140 lines
7.4 KiB
HTML
140 lines
7.4 KiB
HTML
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<!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>094. 最长公共子序列 – 图解</title>
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<link rel="stylesheet" href="../shared/style.css">
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<style>
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/* page-specific overrides */
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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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</style>
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</head>
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<body>
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<div class="container">
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<h1>🟡 094. 最长公共子序列 <span class="badge medium">中等</span></h1>
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<p class="subtitle">分类：多维动态规划 ｜ LeetCode Hot 100</p>
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<!-- 控制面板 -->
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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="默认示例，可自定义">
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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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<!-- 步骤流水线 -->
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<div class="pipeline" id="pipeline"></div>
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<!-- 提示条 -->
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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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<!-- 可视化面板 -->
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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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<!-- 代码 -->
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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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// ========== Algorithm Logic ==========
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const examples = [
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{s1:'abcde', s2:'ace', label:'示例1: "abcde","ace"'},
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{s1:'abc', s2:'abc', label:'示例2: "abc","abc"'},
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{s1:'abc', s2:'def', label:'示例3: "abc","def"'},
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];
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let steps, stepCtrl, str1, str2, m, n;
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function buildSteps(a, b) {
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str1=a;str2=b;m=a.length;n=b.length;steps=[];
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const dp=[];for(let i=0;i<=m;i++) dp[i]=new Array(n+1).fill(0);
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steps.push({stage:'init',msg:`构建 (${m}+1)×(${n}+1) DP 表`,dp:dp.map(r=>[...r]),row:-1,col:-1});
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for(let i=1;i<=m;i++) for(let j=1;j<=n;j++){
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if(a[i-1]===b[j-1]){dp[i][j]=dp[i-1][j-1]+1;steps.push({stage:'match',msg:`s1[${i-1}]='${a[i-1]}'==s2[${j-1}]='${b[j-1]}'→dp[${i}][${j}]=${dp[i][j]}`,dp:dp.map(r=>[...r]),row:i,col:j,i1:i-1,i2:j-1});}
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else{dp[i][j]=Math.max(dp[i-1][j],dp[i][j-1]);steps.push({stage:'no_match',msg:`s1[${i-1}]='${a[i-1]}'≠s2[${j-1}]='${b[j-1]}'→dp[${i}][${j}]=max(${dp[i-1][j]},${dp[i][j-1]})=${dp[i][j]}`,dp:dp.map(r=>[...r]),row:i,col:j,i1:i-1,i2:j-1});}
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}
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const lcs=[];let ti=m,tj=n;while(ti>0&&tj>0){if(a[ti-1]===b[tj-1]){lcs.unshift(a[ti-1]);ti--;tj--;}else if(dp[ti-1][tj]>=dp[ti][tj-1])ti--;else tj--;}
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steps.push({stage:'done',msg:`LCS=${dp[m][n]}，子序列="${lcs.join('')}"`,dp:dp.map(r=>[...r]),row:m,col:n,lcs:[...lcs]});
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}
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function render(step) {
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const s=steps[step];const hl={};if(s.row>=0&&s.col>=0)hl[`${s.row},${s.col}`]='current';
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for(let i=1;i<=m;i++)for(let j=1;j<=n;j++)if(s.dp[i][j]>0&&!(s.row===i&&s.col===j))hl[`${i},${j}`]='visited';
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let viz='<div style="display:flex;gap:24px;"><div><b>s1:</b> ';
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str1.split('').forEach((ch,i)=>{viz+=`<span class="chip ${s.i1===i?'purple':'default'}" style="width:32px;">${ch}</span>`;});
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viz+='</div><div><b>s2:</b> ';
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str2.split('').forEach((ch,j)=>{viz+=`<span class="chip ${s.i2===j?'purple':'default'}" style="width:32px;">${ch}</span>`;});
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viz+='</div></div><div style="margin-top:12px;overflow-x:auto;"><table style="border-collapse:collapse;font-size:14px;">';
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viz+='<tr><td style="border:1px solid #e2e8f0;padding:6px 10px;background:#f1f5f9;"></td><td style="border:1px solid #e2e8f0;padding:6px 10px;background:#f1f5f9;">∅</td>';
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for(let j=0;j<n;j++) viz+=`<td style="border:1px solid #e2e8f0;padding:6px 10px;background:#f1f5f9;">${str2[j]}</td>`;
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viz+='</tr>';
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for(let i=0;i<=m;i++){viz+='<tr>';viz+=`<td style="border:1px solid #e2e8f0;padding:6px 10px;background:#f1f5f9;">${i===0?'∅':str1[i-1]}</td>`;
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for(let j=0;j<=n;j++){const key=`${i},${j}`;let bg='white',fw='normal';if(hl[key]==='current'){bg='#fef3c7';fw='bold';}else if(hl[key]==='visited'){bg='#ecfdf5';}else if(i===0||j===0){bg='#f1f5f9';}
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viz+=`<td style="border:1px solid #e2e8f0;padding:6px 10px;text-align:center;background:${bg};font-weight:${fw};min-width:40px;">${s.dp[i][j]}</td>`;}
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viz+='</tr>';}
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viz+='</table></div>';$('vizArea').innerHTML=viz;
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let detail='<div class="calc-block">'+s.msg+'</div>';if(s.lcs)detail+=`<div class="current-answer">LCS=<b>"${s.lcs.join('')}"</b></div>`;$('detailContent').innerHTML=detail;
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if(s.stage==='done') $('resultContent').innerHTML=`<div class="final-answer">LCS长度=<b>${s.dp[m][n]}</b><br>子序列="${s.lcs.join('')}"</div>`;
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$('hintText').textContent=s.msg;
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const stages=['init→初始化','match→匹配','no_match→不匹配','done→完成'];
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$('pipeline').innerHTML=stages.map(x=>{const[k,l]=x.split('→');return`<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;}).join('<i>→</i>');
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}
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function init() {
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const sel=$('exampleSelect');examples.forEach((e,i)=>{sel.innerHTML+=`<option value="${i}">${e.label}</option>`;});
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$('inputArea').value='s1="abcde", s2="ace"';buildSteps(examples[0].s1,examples[0].s2);
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stepCtrl=new StepController({onStep:render});stepCtrl.setSteps(steps.map((_,i)=>i));
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$('stepInfo').textContent='步骤 1 / '+steps.length;stepCtrl.onStep=(idx)=>{render(idx);$('stepInfo').textContent=`步骤 ${idx+1} / ${steps.length}`;};
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$('applyBtn').onclick=()=>{const v=$('inputArea').value.match(/s1\s*=\s*"([^"]+)".*s2\s*=\s*"([^"]+)"/);if(!v){alert('格式: s1="abcde", s2="ace"');return;}buildSteps(v[1],v[2]);stepCtrl.setSteps(steps.map((_,i)=>i));render(0);};
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$('exampleSelect').onchange=()=>{const e=examples[parseInt($('exampleSelect').value)];$('inputArea').value=`s1="${e.s1}", s2="${e.s2}"`;buildSteps(e.s1,e.s2);stepCtrl.setSteps(steps.map((_,i)=>i));render(0);};
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$('prevBtn').onclick=()=>stepCtrl.prev();$('nextBtn').onclick=()=>stepCtrl.next();$('jumpBtn').onclick=()=>stepCtrl.jumpToEnd();
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$('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 longestCommonSubsequence(s1, s2):
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m, n = len(s1), len(s2)
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dp = [[0]*(n+1) for _ in range(m+1)]
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for i in range(1, m+1):
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for j in range(1, n+1):
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if s1[i-1] == s2[j-1]:
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dp[i][j] = dp[i-1][j-1] + 1
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else:
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dp[i][j] = max(dp[i-1][j], dp[i][j-1])
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return dp[m][n]`, {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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