241 lines
11 KiB
HTML
241 lines
11 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>054. 实现 Trie (前缀树) – 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>🟡 054. 实现 Trie (前缀树) <span class="badge medium">中等</span></h1>
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<p class="subtitle">分类：图论 ｜ 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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{ops: ['insert("apple")','search("apple")','search("app")','startsWith("app")','insert("app")','search("app")'], label: '示例1: apple/app'},
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{ops: ['insert("dog")','insert("deer")','search("dog")','startsWith("de")'], label: '示例2: dog/deer'},
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];
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let steps, stepCtrl, trieNodes;
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function buildSteps(ops) {
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steps = [];
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trieNodes = [{id:0, char:'ROOT', children:{}, isEnd:false, depth:0}];
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steps.push({stage:'init', msg:'初始化Trie根节点', path:[], currentNode:-1, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'init'});
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for (const op of ops) {
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const insertM = op.match(/insert\("(\w+)"\)/);
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const searchM = op.match(/search\("(\w+)"\)/);
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const startsM = op.match(/startsWith\("(\w+)"\)/);
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if (insertM) {
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const word = insertM[1];
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steps.push({stage:'op_start', msg:`操作: insert("${word}")`, path:[], currentNode:0, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'insert("'+word+'")'});
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let cur = 0;
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const path = [0];
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for (let i=0; i<word.length; i++) {
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const ch = word[i];
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if (!trieNodes[cur].children[ch]) {
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const newId = trieNodes.length;
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trieNodes.push({id:newId, char:ch, children:{}, isEnd:false, depth:i+1});
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trieNodes[cur].children[ch] = newId;
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steps.push({stage:'create', msg:`创建新节点 '${ch}'（不存在）`, path:[...path], currentNode:newId, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'insert("'+word+'")'});
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} else {
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steps.push({stage:'traverse', msg:`节点 '${ch}' 已存在，沿路径前进`, path:[...path], currentNode:trieNodes[cur].children[ch], nodes:JSON.parse(JSON.stringify(trieNodes)), op:'insert("'+word+'")'});
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}
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cur = trieNodes[cur].children[ch];
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path.push(cur);
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}
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trieNodes[cur].isEnd = true;
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steps.push({stage:'mark_end', msg:`标记节点为单词结尾 (${word})`, path:[...path], currentNode:cur, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'insert("'+word+'")'});
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} else if (searchM) {
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const word = searchM[1];
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steps.push({stage:'op_start', msg:`操作: search("${word}")`, path:[], currentNode:0, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'search("'+word+'")'});
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let cur = 0; let found = true;
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const path = [0];
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for (let i=0; i<word.length; i++) {
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const ch = word[i];
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if (!trieNodes[cur].children[ch]) {
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found = false;
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steps.push({stage:'not_found', msg:`节点 '${ch}' 不存在，搜索失败`, path:[...path], currentNode:-1, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'search("'+word+'")'});
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break;
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}
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cur = trieNodes[cur].children[ch];
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path.push(cur);
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steps.push({stage:'traverse', msg:`沿 '${ch}' 前进`, path:[...path], currentNode:cur, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'search("'+word+'")'});
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}
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if (found) {
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if (trieNodes[cur].isEnd) steps.push({stage:'found', msg:`"${word}" 存在且为完整单词 ✓`, path:[...path], currentNode:cur, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'search("'+word+'")'});
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else steps.push({stage:'prefix_only', msg:`"${word}" 只是前缀，不是完整单词`, path:[...path], currentNode:cur, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'search("'+word+'")'});
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}
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} else if (startsM) {
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const prefix = startsM[1];
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steps.push({stage:'op_start', msg:`操作: startsWith("${prefix}")`, path:[], currentNode:0, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'startsWith("'+prefix+'")'});
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let cur = 0; let found = true;
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const path = [0];
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for (let i=0; i<prefix.length; i++) {
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const ch = prefix[i];
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if (!trieNodes[cur].children[ch]) {
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found = false;
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steps.push({stage:'not_found', msg:`节点 '${ch}' 不存在，前缀不存在`, path:[...path], currentNode:-1, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'startsWith("'+prefix+'")'});
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break;
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}
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cur = trieNodes[cur].children[ch];
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path.push(cur);
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steps.push({stage:'traverse', msg:`沿 '${ch}' 前进`, path:[...path], currentNode:cur, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'startsWith("'+prefix+'")'});
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}
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if (found) steps.push({stage:'found', msg:`前缀 "${prefix}" 存在 ✓`, path:[...path], currentNode:cur, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'startsWith("'+prefix+'")'});
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}
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}
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steps.push({stage:'done', msg:'所有操作完成', path:[], currentNode:-1, nodes:JSON.parse(JSON.stringify(trieNodes)), op:'done'});
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}
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function renderTrie(nodes, path, current) {
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const pathSet = new Set(path);
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// Build adjacency from nodes
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function buildTree(nodeId) {
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const node = nodes[nodeId];
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const childKeys = Object.keys(node.children);
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if (childKeys.length === 0) return `<div class="tree-node"><div class="node-circle ${pathSet.has(nodeId)?(nodeId===current?'current':'visited'):''}${node.isEnd?' selected':''}">${node.char==='ROOT'?'⊘':node.char}</div>${node.isEnd?'<span style="font-size:9px;color:var(--green);">●</span>':''}</div>`;
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const children = childKeys.map(k => buildTree(node.children[k]));
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return `<div class="tree-node"><div class="node-circle ${pathSet.has(nodeId)?(nodeId===current?'current':'visited'):''}${node.isEnd?' selected':''}">${node.char==='ROOT'?'⊘':node.char}</div>${node.isEnd?'<span style="font-size:9px;color:var(--green);">●</span>':''}<div class="tree-children">${children.join('')}</div></div>`;
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}
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return '<div class="tree-container">' + buildTree(0) + '</div>';
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}
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function render(step) {
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const s = steps[step];
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let viz = renderTrie(s.nodes, s.path, s.currentNode);
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viz += `<div style="margin-top:8px;"><b>当前操作：</b><code>${s.op}</code></div>`;
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viz += '<div style="margin-top:4px;display:flex;gap:12px;font-size:13px;"><span style="color:var(--green);">● 单词结尾</span><span style="color:#fef3c7;border:2px solid #f59e0b;border-radius:50%;width:14px;height:14px;display:inline-block;"></span> 当前路径</div>';
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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==='done') {
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$('resultContent').innerHTML = '<div class="final-answer">所有操作完成 ✓</div>';
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}
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$('hintText').textContent = s.msg;
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const stages = ['init→初始化','op_start→开始操作','create→创建节点','traverse→遍历','mark_end→标记结尾','found→找到','not_found→未找到','prefix_only→仅前缀','done→完成'];
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$('pipeline').innerHTML = stages.map(st => { const [k,l]=st.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 = $('exampleSelect');
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examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
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buildSteps(examples[0].ops);
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stepCtrl = new StepController({onStep: render, autoInterval:700});
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stepCtrl.setSteps(steps.map((_,i)=>i));
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$('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 ops = JSON.parse($('inputArea').value);
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buildSteps(ops); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length;
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} catch(e) { alert('请输入操作数组，如 ["insert(\\"apple\\")","search(\\"app\\")"]'); }
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};
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$('exampleSelect').onchange = () => {
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const e = examples[parseInt($('exampleSelect').value)];
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buildSteps(e.ops); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
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};
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$('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(`class TrieNode:
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def __init__(self):
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self.children = {}
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self.is_end = False
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class Trie:
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def __init__(self):
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self.root = TrieNode()
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def insert(self, word):
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node = self.root
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for ch in word:
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if ch not in node.children:
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node.children[ch] = TrieNode()
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node = node.children[ch]
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node.is_end = True
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def search(self, word):
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node = self._find(word)
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return node is not None and node.is_end
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def startsWith(self, prefix):
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return self._find(prefix) is not None
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def _find(self, prefix):
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node = self.root
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for ch in prefix:
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if ch not in node.children:
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return None
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node = node.children[ch]
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return node`, {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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