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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>088. 乘积最大子数组 – 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>🟡 088. 乘积最大子数组 <span class="badge medium">中等</span></h1>
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<p class="subtitle">分类：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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{input: [2,3,-2,4], label: '示例1: [2,3,-2,4]'},
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{input: [-2,0,-1], label: '示例2: [-2,0,-1]'},
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{input: [-2,3,-4], label: '示例3: [-2,3,-4]'},
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];
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let nums, steps, stepCtrl;
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function buildSteps(arr) {
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nums = [...arr]; steps = [];
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const n = nums.length;
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const maxDP = new Array(n).fill(0);
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const minDP = new Array(n).fill(0);
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maxDP[0] = nums[0]; minDP[0] = nums[0];
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let globalMax = nums[0];
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steps.push({stage:'init', msg:`maxDP[0]=${nums[0]}，minDP[0]=${nums[0]}（同时维护最大和最小）`, maxDP:[...maxDP], minDP:[...minDP], current:-1, globalMax, candidates:null});
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for (let i = 1; i < n; i++) {
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const candidates = [nums[i], maxDP[i-1]*nums[i], minDP[i-1]*nums[i]];
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maxDP[i] = Math.max(...candidates);
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minDP[i] = Math.min(...candidates);
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globalMax = Math.max(globalMax, maxDP[i]);
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steps.push({stage:'calc', msg:`nums[${i}]=${nums[i]}：候选值 = [${nums[i]}, ${maxDP[i-1]}×${nums[i]}=${candidates[1]}, ${minDP[i-1]}×${nums[i]}=${candidates[2]}]`, maxDP:[...maxDP], minDP:[...minDP], current:i, globalMax, candidates});
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steps.push({stage:'fill', msg:`maxDP[${i}]=${maxDP[i]}，minDP[${i}]=${minDP[i]}，全局最大=${globalMax}`, maxDP:[...maxDP], minDP:[...minDP], current:i, globalMax, candidates});
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}
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steps.push({stage:'done', msg:`乘积最大子数组的积 = ${globalMax}`, maxDP:[...maxDP], minDP:[...minDP], current:n-1, globalMax, candidates:null});
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}
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function render(step) {
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const s = steps[step];
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const hl = {};
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if (s.current >= 0) hl[s.current] = 'orange';
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let viz = renderArray(nums, {highlights: hl});
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viz += '<div style="margin-top:12px;"><b>maxDP（最大乘积）：</b></div>';
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const maxHl = {};
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if (s.current >= 0) maxHl[s.current] = 'green';
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viz += renderArray(s.maxDP, {highlights: maxHl});
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viz += '<div style="margin-top:8px;"><b>minDP（最小乘积）：</b></div>';
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const minHl = {};
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if (s.current >= 0) minHl[s.current] = 'purple';
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viz += renderArray(s.minDP, {highlights: minHl});
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if (s.candidates) {
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viz += '<div style="margin-top:8px;"><b>三个候选：</b></div>';
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viz += '<div style="display:flex;gap:8px;margin:4px 0;">';
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const labels = ['当前数', 'maxDP×当前', 'minDP×当前'];
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s.candidates.forEach((c, idx) => {
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const isMax = c === s.maxDP[s.current];
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const isMin = c === s.minDP[s.current];
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let bd = '1px solid #cbd5e1', bg = '#f8fafc';
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if (isMax && isMin) { bd = '2px solid #8b5cf6'; bg = '#ede9fe'; }
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else if (isMax) { bd = '2px solid #16a34a'; bg = '#dcfce7'; }
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else if (isMin) { bd = '2px solid #7c3aed'; bg = '#ede9fe'; }
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viz += `<span style="padding:4px 10px;background:${bg};border:${bd};border-radius:8px;font-size:13px;">${labels[idx]}=<b>${c}</b></span>`;
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});
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viz += '</div>';
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}
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$('vizArea').innerHTML = viz;
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$('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
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$('detailContent').innerHTML += `<div class="current-answer">全局最大乘积：<b>${s.globalMax}</b></div>`;
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if (s.stage === 'done') {
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$('resultContent').innerHTML = `<div class="final-answer">乘积最大子数组的积 = <b>${s.globalMax}</b></div>`;
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}
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$('hintText').textContent = s.msg;
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const stages = ['init→初始化','calc→计算','fill→填充','done→完成'];
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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 = '[2,3,-2,4]';
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buildSteps(examples[0].input);
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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 { const arr = JSON.parse($('inputArea').value); buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length; }
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catch(e) { alert('请输入合法 JSON 数组'); }
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};
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$('exampleSelect').onchange = () => {
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const e = examples[parseInt($('exampleSelect').value)];
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$('inputArea').value = JSON.stringify(e.input);
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buildSteps(e.input); 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 maxProduct(nums):
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max_dp = min_dp = result = nums[0]
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for i in range(1, len(nums)):
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candidates = (nums[i], max_dp * nums[i], min_dp * nums[i])
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max_dp = max(candidates)
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min_dp = min(candidates)
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result = max(result, max_dp)
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return result`, {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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