diff --git a/.dart_tool/package_config.json b/.dart_tool/package_config.json
index 861acea..f497c65 100644
--- a/.dart_tool/package_config.json
+++ b/.dart_tool/package_config.json
@@ -3,165 +3,165 @@
   "packages": [
     {
       "name": "async",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/async-2.13.0",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/async-2.13.0",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "boolean_selector",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/boolean_selector-2.1.2",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/boolean_selector-2.1.2",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "characters",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/characters-1.4.0",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/characters-1.4.0",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "clock",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/clock-1.1.2",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/clock-1.1.2",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "collection",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/collection-1.19.1",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/collection-1.19.1",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "cupertino_icons",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/cupertino_icons-1.0.8",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/cupertino_icons-1.0.8",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "fake_async",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/fake_async-1.3.3",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/fake_async-1.3.3",
       "packageUri": "lib/",
       "languageVersion": "3.3"
     },
     {
       "name": "flutter",
-      "rootUri": "file:///home/ashu/app%20development/flutter/packages/flutter",
+      "rootUri": "file:///home/biraj01/flutter/packages/flutter",
       "packageUri": "lib/",
-      "languageVersion": "3.7"
+      "languageVersion": "3.8"
     },
     {
       "name": "flutter_lints",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/flutter_lints-5.0.0",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/flutter_lints-5.0.0",
       "packageUri": "lib/",
       "languageVersion": "3.5"
     },
     {
       "name": "flutter_test",
-      "rootUri": "file:///home/ashu/app%20development/flutter/packages/flutter_test",
+      "rootUri": "file:///home/biraj01/flutter/packages/flutter_test",
       "packageUri": "lib/",
-      "languageVersion": "3.7"
+      "languageVersion": "3.8"
     },
     {
       "name": "leak_tracker",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/leak_tracker-10.0.9",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/leak_tracker-11.0.2",
       "packageUri": "lib/",
       "languageVersion": "3.2"
     },
     {
       "name": "leak_tracker_flutter_testing",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/leak_tracker_flutter_testing-3.0.9",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/leak_tracker_flutter_testing-3.0.10",
       "packageUri": "lib/",
       "languageVersion": "3.2"
     },
     {
       "name": "leak_tracker_testing",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/leak_tracker_testing-3.0.1",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/leak_tracker_testing-3.0.2",
       "packageUri": "lib/",
       "languageVersion": "3.2"
     },
     {
       "name": "lints",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/lints-5.1.1",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/lints-5.1.1",
       "packageUri": "lib/",
       "languageVersion": "3.6"
     },
     {
       "name": "matcher",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/matcher-0.12.17",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/matcher-0.12.17",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "material_color_utilities",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/material_color_utilities-0.11.1",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/material_color_utilities-0.11.1",
       "packageUri": "lib/",
       "languageVersion": "2.17"
     },
     {
       "name": "meta",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/meta-1.16.0",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/meta-1.16.0",
       "packageUri": "lib/",
       "languageVersion": "2.12"
     },
     {
       "name": "path",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/path-1.9.1",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/path-1.9.1",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "sky_engine",
-      "rootUri": "file:///home/ashu/app%20development/flutter/bin/cache/pkg/sky_engine",
+      "rootUri": "file:///home/biraj01/flutter/bin/cache/pkg/sky_engine",
       "packageUri": "lib/",
-      "languageVersion": "3.7"
+      "languageVersion": "3.8"
     },
     {
       "name": "source_span",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/source_span-1.10.1",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/source_span-1.10.1",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "stack_trace",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/stack_trace-1.12.1",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/stack_trace-1.12.1",
       "packageUri": "lib/",
       "languageVersion": "3.4"
     },
     {
       "name": "stream_channel",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/stream_channel-2.1.4",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/stream_channel-2.1.4",
       "packageUri": "lib/",
       "languageVersion": "3.3"
     },
     {
       "name": "string_scanner",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/string_scanner-1.4.1",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/string_scanner-1.4.1",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "term_glyph",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/term_glyph-1.2.2",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/term_glyph-1.2.2",
       "packageUri": "lib/",
       "languageVersion": "3.1"
     },
     {
       "name": "test_api",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/test_api-0.7.4",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/test_api-0.7.6",
       "packageUri": "lib/",
       "languageVersion": "3.5"
     },
     {
       "name": "vector_math",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/vector_math-2.1.4",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/vector_math-2.2.0",
       "packageUri": "lib/",
-      "languageVersion": "2.14"
+      "languageVersion": "3.1"
     },
     {
       "name": "vm_service",
-      "rootUri": "file:///home/ashu/.pub-cache/hosted/pub.dev/vm_service-15.0.0",
+      "rootUri": "file:///home/biraj01/.pub-cache/hosted/pub.dev/vm_service-15.0.2",
       "packageUri": "lib/",
-      "languageVersion": "3.3"
+      "languageVersion": "3.5"
     },
     {
       "name": "flappy_bird",
@@ -171,8 +171,8 @@
     }
   ],
   "generator": "pub",
-  "generatorVersion": "3.8.1",
-  "flutterRoot": "file:///home/ashu/app%20development/flutter",
-  "flutterVersion": "3.32.7",
-  "pubCache": "file:///home/ashu/.pub-cache"
+  "generatorVersion": "3.9.2",
+  "flutterRoot": "file:///home/biraj01/flutter",
+  "flutterVersion": "3.35.6",
+  "pubCache": "file:///home/biraj01/.pub-cache"
 }
diff --git a/.dart_tool/package_graph.json b/.dart_tool/package_graph.json
index 0a2f9ea..4fc973a 100644
--- a/.dart_tool/package_graph.json
+++ b/.dart_tool/package_graph.json
@@ -26,28 +26,18 @@
       "name": "flutter_test",
       "version": "0.0.0",
       "dependencies": [
-        "async",
-        "boolean_selector",
-        "characters",
         "clock",
         "collection",
         "fake_async",
         "flutter",
-        "leak_tracker",
         "leak_tracker_flutter_testing",
-        "leak_tracker_testing",
         "matcher",
-        "material_color_utilities",
         "meta",
         "path",
-        "source_span",
         "stack_trace",
         "stream_channel",
-        "string_scanner",
-        "term_glyph",
         "test_api",
-        "vector_math",
-        "vm_service"
+        "vector_math"
       ]
     },
     {
@@ -72,23 +62,6 @@
       "version": "5.1.1",
       "dependencies": []
     },
-    {
-      "name": "vm_service",
-      "version": "15.0.0",
-      "dependencies": []
-    },
-    {
-      "name": "term_glyph",
-      "version": "1.2.2",
-      "dependencies": []
-    },
-    {
-      "name": "string_scanner",
-      "version": "1.4.1",
-      "dependencies": [
-        "source_span"
-      ]
-    },
     {
       "name": "stream_channel",
       "version": "2.1.4",
@@ -96,76 +69,19 @@
         "async"
       ]
     },
-    {
-      "name": "source_span",
-      "version": "1.10.1",
-      "dependencies": [
-        "collection",
-        "path",
-        "term_glyph"
-      ]
-    },
     {
       "name": "meta",
       "version": "1.16.0",
       "dependencies": []
     },
-    {
-      "name": "material_color_utilities",
-      "version": "0.11.1",
-      "dependencies": [
-        "collection"
-      ]
-    },
-    {
-      "name": "leak_tracker_testing",
-      "version": "3.0.1",
-      "dependencies": [
-        "leak_tracker",
-        "matcher",
-        "meta"
-      ]
-    },
-    {
-      "name": "leak_tracker",
-      "version": "10.0.9",
-      "dependencies": [
-        "clock",
-        "collection",
-        "meta",
-        "path",
-        "vm_service"
-      ]
-    },
     {
       "name": "collection",
       "version": "1.19.1",
       "dependencies": []
     },
-    {
-      "name": "characters",
-      "version": "1.4.0",
-      "dependencies": []
-    },
-    {
-      "name": "boolean_selector",
-      "version": "2.1.2",
-      "dependencies": [
-        "source_span",
-        "string_scanner"
-      ]
-    },
-    {
-      "name": "async",
-      "version": "2.13.0",
-      "dependencies": [
-        "collection",
-        "meta"
-      ]
-    },
     {
       "name": "leak_tracker_flutter_testing",
-      "version": "3.0.9",
+      "version": "3.0.10",
       "dependencies": [
         "flutter",
         "leak_tracker",
@@ -176,7 +92,7 @@
     },
     {
       "name": "vector_math",
-      "version": "2.1.4",
+      "version": "2.2.0",
       "dependencies": []
     },
     {
@@ -217,7 +133,7 @@
     },
     {
       "name": "test_api",
-      "version": "0.7.4",
+      "version": "0.7.6",
       "dependencies": [
         "async",
         "boolean_selector",
@@ -234,6 +150,80 @@
       "name": "sky_engine",
       "version": "0.0.0",
       "dependencies": []
+    },
+    {
+      "name": "material_color_utilities",
+      "version": "0.11.1",
+      "dependencies": [
+        "collection"
+      ]
+    },
+    {
+      "name": "characters",
+      "version": "1.4.0",
+      "dependencies": []
+    },
+    {
+      "name": "async",
+      "version": "2.13.0",
+      "dependencies": [
+        "collection",
+        "meta"
+      ]
+    },
+    {
+      "name": "leak_tracker_testing",
+      "version": "3.0.2",
+      "dependencies": [
+        "leak_tracker",
+        "matcher",
+        "meta"
+      ]
+    },
+    {
+      "name": "leak_tracker",
+      "version": "11.0.2",
+      "dependencies": [
+        "clock",
+        "collection",
+        "meta",
+        "path",
+        "vm_service"
+      ]
+    },
+    {
+      "name": "term_glyph",
+      "version": "1.2.2",
+      "dependencies": []
+    },
+    {
+      "name": "string_scanner",
+      "version": "1.4.1",
+      "dependencies": [
+        "source_span"
+      ]
+    },
+    {
+      "name": "source_span",
+      "version": "1.10.1",
+      "dependencies": [
+        "collection",
+        "path",
+        "term_glyph"
+      ]
+    },
+    {
+      "name": "boolean_selector",
+      "version": "2.1.2",
+      "dependencies": [
+        "source_span",
+        "string_scanner"
+      ]
+    },
+    {
+      "name": "vm_service",
+      "version": "15.0.2",
+      "dependencies": []
     }
   ],
   "configVersion": 1
diff --git a/.dart_tool/version b/.dart_tool/version
index 490717c..eb4861a 100644
--- a/.dart_tool/version
+++ b/.dart_tool/version
@@ -1 +1 @@
-3.32.7
\ No newline at end of file
+3.35.6
\ No newline at end of file
diff --git a/lib/homepage.dart b/lib/homepage.dart
index 006474f..61f94d2 100644
--- a/lib/homepage.dart
+++ b/lib/homepage.dart
@@ -1,5 +1,4 @@
-// import 'dart:async';
-
+import 'dart:async';
 import 'package:flappy_bird/barriers.dart';
 import 'package:flappy_bird/bird.dart';
 import 'package:flutter/material.dart';
@@ -43,26 +42,63 @@ class _HomepageState extends State<Homepage> {
   }
 
   void startGame() {
-    // TODO: Implement the game loop logic here.
-    // Hint: Use a Timer to periodically update the bird's position and barriers.
-    // Hint: Update the bird's position using physics equations.
-    // Hint: Check if the bird is dead and stop the game if necessary.
+    setState(() {
+      isGameStarted = true;
+      time = 0;
+      initialPos = birdY;
+    });
+
+    const double gravity = -4.9; 
+    const double velocity = 2.8; 
+
+    Timer.periodic(const Duration(milliseconds: 30), (timer) {
+      time += 0.03;
+
+      final double displacement = gravity * time * time + velocity * time;
+
+      setState(() {
+        birdY = initialPos - displacement;
+        barrierx1 -= 0.05;
+        barrierx2 -= 0.05;
+
+        if (barrierx1 < -2) barrierx1 += 3.5;
+        if (barrierx2 < -2) barrierx2 += 3.5;
+      });
+
+      if (birdisDead()) {
+        timer.cancel();
+        setState(() => isGameStarted = false);
+        _showDialog();
+      }
+    });
   }
 
   void resetGame() {
-    // TODO: Reset the game state to its initial values.
-    // Hint: Reset birdY, initialPos, time, and isGameStarted.
+    if (Navigator.canPop(context)) {
+      Navigator.pop(context);
+    }
+
+    setState(() {
+      birdY = 0.0;
+      initialPos = birdY;
+      time = 0;
+      isGameStarted = false;
+      barrierx1 = 1;
+      barrierx2 = barrierx1 + 1.5;
+    });
+
+    startGame();
   }
 
   void jump() {
-    // TODO: Implement the jump logic.
-    // Hint: Reset the time and update the initial position of the bird.
+    setState(() {
+      time = 0;
+      initialPos = birdY;
+    });
   }
 
   bool birdisDead() {
-    // TODO: Check if the bird is out of bounds.
-    // Hint: Return true if birdY is greater than 1 or less than -1.
-    return false; // Replace this with the correct condition.
+    return birdY > 1 || birdY < -1;
   }
 
   @override
diff --git a/pubspec.lock b/pubspec.lock
index 63806a4..d1027d1 100644
--- a/pubspec.lock
+++ b/pubspec.lock
@@ -79,26 +79,26 @@ packages:
     dependency: transitive
     description:
       name: leak_tracker
-      sha256: "6bb818ecbdffe216e81182c2f0714a2e62b593f4a4f13098713ff1685dfb6ab0"
+      sha256: "33e2e26bdd85a0112ec15400c8cbffea70d0f9c3407491f672a2fad47915e2de"
       url: "https://pub.dev"
     source: hosted
-    version: "10.0.9"
+    version: "11.0.2"
   leak_tracker_flutter_testing:
     dependency: transitive
     description:
       name: leak_tracker_flutter_testing
-      sha256: f8b613e7e6a13ec79cfdc0e97638fddb3ab848452eff057653abd3edba760573
+      sha256: "1dbc140bb5a23c75ea9c4811222756104fbcd1a27173f0c34ca01e16bea473c1"
       url: "https://pub.dev"
     source: hosted
-    version: "3.0.9"
+    version: "3.0.10"
   leak_tracker_testing:
     dependency: transitive
     description:
       name: leak_tracker_testing
-      sha256: "6ba465d5d76e67ddf503e1161d1f4a6bc42306f9d66ca1e8f079a47290fb06d3"
+      sha256: "8d5a2d49f4a66b49744b23b018848400d23e54caf9463f4eb20df3eb8acb2eb1"
       url: "https://pub.dev"
     source: hosted
-    version: "3.0.1"
+    version: "3.0.2"
   lints:
     dependency: transitive
     description:
@@ -188,26 +188,26 @@ packages:
     dependency: transitive
     description:
       name: test_api
-      sha256: fb31f383e2ee25fbbfe06b40fe21e1e458d14080e3c67e7ba0acfde4df4e0bbd
+      sha256: "522f00f556e73044315fa4585ec3270f1808a4b186c936e612cab0b565ff1e00"
       url: "https://pub.dev"
     source: hosted
-    version: "0.7.4"
+    version: "0.7.6"
   vector_math:
     dependency: transitive
     description:
       name: vector_math
-      sha256: "80b3257d1492ce4d091729e3a67a60407d227c27241d6927be0130c98e741803"
+      sha256: d530bd74fea330e6e364cda7a85019c434070188383e1cd8d9777ee586914c5b
       url: "https://pub.dev"
     source: hosted
-    version: "2.1.4"
+    version: "2.2.0"
   vm_service:
     dependency: transitive
     description:
       name: vm_service
-      sha256: ddfa8d30d89985b96407efce8acbdd124701f96741f2d981ca860662f1c0dc02
+      sha256: "45caa6c5917fa127b5dbcfbd1fa60b14e583afdc08bfc96dda38886ca252eb60"
       url: "https://pub.dev"
     source: hosted
-    version: "15.0.0"
+    version: "15.0.2"
 sdks:
-  dart: ">=3.7.2 <4.0.0"
+  dart: ">=3.8.0-0 <4.0.0"
   flutter: ">=3.18.0-18.0.pre.54"