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嵌套井字棋开发指南:从规则到AI算法的完整实现

发布时间 / 2026/9/8 2:30:32
来源 / 创域科博编辑部
栏目 / 资讯中心
嵌套井字棋开发指南:从规则到AI算法的完整实现 嵌套井字棋从基础规则到高级策略的完整指南在游戏开发领域井字棋作为最经典的策略游戏之一其简单规则和深度策略一直吸引着开发者深入研究。当传统井字棋遇上嵌套概念一个全新的游戏世界就此展开。本文将完整解析嵌套井字棋的实现原理从基础规则到高级AI算法为游戏开发者提供一套可落地的技术方案。1. 嵌套井字棋的核心概念1.1 什么是嵌套井字棋嵌套井字棋是在传统井字棋基础上的创新扩展。传统井字棋是一个3×3的网格两名玩家轮流在空格中放置自己的标记通常是X和O率先在横、竖或斜方向连成一条线的玩家获胜。嵌套井字棋的创新之处在于将整个游戏板划分为9个标准井字棋网格每个小网格本身又是一个完整的井字棋游戏。玩家的每一步落子不仅影响当前小网格的胜负还会影响整个大网格的战局走向。1.2 游戏规则详解嵌套井字棋的规则体系包含多个层次基本规则游戏板由3×3的大网格组成每个大网格又包含3×3的小网格两名玩家轮流落子先手通常使用X后手使用O玩家的落子位置由两个坐标决定大网格坐标和小网格坐标胜负判定规则小网格胜负当一个小网格中出现三连时该网格被对应玩家占领大网格胜负当大网格中出现三个被同一玩家占领的小网格连成一线时游戏结束平局处理当所有小网格都已下满且未分出胜负时计算各方占领的小网格数量决定胜负1.3 游戏的特殊策略维度嵌套井字棋相比传统版本增加了几个重要的策略要素网格控制权转移玩家当前落子的小网格位置决定了对手下一步必须落子的大网格位置。比如如果玩家在中央大网格的右上角小格落子对手下一步必须在右上角的大网格中落子。双重目标平衡玩家需要同时考虑当前小网格的胜负和整个大网格的战略布局这要求更深层的策略思考。2. 开发环境与工具准备2.1 技术栈选择对于嵌套井字棋的实现我们推荐以下技术组合前端技术HTML5 CSS3构建游戏界面JavaScriptES6实现游戏逻辑Canvas或SVG可选用于更复杂的视觉效果后端技术如需多人对战Node.js Socket.io实时对战功能Python Flask/Django游戏状态管理开发工具Visual Studio Code代码编辑器Chrome DevTools调试工具Git版本控制2.2 项目结构规划tic-tac-toe-nested/ ├── index.html # 主页面 ├── css/ │ └── style.css # 样式文件 ├── js/ │ ├── game.js # 游戏核心逻辑 │ ├── ai.js # AI算法 │ └── ui.js # 界面交互 └── assets/ └── images/ # 资源文件2.3 环境配置要点确保开发环境满足以下要求现代浏览器支持Chrome 70、Firefox 65、Safari 12本地服务器环境可使用Live Server等工具ES6模块支持如需模块化开发3. 游戏数据结构设计3.1 核心数据模型嵌套井字棋的数据结构需要同时维护大网格和小网格的状态class NestedTicTacToe { constructor() { // 大网格状态3x3数组每个元素是一个小网格 this.board this.initializeBoard(); this.currentPlayer X; // 当前玩家 this.currentGrid null; // 当前必须下棋的网格索引 this.gameStatus playing; // 游戏状态 } initializeBoard() { return Array(3).fill().map(() Array(3).fill().map(() ({ cells: Array(3).fill().map(() Array(3).fill(null)), winner: null, isFull: false })) ); } }3.2 状态管理机制游戏状态需要实时跟踪多个维度的信息// 游戏状态对象示例 const gameState { // 棋盘状态 boards: { // 每个小网格的详细状态 0,0: { cells: [...], winner: null, isActive: true }, 0,1: { cells: [...], winner: X, isActive: false }, // ... 其他网格 }, // 游戏流程状态 currentPlayer: X, mandatoryGrid: 1,1, // 必须下棋的网格 gamePhase: midgame, // 开局、中局、残局 // 历史记录用于悔棋等功能 moveHistory: [ { player: X, bigGrid: 0,0, smallGrid: 1,1, timestamp: Date.now() } ] };3.3 胜负判定算法嵌套井字棋的胜负判定需要分层处理class GameLogic { // 检查小网格胜负 checkSmallGridWinner(smallGrid) { const lines [ // 横线 [[0,0], [0,1], [0,2]], [[1,0], [1,1], [1,2]], [[2,0], [2,1], [2,2]], // 竖线 [[0,0], [1,0], [2,0]], [[0,1], [1,1], [2,1]], [[0,2], [1,2], [2,2]], // 对角线 [[0,0], [1,1], [2,2]], [[0,2], [1,1], [2,0]] ]; for (const line of lines) { const [a, b, c] line; if (smallGrid[a[0]][a[1]] smallGrid[a[0]][a[1]] smallGrid[b[0]][b[1]] smallGrid[a[0]][a[1]] smallGrid[c[0]][c[1]]) { return smallGrid[a[0]][a[1]]; } } return null; } // 检查大网格胜负 checkBigGridWinner(bigGridState) { const winners bigGridState.map(row row.map(grid grid.winner) ); return this.checkSmallGridWinner(winners); } }4. 完整游戏实现4.1 界面构建使用HTML和CSS创建游戏界面!DOCTYPE html html langzh-CN head meta charsetUTF-8 meta nameviewport contentwidthdevice-width, initial-scale1.0 title嵌套井字棋/title link relstylesheet hrefcss/style.css /head body div classgame-container div classheader h1嵌套井字棋/h1 div classgame-info span当前玩家: span idcurrent-playerX/span/span span状态: span idgame-status游戏中/span/span /div /div div classbig-board idgame-board !-- 大网格将通过JavaScript动态生成 -- /div div classcontrols button idrestart-btn重新开始/button button idundo-btn悔棋/button /div /div script srcjs/game.js/script script srcjs/ui.js/script /body /html4.2 样式设计CSS样式确保游戏界面清晰易用/* 基础样式 */ .game-container { max-width: 600px; margin: 0 auto; padding: 20px; font-family: Arial, sans-serif; } .big-board { display: grid; grid-template-columns: repeat(3, 1fr); gap: 10px; margin: 20px 0; } .small-grid { display: grid; grid-template-columns: repeat(3, 1fr); gap: 2px; border: 2px solid #333; padding: 5px; background: #f0f0f0; } .small-grid.active { border-color: #007bff; background: #e3f2fd; } .small-grid.won-by-X { background: #ffebee; border-color: #f44336; } .small-grid.won-by-O { background: #e8f5e8; border-color: #4caf50; } .cell { width: 30px; height: 30px; border: 1px solid #ccc; display: flex; align-items: center; justify-content: center; font-size: 20px; font-weight: bold; cursor: pointer; background: white; } .cell:hover { background: #f5f5f5; } .cell.X { color: #f44336; } .cell.O { color: #4caf50; } .controls { text-align: center; margin-top: 20px; } button { padding: 10px 20px; margin: 0 10px; font-size: 16px; cursor: pointer; }4.3 游戏逻辑实现JavaScript实现核心游戏逻辑class NestedTicTacToeGame { constructor() { this.board this.initializeBoard(); this.currentPlayer X; this.currentGrid null; // null表示可以任意选择网格 this.gameOver false; this.winner null; this.moveHistory []; this.initializeEventListeners(); this.renderBoard(); } initializeBoard() { const board []; for (let i 0; i 3; i) { const row []; for (let j 0; j 3; j) { row.push({ cells: Array(3).fill().map(() Array(3).fill(null)), winner: null, isFull: false }); } board.push(row); } return board; } makeMove(bigRow, bigCol, smallRow, smallCol) { // 验证移动合法性 if (this.gameOver) return false; if (this.currentGrid ! null) { const [targetBigRow, targetBigCol] this.currentGrid; if (targetBigRow ! bigRow || targetBigCol ! bigCol) { return false; } } const smallGrid this.board[bigRow][bigCol]; if (smallGrid.cells[smallRow][smallCol] ! null || smallGrid.winner) { return false; } // 执行移动 smallGrid.cells[smallRow][smallCol] this.currentPlayer; this.moveHistory.push({ player: this.currentPlayer, bigGrid: [bigRow, bigCol], smallGrid: [smallRow, smallCol] }); // 检查小网格胜负 this.checkSmallGridWinner(bigRow, bigCol); // 检查大网格胜负 this.checkBigGridWinner(); // 确定下一个必须下棋的网格 this.currentGrid (this.board[smallRow][smallCol].winner || this.board[smallRow][smallCol].isFull) ? null : [smallRow, smallCol]; // 切换玩家 this.currentPlayer this.currentPlayer X ? O : X; this.renderBoard(); return true; } checkSmallGridWinner(bigRow, bigCol) { const smallGrid this.board[bigRow][bigCol]; const lines [ // 横线 [[0,0], [0,1], [0,2]], [[1,0], [1,1], [1,2]], [[2,0], [2,1], [2,2]], // 竖线 [[0,0], [1,0], [2,0]], [[0,1], [1,1], [2,1]], [[0,2], [1,2], [2,2]], // 对角线 [[0,0], [1,1], [2,2]], [[0,2], [1,1], [2,0]] ]; for (const line of lines) { const [a, b, c] line; const cellA smallGrid.cells[a[0]][a[1]]; const cellB smallGrid.cells[b[0]][b[1]]; const cellC smallGrid.cells[c[0]][c[1]]; if (cellA cellA cellB cellA cellC) { smallGrid.winner cellA; return cellA; } } // 检查是否平局 if (smallGrid.cells.flat().every(cell cell ! null)) { smallGrid.isFull true; } return null; } checkBigGridWinner() { const winners this.board.map(row row.map(grid grid.winner) ); const lines [ // 横线 [[0,0], [0,1], [0,2]], [[1,0], [1,1], [1,2]], [[2,0], [2,1], [2,2]], // 竖线 [[0,0], [1,0], [2,0]], [[0,1], [1,1], [2,1]], [[0,2], [1,2], [2,2]], // 对角线 [[0,0], [1,1], [2,2]], [[0,2], [1,1], [2,0]] ]; for (const line of lines) { const [a, b, c] line; const winnerA winners[a[0]][a[1]]; const winnerB winners[b[0]][b[1]]; const winnerC winners[c[0]][c[1]]; if (winnerA winnerA winnerB winnerA winnerC) { this.gameOver true; this.winner winnerA; return winnerA; } } // 检查是否全局平局 if (this.board.flat().every(grid grid.winner || grid.isFull)) { this.gameOver true; // 计算各方占领的网格数量决定胜负 const xCount this.board.flat().filter(grid grid.winner X).length; const oCount this.board.flat().filter(grid grid.winner O).length; this.winner xCount oCount ? X : xCount oCount ? O : draw; } return null; } renderBoard() { const boardElement document.getElementById(game-board); boardElement.innerHTML ; for (let bigRow 0; bigRow 3; bigRow) { for (let bigCol 0; bigCol 3; bigCol) { const smallGrid this.board[bigRow][bigCol]; const gridElement document.createElement(div); gridElement.className small-grid; gridElement.dataset.bigRow bigRow; gridElement.dataset.bigCol bigCol; // 高亮当前可用的网格 if (this.currentGrid null || (this.currentGrid[0] bigRow this.currentGrid[1] bigCol)) { gridElement.classList.add(active); } // 标记已获胜的网格 if (smallGrid.winner) { gridElement.classList.add(won-by-${smallGrid.winner}); } for (let smallRow 0; smallRow 3; smallRow) { for (let smallCol 0; smallCol 3; smallCol) { const cellElement document.createElement(div); cellElement.className cell; cellElement.dataset.smallRow smallRow; cellElement.dataset.smallCol smallCol; const cellValue smallGrid.cells[smallRow][smallCol]; if (cellValue) { cellElement.textContent cellValue; cellElement.classList.add(cellValue); } else { cellElement.addEventListener(click, () this.handleCellClick(bigRow, bigCol, smallRow, smallCol) ); } gridElement.appendChild(cellElement); } } boardElement.appendChild(gridElement); } } // 更新游戏信息 document.getElementById(current-player).textContent this.currentPlayer; document.getElementById(game-status).textContent this.gameOver ? (this.winner draw ? 平局 : 玩家 ${this.winner} 获胜) : 游戏中; } handleCellClick(bigRow, bigCol, smallRow, smallCol) { this.makeMove(bigRow, bigCol, smallRow, smallCol); } initializeEventListeners() { document.getElementById(restart-btn).addEventListener(click, () { this.restartGame(); }); document.getElementById(undo-btn).addEventListener(click, () { this.undoMove(); }); } restartGame() { this.board this.initializeBoard(); this.currentPlayer X; this.currentGrid null; this.gameOver false; this.winner null; this.moveHistory []; this.renderBoard(); } undoMove() { if (this.moveHistory.length 0) return; const lastMove this.moveHistory.pop(); const [bigRow, bigCol] lastMove.bigGrid; const [smallRow, smallCol] lastMove.smallGrid; this.board[bigRow][bigCol].cells[smallRow][smallCol] null; this.board[bigRow][bigCol].winner null; this.board[bigRow][bigCol].isFull false; this.currentPlayer lastMove.player; // 重新计算当前网格 if (this.moveHistory.length 0) { const prevMove this.moveHistory[this.moveHistory.length - 1]; this.currentGrid prevMove.smallGrid; } else { this.currentGrid null; } this.gameOver false; this.winner null; this.renderBoard(); } } // 初始化游戏 document.addEventListener(DOMContentLoaded, () { new NestedTicTacToeGame(); });5. AI对手实现5.1 基础AI算法实现一个简单的基于规则的AIclass BasicAI { constructor(game, player) { this.game game; this.player player; } makeMove() { if (this.game.currentPlayer ! this.player) return; const possibleMoves this.getPossibleMoves(); if (possibleMoves.length 0) return; // 简单策略优先选择能立即获胜的移动 const winningMove this.findWinningMove(possibleMoves); if (winningMove) { this.executeMove(winningMove); return; } // 其次阻止对手获胜 const blockingMove this.findBlockingMove(possibleMoves); if (blockingMove) { this.executeMove(blockingMove); return; } // 随机选择 const randomMove possibleMoves[Math.floor(Math.random() * possibleMoves.length)]; this.executeMove(randomMove); } getPossibleMoves() { const moves []; const targetGrids this.game.currentGrid ? [this.game.currentGrid] : this.game.board.flatMap((row, bigRow) row.map((grid, bigCol) [bigRow, bigCol]) ).filter(([bigRow, bigCol]) !this.game.board[bigRow][bigCol].winner !this.game.board[bigRow][bigCol].isFull ); for (const [bigRow, bigCol] of targetGrids) { const smallGrid this.game.board[bigRow][bigCol]; for (let smallRow 0; smallRow 3; smallRow) { for (let smallCol 0; smallCol 3; smallCol) { if (smallGrid.cells[smallRow][smallCol] null) { moves.push({ bigRow, bigCol, smallRow, smallCol }); } } } } return moves; } findWinningMove(moves) { for (const move of moves) { // 模拟移动 const originalState this.simulateMove(move); // 检查是否获胜 if (this.checkMoveWins(move)) { this.restoreState(originalState); return move; } this.restoreState(originalState); } return null; } simulateMove(move) { const { bigRow, bigCol, smallRow, smallCol } move; const originalValue this.game.board[bigRow][bigCol].cells[smallRow][smallCol]; this.game.board[bigRow][bigCol].cells[smallRow][smallCol] this.player; return { bigRow, bigCol, smallRow, smallCol, originalValue }; } restoreState(state) { const { bigRow, bigCol, smallRow, smallCol, originalValue } state; this.game.board[bigRow][bigCol].cells[smallRow][smallCol] originalValue; } checkMoveWins(move) { const { bigRow, bigCol } move; const smallGrid this.game.board[bigRow][bigCol]; // 简化检查只检查当前小网格 return this.game.checkSmallGridWinner(bigRow, bigCol) this.player; } }5.2 高级AI策略对于更复杂的AI可以使用Minimax算法class AdvancedAI { constructor(game, player, depth 3) { this.game game; this.player player; this.opponent player X ? O : X; this.depth depth; } makeMove() { const bestMove this.findBestMove(); if (bestMove) { this.game.makeMove(bestMove.bigRow, bestMove.bigCol, bestMove.smallRow, bestMove.smallCol); } } findBestMove() { const possibleMoves this.getPossibleMoves(); let bestScore -Infinity; let bestMove null; for (const move of possibleMoves) { const score this.minimax(move, this.depth, false, -Infinity, Infinity); if (score bestScore) { bestScore score; bestMove move; } } return bestMove; } minimax(move, depth, isMaximizing, alpha, beta) { // 模拟移动 const gameState this.simulateGameState(move); // 终止条件 if (depth 0 || gameState.gameOver) { const score this.evaluateBoard(gameState); this.restoreGameState(gameState); return score; } if (isMaximizing) { let maxScore -Infinity; const nextMoves this.getPossibleMovesFromState(gameState); for (const nextMove of nextMoves) { const score this.minimax(nextMove, depth - 1, false, alpha, beta); maxScore Math.max(maxScore, score); alpha Math.max(alpha, score); if (beta alpha) break; // Alpha-Beta剪枝 } this.restoreGameState(gameState); return maxScore; } else { let minScore Infinity; const nextMoves this.getPossibleMovesFromState(gameState); for (const nextMove of nextMoves) { const score this.minimax(nextMove, depth - 1, true, alpha, beta); minScore Math.min(minScore, score); beta Math.min(beta, score); if (beta alpha) break; // Alpha-Beta剪枝 } this.restoreGameState(gameState); return minScore; } } evaluateBoard(gameState) { // 简单的评估函数基于已占领的网格数量 let score 0; for (const row of gameState.board) { for (const grid of row) { if (grid.winner this.player) { score 100; } else if (grid.winner this.opponent) { score - 100; } } } // 考虑中心网格的重要性 if (gameState.board[1][1].winner this.player) score 50; if (gameState.board[1][1].winner this.opponent) score - 50; return score; } }6. 性能优化与进阶功能6.1 游戏性能优化对于复杂的AI计算和界面渲染需要优化性能// 使用Web Worker处理AI计算 class AIPlayer { constructor(game, difficulty medium) { this.game game; this.difficulty difficulty; this.worker new Worker(js/ai-worker.js); this.worker.onmessage (event) { const move event.data; if (move) { this.game.makeMove(move.bigRow, move.bigCol, move.smallRow, move.smallCol); } }; } requestMove() { this.worker.postMessage({ board: this.game.board, currentPlayer: this.game.currentPlayer, currentGrid: this.game.currentGrid, difficulty: this.difficulty }); } } // 实现防抖处理用户输入 class InputHandler { constructor(game) { this.game game; this.debounceTimer null; this.debounceDelay 100; // 毫秒 } handleCellClick(bigRow, bigCol, smallRow, smallCol) { if (this.debounceTimer) { clearTimeout(this.debounceTimer); } this.debounceTimer setTimeout(() { this.game.makeMove(bigRow, bigCol, smallRow, smallCol); }, this.debounceDelay); } }6.2 多人游戏功能添加网络对战支持// 使用Socket.io实现实时对战 class MultiplayerGame { constructor(game, socket) { this.game game; this.socket socket; this.setupSocketEvents(); } setupSocketEvents() { this.socket.on(move-made, (data) { this.game.makeMove(data.bigRow, data.bigCol, data.smallRow, data.smallCol); }); this.socket.on(game-start, (data) { this.game.currentPlayer data.yourSymbol; this.game.renderBoard(); }); this.socket.on(player-joined, (data) { console.log(玩家 ${data.playerId} 加入游戏); }); } makeMove(bigRow, bigCol, smallRow, smallCol) { this.socket.emit(make-move, { bigRow, bigCol, smallRow, smallCol }); } }6.3 数据持久化添加游戏记录保存功能class GameRecorder { constructor() { this.storageKey nested-tic-tac-toe-records; } saveGame(gameState) { const records this.loadRecords(); const record { id: Date.now(), date: new Date().toISOString(), moves: gameState.moveHistory, winner: gameState.winner, duration: this.calculateGameDuration(gameState) }; records.push(record); localStorage.setItem(this.storageKey, JSON.stringify(records)); } loadRecords() { const recordsJson localStorage.getItem(this.storageKey); return recordsJson ? JSON.parse(recordsJson) : []; } calculateGameDuration(gameState) { if (gameState.moveHistory.length 2) return 0; const startTime gameState.moveHistory[0].timestamp; const endTime gameState.moveHistory[gameState.moveHistory.length - 1].timestamp; return endTime - startTime; } getGameStatistics() { const records this.loadRecords(); const stats { totalGames: records.length, wins: { X: 0, O: 0, draw: 0 }, averageMoves: 0, averageDuration: 0 }; if (records.length 0) return stats; let totalMoves 0; let totalDuration 0; records.forEach(record { if (record.winner in stats.wins) { stats.wins[record.winner]; } totalMoves record.moves.length; totalDuration record.duration; }); stats.averageMoves Math.round(totalMoves / records.length); stats.averageDuration Math.round(totalDuration / records.length); return stats; } }7. 常见问题与解决方案7.1 游戏逻辑问题问题1网格状态同步错误现象小网格已分出胜负但界面未更新原因胜负检查逻辑未正确触发或渲染未及时更新解决方案确保每次移动后都重新检查所有相关网格的胜负状态// 正确的状态更新流程 updateGameState() { this.checkAllSmallGrids(); this.checkBigGridWinner(); this.updateCurrentGrid(); this.renderBoard(); } checkAllSmallGrids() { for (let bigRow 0; bigRow 3; bigRow) { for (let bigCol 0; bigCol 3; bigCol) { if (!this.board[bigRow][bigCol].winner) { this.checkSmallGridWinner(bigRow, bigCol); } } } }问题2移动规则验证遗漏现象玩家可以在不应该下棋的网格落子原因移动验证逻辑不完整解决方案完善移动验证函数validateMove(bigRow, bigCol, smallRow, smallCol) { // 游戏是否结束 if (this.gameOver) return false; // 当前网格是否必须下在特定位置 if (this.currentGrid ! null) { const [targetBigRow, targetBigCol] this.currentGrid; if (targetBigRow ! bigRow || targetBigCol ! bigCol) { return false; } } // 目标小网格是否已分出胜负或已满 const smallGrid this.board[bigRow][bigCol]; if (smallGrid.winner || smallGrid.isFull) { return false; } // 目标单元格是否已被占用 if (smallGrid.cells[smallRow][smallCol] ! null) { return false; } return true; }7.2 性能问题问题3AI响应缓慢现象高难度AI思考时间过长原因Minimax算法深度过大或未使用优化解决方案实现算法优化和异步处理optimizeMinimax() { // 使用启发式评估提前剪枝 // 限制搜索深度 // 使用迭代加深 // 实现换位表缓存 }问题4界面卡顿现象游戏界面在大量渲染时出现卡顿原因DOM操作过于频繁解决方案使用虚拟DOM或增量更新optimizeRendering() { // 只更新变化的单元格 // 使用requestAnimationFrame // 避免布局抖动 }7.3 兼容性问题问题5移动端触摸支持现象在手机和平板上操作不灵敏原因未针对触摸事件优化解决方案添加触摸事件支持addTouchSupport() { const cells document.querySelectorAll(.cell); cells.forEach(cell { cell.addEventListener(touchstart, (e) { e.preventDefault(); // 处理触摸逻辑 }); }); }8. 最佳实践与工程建议8.1 代码组织规范模块化设计将游戏逻辑、界面渲染、AI算法分离为独立模块使用ES6模块系统进行组织每个模块职责单一便于测试和维护错误处理对用户输入进行严格验证添加适当的异常捕获机制提供有意义的错误信息class ErrorHandler { static handleGameError(error) { console.error(游戏错误:, error); // 向用户显示友好错误信息 this.showUserMessage(游戏出现异常请刷新页面重试); } static showUserMessage(message) { const messageElement document.createElement(div); messageElement.className error-message; messageElement.textContent message; document.body.appendChild(messageElement); setTimeout(() { messageElement.remove(); }, 3000); } }8.2 测试策略单元测试为核心游戏逻辑编写测试用例测试各种边界情况确保AI算法的正确性// 使用Jest等测试框架 describe(NestedTicTacToe, () { test(应该正确判断小网格胜负, () { const game new NestedTicTacToe(); // 测试各种胜负情况 }); test(应该正确处理网格转移规则, () { // 测试移动规则 }); });集成测试测试完整游戏流程验证界面与逻辑的交互测试多人游戏功能8.3 性能监控游戏性能指标帧率监控内存使用情况AI思考时间统计class PerformanceMonitor { constructor() { this
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