This commit is contained in:
@@ -0,0 +1,275 @@
|
||||
<!DOCTYPE html>
|
||||
<html lang="zh-Hans">
|
||||
<head>
|
||||
<meta charset="UTF-8">
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1.0">
|
||||
<title>016. 除自身以外数组的乘积 – 图解</title>
|
||||
<link rel="stylesheet" href="../shared/style.css">
|
||||
<style>
|
||||
.vis-area { min-height: 220px; padding: 16px 0; }
|
||||
.code-section { margin-top: 16px; }
|
||||
.arr-label {
|
||||
font-size: 13px; font-weight: 600; margin: 10px 0 4px; display: flex; align-items: center; gap: 6px;
|
||||
}
|
||||
.arr-label .dot { width: 10px; height: 10px; border-radius: 3px; display: inline-block; }
|
||||
.arr-label .dot.blue { background: #3b82f6; }
|
||||
.arr-label .dot.orange { background: #f59e0b; }
|
||||
.arr-label .dot.green { background: #16a34a; }
|
||||
.arr-label .dot.gray { background: #94a3b8; }
|
||||
.tag { display: inline-block; padding: 2px 8px; border-radius: 6px; font-size: 12px; font-weight: 600; margin: 0 2px; }
|
||||
.tag.blue { background: #dbeafe; color: #1e40af; }
|
||||
.tag.orange { background: #fff7ed; color: #9a3412; }
|
||||
.tag.green { background: #dcfce7; color: #166534; }
|
||||
.calc-line { font-family: monospace; font-size: 13px; line-height: 1.8; margin: 2px 0; }
|
||||
</style>
|
||||
</head>
|
||||
<body>
|
||||
<div class="container">
|
||||
<h1>🟡 016. 除自身以外数组的乘积 <span class="badge medium">中等</span></h1>
|
||||
<p class="subtitle">分类：普通数组 ｜ LeetCode Hot 100 ｜ 左右前缀积</p>
|
||||
|
||||
<div class="controls" id="controls">
|
||||
<label for="inputArea">输入：</label>
|
||||
<input type="text" id="inputArea" placeholder="默认示例，可自定义">
|
||||
<button id="applyBtn" class="primary">生成图解</button>
|
||||
<select id="exampleSelect"></select>
|
||||
<span style="flex:1"></span>
|
||||
<button id="prevBtn">◀ 上一步</button>
|
||||
<button id="nextBtn">下一步 ▶</button>
|
||||
<button id="jumpBtn">⏭ 跳到结果</button>
|
||||
<button id="autoBtn">自动播放</button>
|
||||
<button id="resetBtn">重置</button>
|
||||
</div>
|
||||
|
||||
<div class="pipeline" id="pipeline"></div>
|
||||
|
||||
<div class="hint info" id="hintBox">
|
||||
<span id="stepInfo"></span><br>
|
||||
<span id="hintText"></span>
|
||||
</div>
|
||||
|
||||
<div class="panels">
|
||||
<div class="panel" id="mainPanel">
|
||||
<h3>📊 可视化</h3>
|
||||
<div class="vis-area" id="vizArea">点击「生成图解」开始</div>
|
||||
</div>
|
||||
<div class="panel-grid">
|
||||
<div class="panel" id="detailPanel">
|
||||
<h3>📝 当前步骤详情</h3>
|
||||
<div id="detailContent">等待开始...</div>
|
||||
</div>
|
||||
<div class="panel" id="resultPanel">
|
||||
<h3>✅ 结果</h3>
|
||||
<div id="resultContent">等待完成...</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div class="panel code-section">
|
||||
<h3>💻 参考代码（Python）</h3>
|
||||
<div id="codeArea"></div>
|
||||
</div>
|
||||
|
||||
<footer>Powered by QwenPaw · 图解算法 · LeetCode Hot 100</footer>
|
||||
</div>
|
||||
|
||||
<script src="../shared/algo-viz.js"></script>
|
||||
<script>
|
||||
"use strict";
|
||||
(function() {
|
||||
const examples = [
|
||||
{input:[1,2,3,4], label:'示例1: [1,2,3,4]'},
|
||||
{input:[-1,1,0,-3,3], label:'示例2: [-1,1,0,-3,3]'},
|
||||
{input:[2,3,0,4], label:'含零: [2,3,0,4]'},
|
||||
{input:[1,2,3], label:'短数组: [1,2,3]'},
|
||||
];
|
||||
let nums, steps, stepCtrl;
|
||||
|
||||
function buildSteps(arr) {
|
||||
nums = [...arr];
|
||||
steps = [];
|
||||
const n = nums.length;
|
||||
const left = new Array(n).fill(1);
|
||||
const right = new Array(n).fill(1);
|
||||
const answer = new Array(n).fill(1);
|
||||
|
||||
// Init step
|
||||
steps.push({
|
||||
stage:'init', i:-1, left:[...left], right:[...right], answer:[...answer],
|
||||
msg:`初始化：left = right = answer = [${Array(n).fill(1).join(',')}]`
|
||||
});
|
||||
|
||||
// Left pass
|
||||
for (let i = 1; i < n; i++) {
|
||||
left[i] = left[i-1] * nums[i-1];
|
||||
steps.push({
|
||||
stage:'left_pass', i, left:[...left], right:[...right], answer:[...answer],
|
||||
msg:`← 左乘积: left[${i}] = left[${i-1}] × nums[${i-1}] = ${left[i-1]} × ${nums[i-1]} = ${left[i]}`
|
||||
});
|
||||
}
|
||||
|
||||
// Right pass
|
||||
for (let i = n - 2; i >= 0; i--) {
|
||||
right[i] = right[i+1] * nums[i+1];
|
||||
steps.push({
|
||||
stage:'right_pass', i, left:[...left], right:[...right], answer:[...answer],
|
||||
msg:`→ 右乘积: right[${i}] = right[${i+1}] × nums[${i+1}] = ${right[i+1]} × ${nums[i+1]} = ${right[i]}`
|
||||
});
|
||||
}
|
||||
|
||||
// Multiply to get answer
|
||||
for (let i = 0; i < n; i++) {
|
||||
answer[i] = left[i] * right[i];
|
||||
steps.push({
|
||||
stage:'compute', i, left:[...left], right:[...right], answer:[...answer],
|
||||
msg:`计算: answer[${i}] = left[${i}] × right[${i}] = ${left[i]} × ${right[i]} = ${answer[i]}`
|
||||
});
|
||||
}
|
||||
|
||||
steps.push({
|
||||
stage:'done', i:-1, left:[...left], right:[...right], answer:[...answer],
|
||||
msg:`计算完毕！answer = [${answer.join(', ')}]`
|
||||
});
|
||||
}
|
||||
|
||||
function render(rowArr, options = {}) {
|
||||
const {highlights = {}, label = '', labelColor = 'gray'} = options;
|
||||
let html = '';
|
||||
if (label) {
|
||||
html += `<div class="arr-label"><span class="dot ${labelColor}"></span>${label}</div>`;
|
||||
}
|
||||
html += renderArray(rowArr, {highlights});
|
||||
return html;
|
||||
}
|
||||
|
||||
function renderViz(step) {
|
||||
const s = steps[step];
|
||||
const n = nums.length;
|
||||
|
||||
let viz = '';
|
||||
|
||||
// Original array
|
||||
viz += render(nums, {label: '原数组 nums', labelColor: 'gray'});
|
||||
|
||||
// Left prefix products
|
||||
const leftHL = {};
|
||||
if (s.stage === 'left_pass' && s.i >= 0) leftHL[s.i] = 'blue';
|
||||
if (s.stage !== 'init' && s.stage !== 'left_pass') {
|
||||
// highlight all filled
|
||||
for (let i = 1; i < n; i++) leftHL[i] = 'blue';
|
||||
}
|
||||
viz += render(s.left, {highlights: leftHL, label: '左乘积 left (→)', labelColor: 'blue'});
|
||||
|
||||
// Right prefix products
|
||||
const rightHL = {};
|
||||
if (s.stage === 'right_pass' && s.i >= 0) rightHL[s.i] = 'orange';
|
||||
if (s.stage === 'compute' || s.stage === 'done') {
|
||||
for (let i = 0; i < n - 1; i++) rightHL[i] = 'orange';
|
||||
}
|
||||
viz += render(s.right, {highlights: rightHL, label: '右乘积 right (←)', labelColor: 'orange'});
|
||||
|
||||
// Answer
|
||||
const ansHL = {};
|
||||
if (s.stage === 'compute' && s.i >= 0) ansHL[s.i] = 'green';
|
||||
if (s.stage === 'done') {
|
||||
for (let i = 0; i < n; i++) ansHL[i] = 'green';
|
||||
}
|
||||
viz += render(s.answer, {highlights: ansHL, label: '结果 answer', labelColor: 'green'});
|
||||
|
||||
// Formula
|
||||
viz += '<div class="formula-box" style="margin-top:12px;">';
|
||||
viz += `<code>answer[i] = left[i] × right[i]</code><br>`;
|
||||
viz += `<code>left[i] = nums[0] × ... × nums[i-1]</code> <code>right[i] = nums[i+1] × ... × nums[n-1]</code>`;
|
||||
if (s.i >= 0 && (s.stage === 'left_pass' || s.stage === 'right_pass' || s.stage === 'compute')) {
|
||||
viz += '<br>当前计算: ' + s.msg.split(':')[1]?.trim() || '';
|
||||
}
|
||||
viz += '</div>';
|
||||
|
||||
$('vizArea').innerHTML = viz;
|
||||
}
|
||||
|
||||
function renderMain(step) {
|
||||
const s = steps[step];
|
||||
renderViz(step);
|
||||
|
||||
// Detail
|
||||
let detail = '<div class="calc-block">' + s.msg + '</div>';
|
||||
if (s.stage === 'left_pass' && s.i >= 0) {
|
||||
detail += `<div class="calc-line"><span class="tag blue">left[${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>`;
|
||||
} else if (s.stage === 'right_pass' && s.i >= 0) {
|
||||
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>`;
|
||||
} else if (s.stage === 'compute' && s.i >= 0) {
|
||||
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>`;
|
||||
}
|
||||
$('detailContent').innerHTML = detail;
|
||||
|
||||
if (s.stage === 'done') {
|
||||
$('resultContent').innerHTML = `<div class="final-answer">
|
||||
结果：<b>[${s.answer.join(', ')}]</b><br>
|
||||
除自身以外数组的乘积
|
||||
<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>
|
||||
</div>`;
|
||||
}
|
||||
|
||||
$('hintText').textContent = s.msg;
|
||||
|
||||
const stages = [['init','初始化'],['left_pass','左乘积'],['right_pass','右乘积'],['compute','计算结果'],['done','完成']];
|
||||
const activeMap = {
|
||||
'init':'init','left_pass':'left_pass','right_pass':'right_pass','compute':'compute','done':'done'
|
||||
};
|
||||
$('pipeline').innerHTML = stages.map(([k,l]) =>
|
||||
`<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`
|
||||
).join('<i>→</i>');
|
||||
}
|
||||
|
||||
function init() {
|
||||
const sel = $('exampleSelect');
|
||||
examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
|
||||
$('inputArea').value = JSON.stringify(examples[0].input);
|
||||
buildSteps(examples[0].input);
|
||||
stepCtrl = new StepController({onStep: renderMain});
|
||||
stepCtrl.setSteps(steps.map((_,i)=>i));
|
||||
$('stepInfo').textContent = '步骤 1 / ' + steps.length;
|
||||
stepCtrl.onStep = (idx) => { renderMain(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
|
||||
$('applyBtn').onclick = () => {
|
||||
try {
|
||||
const arr = JSON.parse($('inputArea').value);
|
||||
if (!Array.isArray(arr) || arr.length < 2) throw new Error();
|
||||
buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); renderMain(0);
|
||||
$('stepInfo').textContent = '步骤 1 / ' + steps.length;
|
||||
} catch(e) { alert('请输入长度 ≥ 2 的合法 JSON 数组，例如 [1,2,3,4]'); }
|
||||
};
|
||||
$('exampleSelect').onchange = () => {
|
||||
const e = examples[parseInt($('exampleSelect').value)];
|
||||
$('inputArea').value = JSON.stringify(e.input);
|
||||
buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); renderMain(0);
|
||||
};
|
||||
$('prevBtn').onclick = () => stepCtrl.prev();
|
||||
$('nextBtn').onclick = () => stepCtrl.next();
|
||||
$('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
|
||||
$('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂停' : '自动播放'; };
|
||||
$('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
|
||||
}
|
||||
init();
|
||||
|
||||
$('codeArea').innerHTML = renderCode(`def productExceptSelf(nums):
|
||||
n = len(nums)
|
||||
answer = [1] * n
|
||||
|
||||
# 左乘积
|
||||
left = 1
|
||||
for i in range(n):
|
||||
answer[i] = left
|
||||
left *= nums[i]
|
||||
|
||||
# 右乘积
|
||||
right = 1
|
||||
for i in range(n - 1, -1, -1):
|
||||
answer[i] *= right
|
||||
right *= nums[i]
|
||||
|
||||
return answer`, {lang:'Python'});
|
||||
})();
|
||||
</script>
|
||||
</body>
|
||||
</html>
|
||||
Reference in New Issue
Block a user