198 lines
8.4 KiB
HTML
198 lines
8.4 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>053. 课程表 – 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>🟡 053. 课程表 <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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{numCourses: 4, prerequisites: [[1,0],[2,0],[3,1],[3,2]], label: '示例1: 4门课, [1,0],[2,0],[3,1],[3,2]'},
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{numCourses: 2, prerequisites: [[1,0],[0,1]], label: '示例2: 2门课, 有环'},
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{numCourses: 3, prerequisites: [[1,0],[2,1]], label: '示例3: 3门课, 无环'},
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];
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let N, edges, steps, stepCtrl, adj, stateMap;
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function buildSteps(n, prereq) {
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N = n; edges = prereq; steps = [];
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adj = Array.from({length:n}, ()=>[]);
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for (const [a,b] of prereq) adj[a].push(b);
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stateMap = new Array(n).fill(0); // 0=未访问, 1=进行中, 2=完成
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steps.push({stage:'init', msg:`DFS环检测: ${n}门课程, ${prereq.length}条依赖`, node:-1, state:[...stateMap], topo:[], hasCycle:false});
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let hasCycle = false;
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const topoOrder = [];
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function dfs(node) {
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stateMap[node] = 1;
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steps.push({stage:'visiting', msg:`访问课程 ${node}，标记为"进行中"`, node, state:[...stateMap], topo:[...topoOrder], hasCycle:false});
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for (const nb of adj[node]) {
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if (stateMap[nb] === 1) {
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hasCycle = true;
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steps.push({stage:'cycle', msg:`课程 ${nb} 正在访问中！检测到环 ${node}→${nb}`, node:nb, state:[...stateMap], topo:[...topoOrder], hasCycle:true});
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return true;
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}
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if (stateMap[nb] === 0) {
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if (dfs(nb)) return true;
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}
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}
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stateMap[node] = 2;
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topoOrder.push(node);
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steps.push({stage:'done', msg:`课程 ${node} 完成，加入拓扑序列`, node, state:[...stateMap], topo:[...topoOrder], hasCycle:false});
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return false;
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}
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for (let i=0; i<n; i++) {
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if (stateMap[i] === 0) {
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if (dfs(i)) break;
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}
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}
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if (hasCycle) steps.push({stage:'result', msg:'检测到环，无法完成所有课程', node:-1, state:[...stateMap], topo:[...topoOrder], hasCycle:true});
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else steps.push({stage:'result', msg:'无环，可以完成所有课程！拓扑序: [' + topoOrder.reverse().join(', ') + ']', node:-1, state:[...stateMap], topo:[...topoOrder], hasCycle:false});
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}
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function render(step) {
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const s = steps[step];
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const stateColors = {0:'#e2e8f0', 1:'#fef3c7', 2:'#dcfce7'};
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const stateText = {0:'未访问', 1:'进行中', 2:'已完成'};
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const stateBorder = {0:'#94a3b8', 1:'#f59e0b', 2:'#16a34a'};
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let viz = '<div style="display:flex;gap:16px;flex-wrap:wrap;margin-bottom:12px;">';
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for (let i=0; i<N; i++) {
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const bg = stateColors[s.state[i]];
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const border = stateBorder[s.state[i]];
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const isCurr = i===s.node;
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viz += `<div style="width:60px;height:60px;border-radius:50%;display:flex;flex-direction:column;align-items:center;justify-content:center;background:${bg};border:3px solid ${border};font-weight:700;transition:all 0.3s;${isCurr?'transform:scale(1.15);box-shadow:0 0 0 4px rgba(59,130,246,0.3);':''}">${i}<span style="font-size:10px;font-weight:400;">${stateText[s.state[i]]}</span></div>`;
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}
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viz += '</div>';
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viz += '<div style="margin-top:8px;"><b>依赖关系：</b></div>';
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for (const [a,b] of edges) viz += `<span style="margin-right:12px;"><code>${a}←${b}</code></span>`;
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if (s.topo.length > 0) viz += `<div style="margin-top:8px;"><b>拓扑序：</b>${s.topo.join(' → ')}</div>`;
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$('vizArea').innerHTML = viz;
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$('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
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if (s.stage==='result') {
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if (s.hasCycle) $('resultContent').innerHTML = '<div class="final-answer" style="border-color:#f87171;background:#fef2f2;">返回 <b>False</b>（检测到环，无法完成）</div>';
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else $('resultContent').innerHTML = `<div class="final-answer">返回 <b>True</b>（可以完成所有课程）<br>拓扑序: ${s.topo.join(' → ')}</div>`;
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}
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$('hintText').textContent = s.msg;
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const stages = ['init→初始化','visiting→访问中','done→完成','cycle→检测到环','result→结果'];
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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}">${e.label}</option>`; });
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$('inputArea').value = '4, [[1,0],[2,0],[3,1],[3,2]]';
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buildSteps(examples[0].numCourses, examples[0].prerequisites);
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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(/(\d+),\s*(\[[\s\S]*\])/);
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if (!m) { alert('格式: numCourses, [[1,0],[2,0]]'); return; }
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buildSteps(parseInt(m[1]), JSON.parse(m[2]));
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stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length;
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} catch(e) { alert('输入格式错误'); }
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};
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$('exampleSelect').onchange = () => {
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const e = examples[parseInt($('exampleSelect').value)];
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buildSteps(e.numCourses, e.prerequisites); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
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};
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$('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 canFinish(numCourses, prerequisites):
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adj = [[] for _ in range(numCourses)]
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for a, b in prerequisites:
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adj[a].append(b)
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state = [0] * numCourses # 0=未访问 1=进行中 2=完成
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def dfs(node):
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state[node] = 1
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for nb in adj[node]:
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if state[nb] == 1:
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return True # 环
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if state[nb] == 0 and dfs(nb):
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return True
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state[node] = 2
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return False
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for i in range(numCourses):
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if state[i] == 0 and dfs(i):
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return False
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return True`, {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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