250 lines
11 KiB
HTML
250 lines
11 KiB
HTML
<!DOCTYPE html>
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<html lang="zh-Hans">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>064. 搜索二维矩阵 – 图解</title>
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<link rel="stylesheet" href="../shared/style.css">
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<style>
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.vis-area { min-height: 120px; padding: 16px 0; }
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.code-section { margin-top: 16px; }
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.phase-tag { display:inline-block; padding:2px 10px; border-radius:999px; font-size:12px; font-weight:600; margin-bottom:8px; }
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.phase-tag.row { background:#dbeafe; color:#1e40af; }
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.phase-tag.col { background:#dcfce7; color:#166534; }
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</style>
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</head>
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<body>
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<div class="container">
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<h1>🟡 064. 搜索二维矩阵 <span class="badge medium">中等</span></h1>
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<p class="subtitle">分类：二分查找 ｜ LeetCode Hot 100</p>
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<div class="controls" id="controls">
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<label for="inputArea">输入：</label>
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<input type="text" id="inputArea" placeholder="matrix=[[1,3,5,7],[10,11,16,20],[23,30,34,60]], target=3">
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<button id="applyBtn" class="primary">生成图解</button>
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<select id="exampleSelect"></select>
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<span style="flex:1"></span>
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<button id="prevBtn">◀ 上一步</button>
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<button id="nextBtn">下一步 ▶</button>
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<button id="jumpBtn">⏭ 跳到结果</button>
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<button id="autoBtn">自动播放</button>
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<button id="resetBtn">重置</button>
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</div>
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<div class="pipeline" id="pipeline"></div>
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<div class="hint info" id="hintBox">
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<span id="stepInfo"></span><br>
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<span id="hintText"></span>
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</div>
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<div class="panels">
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<div class="panel" id="mainPanel">
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<h3>📊 可视化</h3>
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<div class="vis-area" id="vizArea">点击「生成图解」开始</div>
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</div>
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<div class="panel-grid">
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<div class="panel" id="detailPanel">
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<h3>📝 当前步骤详情</h3>
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<div id="detailContent">等待开始...</div>
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</div>
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<div class="panel" id="resultPanel">
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<h3>✅ 结果</h3>
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<div id="resultContent">等待完成...</div>
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</div>
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</div>
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</div>
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<div class="panel code-section">
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<h3>💻 参考代码（Python）</h3>
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<div id="codeArea"></div>
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</div>
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<footer>Powered by QwenPaw · 图解算法 · LeetCode Hot 100</footer>
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</div>
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<script src="../shared/algo-viz.js"></script>
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<script>
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"use strict";
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(function() {
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const examples = [
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{matrix:[[1,3,5,7],[10,11,16,20],[23,30,34,60]], target:3, label:'示例1: target=3'},
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{matrix:[[1,3,5,7],[10,11,16,20],[23,30,34,60]], target:13, label:'示例2: target=13'},
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{matrix:[[1]], target:1, label:'示例3: 1×1矩阵'},
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];
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let matrix, target, steps, stepCtrl;
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function buildSteps(mat, tgt) {
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matrix = mat; target = tgt;
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steps = [];
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const m = mat.length, n = mat[0].length;
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steps.push({phase:'init', stage:'start', msg:`初始化：${m}行×${n}列矩阵，target=${tgt}`, rowL:0, rowR:m-1, rowMid:-1, colL:-1, colR:-1, colMid:-1, found:false, hlRow:-1, hlCell:''});
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// Phase 1: binary search on rows
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let rowL = 0, rowR = m - 1;
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steps.push({phase:'row', stage:'rowStart', msg:`第一步：在行上二分，找到 target 可能所在的行`, rowL, rowR, rowMid:-1, colL:-1, colR:-1, colMid:-1, found:false, hlRow:-1, hlCell:''});
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let targetRow = -1;
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while (rowL <= rowR) {
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const rowMid = Math.floor((rowL + rowR) / 2);
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steps.push({phase:'row', stage:'rowCalc', msg:`行二分：rowMid = ⌊(${rowL}+${rowR})/2⌋ = ${rowMid}，第${rowMid}行首元素=${mat[rowMid][0]}，末元素=${mat[rowMid][n-1]}`, rowL, rowR, rowMid, colL:-1, colR:-1, colMid:-1, found:false, hlRow:rowMid, hlCell:''});
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if (mat[rowMid][0] > tgt) {
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steps.push({phase:'row', stage:'rowUp', msg:`第${rowMid}行首元素 ${mat[rowMid][0]} > ${tgt}，target 不会在当前行及以下，rowR = ${rowMid}-1 = ${rowMid-1}`, rowL, rowR:rowMid-1, rowMid, colL:-1, colR:-1, colMid:-1, found:false, hlRow:rowMid, hlCell:''});
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rowR = rowMid - 1;
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} else if (mat[rowMid][n-1] < tgt) {
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steps.push({phase:'row', stage:'rowDown', msg:`第${rowMid}行末元素 ${mat[rowMid][n-1]} < ${tgt}，target 不在当前行及以上，rowL = ${rowMid}+1 = ${rowMid+1}`, rowL:rowMid+1, rowR, rowMid, colL:-1, colR:-1, colMid:-1, found:false, hlRow:rowMid, hlCell:''});
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rowL = rowMid + 1;
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} else {
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steps.push({phase:'row', stage:'rowFound', msg:`${tgt} ∈ [${mat[rowMid][0]}, ${mat[rowMid][n-1]}]，target 可能在第 ${rowMid} 行`, rowL, rowR, rowMid, colL:-1, colR:-1, colMid:-1, found:false, hlRow:rowMid, hlCell:''});
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targetRow = rowMid;
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break;
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}
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}
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if (targetRow === -1) {
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steps.push({phase:'done', stage:'notFound', msg:`未找到包含 ${tgt} 的行，返回 false`, rowL, rowR, rowMid:-1, colL:-1, colR:-1, colMid:-1, found:false, hlRow:-1, hlCell:''});
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return;
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}
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// Phase 2: binary search on columns
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let colL = 0, colR = n - 1;
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steps.push({phase:'col', stage:'colStart', msg:`第二步：在第 ${targetRow} 行内二分查找 ${tgt}`, rowL, rowR, rowMid:targetRow, colL, colR, colMid:-1, found:false, hlRow:targetRow, hlCell:''});
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while (colL <= colR) {
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const colMid = Math.floor((colL + colR) / 2);
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steps.push({phase:'col', stage:'colCalc', msg:`列二分：colMid = ⌊(${colL}+${colR})/2⌋ = ${colMid}，matrix[${targetRow}][${colMid}] = ${mat[targetRow][colMid]}`, rowL, rowR, rowMid:targetRow, colL, colR, colMid, found:false, hlRow:targetRow, hlCell:`${targetRow},${colMid}`});
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if (mat[targetRow][colMid] === tgt) {
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steps.push({phase:'col', stage:'found', msg:`matrix[${targetRow}][${colMid}] = ${mat[targetRow][colMid]} == ${tgt}，找到！`, rowL, rowR, rowMid:targetRow, colL, colR, colMid, found:true, hlRow:targetRow, hlCell:`${targetRow},${colMid}`});
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return;
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} else if (mat[targetRow][colMid] < tgt) {
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steps.push({phase:'col', stage:'colRight', msg:`${mat[targetRow][colMid]} < ${tgt}，右半区查找，colL = ${colMid}+1 = ${colMid+1}`, rowL, rowR, rowMid:targetRow, colL:colMid+1, colR, colMid, found:false, hlRow:targetRow, hlCell:`${targetRow},${colMid}`});
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colL = colMid + 1;
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} else {
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steps.push({phase:'col', stage:'colLeft', msg:`${mat[targetRow][colMid]} > ${tgt}，左半区查找，colR = ${colMid}-1 = ${colMid-1}`, rowL, rowR, rowMid:targetRow, colL, colR:colMid-1, colMid, found:false, hlRow:targetRow, hlCell:`${targetRow},${colMid}`});
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colR = colMid - 1;
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}
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}
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steps.push({phase:'done', stage:'notFound', msg:`在第 ${targetRow} 行中未找到 ${tgt}，返回 false`, rowL, rowR, rowMid:targetRow, colL, colR, colMid:-1, found:false, hlRow:targetRow, hlCell:''});
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}
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function render(step) {
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const s = steps[step];
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const mat = matrix;
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const m = mat.length, n = mat[0].length;
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// Matrix visualization
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const gridHl = {};
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if (s.hlCell) gridHl[s.hlCell] = 'current';
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const rowHlH = {};
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if (s.hlRow >= 0) {
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for (let c = 0; c < n; c++) {
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if (s.hlCell !== `${s.hlRow},${c}`) gridHl[`${s.hlRow},${c}`] = 'visited';
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}
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}
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let viz = `<div class="phase-tag ${s.phase==='row'||s.phase==='init'?'row':'col'}">${s.phase==='row'||s.phase==='init'?'阶段一：行二分':'阶段二：列二分'}</div>`;
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viz += renderGrid(mat, {highlights: gridHl, cellSize: 44});
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// Row binary search info
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if (s.rowMid >= 0) {
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viz += `<div style="margin-top:10px;font-size:13px;">行搜索：left=${s.rowL}, right=${s.rowR}, mid=${s.rowMid}`;
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if (s.rowMid < m) viz += ` → 行首=${mat[s.rowMid]?.[0]}, 行末=${mat[s.rowMid]?.[n-1]}`;
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viz += '</div>';
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}
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if (s.colMid >= 0) {
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viz += `<div style="font-size:13px;">列搜索：left=${s.colL}, right=${s.colR}, mid=${s.colMid} → 值=${mat[s.hlRow][s.colMid]}</div>`;
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}
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viz += `<div style="font-size:13px;color:var(--purple);font-weight:600;">target = ${target}</div>`;
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if (s.found) {
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viz += `<div class="current-answer">✅ 找到！matrix[${s.hlRow}][${s.colMid}] = ${target}</div>`;
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}
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$('vizArea').innerHTML = viz;
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$('detailContent').innerHTML = `<div class="calc-block">${s.msg}</div>`;
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if (s.stage === 'found') {
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$('resultContent').innerHTML = `<div class="final-answer">返回 <b>true</b><br>位置：matrix[${s.hlRow}][${s.colMid}] = ${target}<br>时间复杂度 O(log m + log n)</div>`;
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} else if (s.stage === 'notFound') {
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$('resultContent').innerHTML = `<div class="final-answer" style="border-color:#f87171;background:#fef2f2;">返回 <b>false</b><br>矩阵中不存在 ${target}</div>`;
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}
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$('hintText').textContent = s.msg;
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const stages = ['start→开始','rowStart→行搜索','rowCalc→行计算','rowFound→定位行','colStart→列搜索','colCalc→列计算','found→找到','notFound→未找到'];
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$('pipeline').innerHTML = stages.map(st => {
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const [k,l] = st.split('→');
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return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
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}).join('<i>→</i>');
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}
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function init() {
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const sel = $('exampleSelect');
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examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
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$('inputArea').value = 'matrix=[[1,3,5,7],[10,11,16,20],[23,30,34,60]], target=3';
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buildSteps(examples[0].matrix, examples[0].target);
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stepCtrl = new StepController({onStep: render});
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stepCtrl.setSteps(steps.map((_,i)=>i));
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$('stepInfo').textContent = `步骤 1 / ${steps.length}`;
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stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
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$('applyBtn').onclick = () => {
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try {
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const m = $('inputArea').value.match(/matrix=(\[\[.*?\]\]).*target=(-?\d+)/s);
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if (!m) { alert('格式: matrix=[[1,3,5,7],[10,11,16,20]], target=3'); return; }
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const mat = JSON.parse(m[1]);
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const tgt = parseInt(m[2]);
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buildSteps(mat, tgt);
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stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
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$('stepInfo').textContent = `步骤 1 / ${steps.length}`;
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} catch(e) { alert('输入格式错误'); }
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};
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$('exampleSelect').onchange = () => {
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const e = examples[parseInt($('exampleSelect').value)];
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$('inputArea').value = `matrix=${JSON.stringify(e.matrix)}, target=${e.target}`;
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buildSteps(e.matrix, e.target);
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stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
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};
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$('prevBtn').onclick = () => stepCtrl.prev();
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$('nextBtn').onclick = () => stepCtrl.next();
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$('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
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$('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂停' : '自动播放'; };
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$('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
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}
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init();
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$('codeArea').innerHTML = renderCode(`def searchMatrix(matrix, target):
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m, n = len(matrix), len(matrix[0])
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# 第一步：二分找行
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top, bottom = 0, m - 1
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while top <= bottom:
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row = (top + bottom) // 2
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if matrix[row][0] > target:
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bottom = row - 1
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elif matrix[row][-1] < target:
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top = row + 1
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else:
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break
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if top > bottom:
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return False
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row = (top + bottom) // 2
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# 第二步：在行内二分
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l, r = 0, n - 1
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while l <= r:
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mid = (l + r) // 2
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if matrix[row][mid] == target:
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return True
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elif matrix[row][mid] < target:
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l = mid + 1
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else:
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r = mid - 1
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return False`, {lang:'Python'});
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})();
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</script>
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</body>
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</html>
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