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<!DOCTYPE html>
<html lang="zh-Hans">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>055. 全排列 – 图解</title>
<link rel="stylesheet" href="../shared/style.css">
<style>
/* page-specific overrides */
.vis-area { min-height: 120px; padding: 16px 0; }
.code-section { margin-top: 16px; }
</style>
</head>
<body>
<div class="container">
<h1>🟡 055. 全排列 <span class="badge medium">中等</span></h1>
<p class="subtitle">分类:回溯 | LeetCode Hot 100</p>
<!-- 控制面板 -->
<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>
<!-- 步骤流水线 -->
<div class="pipeline" id="pipeline"></div>
<!-- 提示条 -->
<div class="hint info" id="hintBox">
<span id="stepInfo"></span><br>
<span id="hintText"></span>
</div>
<!-- 可视化面板 -->
<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>
<!-- 代码 -->
<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() {
// ========== Algorithm Logic ==========
const examples = [
{input: [1,2,3], label: '示例1: [1,2,3]'},
{input: [0,1], label: '示例2: [0,1]'},
{input: [1], label: '示例3: [1]'},
];
let nums, steps, stepCtrl;
function buildSteps(arr) {
nums = [...arr]; steps = [];
const result = [];
const path = [];
function backtrack(first) {
if (first === nums.length) {
result.push([...nums]);
steps.push({stage:'collect', msg:`排列完成: [${nums}]`, arr:[...nums], first, swapping:null, result:JSON.parse(JSON.stringify(result))});
return;
}
for (let i = first; i < nums.length; i++) {
steps.push({stage:'try', msg:`first=${first},尝试交换位置 ${first}↔${i}`, arr:[...nums], first, swapping:[first,i], result:JSON.parse(JSON.stringify(result))});
[nums[first], nums[i]] = [nums[i], nums[first]];
steps.push({stage:'swap', msg:`交换 nums[${first}]↔nums[${i}] → [${nums}]`, arr:[...nums], first, swapping:null, result:JSON.parse(JSON.stringify(result))});
backtrack(first + 1);
[nums[first], nums[i]] = [nums[i], nums[first]];
steps.push({stage:'undo', msg:`回溯:恢复交换 → [${nums}]`, arr:[...nums], first, swapping:null, result:JSON.parse(JSON.stringify(result))});
}
}
steps.push({stage:'start', msg:'回溯交换法生成全排列', arr:[...nums], first:0, swapping:null, result:[]});
backtrack(0);
steps.push({stage:'done', msg:`共 ${result.length} 个排列`, arr:[...nums], first:-1, swapping:null, result:JSON.parse(JSON.stringify(result))});
}
function render(step) {
const s = steps[step];
const hl = {};
if (s.swapping) { hl[s.swapping[0]] = 'orange'; hl[s.swapping[1]] = 'orange'; }
else if (s.first >= 0) { hl[s.first] = 'purple'; }
if (s.stage==='collect') for (let i=0;i<s.arr.length;i++) hl[i]='green';
let viz = renderArray(s.arr, {highlights:hl});
viz += `<div style="margin-top:8px;">first = ${s.first >= 0 ? s.first : '完成'}</div>`;
if (s.result.length > 0) {
viz += '<div style="margin-top:8px;"><b>已找到:</b></div><div style="display:flex;flex-wrap:wrap;gap:6px;">';
s.result.forEach(r => { viz += `<span class="chip green" style="min-width:auto;padding:2px 8px;font-size:12px;">[${r}]</span>`; });
viz += '</div>';
}
$('vizArea').innerHTML = viz;
$('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
if (s.stage==='done') $('resultContent').innerHTML = `<div class="final-answer">共 <b>${s.result.length}</b> 个排列<br>${s.result.map(r=>'['+r+']').join(', ')}</div>`;
$('hintText').textContent = s.msg;
const stages = ['start→开始','try→尝试','swap→交换','collect→收集','undo→回溯','done→完成'];
$('pipeline').innerHTML = stages.map(st => { const [k,l]=st.split('→'); return `<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 = '[1,2,3]';
buildSteps(examples[0].input);
stepCtrl = new StepController({onStep: render});
stepCtrl.setSteps(steps.map((_,i)=>i));
$('stepInfo').textContent = '步骤 1 / ' + steps.length;
stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
$('applyBtn').onclick = () => {
try { const arr = JSON.parse($('inputArea').value); buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length; }
catch(e) { alert('请输入合法 JSON 数组'); }
};
$('exampleSelect').onchange = () => {
const e = examples[parseInt($('exampleSelect').value)];
buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(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 permute(nums):
res = []
def backtrack(first):
if first == len(nums):
res.append(nums[:])
return
for i in range(first, len(nums)):
nums[first], nums[i] = nums[i], nums[first]
backtrack(first + 1)
nums[first], nums[i] = nums[i], nums[first]
backtrack(0)
return res`, {lang:'Python'});
})();
</script>
</body>
</html>