart b/packages/idraw/lib/p20/s01.dart
new file mode 100644
index 0000000..2fe0069
--- /dev/null
+++ b/packages/idraw/lib/p20/s01.dart
@@ -0,0 +1,340 @@
+import 'dart:math';
+
+import 'dart:ui' as ui;
+
+import 'package:flutter/material.dart';
+import 'package:flutter/scheduler.dart';
+import 'package:flutter/services.dart';
+
+/// create by 张风捷特烈 on 2020/11/5
+/// contact me by email 1981462002@qq.com
+/// 说明:
+
+class Paper extends StatelessWidget {
+  const Paper({super.key});
+
+  @override
+  Widget build(BuildContext context) {
+    return Container(
+      color: Colors.white,
+      alignment: Alignment.center,
+      child: const ClockPanel(),
+    );
+  }
+}
+
+class ClockManage with ChangeNotifier {
+  late List<Particle> particles;
+  late DateTime datetime; // 时间
+
+  /// 粒子列表
+  int numParticles;
+
+  /// 最大粒子数
+  Size size; // 尺寸
+
+  ClockManage({this.size= Size.zero, this.numParticles = 500}) {
+    particles = List.filled(numParticles,Particle());
+    datetime = DateTime.now();
+  }
+
+  collectParticles(DateTime datetime) {
+    count = 0;
+    particles.forEach((Particle element) {
+      if(element!=null){
+        element.active = false;
+      }
+    });
+
+    collectDigit(target: datetime.hour ~/ 10, offsetRate: 0);
+    collectDigit(target: datetime.hour % 10, offsetRate: 1);
+    collectDigit(target: 10, offsetRate: 3.2);
+    collectDigit(target: datetime.minute ~/ 10, offsetRate: 2.5);
+    collectDigit(target: datetime.minute % 10, offsetRate: 3.5);
+    collectDigit(target: 10, offsetRate: 7.25);
+    collectDigit(target: datetime.second ~/ 10, offsetRate: 5);
+    collectDigit(target: datetime.second % 10, offsetRate: 6);
+  }
+
+  int count = 0;
+  double _radius = 4;
+
+  void collectDigit({int target = 0, double offsetRate = 0}) {
+    if (target > 10 && count > numParticles) {
+      return;
+    }
+
+    double space = _radius * 2;
+    double offSetX = (digits[target][0].length * 2 * (_radius + 1) + space) *
+        offsetRate;
+
+    for (int i = 0; i < digits[target].length; i++) {
+      for (int j = 0; j < digits[target][j].length; j++) {
+        if (digits[target][i][j] == 1) {
+          double rX = j * 2 * (_radius + 1) + (_radius + 1); //第(i，j)个点圆心横坐标
+          double rY = i * 2 * (_radius + 1) + (_radius + 1); //第(i，j)个点圆心纵坐标
+          particles[count] = Particle(x: rX + offSetX,
+              y: rY, size: _radius, color: Colors.blue,
+              active: true);
+          count++;
+        }
+      }
+    }
+  }
+
+  void tick(DateTime now) {
+    collectParticles(now);
+    notifyListeners();
+  }
+
+  void doUpdate(Particle p, DateTime datetime) {
+
+  }
+}
+
+class ClockPainter extends CustomPainter {
+  final ClockManage manage;
+
+  ClockPainter({ required this.manage}) : super(repaint: manage);
+
+  Paint clockPaint = Paint();
+
+  @override
+  void paint(Canvas canvas, Size size) {
+    manage.particles.where((e) => e!=null&&e.active).forEach((particle) {
+      clockPaint..color = particle.color;
+      canvas.drawCircle(
+          Offset(particle.x, particle.y), particle.size, clockPaint);
+    });
+  }
+
+  @override
+  bool shouldRepaint(covariant CustomPainter oldDelegate) => false;
+}
+class ClockPanel extends StatefulWidget {
+  const ClockPanel({super.key});
+
+  @override
+  _ClockPanelState createState() => _ClockPanelState();
+}
+
+class _ClockPanelState extends State<ClockPanel>
+    with SingleTickerProviderStateMixin {
+  late Ticker _ticker;
+  late ClockManage pm;
+
+  @override
+  void initState() {
+    super.initState();
+    pm = ClockManage(size: Size(550, 200));
+
+    _ticker = createTicker(_tick)
+      ..start();
+  }
+
+  @override
+  void dispose() {
+    _ticker.dispose();
+    super.dispose();
+  }
+
+  @override
+  Widget build(BuildContext context) {
+    return CustomPaint(
+      size: pm.size,
+      painter: ClockPainter(manage: pm),
+
+    );
+  }
+
+  void _tick(Duration duration) {
+    DateTime now = DateTime.now();
+
+    if (now.millisecondsSinceEpoch - pm.datetime.millisecondsSinceEpoch > 1000) {
+      pm..datetime = now..tick(now);
+    }
+  }
+}
+
+class Particle {
+  /// x 位移.
+  double x;
+
+  /// y 位移.
+  double y;
+
+  /// 粒子大小.
+  double size;
+
+  /// 粒子颜色.
+  Color color;
+
+  bool active; // 粒子是否可用
+
+  double vx; /// 粒子水平速度.
+  double ax; // 粒子水平加速度
+  double ay; // 粒子竖直加速度
+  double vy; ///粒子竖直速度.
+
+  Particle({
+    this.x = 0,
+    this.y = 0,
+    this.size = 0,
+    this.vx=0,
+    this.ax=0,
+    this.ay=0,
+    this.vy=0,
+    this.active = true,
+    this.color = Colors.black,
+  });
+}
+
+const colors = [
+  Color(0x8833B5E5),
+  Color(0x880099CC),
+  Color(0x889933CC),
+  Color(0x8899CC00),
+  Color(0x88669900),
+  Color(0x88FFBB33),
+  Color(0x88FF8800),
+  Color(0x88FF4444),
+  Color(0x88CC0000)
+];
+
+const digits = [
+  [
+    [0, 0, 1, 1, 1, 0, 0],
+    [0, 1, 1, 0, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 0, 1, 1, 0],
+    [0, 0, 1, 1, 1, 0, 0]
+  ], //0
+
+  [
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 1, 1, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [1, 1, 1, 1, 1, 1, 1]
+  ], //1
+  [
+    [0, 1, 1, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 1, 1, 0, 0, 0, 0],
+    [1, 1, 0, 0, 0, 0, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 1, 1, 1, 1, 1]
+  ], //2
+  [
+    [1, 1, 1, 1, 1, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 1, 1, 1, 0, 0],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0]
+  ], //3
+
+  [
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 1, 0],
+    [0, 0, 1, 1, 1, 1, 0],
+    [0, 1, 1, 0, 1, 1, 0],
+    [1, 1, 0, 0, 1, 1, 0],
+    [1, 1, 1, 1, 1, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 1, 1]
+  ], //4
+  [
+    [1, 1, 1, 1, 1, 1, 1],
+    [1, 1, 0, 0, 0, 0, 0],
+    [1, 1, 0, 0, 0, 0, 0],
+    [1, 1, 1, 1, 1, 1, 0],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0]
+  ], //5
+  [
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 1, 1, 0, 0, 0, 0],
+    [1, 1, 0, 0, 0, 0, 0],
+    [1, 1, 0, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0]
+  ], //6
+  [
+    [1, 1, 1, 1, 1, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0]
+  ], //7
+  [
+    [0, 1, 1, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0]
+  ], //8
+  [
+    [0, 1, 1, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 1, 1, 0, 0, 0, 0]
+  ], //9
+  [
+    [0, 0, 0, 0],
+    [0, 0, 0, 0],
+    [0, 1, 1, 0],
+    [0, 1, 1, 0],
+    [0, 0, 0, 0],
+    [0, 0, 0, 0],
+    [0, 1, 1, 0],
+    [0, 1, 1, 0],
+    [0, 0, 0, 0],
+    [0, 0, 0, 0]
+  ] //:
+];
+
diff --git a/packages/idraw/lib/p20/s02.dart b/packages/idraw/lib/p20/s02.dart
new file mode 100644
index 0000000..1bb4478
--- /dev/null
+++ b/packages/idraw/lib/p20/s02.dart
@@ -0,0 +1,480 @@
+import 'dart:convert';
+import 'dart:math';
+import 'dart:ui';
+
+// import 'dart:ui' as ui;
+import 'package:flutter/cupertino.dart';
+import 'package:flutter/material.dart';
+import 'package:flutter/scheduler.dart';
+
+/// create by 张风捷特烈 on 2020/11/5
+/// contact me by email 1981462002@qq.com
+/// 说明:
+
+class Paper extends StatelessWidget {
+  const Paper({super.key});
+
+  @override
+  Widget build(BuildContext context) {
+    return Container(
+      color: Colors.white,
+      alignment: Alignment.center,
+      child: const ClockPanel(),
+    );
+  }
+}
+
+
+
+class BgManage with ChangeNotifier {
+  late List<Particle> particles;
+  late DateTime datetime; // 时间
+  Random random = Random();
+
+  /// 粒子列表
+  int numParticles;
+
+  /// 最大粒子数
+  Size size; // 尺寸
+
+  BgManage({required this.size, this.numParticles = 500}) {
+    particles = [];
+    datetime = DateTime.now();
+  }
+
+  checkParticles(DateTime now) {
+    //判断当前时间是否改变,再将点位放到集合中
+    if ((datetime.hour ~/ 10) != (now.hour ~/ 10)) {
+      collectDigit(target: datetime.hour ~/ 10, offsetRate: 0);
+    }
+    if ((datetime.hour % 10) != (now.hour % 10)) {
+      collectDigit(target: datetime.hour % 10, offsetRate: 1);
+    }
+    if ((datetime.minute ~/ 10) != (now.minute ~/ 10)) {
+      collectDigit(target: datetime.minute ~/ 10, offsetRate: 2.5);
+    }
+    if ((datetime.minute % 10) != (now.minute % 10)) {
+      collectDigit(target: datetime.minute % 10, offsetRate: 3.5);
+    }
+    if ((datetime.second ~/ 10) != (now.second ~/ 10)) {
+      collectDigit(target: datetime.second ~/ 10, offsetRate: 5);
+    }
+    if ((datetime.second % 10) != (now.second % 10)) {
+      collectDigit(target: datetime.second % 10, offsetRate: 6);
+      datetime = now;
+    }
+  }
+
+  double _radius = 4;
+
+  void collectDigit({int target = 0, double offsetRate = 0}) {
+    if (target > 10) {
+      return;
+    }
+
+    double space = _radius * 2;
+    double offSetX =
+        (digits[target][0].length * 2 * (_radius + 1) + space) * offsetRate;
+
+    for (int i = 0; i < digits[target].length; i++) {
+      for (int j = 0; j < digits[target][j].length; j++) {
+        if (digits[target][i][j] == 1) {
+          double rX = j * 2 * (_radius + 1) + (_radius + 1); //第(i，j)个点圆心横坐标
+          double rY = i * 2 * (_radius + 1) + (_radius + 1); //第(i，j)个点圆心纵坐标
+          Particle particle = Particle(
+              x: rX + offSetX,
+              y: rY,
+              size: _radius,
+              color: randomColor(),
+              active: true,
+              vx: 2.5 * random.nextDouble() * pow(-1, random.nextInt(20)),
+              vy: 2 * random.nextDouble() + 1);
+          particles.add(particle);
+        }
+      }
+    }
+  }
+
+  Color randomColor({
+    int limitA = 120,
+    int limitR = 0,
+    int limitG = 0,
+    int limitB = 0,
+  }) {
+    var a = limitA + random.nextInt(256 - limitA); //透明度值
+    var r = limitR + random.nextInt(256 - limitR); //红值
+    var g = limitG + random.nextInt(256 - limitG); //绿值
+    var b = limitB + random.nextInt(256 - limitB); //蓝值
+    return Color.fromARGB(a, r, g, b); //生成argb模式的颜色
+  }
+
+  void tick(DateTime now) {
+    checkParticles(now);
+
+    for (int i = 0; i < particles.length; i++) {
+      doUpdate(particles[i]);
+    }
+    notifyListeners();
+  }
+
+  void doUpdate(Particle p) {
+    p.vy += p.ay; // y加速度变化
+    p.vx += p.ax; // x加速度变化
+    p.x += p.vx;
+    p.y += p.vy;
+
+    if (p.x > size.width) {
+      p.x = size.width;
+      p.vx = -p.vx;
+    }
+
+    if (p.x < 0) {
+      p.x = 0;
+      p.vx = -p.vx;
+    }
+
+    if (p.y > size.height) {
+      particles.remove(p);
+    }
+  }
+}
+
+class BgPainter extends CustomPainter {
+  final BgManage manage;
+
+  BgPainter({required this.manage}) : super(repaint: manage);
+
+  Paint clockPaint = Paint();
+
+  @override
+  void paint(Canvas canvas, Size size) {
+
+    manage.particles.forEach((particle) {
+      clockPaint..color = particle.color;
+      canvas.drawCircle(
+          Offset(particle.x, particle.y), particle.size, clockPaint);
+    });
+  }
+
+  @override
+  bool shouldRepaint(covariant CustomPainter oldDelegate) => false;
+}
+class ClockManage with ChangeNotifier {
+  late List<Particle> particles;
+  late DateTime datetime; // 时间
+
+  /// 粒子列表
+  int numParticles;
+
+  /// 最大粒子数
+  Size size; // 尺寸
+
+  ClockManage({required this.size, this.numParticles = 500}) {
+    particles = List.filled(numParticles,Particle());
+    datetime = DateTime.now();
+  }
+
+  collectParticles(DateTime datetime) {
+    count = 0;
+    particles.forEach((Particle element) {
+      if(element!=null){
+        element.active = false;
+      }
+    });
+
+    collectDigit(target: datetime.hour ~/ 10, offsetRate: 0);
+    collectDigit(target: datetime.hour % 10, offsetRate: 1);
+    collectDigit(target: 10, offsetRate: 3.2);
+    collectDigit(target: datetime.minute ~/ 10, offsetRate: 2.5);
+    collectDigit(target: datetime.minute % 10, offsetRate: 3.5);
+    collectDigit(target: 10, offsetRate: 7.25);
+    collectDigit(target: datetime.second ~/ 10, offsetRate: 5);
+    collectDigit(target: datetime.second % 10, offsetRate: 6);
+  }
+
+  int count = 0;
+  double _radius = 4;
+
+  void collectDigit({int target = 0, double offsetRate = 0}) {
+    if (target > 10 && count > numParticles) {
+      return;
+    }
+
+    double space = _radius * 2;
+    double offSetX = (digits[target][0].length * 2 * (_radius + 1) + space) *
+        offsetRate;
+
+    for (int i = 0; i < digits[target].length; i++) {
+      for (int j = 0; j < digits[target][j].length; j++) {
+        if (digits[target][i][j] == 1) {
+          double rX = j * 2 * (_radius + 1) + (_radius + 1); //第(i，j)个点圆心横坐标
+          double rY = i * 2 * (_radius + 1) + (_radius + 1); //第(i，j)个点圆心纵坐标
+          particles[count] = Particle(x: rX + offSetX,
+              y: rY, size: _radius, color: Colors.blue,
+              active: true);
+          count++;
+        }
+      }
+    }
+  }
+
+  void tick(DateTime now) {
+    collectParticles(now);
+    notifyListeners();
+  }
+
+  void doUpdate(Particle p, DateTime datetime) {
+
+  }
+}
+
+class ClockPainter extends CustomPainter {
+  final ClockManage manage;
+
+  ClockPainter({required this.manage}) : super(repaint: manage);
+
+  Paint clockPaint = Paint();
+
+  @override
+  void paint(Canvas canvas, Size size) {
+    manage.particles.where((e) => e!=null&&e.active).forEach((particle) {
+      clockPaint..color = particle.color;
+      canvas.drawCircle(
+          Offset(particle.x, particle.y), particle.size, clockPaint);
+    });
+  }
+
+  @override
+  bool shouldRepaint(covariant CustomPainter oldDelegate) => false;
+}
+
+class ClockPanel extends StatefulWidget {
+  const ClockPanel({super.key});
+
+  @override
+  _ClockPanelState createState() => _ClockPanelState();
+}
+
+class _ClockPanelState extends State<ClockPanel>
+    with SingleTickerProviderStateMixin {
+  late Ticker _ticker;
+  late ClockManage pm;
+
+  late BgManage bgManage;
+
+  @override
+  void initState() {
+    super.initState();
+    pm = ClockManage(size: Size(550, 200));
+    bgManage = BgManage(size: Size(550, 200));
+
+    _ticker = createTicker(_tick)
+      ..start();
+  }
+
+  @override
+  void dispose() {
+    _ticker.dispose();
+    super.dispose();
+  }
+
+  @override
+  Widget build(BuildContext context) {
+    return CustomPaint(
+      size: pm.size,
+      painter: ClockPainter(manage: pm),
+      foregroundPainter: BgPainter(manage: bgManage),
+    );
+  }
+
+  void _tick(Duration duration) {
+    DateTime now = DateTime.now();
+
+    if (now.millisecondsSinceEpoch - pm.datetime.millisecondsSinceEpoch > 1000) {
+      pm..datetime = now..tick(now);
+    }
+    bgManage..tick(now);
+  }
+}
+
+class Particle {
+  /// x 位移.
+  double x;
+
+  /// y 位移.
+  double y;
+
+  /// 粒子大小.
+  double size;
+
+  /// 粒子颜色.
+  Color color;
+
+  bool active; // 粒子是否可用
+
+  double vx; /// 粒子水平速度.
+  double ax; // 粒子水平加速度
+  double ay; // 粒子竖直加速度
+  double vy; ///粒子竖直速度.
+
+  Particle({
+    this.x = 0,
+    this.y = 0,
+    this.size = 0,
+    this.vx=0,
+    this.ax=0,
+    this.ay=0,
+    this.vy=0,
+    this.active = true,
+    this.color = Colors.black,
+  });
+}
+
+const colors = [
+  Color(0x8833B5E5),
+  Color(0x880099CC),
+  Color(0x889933CC),
+  Color(0x8899CC00),
+  Color(0x88669900),
+  Color(0x88FFBB33),
+  Color(0x88FF8800),
+  Color(0x88FF4444),
+  Color(0x88CC0000)
+];
+
+const digits = [
+  [
+    [0, 0, 1, 1, 1, 0, 0],
+    [0, 1, 1, 0, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 0, 1, 1, 0],
+    [0, 0, 1, 1, 1, 0, 0]
+  ], //0
+
+  [
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 1, 1, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [1, 1, 1, 1, 1, 1, 1]
+  ], //1
+  [
+    [0, 1, 1, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 1, 1, 0, 0, 0, 0],
+    [1, 1, 0, 0, 0, 0, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 1, 1, 1, 1, 1]
+  ], //2
+  [
+    [1, 1, 1, 1, 1, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 1, 1, 1, 0, 0],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0]
+  ], //3
+
+  [
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 1, 0],
+    [0, 0, 1, 1, 1, 1, 0],
+    [0, 1, 1, 0, 1, 1, 0],
+    [1, 1, 0, 0, 1, 1, 0],
+    [1, 1, 1, 1, 1, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 1, 1]
+  ], //4
+  [
+    [1, 1, 1, 1, 1, 1, 1],
+    [1, 1, 0, 0, 0, 0, 0],
+    [1, 1, 0, 0, 0, 0, 0],
+    [1, 1, 1, 1, 1, 1, 0],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0]
+  ], //5
+  [
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 1, 1, 0, 0, 0, 0],
+    [1, 1, 0, 0, 0, 0, 0],
+    [1, 1, 0, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0]
+  ], //6
+  [
+    [1, 1, 1, 1, 1, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0],
+    [0, 0, 1, 1, 0, 0, 0]
+  ], //7
+  [
+    [0, 1, 1, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 1, 1, 0]
+  ], //8
+  [
+    [0, 1, 1, 1, 1, 1, 0],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [1, 1, 0, 0, 0, 1, 1],
+    [0, 1, 1, 1, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 0, 1, 1],
+    [0, 0, 0, 0, 1, 1, 0],
+    [0, 0, 0, 1, 1, 0, 0],
+    [0, 1, 1, 0, 0, 0, 0]
+  ], //9
+  [
+    [0, 0, 0, 0],
+    [0, 0, 0, 0],
+    [0, 1, 1, 0],
+    [0, 1, 1, 0],
+    [0, 0, 0, 0],
+    [0, 0, 0, 0],
+    [0, 1, 1, 0],
+    [0, 1, 1, 0],
+    [0, 0, 0, 0],
+    [0, 0, 0, 0]
+  ] //:
+];
diff --git a/packages/idraw/lib/p21/p21.dart b/packages/idraw/lib/p21/p21.dart
new file mode 100644
index 0000000..fc9c20b
--- /dev/null
+++ b/packages/idraw/lib/p21/p21.dart
@@ -0,0 +1 @@
+export 'p21_page.dart';
\ No newline at end of file
diff --git a/packages/idraw/lib/p21/p21_page.dart b/packages/idraw/lib/p21/p21_page.dart
new file mode 100644
index 0000000..1c124d7
--- /dev/null
+++ b/packages/idraw/lib/p21/p21_page.dart
@@ -0,0 +1,21 @@
+import 'package:flutter/material.dart';
+
+import 'package:components/components.dart';
+import 's01.dart' as s1;
+import 's02.dart' as s2;
+
+class P21Page extends StatelessWidget {
+  const P21Page({super.key});
+
+  @override
+  Widget build(BuildContext context) {
+    return const DemoShower(
+      srcCodeDir: 'draw/p21',
+
+      demos:  [
+        s1.Paper(),
+        s2.Paper(),
+      ],
+    );
+  }
+}
diff --git a/packages/idraw/lib/p21/s01.dart b/packages/idraw/lib/p21/s01.dart
new file mode 100644
index 0000000..4bd9dcd
--- /dev/null
+++ b/packages/idraw/lib/p21/s01.dart
@@ -0,0 +1,241 @@
+import 'dart:math';
+
+import 'dart:ui' as ui;
+
+import 'package:dash_painter/dash_painter.dart';
+import 'package:flutter/material.dart';
+import 'package:flutter/scheduler.dart';
+import 'package:flutter/services.dart';
+
+/// create by 张风捷特烈 on 2020/11/5
+/// contact me by email 1981462002@qq.com
+/// 说明:
+
+class Paper extends StatefulWidget {
+  const Paper({Key? key}) : super(key: key);
+
+  @override
+  State<Paper> createState() => _PaperState();
+}
+
+class _PaperState extends State<Paper>
+    with SingleTickerProviderStateMixin {
+  Line line = Line(start: const Offset(20, 20), end: const Offset(50, 80));
+
+  late AnimationController ctrl;
+
+  @override
+  void initState() {
+    super.initState();
+    ctrl = AnimationController(
+      vsync: this,
+      duration: const Duration(seconds: 3),
+    )..addListener(_updateLine);
+  }
+
+  @override
+  void dispose() {
+    line.dispose();
+    ctrl.dispose();
+    super.dispose();
+  }
+
+  @override
+  Widget build(BuildContext context) {
+
+    return Center(
+      child: GestureDetector(
+        onTap: () {
+          // line.record();
+          ctrl.forward(from: 0);
+        },
+        child: CustomPaint(
+          painter: AnglePainter(line: line
+            // linker: linker
+          ),
+          child: Container(
+            color: Colors.grey.withOpacity(0.1),
+            height: 200,
+            width: 200,
+          ),
+        ),
+      ),
+    );
+  }
+
+  void _updateLine() {
+    // print("${ctrl.value * 2 * pi}");
+    Offset center = line.percent(0.2);
+    line.rotate(ctrl.value * 2 * pi, centre: center);
+    // line.rotate(ctrl.value * 2* pi);
+  }
+}
+
+class AnglePainter extends CustomPainter {
+  final DashPainter dashPainter = const DashPainter(span: 4, step: 4);
+
+  AnglePainter({required this.line}) : super(repaint: line);
+
+  final Paint pointPaint = Paint()
+    ..style = PaintingStyle.stroke
+    ..strokeWidth = 1;
+
+  final Paint helpPaint = Paint()
+    ..style = PaintingStyle.stroke
+    ..color = Colors.lightBlue
+    ..strokeWidth = 1;
+
+  final TextPainter textPainter = TextPainter(
+    textAlign: TextAlign.center,
+    textDirection: TextDirection.ltr,
+  );
+
+  final Line line;
+
+  @override
+  void paint(Canvas canvas, Size size) {
+    canvas.translate(size.width / 2, size.height / 2);
+    drawHelp(canvas, size);
+    line.paint(canvas);
+  }
+
+  void drawHelp(Canvas canvas, Size size) {
+    Path helpPath = Path()
+      ..moveTo(-size.width / 2, 0)
+      ..relativeLineTo(size.width, 0)
+      ..moveTo(0, -size.height / 2)
+      ..relativeLineTo(0, size.height);
+    dashPainter.paint(canvas, helpPath, helpPaint);
+
+    drawHelpText('0°', canvas, Offset(size.width / 2 - 20, 0));
+    drawHelpText('p0', canvas, line.start.translate(-20, 0));
+    drawHelpText('p1', canvas, line.end.translate(-20, 0));
+
+    // drawHelpText('p2', canvas, Offset(60, 40).translate(10, 0));
+    // drawAnchor(canvas, Offset(60, 40));
+    drawAnchor(canvas, line.percent(0.2));
+    // drawAnchor(canvas, line.percent(0.5));
+
+    // drawAnchor(canvas, line.percent(0.8));
+
+    drawHelpText(
+      '角度: ${(line.positiveRad * 180 / pi).toStringAsFixed(2)}°',
+      canvas,
+      Offset(
+        -size.width / 2 + 10,
+        -size.height / 2 + 10,
+      ),
+    );
+
+
+
+    // canvas.drawArc(
+    //   Rect.fromCenter(center: line.start, width: 20, height: 20),
+    //   0,
+    //   line.positiveRad,
+    //   false,
+    //   helpPaint,
+    // );
+
+    // canvas.save();
+    // Offset center = const Offset(60, 60);
+    // canvas.translate(center.dx, center.dy);
+    // canvas.rotate(line.positiveRad);
+    // canvas.translate(-center.dx, -center.dy);
+    // canvas.drawCircle(center, 4, helpPaint);
+    // canvas.drawRect(
+    //     Rect.fromCenter(center: center, width: 30, height: 60), helpPaint);
+    // canvas.restore();
+  }
+
+  void drawAnchor(Canvas canvas, Offset offset) {
+    canvas.drawCircle(offset, 4, pointPaint..style = PaintingStyle.stroke);
+    canvas.drawCircle(offset, 2, pointPaint..style = PaintingStyle.fill);
+  }
+
+  void drawHelpText(
+      String text,
+      Canvas canvas,
+      Offset offset, {
+        Color color = Colors.lightBlue,
+      }) {
+    textPainter.text = TextSpan(
+      text: text,
+      style: TextStyle(fontSize: 12, color: color),
+    );
+    textPainter.layout(maxWidth: 200);
+    textPainter.paint(canvas, offset);
+  }
+
+  @override
+  bool shouldRepaint(covariant CustomPainter oldDelegate) {
+    return false;
+  }
+}
+
+class Line with ChangeNotifier {
+  Line({
+    this.start = Offset.zero,
+    this.end = Offset.zero,
+  });
+
+  Offset start;
+  Offset end;
+
+  final Paint pointPaint = Paint()
+    ..style = PaintingStyle.stroke
+    ..strokeWidth = 1;
+
+  void paint(Canvas canvas) {
+    canvas.drawLine(start, end, pointPaint);
+    drawAnchor(canvas, start);
+    drawAnchor(canvas, end);
+  }
+
+  double get rad => (end - start).direction;
+
+  double get positiveRad => rad < 0 ? 2 * pi + rad : rad;
+
+  double get length => (end - start).distance;
+
+  void drawAnchor(Canvas canvas, Offset offset) {
+    canvas.drawCircle(offset, 4, pointPaint..style = PaintingStyle.stroke);
+    canvas.drawCircle(offset, 2, pointPaint..style = PaintingStyle.fill);
+  }
+
+  double detaRotate = 0;
+
+  void rotate(double rotate, {Offset? centre}) {
+    detaRotate = rotate - detaRotate;
+    centre = centre ?? start;
+    Line p2p0 = Line(start: centre, end: start);
+    Line p2p1 = Line(start: centre, end: end);
+    p2p0._rotateByStart(detaRotate);
+    p2p1._rotateByStart(detaRotate);
+    start = p2p0.end;
+    end = p2p1.end;
+    detaRotate = rotate;
+    notifyListeners();
+  }
+
+
+
+  Offset percent(double percent){
+    return Offset(
+      length*percent*cos(rad),
+      length*percent*sin(rad),
+    )+start;
+  }
+
+  void _rotateByStart(double rotate) {
+    end = Offset(
+      length * cos(rad + rotate),
+      length * sin(rad + rotate),
+    ) +
+        start;
+  }
+
+  void tick() {
+    notifyListeners();
+  }
+}
\ No newline at end of file
diff --git a/packages/idraw/lib/p21/s02.dart b/packages/idraw/lib/p21/s02.dart
new file mode 100644
index 0000000..e80e4c3
--- /dev/null
+++ b/packages/idraw/lib/p21/s02.dart
@@ -0,0 +1,291 @@
+import 'dart:math';
+
+import 'dart:ui' as ui;
+
+import 'package:dash_painter/dash_painter.dart';
+import 'package:flutter/material.dart';
+import 'package:flutter/scheduler.dart';
+import 'package:flutter/services.dart';
+
+/// create by 张风捷特烈 on 2020/11/5
+/// contact me by email 1981462002@qq.com
+/// 说明:
+
+class Paper extends StatefulWidget {
+  const Paper({Key? key}) : super(key: key);
+
+
+  @override
+  State<Paper> createState() => _PaperState();
+}
+
+class _PaperState extends State<Paper>
+    with SingleTickerProviderStateMixin {
+
+  Line line = Line();
+
+  late AnimationController ctrl;
+  ui.Image? _image;
+  ui.Image? _bgImage;
+
+  void _loadImage() async {
+    ByteData data = await rootBundle.load('assets/images/hand.webp');
+    List<int> bytes = data.buffer.asUint8List(data.offsetInBytes, data.lengthInBytes);
+    _image = await decodeImageFromList(Uint8List.fromList(bytes));
+    line.attachImage(ImageZone(
+      rect: const Rect.fromLTRB(0, 93, 104, 212),
+      image: _image!,
+    ));
+  }
+
+  void _loadImage2() async {
+    ByteData bgData = await rootBundle.load('assets/images/body.webp');
+    List<int> bgBytes = bgData.buffer.asUint8List(bgData.offsetInBytes, bgData.lengthInBytes);
+    _bgImage = await decodeImageFromList(Uint8List.fromList(bgBytes));
+    setState(() {
+
+    });
+  }
+
+  @override
+  void initState() {
+    super.initState();
+    ctrl = AnimationController(
+      vsync: this,
+      duration: const Duration(seconds: 1),
+    )..addListener(_updateLine)..forward();
+    _loadImage();
+    _loadImage2();
+  }
+
+  @override
+  void dispose() {
+    line.dispose();
+    ctrl.dispose();
+    super.dispose();
+  }
+
+  @override
+  Widget build(BuildContext context) {
+    // line.start = Offset.zero;
+    // line.end = Offset(40, 0);
+    // line.rotate(2.4085543677521746);
+
+    return Scaffold(
+      body: Center(
+        child: GestureDetector(
+          onTap: () {
+            // line.record();
+            ctrl.repeat(reverse: true);
+          },
+          child:
+          CustomPaint(
+            painter: AnglePainter(line: line,
+                // linker: linker
+                image:_bgImage),
+            child: Container(
+              // color: Colors.grey.withOpacity(0.1),
+              // height: 200,
+              // width: 200,
+            ),
+          ),
+        ),
+      ), // This trailing comma makes auto-formatting nicer for build methods.
+    );
+  }
+
+  void _updateLine() {
+    // print("${ctrl.value * 2 * pi}");
+    line.rotate(ctrl.value * 2* pi/50);
+  }
+}
+class ImageZone {
+  final ui.Image image;
+  final Rect rect;
+
+  Line? _line;
+
+  final Paint imagePaint = Paint()..filterQuality = FilterQuality.high;
+
+  ImageZone({required this.image, this.rect = Rect.zero});
+
+  Line get line {
+    if (_line != null) {
+      return _line!;
+    }
+    Offset start = Offset(
+        -(image.width / 2 - rect.right), -(image.height / 2 - rect.bottom));
+    Offset end = start.translate(-rect.width, -rect.height);
+    _line = Line(start: start, end: end);
+    return _line!;
+  }
+
+  void paint(Canvas canvas, Line line) {
+    canvas.save();
+    canvas.translate(line.start.dx, line.start.dy);
+    canvas.rotate(line.positiveRad - this.line.positiveRad);
+    canvas.translate(-line.start.dx, -line.start.dy);
+    canvas.drawImageRect(
+      image,
+      rect,
+      rect.translate(-image.width / 2, -image.height / 2),
+      imagePaint,
+    );
+    canvas.restore();
+  }
+}
+class AnglePainter extends CustomPainter {
+  final DashPainter dashPainter = const DashPainter(span: 4, step: 4);
+  ui.Image? image;
+
+  AnglePainter({required this.line, this.image}) : super(repaint: line);
+
+  final Paint helpPaint = Paint()
+    ..style = PaintingStyle.stroke
+    ..color = Colors.lightBlue
+    ..strokeWidth = 1;
+
+  final TextPainter textPainter = TextPainter(
+    textAlign: TextAlign.center,
+    textDirection: TextDirection.ltr,
+  );
+
+  final Line line;
+
+  @override
+  void paint(Canvas canvas, Size size) {
+    canvas.translate(size.width / 2, size.height / 2);
+    line.paint(canvas);
+    // drawHelp(canvas, size);
+
+    if (image != null) {
+      canvas.drawImage(
+          image!, Offset(-image!.width / 2, -image!.height / 2), Paint());
+      // drawHelp(canvas, Size(image!.width.toDouble() , image!.height.toDouble()));
+    }
+  }
+
+  void drawHelp(Canvas canvas, Size size) {
+
+    Path helpPath = Path()
+      ..moveTo(-size.width / 2, 0)
+      ..relativeLineTo(size.width, 0)
+      ..moveTo(0, -size.height / 2)
+      ..relativeLineTo(0, size.height);
+
+    dashPainter.paint(canvas, helpPath, helpPaint);
+
+    // drawHelpText('0°', canvas, Offset(size.width / 2 - 20, 0));
+    // drawHelpText('p0', canvas, line.start.translate(-20, 0));
+    // drawHelpText('p1', canvas, line.end.translate(-20, 0));
+    //
+    // drawHelpText(
+    //   '角度: ${(line.positiveRad * 180 / pi).toStringAsFixed(2)}°',
+    //   canvas,
+    //   Offset(
+    //     -size.width / 2 + 10,
+    //     -size.height / 2 + 10,
+    //   ),
+    // );
+
+    // canvas.drawArc(
+    //   Rect.fromCenter(center: line.start, width: 20, height: 20),
+    //   0,
+    //   line.positiveRad,
+    //   false,
+    //   helpPaint,
+    // );
+
+    // canvas.save();
+    // Offset center = const Offset(60, 60);
+    // canvas.translate(center.dx, center.dy);
+    // canvas.rotate(line.positiveRad);
+    // canvas.translate(-center.dx, -center.dy);
+    // canvas.drawCircle(center, 4, helpPaint);
+    // canvas.drawRect(
+    //     Rect.fromCenter(center: center, width: 30, height: 60), helpPaint);
+    // canvas.restore();
+  }
+
+  void drawHelpText(
+      String text,
+      Canvas canvas,
+      Offset offset, {
+        Color color = Colors.lightBlue,
+      }) {
+    textPainter.text = TextSpan(
+      text: text,
+      style: TextStyle(fontSize: 12, color: color),
+    );
+    textPainter.layout(maxWidth: 200);
+    textPainter.paint(canvas, offset);
+  }
+
+  @override
+  bool shouldRepaint(covariant AnglePainter oldDelegate) {
+    return oldDelegate.image != image;
+  }
+}
+
+class Line with ChangeNotifier {
+  Line({
+    this.start = Offset.zero,
+    this.end = Offset.zero,
+  });
+
+  Offset start;
+  Offset end;
+  ImageZone? _zone;
+
+  void attachImage(ImageZone zone) {
+    _zone = zone;
+    start = zone.line.start;
+    end = zone.line.end;
+    notifyListeners();
+  }
+
+  final Paint pointPaint = Paint()
+    ..style = PaintingStyle.fill
+    ..color = Colors.red
+    ..strokeWidth = 1;
+
+  void paint(Canvas canvas) {
+    _zone?.paint(canvas, this);
+    // canvas.save();
+    // canvas.translate(start.dx, start.dy);
+    // canvas.rotate(positiveRad);
+    // Path arrowPath = Path();
+    // arrowPath
+    //   ..relativeLineTo(length - 10, 3)
+    //   ..relativeLineTo(0, 2)
+    //   ..lineTo(length, 0)
+    //   ..relativeLineTo(-10, -5)
+    //   ..relativeLineTo(0, 2)
+    //   ..close();
+    // canvas.drawPath(arrowPath, pointPaint);
+    // canvas.restore();
+  }
+
+  double get rad => (end - start).direction;
+
+  double get positiveRad => rad < 0 ? 2 * pi + rad : rad;
+
+  double get length => (end - start).distance;
+
+  double detaRotate = 0;
+
+  void rotate(double rotate) {
+    detaRotate = rotate - detaRotate;
+    end = Offset(
+      length * cos(rad + detaRotate),
+      length * sin(rad + detaRotate),
+    ) +
+        start;
+    detaRotate = rotate;
+    notifyListeners();
+  }
+
+  void tick() {
+    notifyListeners();
+  }
+}
\ No newline at end of file
diff --git a/packages/idraw/pubspec.yaml b/packages/idraw/pubspec.yaml
index 4d16f45..f650ba1 100644
--- a/packages/idraw/pubspec.yaml
+++ b/packages/idraw/pubspec.yaml
@@ -12,6 +12,7 @@ dependencies:
     sdk: flutter
   image: ^4.1.3
   dio: ^5.4.0
+  dash_painter: ^1.0.2
   components:
     path: ../components
 dev_dependencies:
diff --git a/pubspec.lock b/pubspec.lock
index 7cbdb5c..502740e 100644
--- a/pubspec.lock
+++ b/pubspec.lock
@@ -80,6 +80,14 @@ packages:
       url: "https://pub.flutter-io.cn"
     source: hosted
     version: "1.0.5"
+  dash_painter:
+    dependency: transitive
+    description:
+      name: dash_painter
+      sha256: e0b24070aed0549f9139ef1276ca70c155fe78960ec624d6dec3cdb0502f9a2a
+      url: "https://pub.flutter-io.cn"
+    source: hosted
+    version: "1.0.2"
   dio:
     dependency: transitive
     description: