276 lines
10 KiB
HTML
276 lines
10 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>016. 除自身以外数组的乘积 – 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: 220px; padding: 16px 0; }
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.code-section { margin-top: 16px; }
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.arr-label {
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font-size: 13px; font-weight: 600; margin: 10px 0 4px; display: flex; align-items: center; gap: 6px;
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}
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.arr-label .dot { width: 10px; height: 10px; border-radius: 3px; display: inline-block; }
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.arr-label .dot.blue { background: #3b82f6; }
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.arr-label .dot.orange { background: #f59e0b; }
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.arr-label .dot.green { background: #16a34a; }
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.arr-label .dot.gray { background: #94a3b8; }
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.tag { display: inline-block; padding: 2px 8px; border-radius: 6px; font-size: 12px; font-weight: 600; margin: 0 2px; }
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.tag.blue { background: #dbeafe; color: #1e40af; }
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.tag.orange { background: #fff7ed; color: #9a3412; }
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.tag.green { background: #dcfce7; color: #166534; }
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.calc-line { font-family: monospace; font-size: 13px; line-height: 1.8; margin: 2px 0; }
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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>🟡 016. 除自身以外数组的乘积 <span class="badge medium">中等</span></h1>
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<p class="subtitle">分类：普通数组 ｜ LeetCode Hot 100 ｜ 左右前缀积</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="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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<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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{input:[1,2,3,4], label:'示例1: [1,2,3,4]'},
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{input:[-1,1,0,-3,3], label:'示例2: [-1,1,0,-3,3]'},
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{input:[2,3,0,4], label:'含零: [2,3,0,4]'},
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{input:[1,2,3], label:'短数组: [1,2,3]'},
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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];
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steps = [];
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const n = nums.length;
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const left = new Array(n).fill(1);
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const right = new Array(n).fill(1);
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const answer = new Array(n).fill(1);
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// Init step
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steps.push({
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stage:'init', i:-1, left:[...left], right:[...right], answer:[...answer],
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msg:`初始化：left = right = answer = [${Array(n).fill(1).join(',')}]`
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});
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// Left pass
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for (let i = 1; i < n; i++) {
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left[i] = left[i-1] * nums[i-1];
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steps.push({
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stage:'left_pass', i, left:[...left], right:[...right], answer:[...answer],
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msg:`← 左乘积: left[${i}] = left[${i-1}] × nums[${i-1}] = ${left[i-1]} × ${nums[i-1]} = ${left[i]}`
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});
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}
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// Right pass
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for (let i = n - 2; i >= 0; i--) {
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right[i] = right[i+1] * nums[i+1];
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steps.push({
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stage:'right_pass', i, left:[...left], right:[...right], answer:[...answer],
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msg:`→ 右乘积: right[${i}] = right[${i+1}] × nums[${i+1}] = ${right[i+1]} × ${nums[i+1]} = ${right[i]}`
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});
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}
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// Multiply to get answer
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for (let i = 0; i < n; i++) {
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answer[i] = left[i] * right[i];
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steps.push({
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stage:'compute', i, left:[...left], right:[...right], answer:[...answer],
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msg:`计算: answer[${i}] = left[${i}] × right[${i}] = ${left[i]} × ${right[i]} = ${answer[i]}`
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});
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}
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steps.push({
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stage:'done', i:-1, left:[...left], right:[...right], answer:[...answer],
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msg:`计算完毕！answer = [${answer.join(', ')}]`
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});
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}
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function render(rowArr, options = {}) {
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const {highlights = {}, label = '', labelColor = 'gray'} = options;
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let html = '';
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if (label) {
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html += `<div class="arr-label"><span class="dot ${labelColor}"></span>${label}</div>`;
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}
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html += renderArray(rowArr, {highlights});
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return html;
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}
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function renderViz(step) {
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const s = steps[step];
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const n = nums.length;
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let viz = '';
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// Original array
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viz += render(nums, {label: '原数组 nums', labelColor: 'gray'});
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// Left prefix products
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const leftHL = {};
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if (s.stage === 'left_pass' && s.i >= 0) leftHL[s.i] = 'blue';
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if (s.stage !== 'init' && s.stage !== 'left_pass') {
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// highlight all filled
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for (let i = 1; i < n; i++) leftHL[i] = 'blue';
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}
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viz += render(s.left, {highlights: leftHL, label: '左乘积 left (→)', labelColor: 'blue'});
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// Right prefix products
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const rightHL = {};
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if (s.stage === 'right_pass' && s.i >= 0) rightHL[s.i] = 'orange';
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if (s.stage === 'compute' || s.stage === 'done') {
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for (let i = 0; i < n - 1; i++) rightHL[i] = 'orange';
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}
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viz += render(s.right, {highlights: rightHL, label: '右乘积 right (←)', labelColor: 'orange'});
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// Answer
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const ansHL = {};
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if (s.stage === 'compute' && s.i >= 0) ansHL[s.i] = 'green';
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if (s.stage === 'done') {
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for (let i = 0; i < n; i++) ansHL[i] = 'green';
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}
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viz += render(s.answer, {highlights: ansHL, label: '结果 answer', labelColor: 'green'});
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// Formula
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viz += '<div class="formula-box" style="margin-top:12px;">';
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viz += `<code>answer[i] = left[i] × right[i]</code><br>`;
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viz += `<code>left[i] = nums[0] × ... × nums[i-1]</code> <code>right[i] = nums[i+1] × ... × nums[n-1]</code>`;
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if (s.i >= 0 && (s.stage === 'left_pass' || s.stage === 'right_pass' || s.stage === 'compute')) {
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viz += '<br>当前计算: ' + s.msg.split(':')[1]?.trim() || '';
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}
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viz += '</div>';
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$('vizArea').innerHTML = viz;
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}
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function renderMain(step) {
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const s = steps[step];
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renderViz(step);
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// Detail
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let detail = '<div class="calc-block">' + s.msg + '</div>';
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if (s.stage === 'left_pass' && s.i >= 0) {
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detail += `<div class="calc-line"><span class="tag blue">left[${s.i}]</span> = left[${s.i-1}] × nums[${s.i-1}] = ${s.left[s.i-1]} × ${nums[s.i-1]} = <b>${s.left[s.i]}</b></div>`;
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} else if (s.stage === 'right_pass' && s.i >= 0) {
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detail += `<div class="calc-line"><span class="tag orange">right[${s.i}]</span> = right[${s.i+1}] × nums[${s.i+1}] = ${s.right[s.i+1]} × ${nums[s.i+1]} = <b>${s.right[s.i]}</b></div>`;
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} else if (s.stage === 'compute' && s.i >= 0) {
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detail += `<div class="calc-line"><span class="tag green">answer[${s.i}]</span> = left[${s.i}] × right[${s.i}] = ${s.left[s.i]} × ${s.right[s.i]} = <b>${s.answer[s.i]}</b></div>`;
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}
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$('detailContent').innerHTML = detail;
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if (s.stage === 'done') {
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$('resultContent').innerHTML = `<div class="final-answer">
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结果：<b>[${s.answer.join(', ')}]</b><br>
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除自身以外数组的乘积
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<div class="complexity">时间复杂度 O(n) ｜ 空间复杂度 O(1)（不算输出数组） ｜ 左右前缀积</div>
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</div>`;
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}
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$('hintText').textContent = s.msg;
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const stages = [['init','初始化'],['left_pass','左乘积'],['right_pass','右乘积'],['compute','计算结果'],['done','完成']];
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const activeMap = {
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'init':'init','left_pass':'left_pass','right_pass':'right_pass','compute':'compute','done':'done'
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};
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$('pipeline').innerHTML = stages.map(([k,l]) =>
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`<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 = JSON.stringify(examples[0].input);
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buildSteps(examples[0].input);
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stepCtrl = new StepController({onStep: renderMain});
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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) => { renderMain(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 arr = JSON.parse($('inputArea').value);
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if (!Array.isArray(arr) || arr.length < 2) throw new Error();
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buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); renderMain(0);
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$('stepInfo').textContent = '步骤 1 / ' + steps.length;
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} catch(e) { alert('请输入长度 ≥ 2 的合法 JSON 数组，例如 [1,2,3,4]'); }
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};
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$('exampleSelect').onchange = () => {
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const e = examples[parseInt($('exampleSelect').value)];
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$('inputArea').value = JSON.stringify(e.input);
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buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); renderMain(0);
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};
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$('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 productExceptSelf(nums):
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n = len(nums)
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answer = [1] * n
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# 左乘积
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left = 1
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for i in range(n):
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answer[i] = left
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left *= nums[i]
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# 右乘积
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right = 1
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for i in range(n - 1, -1, -1):
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answer[i] *= right
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right *= nums[i]
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return answer`, {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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