使用 Flutter 构建字谜游戏

1. 准备工作

假设有人问您是否有可能制作出世界上最大的纵横字谜。您回忆起在学校学到的一些 AI 技术，并想知道是否可以使用 Flutter 来探索算法选项，以创建计算密集型问题的解决方案。

在此 Codelab 中，您将执行此操作。最后，您将构建一个工具，用于在构建字谜网格的算法空间中进行游戏。对于什么是有效的纵横字谜，有许多不同的定义，而这些技巧可帮助您构建符合您定义的字谜。

以该工具为基础，您随后会制作一个填字游戏，并使用填字游戏生成器来构建供用户解答的谜题。此拼图可在 Android、iOS、Windows、macOS 和 Linux 上使用。以下是 Android 设备上的显示效果：

前提条件

• 已学完创建您的第一个 Flutter 应用 Codelab

学习内容

• 如何使用隔离区执行计算密集型工作，同时通过结合使用 Flutter 的 compute 函数和 Riverpod 的 select 重建过滤器的值缓存功能，避免阻碍 Flutter 的渲染循环。
• 如何利用 built_value 和 built_collection 实现基于搜索的传统 AI (GOFAI) 技术，例如深度优先搜索和回溯。
• 如何使用 two_dimensional_scrollables 软件包的功能以快速直观的方式显示网格数据。

总结：本 Codelab 介绍了三个关键概念：

1. 性能：使用隔离区在繁重的计算过程中保持界面响应顺畅
2. 数据管理：利用不可变的数据结构实现高效的算法
3. 界面优化：实现选择性重建，以实现流畅的网格渲染

所需条件

• Flutter SDK。
• Visual Studio Code (VS Code)，并安装了 Flutter 和 Dart 插件。
• 所选开发目标的编译器软件。此 Codelab 适用于所有桌面平台、Android 和 iOS。您需要使用 VS Code 以 Windows 为目标平台，使用 Xcode 以 macOS 或 iOS 为目标平台，以及使用 Android Studio 以 Android 为目标平台。

2. 创建项目

创建您的第一个 Flutter 项目

1. 启动 VS Code。
2. 打开命令面板（在 Windows/Linux 上按 Ctrl+Shift+P，在 macOS 上按 Cmd+Shift+P），输入“flutter new”，然后在菜单中选择 Flutter: New Project。

3. 选择 Empty application，然后选择要在哪个目录中创建项目。此目录应为不需要提升权限或路径中不含空格的任何目录。例如，您的主目录或 C:\src\。

4. 将项目命名为 generate_crossword。本 Codelab 的其余部分假定您将应用命名为 generate_crossword。

现在，Flutter 会创建项目文件夹，然后在 VS Code 中打开该文件夹。您现在将使用应用的基本基架来覆盖两个文件的内容。

复制并粘贴初始应用

1. 在 VS Code 的左侧窗格中，点击 Explorer，然后打开 pubspec.yaml 文件。

2. 将此文件的内容替换为生成纵横字谜所需的以下依赖项：

pubspec.yaml

name: generate_crossword
description: "A new Flutter project."
publish_to: 'none'
version: 0.1.0

environment:
  sdk: ^3.9.0

dependencies:
  flutter:
    sdk: flutter
  built_collection: ^5.1.1
  built_value: ^8.10.1
  characters: ^1.4.0
  flutter_riverpod: ^2.6.1
  intl: ^0.20.2
  riverpod: ^2.6.1
  riverpod_annotation: ^2.6.1
  two_dimensional_scrollables: ^0.3.7

dev_dependencies:
  flutter_test:
    sdk: flutter
  flutter_lints: ^5.0.0
  build_runner: ^2.5.4
  built_value_generator: ^8.10.1
  custom_lint: ^0.7.6
  riverpod_generator: ^2.6.5
  riverpod_lint: ^2.6.5

flutter:
  uses-material-design: true

pubspec.yaml 文件指定与您的应用相关的基本信息，例如其当前版本和依赖项。您会看到一系列不属于正常空 Flutter 应用的依赖项。在接下来的步骤中，您将受益于所有这些软件包。

关键依赖项说明：

• built_value/built_collection：用于高效算法的不可变数据结构
• flutter_riverpod：具有性能优化的状态管理
• two_dimensional_scrollables：高性能网格显示
• characters：正确的 Unicode 字符串处理

了解依赖项

在深入研究代码之前，我们先来了解一下为何选择这些特定的软件包：

• built_value：创建可高效共享内存的不可变对象，这对回溯算法至关重要
• Riverpod：通过 select() 提供精细的状态管理，以最大限度地减少重建
• two_dimensional_scrollables：处理大型网格，而不会影响性能

3. 打开 lib/ 目录中的 main.dart 文件。

4. 将此文件的内容替换为以下内容。

lib/main.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';

void main() {
  runApp(
    ProviderScope(
      child: MaterialApp(
        title: 'Crossword Builder',
        debugShowCheckedModeBanner: false,
        theme: ThemeData(
          colorSchemeSeed: Colors.blueGrey,
          brightness: Brightness.light,
        ),
        home: Scaffold(
          body: Center(
            child: Text('Hello, World!', style: TextStyle(fontSize: 24)),
          ),
        ),
      ),
    ),
  );
}

5. 运行此代码以检查一切是否正常。它应显示一个新窗口，其中包含每个新项目的强制性起始短语。有一个 ProviderScope 表明此应用将使用 riverpod 进行状态管理。

检查点：基本应用正在运行

此时，您应该会看到一个“Hello, World!”窗口。如果不允许：

• 检查 Flutter 是否已正确安装
• 使用 flutter run 验证应用是否正常运行
• 确保终端中没有编译错误

注意：macOS 上的全尺寸内容视图效果是通过修改 macos/Runner/Base.lproj/MainMenu.xib XML 文件实现的，具体方法是将属性 titlebarAppearsTransparent="YES" 和 titleVisibility="hidden" 添加到 //document/objects/window XML 节点，并将 fullSizeContentView="YES" 添加到 //document/objects/window/windowStyleMask XML 节点。如果您想深入了解如何让 Flutter 应用在 macOS 上看起来更像原生应用，请参阅 macos_window_utils 和 macos_ui Flutter 软件包。

3. 添加字词

纵横字谜的组成要素

从本质上讲，填字游戏就是一份字词列表。字词排列在网格中，有些横向排列，有些纵向排列，使字词相互交错。解出一个字词后，您会获得与该字词交叉的字词的线索。因此，一个良好的初始构建块是字词列表。

这些字词的一个很好的来源是 Peter Norvig 的自然语言语料库数据页面。SOWPODS 列表包含 267,750 个字词，是一个不错的起点。

在此步骤中，您将下载一个字词列表，将其作为资源添加到 Flutter 应用，并安排一个 Riverpod 提供程序在启动时将该列表加载到应用中。

若要开始，请按照以下步骤操作：

1. 修改项目的 pubspec.yaml 文件，为所选字词列表添加以下资源声明。此列表仅显示了应用配置的 Flutter stanza，因为其余部分保持不变。

pubspec.yaml

flutter:
  uses-material-design: true
  assets:                                       # Add this line
    - assets/words.txt                          # And this one.

您的编辑器可能会突出显示最后一行并发出警告，因为您尚未创建此文件。

2. 使用浏览器和编辑器，在项目顶层创建 assets 目录，并在其中创建一个 words.txt 文件，其中包含之前链接的某个字词列表。

此代码是根据前面提到的 SOWPODS 列表设计的，但应适用于仅包含 A-Z 字符的任何字词列表。将此代码库扩展为可处理不同的字符集，留给读者作为练习。

加载字词

如需编写负责在应用启动时加载字词列表的代码，请按以下步骤操作：

1. 在 lib 目录中创建一个 providers.dart 文件。
2. 将以下内容添加到该文件中：

lib/providers.dart

import 'dart:convert';

import 'package:built_collection/built_collection.dart';
import 'package:flutter/services.dart';
import 'package:riverpod/riverpod.dart';
import 'package:riverpod_annotation/riverpod_annotation.dart';

part 'providers.g.dart';

/// A provider for the wordlist to use when generating the crossword.
@riverpod
Future<BuiltSet<String>> wordList(Ref ref) async {
  // This codebase requires that all words consist of lowercase characters
  // in the range 'a'-'z'. Words containing uppercase letters will be
  // lowercased, and words containing runes outside this range will
  // be removed.

  final re = RegExp(r'^[a-z]+$');
  final words = await rootBundle.loadString('assets/words.txt');
  return const LineSplitter()
      .convert(words)
      .toBuiltSet()
      .rebuild(
        (b) => b
          ..map((word) => word.toLowerCase().trim())
          ..where((word) => word.length > 2)
          ..where((word) => re.hasMatch(word)),
      );
}

这是您为相应代码库创建的第一个 Riverpod 提供程序。

预期错误：编辑器会为未定义的文件 providers.g.dart 显示红色下划线。这是正常现象 - 这些文件将在下一步中由 build_runner 工具生成。

此提供商的工作方式：

1. 从资源中异步加载字词列表
2. 过滤字词，仅包含长度超过 2 个字母的 a-z 字符
3. 返回不可变的 BuiltSet 以实现高效的随机访问

此项目使用代码生成功能来处理多个依赖项，包括 Riverpod。

3. 如需开始生成代码，请运行以下命令：

$ dart run build_runner watch -d
[INFO] Generating build script completed, took 174ms
[INFO] Setting up file watchers completed, took 5ms
[INFO] Waiting for all file watchers to be ready completed, took 202ms
[INFO] Reading cached asset graph completed, took 65ms
[INFO] Checking for updates since last build completed, took 680ms
[INFO] Running build completed, took 2.3s
[INFO] Caching finalized dependency graph completed, took 42ms
[INFO] Succeeded after 2.3s with 122 outputs (243 actions)

它将继续在后台运行，并在您更改项目时更新生成的文件。此命令在 providers.g.dart 中生成代码后，编辑器应该会接受您添加到 providers.dart 中的代码。

在 Riverpod 中，像您之前定义的 wordList 函数这样的提供程序通常会延迟实例化。不过，就此应用而言，您需要急切加载字词列表。Riverpod 文档建议采用以下方法来处理需要急切加载的提供程序。您现在将实现该功能。

4. 在 lib/widgets 目录中创建一个 crossword_generator_app.dart 文件。
5. 将以下内容添加到该文件中：

lib/widgets/crossword_generator_app.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';

import '../providers.dart';

class CrosswordGeneratorApp extends StatelessWidget {
  const CrosswordGeneratorApp({super.key});

  @override
  Widget build(BuildContext context) {
    return _EagerInitialization(
      child: Scaffold(
        appBar: AppBar(
          titleTextStyle: TextStyle(
            color: Theme.of(context).colorScheme.primary,
            fontSize: 16,
            fontWeight: FontWeight.bold,
          ),
          title: Text('Crossword Generator'),
        ),
        body: SafeArea(
          child: Consumer(
            builder: (context, ref, _) {
              final wordListAsync = ref.watch(wordListProvider);
              return wordListAsync.when(
                data: (wordList) => ListView.builder(
                  itemCount: wordList.length,
                  itemBuilder: (context, index) {
                    return ListTile(title: Text(wordList.elementAt(index)));
                  },
                ),
                error: (error, stackTrace) => Center(child: Text('$error')),
                loading: () => Center(child: CircularProgressIndicator()),
              );
            },
          ),
        ),
      ),
    );
  }
}

class _EagerInitialization extends ConsumerWidget {
  const _EagerInitialization({required this.child});
  final Widget child;

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    ref.watch(wordListProvider);
    return child;
  }
}

这个文件之所以有趣，是因为它从两个不同的角度来看都很有意思。第一个是 _EagerInitialization widget，其唯一任务是要求您之前创建的 wordList 提供程序加载字词列表。此 widget 通过使用 ref.watch() 调用监听提供程序来实现此目标。如需详细了解此技术，请参阅 Riverpod 文档中的提供程序的急切初始化。

此文件中需要注意的第二个有趣的点是 Riverpod 如何处理异步内容。您可能还记得，wordList 提供程序被定义为异步函数，因为从磁盘加载内容的速度很慢。在此代码中，当您观看字词列表提供方时，会收到 AsyncValue<BuiltSet<String>>。该类型的 AsyncValue 部分是提供程序的异步世界与 widget 的 build 方法的同步世界之间的适配器。

AsyncValue 的 when 方法可处理未来值可能处于的三种潜在状态。future 可能已成功解析，在这种情况下，系统会调用 data 回调；future 可能处于错误状态，在这种情况下，系统会调用 error 回调；最后，future 可能仍在加载。这三个回调的返回类型必须具有兼容的返回类型，因为被调用的回调的返回结果由 when 方法返回。在此实例中，when 方法的结果显示为 Scaffold widget 的 body。

创建近乎无限的列表应用

如需将 CrosswordGeneratorApp widget 集成到您的应用中，请按以下步骤操作：

1. 添加以下代码，更新 lib/main.dart 文件：

lib/main.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';

import 'widgets/crossword_generator_app.dart';             // Add this import

void main() {
  runApp(
    ProviderScope(
      child: MaterialApp(
        title: 'Crossword Builder',
        debugShowCheckedModeBanner: false,
        theme: ThemeData(
          colorSchemeSeed: Colors.blueGrey,
          brightness: Brightness.light,
        ),
        home: CrosswordGeneratorApp(),                     // Remove what was here and replace
      ),
    ),
  );
}

2. 重启应用。您应该会看到一个滚动列表，其中包含字典中的所有 267,750 多个字词。

接下来您将构建什么

现在，您将使用不可变对象为纵横字谜创建核心数据结构。这一基础将有助于实现高效的算法和流畅的界面更新。

4. 以网格形式显示字词

在此步骤中，您将创建一个数据结构，用于使用 built_value 和 built_collection 软件包创建纵横字谜。这两个软件包可用于将数据结构构建为不可变的值，这对于在 Isolate 之间传递数据以及更轻松地实现深度优先搜索和回溯都非常有用。

若要开始，请按照以下步骤操作：

1. 在 lib 目录中创建一个 model.dart 文件，然后向该文件中添加以下内容：

lib/model.dart

import 'package:built_collection/built_collection.dart';
import 'package:built_value/built_value.dart';
import 'package:built_value/serializer.dart';
import 'package:characters/characters.dart';

part 'model.g.dart';

/// A location in a crossword.
abstract class Location implements Built<Location, LocationBuilder> {
  static Serializer<Location> get serializer => _$locationSerializer;

  /// The horizontal part of the location. The location is 0 based.
  int get x;

  /// The vertical part of the location. The location is 0 based.
  int get y;

  /// Returns a new location that is one step to the left of this location.
  Location get left => rebuild((b) => b.x = x - 1);

  /// Returns a new location that is one step to the right of this location.
  Location get right => rebuild((b) => b.x = x + 1);

  /// Returns a new location that is one step up from this location.
  Location get up => rebuild((b) => b.y = y - 1);

  /// Returns a new location that is one step down from this location.
  Location get down => rebuild((b) => b.y = y + 1);

  /// Returns a new location that is [offset] steps to the left of this location.
  Location leftOffset(int offset) => rebuild((b) => b.x = x - offset);

  /// Returns a new location that is [offset] steps to the right of this location.
  Location rightOffset(int offset) => rebuild((b) => b.x = x + offset);

  /// Returns a new location that is [offset] steps up from this location.
  Location upOffset(int offset) => rebuild((b) => b.y = y - offset);

  /// Returns a new location that is [offset] steps down from this location.
  Location downOffset(int offset) => rebuild((b) => b.y = y + offset);

  /// Pretty print a location as a (x,y) coordinate.
  String prettyPrint() => '($x,$y)';

  /// Returns a new location built from [updates]. Both [x] and [y] are
  /// required to be non-null.
  factory Location([void Function(LocationBuilder)? updates]) = _$Location;
  Location._();

  /// Returns a location at the given coordinates.
  factory Location.at(int x, int y) {
    return Location((b) {
      b
        ..x = x
        ..y = y;
    });
  }
}

/// The direction of a word in a crossword.
enum Direction {
  across,
  down;

  @override
  String toString() => name;
}

/// A word in a crossword. This is a word at a location in a crossword, in either
/// the across or down direction.
abstract class CrosswordWord
    implements Built<CrosswordWord, CrosswordWordBuilder> {
  static Serializer<CrosswordWord> get serializer => _$crosswordWordSerializer;

  /// The word itself.
  String get word;

  /// The location of this word in the crossword.
  Location get location;

  /// The direction of this word in the crossword.
  Direction get direction;

  /// Compare two CrosswordWord by coordinates, x then y.
  static int locationComparator(CrosswordWord a, CrosswordWord b) {
    final compareRows = a.location.y.compareTo(b.location.y);
    final compareColumns = a.location.x.compareTo(b.location.x);
    return switch (compareColumns) {
      0 => compareRows,
      _ => compareColumns,
    };
  }

  /// Constructor for [CrosswordWord].
  factory CrosswordWord.word({
    required String word,
    required Location location,
    required Direction direction,
  }) {
    return CrosswordWord(
      (b) => b
        ..word = word
        ..direction = direction
        ..location.replace(location),
    );
  }

  /// Constructor for [CrosswordWord].
  /// Use [CrosswordWord.word] instead.
  factory CrosswordWord([void Function(CrosswordWordBuilder)? updates]) =
      _$CrosswordWord;
  CrosswordWord._();
}

/// A character in a crossword. This is a single character at a location in a
/// crossword. It may be part of an across word, a down word, both, but not
/// neither. The neither constraint is enforced elsewhere.
abstract class CrosswordCharacter
    implements Built<CrosswordCharacter, CrosswordCharacterBuilder> {
  static Serializer<CrosswordCharacter> get serializer =>
      _$crosswordCharacterSerializer;

  /// The character at this location.
  String get character;

  /// The across word that this character is a part of.
  CrosswordWord? get acrossWord;

  /// The down word that this character is a part of.
  CrosswordWord? get downWord;

  /// Constructor for [CrosswordCharacter].
  /// [acrossWord] and [downWord] are optional.
  factory CrosswordCharacter.character({
    required String character,
    CrosswordWord? acrossWord,
    CrosswordWord? downWord,
  }) {
    return CrosswordCharacter((b) {
      b.character = character;
      if (acrossWord != null) {
        b.acrossWord.replace(acrossWord);
      }
      if (downWord != null) {
        b.downWord.replace(downWord);
      }
    });
  }

  /// Constructor for [CrosswordCharacter].
  /// Use [CrosswordCharacter.character] instead.
  factory CrosswordCharacter([
    void Function(CrosswordCharacterBuilder)? updates,
  ]) = _$CrosswordCharacter;
  CrosswordCharacter._();
}

/// A crossword puzzle. This is a grid of characters with words placed in it.
/// The puzzle constraint is in the English crossword puzzle tradition.
abstract class Crossword implements Built<Crossword, CrosswordBuilder> {
  /// Serializes and deserializes the [Crossword] class.
  static Serializer<Crossword> get serializer => _$crosswordSerializer;

  /// Width across the [Crossword] puzzle.
  int get width;

  /// Height down the [Crossword] puzzle.
  int get height;

  /// The words in the crossword.
  BuiltList<CrosswordWord> get words;

  /// The characters by location. Useful for displaying the crossword.
  BuiltMap<Location, CrosswordCharacter> get characters;

  /// Add a word to the crossword at the given location and direction.
  Crossword addWord({
    required Location location,
    required String word,
    required Direction direction,
  }) {
    return rebuild(
      (b) => b
        ..words.add(
          CrosswordWord.word(
            word: word,
            direction: direction,
            location: location,
          ),
        ),
    );
  }

  /// As a finalize step, fill in the characters map.
  @BuiltValueHook(finalizeBuilder: true)
  static void _fillCharacters(CrosswordBuilder b) {
    b.characters.clear();

    for (final word in b.words.build()) {
      for (final (idx, character) in word.word.characters.indexed) {
        switch (word.direction) {
          case Direction.across:
            b.characters.updateValue(
              word.location.rightOffset(idx),
              (b) => b.rebuild((bInner) => bInner.acrossWord.replace(word)),
              ifAbsent: () => CrosswordCharacter.character(
                acrossWord: word,
                character: character,
              ),
            );
          case Direction.down:
            b.characters.updateValue(
              word.location.downOffset(idx),
              (b) => b.rebuild((bInner) => bInner.downWord.replace(word)),
              ifAbsent: () => CrosswordCharacter.character(
                downWord: word,
                character: character,
              ),
            );
        }
      }
    }
  }

  /// Pretty print a crossword. Generates the character grid, and lists
  /// the down words and across words sorted by location.
  String prettyPrintCrossword() {
    final buffer = StringBuffer();
    final grid = List.generate(
      height,
      (_) => List.generate(
        width,
        (_) => '░', // https://www.compart.com/en/unicode/U+2591
      ),
    );

    for (final MapEntry(key: Location(:x, :y), value: character)
        in characters.entries) {
      grid[y][x] = character.character;
    }

    for (final row in grid) {
      buffer.writeln(row.join());
    }

    buffer.writeln();
    buffer.writeln('Across:');
    for (final word
        in words.where((word) => word.direction == Direction.across).toList()
          ..sort(CrosswordWord.locationComparator)) {
      buffer.writeln('${word.location.prettyPrint()}: ${word.word}');
    }

    buffer.writeln();
    buffer.writeln('Down:');
    for (final word
        in words.where((word) => word.direction == Direction.down).toList()
          ..sort(CrosswordWord.locationComparator)) {
      buffer.writeln('${word.location.prettyPrint()}: ${word.word}');
    }

    return buffer.toString();
  }

  /// Constructor for [Crossword].
  factory Crossword.crossword({
    required int width,
    required int height,
    Iterable<CrosswordWord>? words,
  }) {
    return Crossword((b) {
      b
        ..width = width
        ..height = height;
      if (words != null) {
        b.words.addAll(words);
      }
    });
  }

  /// Constructor for [Crossword].
  /// Use [Crossword.crossword] instead.
  factory Crossword([void Function(CrosswordBuilder)? updates]) = _$Crossword;
  Crossword._();
}

/// Construct the serialization/deserialization code for the data model.
@SerializersFor([Location, Crossword, CrosswordWord, CrosswordCharacter])
final Serializers serializers = _$serializers;

注意：如果您仍有在上一步中运行的 dart run build_runner watch -d，您会看到出现一个 model.g.dart 文件。如果不是，现在是重新开始 build_runner 的好时机。

此文件描述了您将用于创建纵横字谜的数据结构的开头。从本质上讲，纵横字谜就是一系列水平和垂直排列的单词，它们相互交错在一个网格中。如需使用此数据结构，您可以使用 Crossword.crossword 命名构造函数构建适当大小的 Crossword，然后使用 addWord 方法添加字词。在构建最终值时，_fillCharacters 方法会创建一个 CrosswordCharacter 网格。

注意：此时，系统不会验证添加的字词是否与填字游戏中已有的其他字词相符。此问题将在后续步骤中修复。

如需使用此数据结构，请按以下步骤操作：

1. 在 lib 目录中创建一个 utils 文件，然后向该文件中添加以下内容：

lib/utils.dart

import 'dart:math';

import 'package:built_collection/built_collection.dart';

/// A [Random] instance for generating random numbers.
final _random = Random();

/// An extension on [BuiltSet] that adds a method to get a random element.
extension RandomElements<E> on BuiltSet<E> {
  E randomElement() {
    return elementAt(_random.nextInt(length));
  }
}

这是 BuiltSet 的扩展，可轻松检索集合的随机元素。扩展方法是使用附加功能扩展类的好方法。必须为扩展程序命名，才能在 utils.dart 文件之外使用该扩展程序。

2. 在 lib/providers.dart 文件中，添加以下导入内容：

lib/providers.dart

import 'dart:convert';
import 'dart:math';                                        // Add this import

import 'package:built_collection/built_collection.dart';
import 'package:flutter/foundation.dart';                  // Add this import
import 'package:flutter/services.dart';
import 'package:riverpod_annotation/riverpod_annotation.dart';

import 'model.dart' as model;                              // And this import
import 'utils.dart';                                       // And this one

part 'providers.g.dart';

/// A provider for the wordlist to use when generating the crossword.
@riverpod
Future<BuiltSet<String>> wordList(WordListRef ref) async {

这些导入会向您即将创建的提供程序公开之前定义的模型。dart:math 导入项包含在 Random 中，flutter/foundation.dart 导入项包含在 debugPrint 中，model.dart 包含在模型中，utils.dart 包含在 BuiltSet 扩展程序中。

3. 在同一文件的末尾，添加以下提供程序：

lib/providers.dart

/// An enumeration for different sizes of [model.Crossword]s.
enum CrosswordSize {
  small(width: 20, height: 11),
  medium(width: 40, height: 22),
  large(width: 80, height: 44),
  xlarge(width: 160, height: 88),
  xxlarge(width: 500, height: 500);

  const CrosswordSize({required this.width, required this.height});

  final int width;
  final int height;
  String get label => '$width x $height';
}

/// A provider that holds the current size of the crossword to generate.
@Riverpod(keepAlive: true)
class Size extends _$Size {
  var _size = CrosswordSize.medium;

  @override
  CrosswordSize build() => _size;

  void setSize(CrosswordSize size) {
    _size = size;
    ref.invalidateSelf();
  }
}

final _random = Random();

@riverpod
Stream<model.Crossword> crossword(Ref ref) async* {
  final size = ref.watch(sizeProvider);
  final wordListAsync = ref.watch(wordListProvider);

  var crossword = model.Crossword.crossword(
    width: size.width,
    height: size.height,
  );

  yield* wordListAsync.when(
    data: (wordList) async* {
      while (crossword.characters.length < size.width * size.height * 0.8) {
        final word = wordList.randomElement();
        final direction = _random.nextBool()
            ? model.Direction.across
            : model.Direction.down;
        final location = model.Location.at(
          _random.nextInt(size.width),
          _random.nextInt(size.height),
        );

        crossword = crossword.addWord(
          word: word,
          direction: direction,
          location: location,
        );
        yield crossword;
        await Future.delayed(Duration(milliseconds: 100));
      }

      yield crossword;
    },
    error: (error, stackTrace) async* {
      debugPrint('Error loading word list: $error');
      yield crossword;
    },
    loading: () async* {
      yield crossword;
    },
  );
}

这些更改会向您的应用添加两个提供程序。第一个是 Size，它实际上是一个全局变量，包含 CrosswordSize 枚举的所选值。这样，界面就可以显示并设置正在构建的纵横字谜的大小。第二个提供商 crossword 是一个更有趣的创建。它是一个返回一系列 Crossword 的函数。它使用 Dart 对生成器的支持进行构建，如函数上的 async* 所示。这意味着，它不会在遇到 return 语句时结束，而是会生成一系列 Crossword，从而以更简单的方式编写返回中间结果的计算。

由于 crossword 提供程序函数的开头有一对 ref.watch 调用，因此每次填字游戏的所选大小发生变化以及单词列表完成加载时，Riverpod 系统都会重新启动 Crossword 的数据流。

现在，您已经有了生成纵横字谜的代码，尽管其中充满了随机字词，但最好还是将它们显示给工具用户。

4. 使用以下内容在 lib/widgets 目录中创建 crossword_widget.dart 文件：

lib/widgets/crossword_widget.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';
import 'package:two_dimensional_scrollables/two_dimensional_scrollables.dart';

import '../model.dart';
import '../providers.dart';

class CrosswordWidget extends ConsumerWidget {
  const CrosswordWidget({super.key});

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    final size = ref.watch(sizeProvider);
    return TableView.builder(
      diagonalDragBehavior: DiagonalDragBehavior.free,
      cellBuilder: _buildCell,
      columnCount: size.width,
      columnBuilder: (index) => _buildSpan(context, index),
      rowCount: size.height,
      rowBuilder: (index) => _buildSpan(context, index),
    );
  }

  TableViewCell _buildCell(BuildContext context, TableVicinity vicinity) {
    final location = Location.at(vicinity.column, vicinity.row);

    return TableViewCell(
      child: Consumer(
        builder: (context, ref, _) {
          final character = ref.watch(
            crosswordProvider.select(
              (crosswordAsync) => crosswordAsync.when(
                data: (crossword) => crossword.characters[location],
                error: (error, stackTrace) => null,
                loading: () => null,
              ),
            ),
          );

          if (character != null) {
            return Container(
              color: Theme.of(context).colorScheme.onPrimary,
              child: Center(
                child: Text(
                  character.character,
                  style: TextStyle(
                    fontSize: 24,
                    color: Theme.of(context).colorScheme.primary,
                  ),
                ),
              ),
            );
          }

          return ColoredBox(
            color: Theme.of(context).colorScheme.primaryContainer,
          );
        },
      ),
    );
  }

  TableSpan _buildSpan(BuildContext context, int index) {
    return TableSpan(
      extent: FixedTableSpanExtent(32),
      foregroundDecoration: TableSpanDecoration(
        border: TableSpanBorder(
          leading: BorderSide(
            color: Theme.of(context).colorScheme.onPrimaryContainer,
          ),
          trailing: BorderSide(
            color: Theme.of(context).colorScheme.onPrimaryContainer,
          ),
        ),
      ),
    );
  }
}

此 widget 是一个 ConsumerWidget，可以直接依赖 Size 提供程序来确定网格的大小，以便在网格上显示 Crossword 的字符。此网格的显示是通过 two_dimensional_scrollables 软件包中的 TableView widget 实现的。

值得注意的是，由 _buildCell 辅助函数渲染的各个单元格在其返回的 Widget 树中都包含一个 Consumer widget。这会充当刷新边界。当 ref.watch 的返回值发生变化时，Consumer widget 内的所有内容都会重新创建。每次 Crossword 发生变化时，重新创建整个树结构是很诱人的做法，但使用此设置可以跳过大量计算。

如果您查看 ref.watch 的形参，就会发现它通过使用 crosswordProvider.select 实现了另一层避免重新计算布局的功能。这意味着，只有当单元格负责渲染的字符发生变化时，ref.watch 才会触发 TableViewCell 内容的重建。减少重新渲染是保持界面响应性的重要部分。

如需向用户公开 CrosswordWidget 和 Size 提供程序，请按如下方式更改 crossword_generator_app.dart 文件：

lib/widgets/crossword_generator_app.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';

import '../providers.dart';
import 'crossword_widget.dart';                               // Add this import

class CrosswordGeneratorApp extends StatelessWidget {
  const CrosswordGeneratorApp({super.key});

  @override
  Widget build(BuildContext context) {
    return _EagerInitialization(
      child: Scaffold(
        appBar: AppBar(
          actions: [_CrosswordGeneratorMenu()],               // Add this line
          titleTextStyle: TextStyle(
            color: Theme.of(context).colorScheme.primary,
            fontSize: 16,
            fontWeight: FontWeight.bold,
          ),
          title: Text('Crossword Generator'),
        ),
        body: SafeArea(child: CrosswordWidget()),             // Replace what was here before
      ),
    );
  }
}

class _EagerInitialization extends ConsumerWidget {
  const _EagerInitialization({required this.child});
  final Widget child;

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    ref.watch(wordListProvider);
    return child;
  }
}

class _CrosswordGeneratorMenu extends ConsumerWidget {        // Add from here
  @override
  Widget build(BuildContext context, WidgetRef ref) => MenuAnchor(
    menuChildren: [
      for (final entry in CrosswordSize.values)
        MenuItemButton(
          onPressed: () => ref.read(sizeProvider.notifier).setSize(entry),
          leadingIcon: entry == ref.watch(sizeProvider)
              ? Icon(Icons.radio_button_checked_outlined)
              : Icon(Icons.radio_button_unchecked_outlined),
          child: Text(entry.label),
        ),
    ],
    builder: (context, controller, child) => IconButton(
      onPressed: () => controller.open(),
      icon: Icon(Icons.settings),
    ),
  );                                                          // To here.
}

这里发生了一些变化。首先，负责将 wordList 渲染为 ListView 的代码已替换为对 lib/widgets/crossword_widget.dart 文件中定义的 CrosswordWidget 的调用。另一项重大更改是开始提供用于更改应用行为的菜单，首先是更改纵横字谜的大小。我们会在后续步骤中添加更多 MenuItemButton。运行应用，您会看到类似如下的内容：

屏幕上会显示一个网格，其中包含一些字符，还有一个菜单可供用户更改网格的大小。但这些字词的排列方式与填字游戏不同。这是因为没有对向纵横填字游戏中添加字词的方式施加任何限制。简而言之，情况很糟糕。您将在下一步中开始控制这些方面！

5. 强制执行限制条件

我们做出的调整以及原因

目前，您的纵横字谜允许重叠的字词，但没有验证。您将添加约束检查，以确保字词像真正的纵横字谜一样正确地相互锁定。

此步骤的目标是向模型添加代码，以强制执行填字游戏限制。纵横字谜有很多不同的类型，而本 Codelab 将采用的风格遵循的是英语纵横字谜的传统。与往常一样，修改此代码以生成其他样式的纵横字谜留给读者作为练习。

若要开始，请按照以下步骤操作：

1. 打开 model.dart 文件，并将 Crossword 模型替换为以下内容：

lib/model.dart

/// A crossword puzzle. This is a grid of characters with words placed in it.
/// The puzzle constraint is in the English crossword puzzle tradition.
abstract class Crossword implements Built<Crossword, CrosswordBuilder> {
  /// Serializes and deserializes the [Crossword] class.
  static Serializer<Crossword> get serializer => _$crosswordSerializer;

  /// Width across the [Crossword] puzzle.
  int get width;

  /// Height down the [Crossword] puzzle.
  int get height;

  /// The words in the crossword.
  BuiltList<CrosswordWord> get words;

  /// The characters by location. Useful for displaying the crossword,
  /// or checking the proposed solution.
  BuiltMap<Location, CrosswordCharacter> get characters;

  /// Checks if this crossword is valid.
  bool get valid {
    // Check that there are no duplicate words.
    final wordSet = words.map((word) => word.word).toBuiltSet();
    if (wordSet.length != words.length) {
      return false;
    }

    for (final MapEntry(key: location, value: character)
        in characters.entries) {
      // All characters must be a part of an across or down word.
      if (character.acrossWord == null && character.downWord == null) {
        return false;
      }

      // All characters must be within the crossword puzzle.
      // No drawing outside the lines.
      if (location.x < 0 ||
          location.y < 0 ||
          location.x >= width ||
          location.y >= height) {
        return false;
      }

      // Characters above and below this character must be related
      // by a vertical word
      if (characters[location.up] case final up?) {
        if (character.downWord == null) {
          return false;
        }
        if (up.downWord != character.downWord) {
          return false;
        }
      }

      if (characters[location.down] case final down?) {
        if (character.downWord == null) {
          return false;
        }
        if (down.downWord != character.downWord) {
          return false;
        }
      }

      // Characters to the left and right of this character must be
      // related by a horizontal word
      final left = characters[location.left];
      if (left != null) {
        if (character.acrossWord == null) {
          return false;
        }
        if (left.acrossWord != character.acrossWord) {
          return false;
        }
      }

      final right = characters[location.right];
      if (right != null) {
        if (character.acrossWord == null) {
          return false;
        }
        if (right.acrossWord != character.acrossWord) {
          return false;
        }
      }
    }

    return true;
  }

  /// Add a word to the crossword at the given location and direction.
  Crossword? addWord({
    required Location location,
    required String word,
    required Direction direction,
  }) {
    // Require that the word is not already in the crossword.
    if (words.map((crosswordWord) => crosswordWord.word).contains(word)) {
      return null;
    }

    final wordCharacters = word.characters;
    bool overlap = false;

    // Check that the word fits in the crossword.
    for (final (index, character) in wordCharacters.indexed) {
      final characterLocation = switch (direction) {
        Direction.across => location.rightOffset(index),
        Direction.down => location.downOffset(index),
      };

      final target = characters[characterLocation];
      if (target != null) {
        overlap = true;
        if (target.character != character) {
          return null;
        }
        if (direction == Direction.across && target.acrossWord != null ||
            direction == Direction.down && target.downWord != null) {
          return null;
        }
      }
    }
    if (words.isNotEmpty && !overlap) {
      return null;
    }

    final candidate = rebuild(
      (b) => b
        ..words.add(
          CrosswordWord.word(
            word: word,
            direction: direction,
            location: location,
          ),
        ),
    );

    if (candidate.valid) {
      return candidate;
    } else {
      return null;
    }
  }

  /// As a finalize step, fill in the characters map.
  @BuiltValueHook(finalizeBuilder: true)
  static void _fillCharacters(CrosswordBuilder b) {
    b.characters.clear();

    for (final word in b.words.build()) {
      for (final (idx, character) in word.word.characters.indexed) {
        switch (word.direction) {
          case Direction.across:
            b.characters.updateValue(
              word.location.rightOffset(idx),
              (b) => b.rebuild((bInner) => bInner.acrossWord.replace(word)),
              ifAbsent: () => CrosswordCharacter.character(
                acrossWord: word,
                character: character,
              ),
            );
          case Direction.down:
            b.characters.updateValue(
              word.location.downOffset(idx),
              (b) => b.rebuild((bInner) => bInner.downWord.replace(word)),
              ifAbsent: () => CrosswordCharacter.character(
                downWord: word,
                character: character,
              ),
            );
        }
      }
    }
  }

  /// Pretty print a crossword. Generates the character grid, and lists
  /// the down words and across words sorted by location.
  String prettyPrintCrossword() {
    final buffer = StringBuffer();
    final grid = List.generate(
      height,
      (_) => List.generate(
        width,
        (_) => '░', // https://www.compart.com/en/unicode/U+2591
      ),
    );

    for (final MapEntry(key: Location(:x, :y), value: character)
        in characters.entries) {
      grid[y][x] = character.character;
    }

    for (final row in grid) {
      buffer.writeln(row.join());
    }

    buffer.writeln();
    buffer.writeln('Across:');
    for (final word
        in words.where((word) => word.direction == Direction.across).toList()
          ..sort(CrosswordWord.locationComparator)) {
      buffer.writeln('${word.location.prettyPrint()}: ${word.word}');
    }

    buffer.writeln();
    buffer.writeln('Down:');
    for (final word
        in words.where((word) => word.direction == Direction.down).toList()
          ..sort(CrosswordWord.locationComparator)) {
      buffer.writeln('${word.location.prettyPrint()}: ${word.word}');
    }

    return buffer.toString();
  }

  /// Constructor for [Crossword].
  factory Crossword.crossword({
    required int width,
    required int height,
    Iterable<CrosswordWord>? words,
  }) {
    return Crossword((b) {
      b
        ..width = width
        ..height = height;
      if (words != null) {
        b.words.addAll(words);
      }
    });
  }

  /// Constructor for [Crossword].
  /// Use [Crossword.crossword] instead.
  factory Crossword([void Function(CrosswordBuilder)? updates]) = _$Crossword;
  Crossword._();
}

请注意，您对 model.dart 和 providers.dart 文件所做的更改需要 build_runner 处于运行状态，才能更新相应的 model.g.dart 和 providers.g.dart 文件。如果这些文件尚未自动更新，现在是使用 dart run build_runner watch -d 重新启动 build_runner 的好时机。

如需利用模型层中的这项新功能，您需要更新提供程序层以进行匹配。

2. 按如下方式修改 providers.dart 文件：

lib/providers.dart

import 'dart:convert';
import 'dart:math';

import 'package:built_collection/built_collection.dart';
import 'package:flutter/foundation.dart';
import 'package:flutter/services.dart';
import 'package:riverpod_annotation/riverpod_annotation.dart';

import 'model.dart' as model;
import 'utils.dart';

part 'providers.g.dart';

/// A provider for the wordlist to use when generating the crossword.
@riverpod
Future<BuiltSet<String>> wordList(WordListRef ref) async {
  // This codebase requires that all words consist of lowercase characters
  // in the range 'a'-'z'. Words containing uppercase letters will be
  // lowercased, and words containing runes outside this range will
  // be removed.

  final re = RegExp(r'^[a-z]+$');
  final words = await rootBundle.loadString('assets/words.txt');
  return const LineSplitter().convert(words).toBuiltSet().rebuild((b) => b
    ..map((word) => word.toLowerCase().trim())
    ..where((word) => word.length > 2)
    ..where((word) => re.hasMatch(word)));
}

/// An enumeration for different sizes of [model.Crossword]s.
enum CrosswordSize {
  small(width: 20, height: 11),
  medium(width: 40, height: 22),
  large(width: 80, height: 44),
  xlarge(width: 160, height: 88),
  xxlarge(width: 500, height: 500);

  const CrosswordSize({
    required this.width,
    required this.height,
  });

  final int width;
  final int height;
  String get label => '$width x $height';
}

/// A provider that holds the current size of the crossword to generate.
@Riverpod(keepAlive: true)
class Size extends _$Size {
  var _size = CrosswordSize.medium;

  @override
  CrosswordSize build() => _size;

  void setSize(CrosswordSize size) {
    _size = size;
    ref.invalidateSelf();
  }
}

final _random = Random();

@riverpod
Stream<model.Crossword> crossword(CrosswordRef ref) async* {
  final size = ref.watch(sizeProvider);
  final wordListAsync = ref.watch(wordListProvider);

  var crossword =
      model.Crossword.crossword(width: size.width, height: size.height);

  yield* wordListAsync.when(
    data: (wordList) async* {
      while (crossword.characters.length < size.width * size.height * 0.8) {
        final word = wordList.randomElement();
        final direction =
            _random.nextBool() ? model.Direction.across : model.Direction.down;
        final location = model.Location.at(
            _random.nextInt(size.width), _random.nextInt(size.height));

        var candidate = crossword.addWord(                 // Edit from here
            word: word, direction: direction, location: location);
        await Future.delayed(Duration(milliseconds: 10));
        if (candidate != null) {
          debugPrint('Added word: $word');
          crossword = candidate;
          yield crossword;
        } else {
          debugPrint('Failed to add word: $word');
        }                                                  // To here.
      }

      yield crossword;
    },
    error: (error, stackTrace) async* {
      debugPrint('Error loading word list: $error');
      yield crossword;
    },
    loading: () async* {
      yield crossword;
    },
  );
}

3. 运行应用。界面上没有太多变化，但如果您查看日志，就会发现很多变化。

如果您仔细想想这里发生的情况，就会发现我们看到的是随机出现的填字游戏。Crossword 模型中的 addWord 方法会拒绝任何不适合当前填字游戏的建议字词，因此我们看到任何字词出现都令人惊讶。

为什么要改用后台处理？

您可能会注意到，在生成纵横字谜期间，界面会变得无响应。这是因为字谜生成涉及数千次验证检查。这些计算会阻塞 Flutter 的 60fps 渲染循环，因此您需要将繁重的计算移至后台隔离区。这样做的好处是，在后台生成拼图时，界面仍能保持流畅

为了更系统地选择要在何处尝试哪些字词，将此计算移出界面线程并移入后台隔离区会非常有帮助。Flutter 提供了一个非常有用的封装容器，用于获取一部分工作并在后台隔离区中运行，即 compute 函数。

4. 在 providers.dart 文件中，按如下方式修改字谜提供程序：

lib/providers.dart

@riverpod
Stream<model.Crossword> crossword(Ref ref) async* {
  final size = ref.watch(sizeProvider);
  final wordListAsync = ref.watch(wordListProvider);

  var crossword = model.Crossword.crossword(
    width: size.width,
    height: size.height,
  );

  yield* wordListAsync.when(
    data: (wordList) async* {
      while (crossword.characters.length < size.width * size.height * 0.8) {
        final word = wordList.randomElement();
        final direction = _random.nextBool()
            ? model.Direction.across
            : model.Direction.down;
        final location = model.Location.at(
          _random.nextInt(size.width),
          _random.nextInt(size.height),
        );
        try {                                              // Edit from here
          var candidate = await compute((
            (String, model.Direction, model.Location) wordToAdd,
          ) {
            final (word, direction, location) = wordToAdd;
            return crossword.addWord(
              word: word,
              direction: direction,
              location: location,
            );
          }, (word, direction, location));

          if (candidate != null) {
            crossword = candidate;
            yield crossword;
          }
        } catch (e) {
          debugPrint('Error running isolate: $e');
        }                                                  // To here.
      }

      yield crossword;
    },
    error: (error, stackTrace) async* {
      debugPrint('Error loading word list: $error');
      yield crossword;
    },
    loading: () async* {
      yield crossword;
    },
  );
}

了解隔离限制

此代码可以正常运行，但存在一个隐藏问题。隔离区对它们之间可以传递的数据有严格的规定，问题在于闭包“捕获”了提供程序引用，该引用无法序列化并发送到另一个隔离区。

当系统尝试发送不可序列化的数据时，您会看到以下内容：

flutter: Error running isolate: Invalid argument(s): Illegal argument in isolate message: object is unsendable - Library:'dart:async' Class: _Future@4048458 (see restrictions listed at `SendPort.send()` documentation for more information)
flutter:  <- Instance of 'AutoDisposeStreamProviderElement<Crossword>' (from package:riverpod/src/stream_provider.dart)
flutter:  <- Context num_variables: 2 <- Context num_variables: 1 parent:{ Context num_variables: 2 }
flutter:  <- Context num_variables: 1 parent:{ Context num_variables: 1 parent:{ Context num_variables: 2 } }
flutter:  <- Closure: () => Crossword? (from package:generate_crossword/providers.dart)

这是 compute 移交给后台隔离区的闭包关闭提供程序的结果，该提供程序无法通过 SendPort.send() 发送。一种解决方法是确保闭包没有要关闭的不可发送的内容。

第一步是将提供程序与 Isolate 代码分离。

5. 在 lib 目录中创建一个 isolates.dart 文件，然后向其中添加以下内容：

lib/isolates.dart

import 'dart:math';

import 'package:built_collection/built_collection.dart';
import 'package:flutter/foundation.dart';

import 'model.dart';
import 'utils.dart';

final _random = Random();

Stream<Crossword> exploreCrosswordSolutions({
  required Crossword crossword,
  required BuiltSet<String> wordList,
}) async* {
  while (crossword.characters.length <
      crossword.width * crossword.height * 0.8) {
    final word = wordList.randomElement();
    final direction = _random.nextBool() ? Direction.across : Direction.down;
    final location = Location.at(
      _random.nextInt(crossword.width),
      _random.nextInt(crossword.height),
    );
    try {
      var candidate = await compute(((String, Direction, Location) wordToAdd) {
        final (word, direction, location) = wordToAdd;
        return crossword.addWord(
          word: word,
          direction: direction,
          location: location,
        );
      }, (word, direction, location));

      if (candidate != null) {
        crossword = candidate;
        yield crossword;
      }
    } catch (e) {
      debugPrint('Error running isolate: $e');
    }
  }
}

此代码应该看起来相当熟悉。它是 crossword 提供程序中的核心内容，但现在是一个独立的生成器函数。现在，您可以更新 providers.dart 文件，以使用此新函数实例化后台隔离区。

lib/providers.dart

// Drop the dart:math import, the _random instance moved to isolates.dart
import 'dart:convert';

import 'package:built_collection/built_collection.dart';
import 'package:flutter/foundation.dart';
import 'package:flutter/services.dart';
import 'package:riverpod/riverpod.dart';
import 'package:riverpod_annotation/riverpod_annotation.dart';

import 'isolates.dart';                                    // Add this import
import 'model.dart' as model;
                                                           // Drop the utils.dart import

part 'providers.g.dart';

/// A provider for the wordlist to use when generating the crossword.
@riverpod
Future<BuiltSet<String>> wordList(Ref ref) async {
  // This codebase requires that all words consist of lowercase characters
  // in the range 'a'-'z'. Words containing uppercase letters will be
  // lowercased, and words containing runes outside this range will
  // be removed.

  final re = RegExp(r'^[a-z]+$');
  final words = await rootBundle.loadString('assets/words.txt');
  return const LineSplitter()
      .convert(words)
      .toBuiltSet()
      .rebuild(
        (b) => b
          ..map((word) => word.toLowerCase().trim())
          ..where((word) => word.length > 2)
          ..where((word) => re.hasMatch(word)),
      );
}

/// An enumeration for different sizes of [model.Crossword]s.
enum CrosswordSize {
  small(width: 20, height: 11),
  medium(width: 40, height: 22),
  large(width: 80, height: 44),
  xlarge(width: 160, height: 88),
  xxlarge(width: 500, height: 500);

  const CrosswordSize({required this.width, required this.height});

  final int width;
  final int height;
  String get label => '$width x $height';
}

/// A provider that holds the current size of the crossword to generate.
@Riverpod(keepAlive: true)
class Size extends _$Size {
  var _size = CrosswordSize.medium;

  @override
  CrosswordSize build() => _size;

  void setSize(CrosswordSize size) {
    _size = size;
    ref.invalidateSelf();
  }
}
                                                           // Drop the _random instance
@riverpod
Stream<model.Crossword> crossword(Ref ref) async* {
  final size = ref.watch(sizeProvider);
  final wordListAsync = ref.watch(wordListProvider);

  final emptyCrossword = model.Crossword.crossword(        // Edit from here
    width: size.width,
    height: size.height,
  );

  yield* wordListAsync.when(
    data: (wordList) => exploreCrosswordSolutions(
      crossword: emptyCrossword,
      wordList: wordList,
    ),
    error: (error, stackTrace) async* {
      debugPrint('Error loading word list: $error');
      yield emptyCrossword;
    },
    loading: () async* {
      yield emptyCrossword;                                // To here.
    },
  );
}

现在，您有了一个可以创建不同大小的纵横字谜的工具，并且在后台隔离区中进行字谜解答。compute现在，如果代码在决定尝试将哪些字词添加到纵横字谜中时能更高效就好了。

6. 管理工作队列

了解搜索策略

字谜生成功能采用的是一种系统性的试错方法，即回溯。首先，应用会尝试在某个位置放置一个字词，然后检查该字词是否与现有字词相符。如果可以，请保留该字词并尝试下一个字词。如果不是，请将其移除并尝试其他位置。

回溯适用于填字游戏，因为每个字词的放置都会为后续字词创建限制，从而快速检测并放弃无效的放置。不可变数据结构可高效地“撤消”更改。

当前代码存在的部分问题是，所要解决的问题实际上是一个搜索问题，而当前的解决方案是盲目搜索。如果代码专注于查找可附加到当前字词的字词，而不是尝试在网格上的任意位置随机放置字词，那么系统会更快地找到解决方案。一种方法是引入一个位置工作队列，尝试为这些位置查找字词。

该代码会构建候选解决方案，检查候选解决方案是否有效，并根据有效性决定是纳入还是舍弃候选解决方案。这是回溯算法系列中的一个实现示例。built_value 和 built_collection 大大简化了此实现，它们能够创建新的不可变值，这些值派生自（因此共享）它们所派生的不可变值的通用状态。这样一来，便可以低成本地利用潜在候选对象，而无需进行深层复制所需的内存。

注意：什么是回溯？根据维基百科的定义，回溯是一种算法，用于寻找某些计算问题的解决方案，尤其是约束满足问题。该算法会逐步构建候选解决方案，并在确定候选解决方案无法完成为有效解决方案时放弃该候选解决方案或进行回溯。如需了解详情，请参阅回溯。

若要开始，请按照以下步骤操作：

1. 打开 model.dart 文件，然后向其中添加以下 WorkQueue 定义：

lib/model.dart

  /// Constructor for [Crossword].
  /// Use [Crossword.crossword] instead.
  factory Crossword([void Function(CrosswordBuilder)? updates]) = _$Crossword;
  Crossword._();
}
                                                           // Add from here
/// A work queue for a worker to process. The work queue contains a crossword
/// and a list of locations to try, along with candidate words to add to the
/// crossword.
abstract class WorkQueue implements Built<WorkQueue, WorkQueueBuilder> {
  static Serializer<WorkQueue> get serializer => _$workQueueSerializer;

  /// The crossword the worker is working on.
  Crossword get crossword;

  /// The outstanding queue of locations to try.
  BuiltMap<Location, Direction> get locationsToTry;

  /// Known bad locations.
  BuiltSet<Location> get badLocations;

  /// The list of unused candidate words that can be added to this crossword.
  BuiltSet<String> get candidateWords;

  /// Returns true if the work queue is complete.
  bool get isCompleted => locationsToTry.isEmpty || candidateWords.isEmpty;

  /// Create a work queue from a crossword.
  static WorkQueue from({
    required Crossword crossword,
    required Iterable<String> candidateWords,
    required Location startLocation,
  }) => WorkQueue((b) {
    if (crossword.words.isEmpty) {
      // Strip candidate words too long to fit in the crossword
      b.candidateWords.addAll(
        candidateWords.where(
          (word) => word.characters.length <= crossword.width,
        ),
      );

      b.crossword.replace(crossword);

      b.locationsToTry.addAll({startLocation: Direction.across});
    } else {
      // Assuming words have already been stripped to length
      b.candidateWords.addAll(
        candidateWords.toBuiltSet().rebuild(
          (b) => b.removeAll(crossword.words.map((word) => word.word)),
        ),
      );
      b.crossword.replace(crossword);
      crossword.characters
          .rebuild(
            (b) => b.removeWhere((location, character) {
              if (character.acrossWord != null && character.downWord != null) {
                return true;
              }
              final left = crossword.characters[location.left];
              if (left != null && left.downWord != null) return true;
              final right = crossword.characters[location.right];
              if (right != null && right.downWord != null) return true;
              final up = crossword.characters[location.up];
              if (up != null && up.acrossWord != null) return true;
              final down = crossword.characters[location.down];
              if (down != null && down.acrossWord != null) return true;
              return false;
            }),
          )
          .forEach((location, character) {
            b.locationsToTry.addAll({
              location: switch ((character.acrossWord, character.downWord)) {
                (null, null) => throw StateError(
                  'Character is not part of a word',
                ),
                (null, _) => Direction.across,
                (_, null) => Direction.down,
                (_, _) => throw StateError('Character is part of two words'),
              },
            });
          });
    }
  });

  WorkQueue remove(Location location) => rebuild(
    (b) => b
      ..locationsToTry.remove(location)
      ..badLocations.add(location),
  );

  /// Update the work queue from a crossword derived from the current crossword
  /// that this work queue is built from.
  WorkQueue updateFrom(final Crossword crossword) =>
      WorkQueue.from(
        crossword: crossword,
        candidateWords: candidateWords,
        startLocation: locationsToTry.isNotEmpty
            ? locationsToTry.keys.first
            : Location.at(0, 0),
      ).rebuild(
        (b) => b
          ..badLocations.addAll(badLocations)
          ..locationsToTry.removeWhere(
            (location, _) => badLocations.contains(location),
          ),
      );

  /// Factory constructor for [WorkQueue]
  factory WorkQueue([void Function(WorkQueueBuilder)? updates]) = _$WorkQueue;

  WorkQueue._();
}                                                          // To here.

/// Construct the serialization/deserialization code for the data model.
@SerializersFor([
  Location,
  Crossword,
  CrosswordWord,
  CrosswordCharacter,
  WorkQueue,                                               // Add this line
])
final Serializers serializers = _$serializers;

2. 如果您在此文件中添加新内容后，红色波浪线在几秒钟后仍未消失，请确认 build_runner 是否仍在运行。如果不是，请运行 dart run build_runner watch -d 命令。

您即将引入日志记录的代码，以显示创建各种大小的纵横字谜所需的时间。如果时长能以某种格式良好的方式显示，那就太棒了。幸运的是，借助扩展方法，我们可以添加所需的确切方法。

3. 按如下方式修改 utils.dart 文件：

lib/utils.dart

import 'dart:math';

import 'package:built_collection/built_collection.dart';

/// A [Random] instance for generating random numbers.
final _random = Random();

/// An extension on [BuiltSet] that adds a method to get a random element.
extension RandomElements<E> on BuiltSet<E> {
  E randomElement() {
    return elementAt(_random.nextInt(length));
  }
}
                                                              // Add from here
/// An extension on [Duration] that adds a method to format the duration.
extension DurationFormat on Duration {
  /// A human-readable string representation of the duration.
  /// This format is tuned for durations in the seconds to days range.
  String get formatted {
    final hours = inHours.remainder(24).toString().padLeft(2, '0');
    final minutes = inMinutes.remainder(60).toString().padLeft(2, '0');
    final seconds = inSeconds.remainder(60).toString().padLeft(2, '0');
    return switch ((inDays, inHours, inMinutes, inSeconds)) {
      (0, 0, 0, _) => '${inSeconds}s',
      (0, 0, _, _) => '$inMinutes:$seconds',
      (0, _, _, _) => '$inHours:$minutes:$seconds',
      _ => '$inDays days, $hours:$minutes:$seconds',
    };
  }
}                                                             // To here.

此扩展方法利用 switch 表达式和记录上的模式匹配来选择显示不同时长的适当方式，时长范围从秒到天。如需详细了解这种代码风格，请参阅 深入了解 Dart 的模式和记录 Codelab。

4. 如需集成此新功能，请替换 isolates.dart 文件，以重新定义 exploreCrosswordSolutions 函数的定义方式，如下所示：

lib/isolates.dart

import 'package:built_collection/built_collection.dart';
import 'package:characters/characters.dart';
import 'package:flutter/foundation.dart';

import 'model.dart';
import 'utils.dart';

Stream<Crossword> exploreCrosswordSolutions({
  required Crossword crossword,
  required BuiltSet<String> wordList,
}) async* {
  final start = DateTime.now();
  var workQueue = WorkQueue.from(
    crossword: crossword,
    candidateWords: wordList,
    startLocation: Location.at(0, 0),
  );
  while (!workQueue.isCompleted) {
    final location = workQueue.locationsToTry.keys.toBuiltSet().randomElement();
    try {
      final crossword = await compute(((WorkQueue, Location) workMessage) {
        final (workQueue, location) = workMessage;
        final direction = workQueue.locationsToTry[location]!;
        final target = workQueue.crossword.characters[location];
        if (target == null) {
          return workQueue.crossword.addWord(
            direction: direction,
            location: location,
            word: workQueue.candidateWords.randomElement(),
          );
        }
        var words = workQueue.candidateWords.toBuiltList().rebuild(
          (b) => b
            ..where((b) => b.characters.contains(target.character))
            ..shuffle(),
        );
        int tryCount = 0;
        for (final word in words) {
          tryCount++;
          for (final (index, character) in word.characters.indexed) {
            if (character != target.character) continue;

            final candidate = workQueue.crossword.addWord(
              location: switch (direction) {
                Direction.across => location.leftOffset(index),
                Direction.down => location.upOffset(index),
              },
              word: word,
              direction: direction,
            );
            if (candidate != null) {
              return candidate;
            }
          }
          if (tryCount > 1000) {
            break;
          }
        }
      }, (workQueue, location));
      if (crossword != null) {
        workQueue = workQueue.updateFrom(crossword);
        yield crossword;
      } else {
        workQueue = workQueue.remove(location);
      }
    } catch (e) {
      debugPrint('Error running isolate: $e');
    }
  }
  debugPrint(
    '${crossword.width} x ${crossword.height} Crossword generated in '
    '${DateTime.now().difference(start).formatted}',
  );
}

运行此代码会生成一款表面上看起来完全相同的应用，但不同之处在于找到已完成的纵横字谜所需的时间。下面是一个在 1 分 29 秒内生成的 80x44 纵横字谜。

检查点：高效的算法运行

现在，得益于以下因素，字谜生成速度应该会显著提升：

• 智能字词展示位置定位交集点
• 展示位置失败时的高效回溯
• 工作队列管理，避免冗余搜索

当然，显而易见的问题是，我们能否更快？当然可以。

7. Surface 统计信息

为什么要添加统计数据？

在使某些内容快速运行时，了解正在发生的情况会有所帮助。统计信息可帮助您监控进度，实时了解算法的执行情况。通过了解算法花费的时间，您可以找出瓶颈。这样一来，您就可以根据优化方法做出明智的决策，从而调整效果。

您需要显示的信息需要从 WorkQueue 中提取并显示在界面中。一个有用的第一步是定义一个包含您要显示的信息的新模型类。

若要开始，请按照以下步骤操作：

1. 按如下方式修改 model.dart 文件，以添加 DisplayInfo 类：

lib/model.dart

import 'package:built_collection/built_collection.dart';
import 'package:built_value/built_value.dart';
import 'package:built_value/serializer.dart';
import 'package:characters/characters.dart';
import 'package:intl/intl.dart';                           // Add this import

part 'model.g.dart';

/// A location in a crossword.
abstract class Location implements Built<Location, LocationBuilder> {

2. 在该文件的末尾，进行以下更改以添加 DisplayInfo 类：

lib/model.dart

  /// Factory constructor for [WorkQueue]
  factory WorkQueue([void Function(WorkQueueBuilder)? updates]) = _$WorkQueue;

  WorkQueue._();
}
                                                           // Add from here.
/// Display information for the current state of the crossword solve.
abstract class DisplayInfo implements Built<DisplayInfo, DisplayInfoBuilder> {
  static Serializer<DisplayInfo> get serializer => _$displayInfoSerializer;

  /// The number of words in the grid.
  String get wordsInGridCount;

  /// The number of candidate words.
  String get candidateWordsCount;

  /// The number of locations to explore.
  String get locationsToExploreCount;

  /// The number of known bad locations.
  String get knownBadLocationsCount;

  /// The percentage of the grid filled.
  String get gridFilledPercentage;

  /// Construct a [DisplayInfo] instance from a [WorkQueue].
  factory DisplayInfo.from({required WorkQueue workQueue}) {
    final gridFilled =
        (workQueue.crossword.characters.length /
        (workQueue.crossword.width * workQueue.crossword.height));
    final fmt = NumberFormat.decimalPattern();

    return DisplayInfo(
      (b) => b
        ..wordsInGridCount = fmt.format(workQueue.crossword.words.length)
        ..candidateWordsCount = fmt.format(workQueue.candidateWords.length)
        ..locationsToExploreCount = fmt.format(workQueue.locationsToTry.length)
        ..knownBadLocationsCount = fmt.format(workQueue.badLocations.length)
        ..gridFilledPercentage = '${(gridFilled * 100).toStringAsFixed(2)}%',
    );
  }

  /// An empty [DisplayInfo] instance.
  static DisplayInfo get empty => DisplayInfo(
    (b) => b
      ..wordsInGridCount = '0'
      ..candidateWordsCount = '0'
      ..locationsToExploreCount = '0'
      ..knownBadLocationsCount = '0'
      ..gridFilledPercentage = '0%',
  );

  factory DisplayInfo([void Function(DisplayInfoBuilder)? updates]) =
      _$DisplayInfo;
  DisplayInfo._();
}                                                          // To here.

/// Construct the serialization/deserialization code for the data model.
@SerializersFor([
  Location,
  Crossword,
  CrosswordWord,
  CrosswordCharacter,
  WorkQueue,
  DisplayInfo,                                             // Add this line.
])
final Serializers serializers = _$serializers;

3. 修改 isolates.dart 文件以公开 WorkQueue 模型，如下所示：

lib/isolates.dart

import 'package:built_collection/built_collection.dart';
import 'package:characters/characters.dart';
import 'package:flutter/foundation.dart';

import 'model.dart';
import 'utils.dart';

Stream<WorkQueue> exploreCrosswordSolutions({              // Modify this line
  required Crossword crossword,
  required BuiltSet<String> wordList,
}) async* {
  final start = DateTime.now();
  var workQueue = WorkQueue.from(
    crossword: crossword,
    candidateWords: wordList,
    startLocation: Location.at(0, 0),
  );
  while (!workQueue.isCompleted) {
    final location = workQueue.locationsToTry.keys.toBuiltSet().randomElement();
    try {
      final crossword = await compute(((WorkQueue, Location) workMessage) {
        final (workQueue, location) = workMessage;
        final direction = workQueue.locationsToTry[location]!;
        final target = workQueue.crossword.characters[location];
        if (target == null) {
          return workQueue.crossword.addWord(
            direction: direction,
            location: location,
            word: workQueue.candidateWords.randomElement(),
          );
        }
        var words = workQueue.candidateWords.toBuiltList().rebuild(
          (b) => b
            ..where((b) => b.characters.contains(target.character))
            ..shuffle(),
        );
        int tryCount = 0;
        for (final word in words) {
          tryCount++;
          for (final (index, character) in word.characters.indexed) {
            if (character != target.character) continue;

            final candidate = workQueue.crossword.addWord(
              location: switch (direction) {
                Direction.across => location.leftOffset(index),
                Direction.down => location.upOffset(index),
              },
              word: word,
              direction: direction,
            );
            if (candidate != null) {
              return candidate;
            }
          }
          if (tryCount > 1000) {
            break;
          }
        }
      }, (workQueue, location));
      if (crossword != null) {
        workQueue = workQueue.updateFrom(crossword);       // Drop the yield crossword;
      } else {
        workQueue = workQueue.remove(location);
      }
      yield workQueue;                                     // Add this line.
    } catch (e) {
      debugPrint('Error running isolate: $e');
    }
  }
  debugPrint(
    '${crossword.width} x ${crossword.height} Crossword generated in '
    '${DateTime.now().difference(start).formatted}',
  );
}

现在，后台隔离区已公开工作队列，接下来需要考虑如何以及从何处从此数据源中派生统计信息。

4. 将旧的字谜提供程序替换为工作队列提供程序，然后添加更多从工作队列提供程序的流中派生信息的提供程序：

lib/providers.dart

import 'dart:convert';
import 'dart:math';                                        // Add this import

import 'package:built_collection/built_collection.dart';
import 'package:flutter/foundation.dart';
import 'package:flutter/services.dart';
import 'package:riverpod/riverpod.dart';
import 'package:riverpod_annotation/riverpod_annotation.dart';

import 'isolates.dart';
import 'model.dart' as model;

part 'providers.g.dart';

/// A provider for the wordlist to use when generating the crossword.
@riverpod
Future<BuiltSet<String>> wordList(Ref ref) async {
  // This codebase requires that all words consist of lowercase characters
  // in the range 'a'-'z'. Words containing uppercase letters will be
  // lowercased, and words containing runes outside this range will
  // be removed.

  final re = RegExp(r'^[a-z]+$');
  final words = await rootBundle.loadString('assets/words.txt');
  return const LineSplitter()
      .convert(words)
      .toBuiltSet()
      .rebuild(
        (b) => b
          ..map((word) => word.toLowerCase().trim())
          ..where((word) => word.length > 2)
          ..where((word) => re.hasMatch(word)),
      );
}

/// An enumeration for different sizes of [model.Crossword]s.
enum CrosswordSize {
  small(width: 20, height: 11),
  medium(width: 40, height: 22),
  large(width: 80, height: 44),
  xlarge(width: 160, height: 88),
  xxlarge(width: 500, height: 500);

  const CrosswordSize({required this.width, required this.height});

  final int width;
  final int height;
  String get label => '$width x $height';
}

/// A provider that holds the current size of the crossword to generate.
@Riverpod(keepAlive: true)
class Size extends _$Size {
  var _size = CrosswordSize.medium;

  @override
  CrosswordSize build() => _size;

  void setSize(CrosswordSize size) {
    _size = size;
    ref.invalidateSelf();
  }
}

@riverpod
Stream<model.WorkQueue> workQueue(Ref ref) async* {        // Modify this provider
  final size = ref.watch(sizeProvider);
  final wordListAsync = ref.watch(wordListProvider);
  final emptyCrossword = model.Crossword.crossword(
    width: size.width,
    height: size.height,
  );
  final emptyWorkQueue = model.WorkQueue.from(
    crossword: emptyCrossword,
    candidateWords: BuiltSet<String>(),
    startLocation: model.Location.at(0, 0),
  );

  ref.read(startTimeProvider.notifier).start();
  ref.read(endTimeProvider.notifier).clear();

  yield* wordListAsync.when(
    data: (wordList) => exploreCrosswordSolutions(
      crossword: emptyCrossword,
      wordList: wordList,
    ),
    error: (error, stackTrace) async* {
      debugPrint('Error loading word list: $error');
      yield emptyWorkQueue;
    },
    loading: () async* {
      yield emptyWorkQueue;
    },
  );

  ref.read(endTimeProvider.notifier).end();
}                                                          // To here.

@Riverpod(keepAlive: true)                                 // Add from here to end of file
class StartTime extends _$StartTime {
  @override
  DateTime? build() => _start;

  DateTime? _start;

  void start() {
    _start = DateTime.now();
    ref.invalidateSelf();
  }
}

@Riverpod(keepAlive: true)
class EndTime extends _$EndTime {
  @override
  DateTime? build() => _end;

  DateTime? _end;

  void clear() {
    _end = null;
    ref.invalidateSelf();
  }

  void end() {
    _end = DateTime.now();
    ref.invalidateSelf();
  }
}

const _estimatedTotalCoverage = 0.54;

@riverpod
Duration expectedRemainingTime(Ref ref) {
  final startTime = ref.watch(startTimeProvider);
  final endTime = ref.watch(endTimeProvider);
  final workQueueAsync = ref.watch(workQueueProvider);

  return workQueueAsync.when(
    data: (workQueue) {
      if (startTime == null || endTime != null || workQueue.isCompleted) {
        return Duration.zero;
      }
      try {
        final soFar = DateTime.now().difference(startTime);
        final completedPercentage = min(
          0.99,
          (workQueue.crossword.characters.length /
              (workQueue.crossword.width * workQueue.crossword.height) /
              _estimatedTotalCoverage),
        );
        final expectedTotal = soFar.inSeconds / completedPercentage;
        final expectedRemaining = expectedTotal - soFar.inSeconds;
        return Duration(seconds: expectedRemaining.toInt());
      } catch (e) {
        return Duration.zero;
      }
    },
    error: (error, stackTrace) => Duration.zero,
    loading: () => Duration.zero,
  );
}

/// A provider that holds whether to display info.
@Riverpod(keepAlive: true)
class ShowDisplayInfo extends _$ShowDisplayInfo {
  var _display = true;

  @override
  bool build() => _display;

  void toggle() {
    _display = !_display;
    ref.invalidateSelf();
  }
}

/// A provider that summarise the DisplayInfo from a [model.WorkQueue].
@riverpod
class DisplayInfo extends _$DisplayInfo {
  @override
  model.DisplayInfo build() => ref
      .watch(workQueueProvider)
      .when(
        data: (workQueue) => model.DisplayInfo.from(workQueue: workQueue),
        error: (error, stackTrace) => model.DisplayInfo.empty,
        loading: () => model.DisplayInfo.empty,
      );
}

新提供方是全局状态（以信息显示是否应叠加在纵横字谜网格上为形式）和派生数据（例如纵横字谜生成运行时间）的混合体。所有这些都因以下事实而变得复杂：某些状态的监听器是短暂的。如果信息显示处于隐藏状态，则没有任何内容会监听填字游戏计算的开始时间和结束时间，但如果要在信息显示处于显示状态时确保计算准确无误，则这些时间需要保留在内存中。在这种情况下，Riverpod 属性的 keepAlive 参数非常有用。

在显示信息显示屏时，存在一个小问题。我们希望能够显示已用运行时间，但这里没有任何内容可以强制不断更新已用时间。回顾一下使用 Flutter 构建新一代界面 Codelab，其中有一个 widget 非常适合此需求。

5. 在 lib/widgets 目录中创建一个 ticker_builder.dart 文件，然后向其中添加以下内容：

lib/widgets/ticker_builder.dart

import 'package:flutter/material.dart';
import 'package:flutter/scheduler.dart';

/// A Builder widget that invokes its [builder] function on every animation frame.
class TickerBuilder extends StatefulWidget {
  const TickerBuilder({super.key, required this.builder});
  final Widget Function(BuildContext context) builder;
  @override
  State<TickerBuilder> createState() => _TickerBuilderState();
}

class _TickerBuilderState extends State<TickerBuilder>
    with SingleTickerProviderStateMixin {
  late final Ticker _ticker;

  @override
  void initState() {
    super.initState();
    _ticker = createTicker(_handleTick)..start();
  }

  @override
  void dispose() {
    _ticker.dispose();
    super.dispose();
  }

  void _handleTick(Duration elapsed) {
    setState(() {
      // Force a rebuild without changing the widget tree.
    });
  }

  @override
  Widget build(BuildContext context) => widget.builder.call(context);
}

此 widget 是大锤。它会在每一帧上重建其内容。这通常是不受欢迎的做法，但与搜索填字游戏的计算负荷相比，每帧重新绘制经过时间的计算负荷可能会消失在噪声中。为了充分利用新派生的信息，现在可以创建新 widget 了。

6. 在 lib/widgets 目录中创建一个 crossword_info_widget.dart 文件，然后向其中添加以下内容：

lib/widgets/crossword_info_widget.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';

import '../providers.dart';
import '../utils.dart';
import 'ticker_builder.dart';

class CrosswordInfoWidget extends ConsumerWidget {
  const CrosswordInfoWidget({super.key});

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    final size = ref.watch(sizeProvider);
    final displayInfo = ref.watch(displayInfoProvider);
    final startTime = ref.watch(startTimeProvider);
    final endTime = ref.watch(endTimeProvider);
    final remaining = ref.watch(expectedRemainingTimeProvider);

    return Align(
      alignment: Alignment.bottomRight,
      child: Padding(
        padding: const EdgeInsets.only(right: 32.0, bottom: 32.0),
        child: ClipRRect(
          borderRadius: BorderRadius.circular(8),
          child: ColoredBox(
            color: Theme.of(context).colorScheme.onPrimary.withAlpha(230),
            child: Padding(
              padding: const EdgeInsets.symmetric(horizontal: 12, vertical: 8),
              child: DefaultTextStyle(
                style: TextStyle(
                  fontSize: 16,
                  color: Theme.of(context).colorScheme.primary,
                ),
                child: Column(
                  mainAxisSize: MainAxisSize.min,
                  crossAxisAlignment: CrossAxisAlignment.start,
                  children: [
                    _CrosswordInfoRichText(
                      label: 'Grid Size',
                      value: '${size.width} x ${size.height}',
                    ),
                    _CrosswordInfoRichText(
                      label: 'Words in grid',
                      value: displayInfo.wordsInGridCount,
                    ),
                    _CrosswordInfoRichText(
                      label: 'Candidate words',
                      value: displayInfo.candidateWordsCount,
                    ),
                    _CrosswordInfoRichText(
                      label: 'Locations to explore',
                      value: displayInfo.locationsToExploreCount,
                    ),
                    _CrosswordInfoRichText(
                      label: 'Known bad locations',
                      value: displayInfo.knownBadLocationsCount,
                    ),
                    _CrosswordInfoRichText(
                      label: 'Grid filled',
                      value: displayInfo.gridFilledPercentage,
                    ),
                    switch ((startTime, endTime)) {
                      (null, _) => _CrosswordInfoRichText(
                        label: 'Time elapsed',
                        value: 'Not started yet',
                      ),
                      (DateTime start, null) => TickerBuilder(
                        builder: (context) => _CrosswordInfoRichText(
                          label: 'Time elapsed',
                          value: DateTime.now().difference(start).formatted,
                        ),
                      ),
                      (DateTime start, DateTime end) => _CrosswordInfoRichText(
                        label: 'Completed in',
                        value: end.difference(start).formatted,
                      ),
                    },
                    if (startTime != null && endTime == null)
                      _CrosswordInfoRichText(
                        label: 'Est. remaining',
                        value: remaining.formatted,
                      ),
                  ],
                ),
              ),
            ),
          ),
        ),
      ),
    );
  }
}

class _CrosswordInfoRichText extends StatelessWidget {
  final String label;
  final String value;

  const _CrosswordInfoRichText({required this.label, required this.value});

  @override
  Widget build(BuildContext context) => RichText(
    text: TextSpan(
      children: [
        TextSpan(text: '$label ', style: DefaultTextStyle.of(context).style),
        TextSpan(
          text: value,
          style: DefaultTextStyle.of(
            context,
          ).style.copyWith(fontWeight: FontWeight.bold),
        ),
      ],
    ),
  );
}

此 widget 是 Riverpod 提供程序的强大功能的一个典型示例。当这五个提供程序中的任何一个更新时，此 widget 将被标记为需要重建。此步骤中的最后一个必需更改是将此新 widget 集成到界面中。

7. 按如下方式修改 crossword_generator_app.dart 文件：

lib/widgets/crossword_generator_app.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';

import '../providers.dart';
import 'crossword_info_widget.dart';                       // Add this import
import 'crossword_widget.dart';

class CrosswordGeneratorApp extends StatelessWidget {
  const CrosswordGeneratorApp({super.key});

  @override
  Widget build(BuildContext context) {
    return _EagerInitialization(
      child: Scaffold(
        appBar: AppBar(
          actions: [_CrosswordGeneratorMenu()],
          titleTextStyle: TextStyle(
            color: Theme.of(context).colorScheme.primary,
            fontSize: 16,
            fontWeight: FontWeight.bold,
          ),
          title: Text('Crossword Generator'),
        ),
        body: SafeArea(
          child: Consumer(                                 // Modify from here
            builder: (context, ref, child) {
              return Stack(
                children: [
                  Positioned.fill(child: CrosswordWidget()),
                  if (ref.watch(showDisplayInfoProvider)) CrosswordInfoWidget(),
                ],
              );
            },
          ),                                               // To here.
        ),
      ),
    );
  }
}

class _EagerInitialization extends ConsumerWidget {
  const _EagerInitialization({required this.child});
  final Widget child;

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    ref.watch(wordListProvider);
    return child;
  }
}

class _CrosswordGeneratorMenu extends ConsumerWidget {
  @override
  Widget build(BuildContext context, WidgetRef ref) => MenuAnchor(
    menuChildren: [
      for (final entry in CrosswordSize.values)
        MenuItemButton(
          onPressed: () => ref.read(sizeProvider.notifier).setSize(entry),
          leadingIcon: entry == ref.watch(sizeProvider)
              ? Icon(Icons.radio_button_checked_outlined)
              : Icon(Icons.radio_button_unchecked_outlined),
          child: Text(entry.label),
        ),
      MenuItemButton(                                      // Add from here
        leadingIcon: ref.watch(showDisplayInfoProvider)
            ? Icon(Icons.check_box_outlined)
            : Icon(Icons.check_box_outline_blank_outlined),
        onPressed: () => ref.read(showDisplayInfoProvider.notifier).toggle(),
        child: Text('Display Info'),
      ),                                                   // To here.
    ],
    builder: (context, controller, child) => IconButton(
      onPressed: () => controller.open(),
      icon: Icon(Icons.settings),
    ),
  );
}

这两项更改展示了集成提供商的不同方法。在 CrosswordGeneratorApp 的 build 方法中，您引入了一个新的 Consumer 构建器，用于包含在显示或隐藏信息显示时强制重建的区域。另一方面，整个下拉菜单是一个 ConsumerWidget，无论纵横字谜的大小调整还是信息显示的显示或隐藏，它都会重建。采用哪种方法始终需要在简单性与重新计算重建的 widget 树的布局的成本之间做出工程权衡。

现在运行应用，用户可以更清楚地了解字谜生成进度。不过，在字谜生成快要结束时，我们发现数字在变化，但字符网格几乎没有变化。

如果能进一步了解发生了什么以及原因，会很有帮助。

8. 使用线程实现并行化

性能衰减的原因

随着填字游戏的完成度越来越高，算法会减慢速度，因为剩余的有效字词放置选项越来越少。该算法会尝试许多无效的组合。单线程处理无法高效探索多个选项

直观呈现算法

为了了解为什么在最后阶段速度会变慢，最好能够直观地了解算法在做什么。关键部分是 WorkQueue 中未完成的 locationsToTry。TableView 为我们提供了一种有用的方法来调查这一点。我们可以根据单元格是否位于 locationsToTry 中来更改单元格颜色。

若要开始，请按照以下步骤操作：

1. 按如下方式修改 crossword_widget.dart 文件：

lib/widgets/crossword_widget.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';
import 'package:two_dimensional_scrollables/two_dimensional_scrollables.dart';

import '../model.dart';
import '../providers.dart';

class CrosswordWidget extends ConsumerWidget {
  const CrosswordWidget({super.key});

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    final size = ref.watch(sizeProvider);
    return TableView.builder(
      diagonalDragBehavior: DiagonalDragBehavior.free,
      cellBuilder: _buildCell,
      columnCount: size.width,
      columnBuilder: (index) => _buildSpan(context, index),
      rowCount: size.height,
      rowBuilder: (index) => _buildSpan(context, index),
    );
  }

  TableViewCell _buildCell(BuildContext context, TableVicinity vicinity) {
    final location = Location.at(vicinity.column, vicinity.row);

    return TableViewCell(
      child: Consumer(
        builder: (context, ref, _) {
          final character = ref.watch(
            workQueueProvider.select(
              (workQueueAsync) => workQueueAsync.when(
                data: (workQueue) => workQueue.crossword.characters[location],
                error: (error, stackTrace) => null,
                loading: () => null,
              ),
            ),
          );

          final explorationCell = ref.watch(               // Add from here
            workQueueProvider.select(
              (workQueueAsync) => workQueueAsync.when(
                data: (workQueue) =>
                    workQueue.locationsToTry.keys.contains(location),
                error: (error, stackTrace) => false,
                loading: () => false,
              ),
            ),
          );                                               // To here.

          if (character != null) {                         // Modify from here
            return AnimatedContainer(
              duration: Durations.extralong1,
              curve: Curves.easeInOut,
              color: explorationCell
                  ? Theme.of(context).colorScheme.primary
                  : Theme.of(context).colorScheme.onPrimary,
              child: Center(
                child: AnimatedDefaultTextStyle(
                  duration: Durations.extralong1,
                  curve: Curves.easeInOut,
                  style: TextStyle(
                    fontSize: 24,
                    color: explorationCell
                        ? Theme.of(context).colorScheme.onPrimary
                        : Theme.of(context).colorScheme.primary,
                  ),
                  child: Text(character.character),
                ),                                          // To here.
              ),
            );
          }

          return ColoredBox(
            color: Theme.of(context).colorScheme.primaryContainer,
          );
        },
      ),
    );
  }

  TableSpan _buildSpan(BuildContext context, int index) {
    return TableSpan(
      extent: FixedTableSpanExtent(32),
      foregroundDecoration: TableSpanDecoration(
        border: TableSpanBorder(
          leading: BorderSide(
            color: Theme.of(context).colorScheme.onPrimaryContainer,
          ),
          trailing: BorderSide(
            color: Theme.of(context).colorScheme.onPrimaryContainer,
          ),
        ),
      ),
    );
  }
}

运行此代码后，您将看到算法尚未调查的突出位置的可视化效果。

在观看填字游戏逐渐完成的过程中，有趣的是，还有许多点需要调查，但不会产生任何有用的结果。这里有几个选项；一种是在填入一定百分比的纵横填字游戏单元格后限制调查，另一种是同时调查多个兴趣点。第二条道路听起来更有趣，因此现在是时候尝试一下了。

2. 修改 isolates.dart 文件。这几乎是对代码的完全重写，目的是将一个后台隔离区中计算的内容拆分为 N 个后台隔离区。

lib/isolates.dart

import 'package:built_collection/built_collection.dart';
import 'package:characters/characters.dart';
import 'package:flutter/foundation.dart';

import 'model.dart';
import 'utils.dart';

Stream<WorkQueue> exploreCrosswordSolutions({
  required Crossword crossword,
  required BuiltSet<String> wordList,
  required int maxWorkerCount,
}) async* {
  final start = DateTime.now();
  var workQueue = WorkQueue.from(
    crossword: crossword,
    candidateWords: wordList,
    startLocation: Location.at(0, 0),
  );
  while (!workQueue.isCompleted) {
    try {
      workQueue = await compute(_generate, (workQueue, maxWorkerCount));
      yield workQueue;
    } catch (e) {
      debugPrint('Error running isolate: $e');
    }
  }

  debugPrint(
    'Generated ${workQueue.crossword.width} x '
    '${workQueue.crossword.height} crossword in '
    '${DateTime.now().difference(start).formatted} '
    'with $maxWorkerCount workers.',
  );
}

Future<WorkQueue> _generate((WorkQueue, int) workMessage) async {
  var (workQueue, maxWorkerCount) = workMessage;
  final candidateGeneratorFutures = <Future<(Location, Direction, String?)>>[];
  final locations = workQueue.locationsToTry.keys.toBuiltList().rebuild(
    (b) => b
      ..shuffle()
      ..take(maxWorkerCount),
  );

  for (final location in locations) {
    final direction = workQueue.locationsToTry[location]!;

    candidateGeneratorFutures.add(
      compute(_generateCandidate, (
        workQueue.crossword,
        workQueue.candidateWords,
        location,
        direction,
      )),
    );
  }

  try {
    final results = await candidateGeneratorFutures.wait;
    var crossword = workQueue.crossword;
    for (final (location, direction, word) in results) {
      if (word != null) {
        final candidate = crossword.addWord(
          location: location,
          word: word,
          direction: direction,
        );
        if (candidate != null) {
          crossword = candidate;
        }
      } else {
        workQueue = workQueue.remove(location);
      }
    }

    workQueue = workQueue.updateFrom(crossword);
  } catch (e) {
    debugPrint('$e');
  }

  return workQueue;
}

(Location, Direction, String?) _generateCandidate(
  (Crossword, BuiltSet<String>, Location, Direction) searchDetailMessage,
) {
  final (crossword, candidateWords, location, direction) = searchDetailMessage;

  final target = crossword.characters[location];
  if (target == null) {
    return (location, direction, candidateWords.randomElement());
  }

  // Filter down the candidate word list to those that contain the letter
  // at the current location
  final words = candidateWords.toBuiltList().rebuild(
    (b) => b
      ..where((b) => b.characters.contains(target.character))
      ..shuffle(),
  );
  int tryCount = 0;
  final start = DateTime.now();
  for (final word in words) {
    tryCount++;
    for (final (index, character) in word.characters.indexed) {
      if (character != target.character) continue;

      final candidate = crossword.addWord(
        location: switch (direction) {
          Direction.across => location.leftOffset(index),
          Direction.down => location.upOffset(index),
        },
        word: word,
        direction: direction,
      );
      if (candidate != null) {
        return switch (direction) {
          Direction.across => (location.leftOffset(index), direction, word),
          Direction.down => (location.upOffset(index), direction, word),
        };
      }
      final deltaTime = DateTime.now().difference(start);
      if (tryCount >= 1000 || deltaTime > Duration(seconds: 10)) {
        return (location, direction, null);
      }
    }
  }

  return (location, direction, null);
}

了解多隔离架构

由于核心业务逻辑没有变化，因此您应该熟悉其中的大部分代码。现在，compute 调用有两个层级。第一层负责将各个位置分配给 N 个工作器隔离区进行搜索，然后在所有 N 个工作器隔离区完成搜索后重新组合结果。第二层包含 N 个工作器隔离区。调整 N 以获得最佳性能取决于您的计算机和相关数据。网格越大，可以协同工作的工人就越多，而不会互相妨碍。

一个有趣的细节是，请注意此代码现在如何处理闭包捕获不应捕获的内容的问题。目前没有关闭的商家。_generate 和 _generateWorker 函数被定义为顶级函数，没有可从中捕获的周围环境。这两个函数的实参和结果都采用 Dart 记录的形式。这是一种绕过 compute 调用的“一个输入值，一个输出值”语义的方法。

现在，您已经能够创建一组后台工作器来搜索网格中相互锁定的字词，以形成填字游戏，接下来就可以将此功能公开给填字游戏生成器工具的其余部分了。

3. 通过修改 workQueue 提供程序来修改 providers.dart 文件，如下所示：

lib/providers.dart

@riverpod
Stream<model.WorkQueue> workQueue(Ref ref) async* {
  final workers = ref.watch(workerCountProvider);          // Add this line
  final size = ref.watch(sizeProvider);
  final wordListAsync = ref.watch(wordListProvider);
  final emptyCrossword = model.Crossword.crossword(
    width: size.width,
    height: size.height,
  );
  final emptyWorkQueue = model.WorkQueue.from(
    crossword: emptyCrossword,
    candidateWords: BuiltSet<String>(),
    startLocation: model.Location.at(0, 0),
  );

  ref.read(startTimeProvider.notifier).start();
  ref.read(endTimeProvider.notifier).clear();

  yield* wordListAsync.when(
    data: (wordList) => exploreCrosswordSolutions(
      crossword: emptyCrossword,
      wordList: wordList,
      maxWorkerCount: workers.count,                       // Add this line
    ),
    error: (error, stackTrace) async* {
      debugPrint('Error loading word list: $error');
      yield emptyWorkQueue;
    },
    loading: () async* {
      yield emptyWorkQueue;
    },
  );

  ref.read(endTimeProvider.notifier).end();
}

4. 按如下所示将 WorkerCount 提供程序添加到文件末尾：

lib/providers.dart

/// A provider that summarise the DisplayInfo from a [model.WorkQueue].
@riverpod
class DisplayInfo extends _$DisplayInfo {
  @override
  model.DisplayInfo build() => ref
      .watch(workQueueProvider)
      .when(
        data: (workQueue) => model.DisplayInfo.from(workQueue: workQueue),
        error: (error, stackTrace) => model.DisplayInfo.empty,
        loading: () => model.DisplayInfo.empty,
      );
}

enum BackgroundWorkers {                                   // Add from here
  one(1),
  two(2),
  four(4),
  eight(8),
  sixteen(16),
  thirtyTwo(32),
  sixtyFour(64),
  oneTwentyEight(128);

  const BackgroundWorkers(this.count);

  final int count;
  String get label => count.toString();
}

/// A provider that holds the current number of background workers to use.
@Riverpod(keepAlive: true)
class WorkerCount extends _$WorkerCount {
  var _count = BackgroundWorkers.four;

  @override
  BackgroundWorkers build() => _count;

  void setCount(BackgroundWorkers count) {
    _count = count;
    ref.invalidateSelf();
  }
}                                                          // To here.

通过这两项更改，提供程序层现在提供了一种设置后台隔离池的最大工作器数量的方法，以便正确配置隔离函数。

5. 通过修改 CrosswordInfoWidget 来更新 crossword_info_widget.dart 文件，如下所示：

lib/widgets/crossword_info_widget.dart

class CrosswordInfoWidget extends ConsumerWidget {
  const CrosswordInfoWidget({super.key});

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    final size = ref.watch(sizeProvider);
    final displayInfo = ref.watch(displayInfoProvider);
    final workerCount = ref.watch(workerCountProvider).label;  // Add this line
    final startTime = ref.watch(startTimeProvider);
    final endTime = ref.watch(endTimeProvider);
    final remaining = ref.watch(expectedRemainingTimeProvider);

    return Align(
      alignment: Alignment.bottomRight,
      child: Padding(
        padding: const EdgeInsets.only(right: 32.0, bottom: 32.0),
        child: ClipRRect(
          borderRadius: BorderRadius.circular(8),
          child: ColoredBox(
            color: Theme.of(context).colorScheme.onPrimary.withAlpha(230),
            child: Padding(
              padding: const EdgeInsets.symmetric(horizontal: 12, vertical: 8),
              child: DefaultTextStyle(
                style: TextStyle(
                  fontSize: 16,
                  color: Theme.of(context).colorScheme.primary,
                ),
                child: Column(
                  mainAxisSize: MainAxisSize.min,
                  crossAxisAlignment: CrossAxisAlignment.start,
                  children: [
                    _CrosswordInfoRichText(
                      label: 'Grid Size',
                      value: '${size.width} x ${size.height}',
                    ),
                    _CrosswordInfoRichText(
                      label: 'Words in grid',
                      value: displayInfo.wordsInGridCount,
                    ),
                    _CrosswordInfoRichText(
                      label: 'Candidate words',
                      value: displayInfo.candidateWordsCount,
                    ),
                    _CrosswordInfoRichText(
                      label: 'Locations to explore',
                      value: displayInfo.locationsToExploreCount,
                    ),
                    _CrosswordInfoRichText(
                      label: 'Known bad locations',
                      value: displayInfo.knownBadLocationsCount,
                    ),
                    _CrosswordInfoRichText(
                      label: 'Grid filled',
                      value: displayInfo.gridFilledPercentage,
                    ),
                    _CrosswordInfoRichText(               // Add from here
                      label: 'Max worker count',
                      value: workerCount,
                    ),                                    // To here.
                    switch ((startTime, endTime)) {
                      (null, _) => _CrosswordInfoRichText(
                        label: 'Time elapsed',
                        value: 'Not started yet',
                      ),
                      (DateTime start, null) => TickerBuilder(
                        builder: (context) => _CrosswordInfoRichText(
                          label: 'Time elapsed',
                          value: DateTime.now().difference(start).formatted,
                        ),
                      ),
                      (DateTime start, DateTime end) => _CrosswordInfoRichText(
                        label: 'Completed in',
                        value: end.difference(start).formatted,
                      ),
                    },
                    if (startTime != null && endTime == null)
                      _CrosswordInfoRichText(
                        label: 'Est. remaining',
                        value: remaining.formatted,
                      ),
                  ],
                ),
              ),
            ),
          ),
        ),
      ),
    );
  }
}

6. 通过将以下部分添加到 _CrosswordGeneratorMenu widget 来修改 crossword_generator_app.dart 文件：

lib/widgets/crossword_generator_app.dart

class _CrosswordGeneratorMenu extends ConsumerWidget {
  @override
  Widget build(BuildContext context, WidgetRef ref) => MenuAnchor(
    menuChildren: [
      for (final entry in CrosswordSize.values)
        MenuItemButton(
          onPressed: () => ref.read(sizeProvider.notifier).setSize(entry),
          leadingIcon: entry == ref.watch(sizeProvider)
              ? Icon(Icons.radio_button_checked_outlined)
              : Icon(Icons.radio_button_unchecked_outlined),
          child: Text(entry.label),
        ),
      MenuItemButton(
        leadingIcon: ref.watch(showDisplayInfoProvider)
            ? Icon(Icons.check_box_outlined)
            : Icon(Icons.check_box_outline_blank_outlined),
        onPressed: () => ref.read(showDisplayInfoProvider.notifier).toggle(),
        child: Text('Display Info'),
      ),
      for (final count in BackgroundWorkers.values)        // Add from here
        MenuItemButton(
          leadingIcon: count == ref.watch(workerCountProvider)
              ? Icon(Icons.radio_button_checked_outlined)
              : Icon(Icons.radio_button_unchecked_outlined),
          onPressed: () =>
              ref.read(workerCountProvider.notifier).setCount(count),
          child: Text(count.label),                        // To here.
        ),
    ],
    builder: (context, controller, child) => IconButton(
      onPressed: () => controller.open(),
      icon: Icon(Icons.settings),
    ),
  );
}

如果您现在运行该应用，将能够修改正在实例化的后台隔离区的数量，以搜索可填入纵横字谜中的字词。

7. 点击齿轮图标，打开包含以下选项的上下文菜单：填字游戏的尺寸、是否在生成的填字游戏中显示统计信息，以及现在要使用的分离子数量。

检查点：多线程性能

通过同时使用多个核心，运行字谜生成器可显著缩短 80x44 字谜的计算时间。您应该会注意到：

• 增加工作器数量，更快生成纵横字谜
• 生成期间的界面响应流畅度
• 显示生成进度的实时统计数据
• 算法探索区域的可视化反馈

9. 将其变成游戏

我们正在构建：可畅玩填字游戏

最后一部分实际上是奖励环节。您将运用在构建填字游戏生成器时学到的所有技巧来构建游戏。您将学习以下内容：

1. 生成谜题：使用纵横字谜生成器创建可解的谜题
2. 创建字词选项：为每个位置提供多个字词选项
3. 启用互动：允许用户选择和放置字词
4. 验证答案：检查填好的纵横字谜是否正确

您将使用纵横字谜生成器来创建纵横字谜。您将重复使用上下文菜单惯用语，以便用户选择和取消选择字词，从而将字词放入网格中各种形状的空格中。所有这些都是为了完成填字游戏。

我不会说这款游戏已经打磨完毕或已完成，事实上它还远未达到这种程度。存在平衡性和难度问题，可以通过改进替代字词的选择来解决。没有引导用户进入谜题的教程。我甚至都不想提及简陋的“您赢了！”界面。

但这样做的代价是，要将这个原型游戏打磨成完整游戏，需要编写的代码量会大幅增加。代码量超过了单个 Codelab 中的代码量。因此，此步骤旨在通过更改所学技术的应用位置和方式，巩固您在此 Codelab 中学到的技术。希望这能巩固您在本 Codelab 前面学到的知识。或者，您也可以根据此代码自行构建体验。我们期待看到您的作品！

若要开始，请按照以下步骤操作：

1. 删除 lib/widgets 目录中的所有内容。您将为游戏创建全新的 widget。只是恰好借鉴了旧版 widget 的许多功能。

代码重用策略：虽然我们要删除旧 widget，但我们学到的概念和模式（Riverpod 提供程序、不可变数据结构、高效的界面更新）将在游戏实现中重用。

2. 修改 model.dart 文件，以按如下方式更新 Crossword 的 addWord 方法：

lib/model.dart

  /// Add a word to the crossword at the given location and direction.
  Crossword? addWord({
    required Location location,
    required String word,
    required Direction direction,
    bool requireOverlap = true,                            // Add this parameter
  }) {
    // Require that the word is not already in the crossword.
    if (words.map((crosswordWord) => crosswordWord.word).contains(word)) {
      return null;
    }

    final wordCharacters = word.characters;
    bool overlap = false;

    // Check that the word fits in the crossword.
    for (final (index, character) in wordCharacters.indexed) {
      final characterLocation = switch (direction) {
        Direction.across => location.rightOffset(index),
        Direction.down => location.downOffset(index),
      };

      final target = characters[characterLocation];
      if (target != null) {
        overlap = true;
        if (target.character != character) {
          return null;
        }
        if (direction == Direction.across && target.acrossWord != null ||
            direction == Direction.down && target.downWord != null) {
          return null;
        }
      }
    }
                                                           // Edit from here
    // If overlap is required, make sure that the word overlaps with an existing
    // word. Skip this test if the crossword is empty.
    if (words.isNotEmpty && !overlap && requireOverlap) {  // To here.
      return null;
    }

    final candidate = rebuild(
      (b) => b
        ..words.add(
          CrosswordWord.word(
            word: word,
            direction: direction,
            location: location,
          ),
        ),
    );

    if (candidate.valid) {
      return candidate;
    } else {
      return null;
    }
  }

对字谜模型进行此细微修改后，便可添加不重叠的字词。让玩家可以在棋盘上的任意位置下棋，同时仍能使用 Crossword 作为存储玩家走棋的基准模型，这非常有用。它只是一个位于特定位置并按特定方向排列的字词列表。

3. 将 CrosswordPuzzleGame 模型类添加到 model.dart 文件的末尾。

lib/model.dart

/// Creates a puzzle from a crossword and a set of candidate words.
abstract class CrosswordPuzzleGame
    implements Built<CrosswordPuzzleGame, CrosswordPuzzleGameBuilder> {
  static Serializer<CrosswordPuzzleGame> get serializer =>
      _$crosswordPuzzleGameSerializer;

  /// The [Crossword] that this puzzle is based on.
  Crossword get crossword;

  /// The alternate words for each [CrosswordWord] in the crossword.
  BuiltMap<Location, BuiltMap<Direction, BuiltList<String>>> get alternateWords;

  /// The player's selected words.
  BuiltList<CrosswordWord> get selectedWords;

  bool canSelectWord({
    required Location location,
    required String word,
    required Direction direction,
  }) {
    final crosswordWord = CrosswordWord.word(
      word: word,
      location: location,
      direction: direction,
    );

    if (selectedWords.contains(crosswordWord)) {
      return true;
    }

    var puzzle = this;

    if (puzzle.selectedWords
        .where((b) => b.direction == direction && b.location == location)
        .isNotEmpty) {
      puzzle = puzzle.rebuild(
        (b) => b
          ..selectedWords.removeWhere(
            (selectedWord) =>
                selectedWord.location == location &&
                selectedWord.direction == direction,
          ),
      );
    }

    return null !=
        puzzle.crosswordFromSelectedWords.addWord(
          location: location,
          word: word,
          direction: direction,
          requireOverlap: false,
        );
  }

  CrosswordPuzzleGame? selectWord({
    required Location location,
    required String word,
    required Direction direction,
  }) {
    final crosswordWord = CrosswordWord.word(
      word: word,
      location: location,
      direction: direction,
    );

    if (selectedWords.contains(crosswordWord)) {
      return rebuild((b) => b.selectedWords.remove(crosswordWord));
    }

    var puzzle = this;

    if (puzzle.selectedWords
        .where((b) => b.direction == direction && b.location == location)
        .isNotEmpty) {
      puzzle = puzzle.rebuild(
        (b) => b
          ..selectedWords.removeWhere(
            (selectedWord) =>
                selectedWord.location == location &&
                selectedWord.direction == direction,
          ),
      );
    }

    // Check if the selected word meshes with the already selected words.
    // Note this version of the crossword does not enforce overlap to
    // allow the player to select words anywhere on the grid. Enforcing words
    // to be solved in order is a possible alternative.
    final updatedSelectedWordsCrossword = puzzle.crosswordFromSelectedWords
        .addWord(
          location: location,
          word: word,
          direction: direction,
          requireOverlap: false,
        );

    // Make sure the selected word is in the crossword or is an alternate word.
    if (updatedSelectedWordsCrossword != null) {
      if (puzzle.crossword.words.contains(crosswordWord) ||
          puzzle.alternateWords[location]?[direction]?.contains(word) == true) {
        return puzzle.rebuild(
          (b) => b
            ..selectedWords.add(
              CrosswordWord.word(
                word: word,
                location: location,
                direction: direction,
              ),
            ),
        );
      }
    }
    return null;
  }

  /// The crossword from the selected words.
  Crossword get crosswordFromSelectedWords => Crossword.crossword(
    width: crossword.width,
    height: crossword.height,
    words: selectedWords,
  );

  /// Test if the puzzle is solved. Note, this allows for the possibility of
  /// multiple solutions.
  bool get solved =>
      crosswordFromSelectedWords.valid &&
      crosswordFromSelectedWords.words.length == crossword.words.length &&
      crossword.words.isNotEmpty;

  /// Create a crossword puzzle game from a crossword and a set of candidate
  /// words.
  factory CrosswordPuzzleGame.from({
    required Crossword crossword,
    required BuiltSet<String> candidateWords,
  }) {
    // Remove all of the currently used words from the list of candidates
    candidateWords = candidateWords.rebuild(
      (p0) => p0.removeAll(crossword.words.map((p1) => p1.word)),
    );

    // This is the list of alternate words for each word in the crossword
    var alternates =
        BuiltMap<Location, BuiltMap<Direction, BuiltList<String>>>();

    // Build the alternate words for each word in the crossword
    for (final crosswordWord in crossword.words) {
      final alternateWords = candidateWords.toBuiltList().rebuild(
        (b) => b
          ..where((b) => b.length == crosswordWord.word.length)
          ..shuffle()
          ..take(4)
          ..sort(),
      );

      candidateWords = candidateWords.rebuild(
        (b) => b.removeAll(alternateWords),
      );

      alternates = alternates.rebuild(
        (b) => b.updateValue(
          crosswordWord.location,
          (b) => b.rebuild(
            (b) => b.updateValue(
              crosswordWord.direction,
              (b) => b.rebuild((b) => b.replace(alternateWords)),
              ifAbsent: () => alternateWords,
            ),
          ),
          ifAbsent: () => {crosswordWord.direction: alternateWords}.build(),
        ),
      );
    }

    return CrosswordPuzzleGame((b) {
      b
        ..crossword.replace(crossword)
        ..alternateWords.replace(alternates);
    });
  }

  factory CrosswordPuzzleGame([
    void Function(CrosswordPuzzleGameBuilder)? updates,
  ]) = _$CrosswordPuzzleGame;
  CrosswordPuzzleGame._();
}

/// Construct the serialization/deserialization code for the data model.
@SerializersFor([
  Location,
  Crossword,
  CrosswordWord,
  CrosswordCharacter,
  WorkQueue,
  DisplayInfo,
  CrosswordPuzzleGame,                                     // Add this line
])
final Serializers serializers = _$serializers;

对 providers.dart 文件的更新是一系列有趣的更改。已移除大多数用于支持统计信息收集的提供程序。移除了更改背景隔离数量的功能，并替换为一个常量。此外，还有一个新的提供程序，可用于访问您之前添加的新 CrosswordPuzzleGame 模型。

lib/providers.dart

import 'dart:convert';
                                                           // Drop the dart:math import

import 'package:built_collection/built_collection.dart';
import 'package:flutter/foundation.dart';
import 'package:flutter/services.dart';
import 'package:riverpod/riverpod.dart';
import 'package:riverpod_annotation/riverpod_annotation.dart';

import 'isolates.dart';
import 'model.dart' as model;

part 'providers.g.dart';

const backgroundWorkerCount = 4;                           // Add this line

/// A provider for the wordlist to use when generating the crossword.
@riverpod
Future<BuiltSet<String>> wordList(Ref ref) async {
  // This codebase requires that all words consist of lowercase characters
  // in the range 'a'-'z'. Words containing uppercase letters will be
  // lowercased, and words containing runes outside this range will
  // be removed.

  final re = RegExp(r'^[a-z]+$');
  final words = await rootBundle.loadString('assets/words.txt');
  return const LineSplitter()
      .convert(words)
      .toBuiltSet()
      .rebuild(
        (b) => b
          ..map((word) => word.toLowerCase().trim())
          ..where((word) => word.length > 2)
          ..where((word) => re.hasMatch(word)),
      );
}

/// An enumeration for different sizes of [model.Crossword]s.
enum CrosswordSize {
  small(width: 20, height: 11),
  medium(width: 40, height: 22),
  large(width: 80, height: 44),
  xlarge(width: 160, height: 88),
  xxlarge(width: 500, height: 500);

  const CrosswordSize({required this.width, required this.height});

  final int width;
  final int height;
  String get label => '$width x $height';
}

/// A provider that holds the current size of the crossword to generate.
@Riverpod(keepAlive: true)
class Size extends _$Size {
  var _size = CrosswordSize.medium;

  @override
  CrosswordSize build() => _size;

  void setSize(CrosswordSize size) {
    _size = size;
    ref.invalidateSelf();
  }
}

@riverpod
Stream<model.WorkQueue> workQueue(Ref ref) async* {
  final size = ref.watch(sizeProvider);                   // Drop the ref.watch(workerCountProvider)
  final wordListAsync = ref.watch(wordListProvider);
  final emptyCrossword = model.Crossword.crossword(
    width: size.width,
    height: size.height,
  );
  final emptyWorkQueue = model.WorkQueue.from(
    crossword: emptyCrossword,
    candidateWords: BuiltSet<String>(),
    startLocation: model.Location.at(0, 0),
  );
                                                          // Drop the startTimeProvider and endTimeProvider refs
  yield* wordListAsync.when(
    data: (wordList) => exploreCrosswordSolutions(
      crossword: emptyCrossword,
      wordList: wordList,
      maxWorkerCount: backgroundWorkerCount,              // Edit this line
    ),
    error: (error, stackTrace) async* {
      debugPrint('Error loading word list: $error');
      yield emptyWorkQueue;
    },
    loading: () async* {
      yield emptyWorkQueue;
    },
  );
}                                                         // Drop the endTimeProvider ref

@riverpod                                                 // Add from here to end of file
class Puzzle extends _$Puzzle {
  model.CrosswordPuzzleGame _puzzle = model.CrosswordPuzzleGame.from(
    crossword: model.Crossword.crossword(width: 0, height: 0),
    candidateWords: BuiltSet<String>(),
  );

  @override
  model.CrosswordPuzzleGame build() {
    final size = ref.watch(sizeProvider);
    final wordList = ref.watch(wordListProvider).value;
    final workQueue = ref.watch(workQueueProvider).value;

    if (wordList != null &&
        workQueue != null &&
        workQueue.isCompleted &&
        (_puzzle.crossword.height != size.height ||
            _puzzle.crossword.width != size.width ||
            _puzzle.crossword != workQueue.crossword)) {
      compute(_puzzleFromCrosswordTrampoline, (
        workQueue.crossword,
        wordList,
      )).then((puzzle) {
        _puzzle = puzzle;
        ref.invalidateSelf();
      });
    }

    return _puzzle;
  }

  Future<void> selectWord({
    required model.Location location,
    required String word,
    required model.Direction direction,
  }) async {
    final candidate = await compute(_puzzleSelectWordTrampoline, (
      _puzzle,
      location,
      word,
      direction,
    ));

    if (candidate != null) {
      _puzzle = candidate;
      ref.invalidateSelf();
    } else {
      debugPrint('Invalid word selection: $word');
    }
  }

  bool canSelectWord({
    required model.Location location,
    required String word,
    required model.Direction direction,
  }) {
    return _puzzle.canSelectWord(
      location: location,
      word: word,
      direction: direction,
    );
  }
}

// Trampoline functions to disentangle these Isolate target calls from the
// unsendable reference to the [Puzzle] provider.

Future<model.CrosswordPuzzleGame> _puzzleFromCrosswordTrampoline(
  (model.Crossword, BuiltSet<String>) args,
) async =>
    model.CrosswordPuzzleGame.from(crossword: args.$1, candidateWords: args.$2);

model.CrosswordPuzzleGame? _puzzleSelectWordTrampoline(
  (model.CrosswordPuzzleGame, model.Location, String, model.Direction) args,
) => args.$1.selectWord(location: args.$2, word: args.$3, direction: args.$4);

Puzzle 提供程序最有趣的部分是，它采取策略来掩盖从 Crossword 和 wordList 创建 CrosswordPuzzleGame 的费用以及选择字词的费用。如果不借助后台隔离区，执行这两项操作都会导致界面互动缓慢。通过使用一些技巧在后台计算最终结果的同时推出中间结果，您最终会获得一个响应迅速的界面，同时所需的计算会在后台进行。

4. 在现在为空的 lib/widgets 目录中，创建一个包含以下内容的 crossword_puzzle_app.dart 文件：

lib/widgets/crossword_puzzle_app.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';

import '../providers.dart';
import 'crossword_generator_widget.dart';
import 'crossword_puzzle_widget.dart';
import 'puzzle_completed_widget.dart';

class CrosswordPuzzleApp extends StatelessWidget {
  const CrosswordPuzzleApp({super.key});

  @override
  Widget build(BuildContext context) {
    return _EagerInitialization(
      child: Scaffold(
        appBar: AppBar(
          actions: [_CrosswordPuzzleAppMenu()],
          titleTextStyle: TextStyle(
            color: Theme.of(context).colorScheme.primary,
            fontSize: 16,
            fontWeight: FontWeight.bold,
          ),
          title: Text('Crossword Puzzle'),
        ),
        body: SafeArea(
          child: Consumer(
            builder: (context, ref, _) {
              final workQueueAsync = ref.watch(workQueueProvider);
              final puzzleSolved = ref.watch(
                puzzleProvider.select((puzzle) => puzzle.solved),
              );

              return workQueueAsync.when(
                data: (workQueue) {
                  if (puzzleSolved) {
                    return PuzzleCompletedWidget();
                  }
                  if (workQueue.isCompleted &&
                      workQueue.crossword.characters.isNotEmpty) {
                    return CrosswordPuzzleWidget();
                  }
                  return CrosswordGeneratorWidget();
                },
                loading: () => Center(child: CircularProgressIndicator()),
                error: (error, stackTrace) => Center(child: Text('$error')),
              );
            },
          ),
        ),
      ),
    );
  }
}

class _EagerInitialization extends ConsumerWidget {
  const _EagerInitialization({required this.child});
  final Widget child;

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    ref.watch(wordListProvider);
    return child;
  }
}

class _CrosswordPuzzleAppMenu extends ConsumerWidget {
  @override
  Widget build(BuildContext context, WidgetRef ref) => MenuAnchor(
    menuChildren: [
      for (final entry in CrosswordSize.values)
        MenuItemButton(
          onPressed: () => ref.read(sizeProvider.notifier).setSize(entry),
          leadingIcon: entry == ref.watch(sizeProvider)
              ? Icon(Icons.radio_button_checked_outlined)
              : Icon(Icons.radio_button_unchecked_outlined),
          child: Text(entry.label),
        ),
    ],
    builder: (context, controller, child) => IconButton(
      onPressed: () => controller.open(),
      icon: Icon(Icons.settings),
    ),
  );
}

现在，您应该对该文件的大部分内容都相当熟悉了。是的，会有未定义的 widget，您现在将开始修复这些 widget。

5. 创建一个 crossword_generator_widget.dart 文件，并向其中添加以下内容：

lib/widgets/crossword_generator_widget.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';
import 'package:two_dimensional_scrollables/two_dimensional_scrollables.dart';

import '../model.dart';
import '../providers.dart';

class CrosswordGeneratorWidget extends ConsumerWidget {
  const CrosswordGeneratorWidget({super.key});

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    final size = ref.watch(sizeProvider);
    return TableView.builder(
      diagonalDragBehavior: DiagonalDragBehavior.free,
      cellBuilder: _buildCell,
      columnCount: size.width,
      columnBuilder: (index) => _buildSpan(context, index),
      rowCount: size.height,
      rowBuilder: (index) => _buildSpan(context, index),
    );
  }

  TableViewCell _buildCell(BuildContext context, TableVicinity vicinity) {
    final location = Location.at(vicinity.column, vicinity.row);

    return TableViewCell(
      child: Consumer(
        builder: (context, ref, _) {
          final character = ref.watch(
            workQueueProvider.select(
              (workQueueAsync) => workQueueAsync.when(
                data: (workQueue) => workQueue.crossword.characters[location],
                error: (error, stackTrace) => null,
                loading: () => null,
              ),
            ),
          );

          final explorationCell = ref.watch(
            workQueueProvider.select(
              (workQueueAsync) => workQueueAsync.when(
                data: (workQueue) =>
                    workQueue.locationsToTry.keys.contains(location),
                error: (error, stackTrace) => false,
                loading: () => false,
              ),
            ),
          );

          if (character != null) {
            return AnimatedContainer(
              duration: Durations.extralong1,
              curve: Curves.easeInOut,
              color: explorationCell
                  ? Theme.of(context).colorScheme.primary
                  : Theme.of(context).colorScheme.onPrimary,
              child: Center(
                child: AnimatedDefaultTextStyle(
                  duration: Durations.extralong1,
                  curve: Curves.easeInOut,
                  style: TextStyle(
                    fontSize: 24,
                    color: explorationCell
                        ? Theme.of(context).colorScheme.onPrimary
                        : Theme.of(context).colorScheme.primary,
                  ),
                  child: Text('•'), // https://www.compart.com/en/unicode/U+2022
                ),
              ),
            );
          }

          return ColoredBox(
            color: Theme.of(context).colorScheme.primaryContainer,
          );
        },
      ),
    );
  }

  TableSpan _buildSpan(BuildContext context, int index) {
    return TableSpan(
      extent: FixedTableSpanExtent(32),
      foregroundDecoration: TableSpanDecoration(
        border: TableSpanBorder(
          leading: BorderSide(
            color: Theme.of(context).colorScheme.onPrimaryContainer,
          ),
          trailing: BorderSide(
            color: Theme.of(context).colorScheme.onPrimaryContainer,
          ),
        ),
      ),
    );
  }
}

您应该也比较熟悉这一点。主要区别在于，您现在显示的是一个 Unicode 字符，用于表示存在未知字符，而不是显示正在生成的字词的字符。这方面确实需要改进，以提升美观度。

6. 创建 crossword_puzzle_widget.dart 文件并向其中添加以下内容：

lib/widgets/crossword_puzzle_widget.dart

import 'package:built_collection/built_collection.dart';
import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';
import 'package:two_dimensional_scrollables/two_dimensional_scrollables.dart';

import '../model.dart';
import '../providers.dart';

class CrosswordPuzzleWidget extends ConsumerWidget {
  const CrosswordPuzzleWidget({super.key});

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    final size = ref.watch(sizeProvider);
    return TableView.builder(
      diagonalDragBehavior: DiagonalDragBehavior.free,
      cellBuilder: _buildCell,
      columnCount: size.width,
      columnBuilder: (index) => _buildSpan(context, index),
      rowCount: size.height,
      rowBuilder: (index) => _buildSpan(context, index),
    );
  }

  TableViewCell _buildCell(BuildContext context, TableVicinity vicinity) {
    final location = Location.at(vicinity.column, vicinity.row);

    return TableViewCell(
      child: Consumer(
        builder: (context, ref, _) {
          final character = ref.watch(
            puzzleProvider.select(
              (puzzle) => puzzle.crossword.characters[location],
            ),
          );
          final selectedCharacter = ref.watch(
            puzzleProvider.select(
              (puzzle) =>
                  puzzle.crosswordFromSelectedWords.characters[location],
            ),
          );
          final alternateWords = ref.watch(
            puzzleProvider.select((puzzle) => puzzle.alternateWords),
          );

          if (character != null) {
            final acrossWord = character.acrossWord;
            var acrossWords = BuiltList<String>();
            if (acrossWord != null) {
              acrossWords = acrossWords.rebuild(
                (b) => b
                  ..add(acrossWord.word)
                  ..addAll(
                    alternateWords[acrossWord.location]?[acrossWord
                            .direction] ??
                        [],
                  )
                  ..sort(),
              );
            }

            final downWord = character.downWord;
            var downWords = BuiltList<String>();
            if (downWord != null) {
              downWords = downWords.rebuild(
                (b) => b
                  ..add(downWord.word)
                  ..addAll(
                    alternateWords[downWord.location]?[downWord.direction] ??
                        [],
                  )
                  ..sort(),
              );
            }

            return MenuAnchor(
              builder: (context, controller, _) {
                return GestureDetector(
                  onTapDown: (details) =>
                      controller.open(position: details.localPosition),
                  child: AnimatedContainer(
                    duration: Durations.extralong1,
                    curve: Curves.easeInOut,
                    color: Theme.of(context).colorScheme.onPrimary,
                    child: Center(
                      child: AnimatedDefaultTextStyle(
                        duration: Durations.extralong1,
                        curve: Curves.easeInOut,
                        style: TextStyle(
                          fontSize: 24,
                          color: Theme.of(context).colorScheme.primary,
                        ),
                        child: Text(selectedCharacter?.character ?? ''),
                      ),
                    ),
                  ),
                );
              },
              menuChildren: [
                if (acrossWords.isNotEmpty && downWords.isNotEmpty)
                  Padding(
                    padding: const EdgeInsets.all(4),
                    child: Text('Across'),
                  ),
                for (final word in acrossWords)
                  _WordSelectMenuItem(
                    location: acrossWord!.location,
                    word: word,
                    selectedCharacter: selectedCharacter,
                    direction: Direction.across,
                  ),
                if (acrossWords.isNotEmpty && downWords.isNotEmpty)
                  Padding(
                    padding: const EdgeInsets.all(4),
                    child: Text('Down'),
                  ),
                for (final word in downWords)
                  _WordSelectMenuItem(
                    location: downWord!.location,
                    word: word,
                    selectedCharacter: selectedCharacter,
                    direction: Direction.down,
                  ),
              ],
            );
          }

          return ColoredBox(
            color: Theme.of(context).colorScheme.primaryContainer,
          );
        },
      ),
    );
  }

  TableSpan _buildSpan(BuildContext context, int index) {
    return TableSpan(
      extent: FixedTableSpanExtent(32),
      foregroundDecoration: TableSpanDecoration(
        border: TableSpanBorder(
          leading: BorderSide(
            color: Theme.of(context).colorScheme.onPrimaryContainer,
          ),
          trailing: BorderSide(
            color: Theme.of(context).colorScheme.onPrimaryContainer,
          ),
        ),
      ),
    );
  }
}

class _WordSelectMenuItem extends ConsumerWidget {
  const _WordSelectMenuItem({
    required this.location,
    required this.word,
    required this.selectedCharacter,
    required this.direction,
  });

  final Location location;
  final String word;
  final CrosswordCharacter? selectedCharacter;
  final Direction direction;

  @override
  Widget build(BuildContext context, WidgetRef ref) {
    final notifier = ref.read(puzzleProvider.notifier);
    return MenuItemButton(
      onPressed:
          ref.watch(
            puzzleProvider.select(
              (puzzle) => puzzle.canSelectWord(
                location: location,
                word: word,
                direction: direction,
              ),
            ),
          )
          ? () => notifier.selectWord(
              location: location,
              word: word,
              direction: direction,
            )
          : null,
      leadingIcon:
          switch (direction) {
            Direction.across => selectedCharacter?.acrossWord?.word == word,
            Direction.down => selectedCharacter?.downWord?.word == word,
          }
          ? Icon(Icons.radio_button_checked_outlined)
          : Icon(Icons.radio_button_unchecked_outlined),
      child: Text(word),
    );
  }
}

此 widget 比上一个 widget 复杂一些，尽管它是由您之前在其他地方看到过的部分构建而成。现在，每个填充的单元格在点击时都会生成一个上下文菜单，其中列出了用户可以选择的字词。如果已选择字词，则无法选择冲突的字词。如需取消选择某个字词，用户可以点按相应字词的菜单项。

假设玩家可以选择字词来填满整个纵横字谜，您需要一个“恭喜，您赢了！”界面。

7. 创建一个 puzzle_completed_widget.dart 文件，然后向其中添加以下内容：

lib/widgets/puzzle_completed_widget.dart

import 'package:flutter/material.dart';

class PuzzleCompletedWidget extends StatelessWidget {
  const PuzzleCompletedWidget({super.key});

  @override
  Widget build(BuildContext context) {
    return Center(
      child: Text(
        'Puzzle Completed!',
        style: TextStyle(fontSize: 36, fontWeight: FontWeight.bold),
      ),
    );
  }
}

我相信您能在此基础上让内容变得更加有趣。如需详细了解动画工具，请参阅在 Flutter 中构建新一代界面 Codelab。

8. 按如下方式修改 lib/main.dart 文件：

lib/main.dart

import 'package:flutter/material.dart';
import 'package:flutter_riverpod/flutter_riverpod.dart';

import 'widgets/crossword_puzzle_app.dart';                 // Update this line

void main() {
  runApp(
    ProviderScope(
      child: MaterialApp(
        title: 'Crossword Puzzle',                          // Update this line
        debugShowCheckedModeBanner: false,
        theme: ThemeData(
          colorSchemeSeed: Colors.blueGrey,
          brightness: Brightness.light,
        ),
        home: CrosswordPuzzleApp(),                         // Update this line
      ),
    ),
  );
}

运行此应用时，您会看到填字游戏生成器生成谜题的动画。然后，您会看到一个空白的待解谜题。假设您解决了该问题，您应该会看到如下所示的界面：

10. 恭喜

恭喜！您已成功使用 Flutter 构建了一款益智游戏！

您构建了一个填字游戏生成器，后来它变成了一款解谜游戏。您已掌握如何在隔离区池中运行后台计算。您使用了不可变的数据结构来简化回溯算法的实现。您还花了一些时间来了解 TableView，这在您下次需要显示表格数据时会非常有用。

了解详情

• 深入了解 Dart 的模式和记录
• 在 Flutter 中构建新一代界面
• 让 Flutter 应用从枯燥乏味变得生动美观
• Flutter 休闲游戏工具包