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illustrated-algorithm/find-the-duplicate-number/index.html
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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>100. 寻找重复数 – 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>🟡 100. 寻找重复数 <span class="badge medium">中等</span></h1>
<p class="subtitle">分类:技巧 | 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:[1,3,4,2,2], label:'示例1: [1,3,4,2,2]'},
{input:[3,1,3,4,2], label:'示例2: [3,1,3,4,2]'},
{input:[3,3,3,3,3], label:'示例3: [3,3,3,3,3]'},
];
let nums, steps, stepCtrl;
function buildSteps(arr) {
nums=[...arr];steps=[];
steps.push({stage:'init',msg:'数组→链表 f(x)=nums[x],必有环!快慢指针找环入口=重复数',arr:[...nums],slow:0,fast:0,phase:0});
let slow=0,fast=0;
steps.push({stage:'start',msg:'起点0',arr:[...nums],slow:0,fast:0,phase:1});
do{slow=arr[slow];fast=arr[arr[fast]];steps.push({stage:'move',msg:`慢→${slow} 快→${fast}`,arr:[...nums],slow,fast,phase:1});}while(slow!==fast);
steps.push({stage:'meet',msg:`相遇于${slow}!`,arr:[...nums],slow,fast,phase:1});
let p1=0,p2=slow;steps.push({stage:'phase2',msg:'阶段2:从0和相遇点同速走',arr:[...nums],slow:p1,fast:p2,phase:2});
while(p1!==p2){p1=arr[p1];p2=arr[p2];steps.push({stage:'seek',msg:`ptr1→${p1} ptr2→${p2}`,arr:[...nums],slow:p1,fast:p2,phase:2});}
steps.push({stage:'done',msg:`环入口=${p1}即重复数`,arr:[...nums],slow:p1,fast:p2,phase:3});
}
function render(step) {
const s=steps[step];
let viz='<div style="font-weight:600;color:#64748b;margin-bottom:8px;">数组→链表:</div><div class="nums-line">';
s.arr.forEach((v,i)=>{viz+=`<span class="chip-group"><span class="chip ${i===s.slow||i===s.fast?'purple':'default'}" style="min-width:40px;">${v}</span><span class="chip-index">${i}</span></span>`;});viz+='</div>';
viz+=`<div style="font-size:12px;color:#64748b;margin-top:4px;">f(index) = nums[index]</div>`;
viz+=`<div style="margin-top:12px;padding:12px;background:#f8fafc;border-radius:8px;">`;
if(s.phase===1){viz+=`<div><b>🏃慢:</b><span style="color:var(--blue);font-weight:700;font-size:18px;">${s.slow}</span></div><div><b>🐇快:</b><span style="color:var(--purple);font-weight:700;font-size:18px;">${s.fast}</span></div>`;}
else if(s.phase===2){viz+=`<div><b>📍ptr1:</b><span style="color:var(--blue);font-weight:700;font-size:18px;">${s.slow}</span></div><div><b>📍ptr2:</b><span style="color:var(--purple);font-weight:700;font-size:18px;">${s.fast}</span></div>`;}
else if(s.phase===3){viz+=`<div style="font-size:20px;font-weight:700;color:var(--green);">🎯重复数=${s.slow}</div>`;}
viz+='</div>';
if(s.phase>=1){viz+='<div style="margin-top:12px;"><b>链表路径:</b></div><div style="display:flex;flex-wrap:wrap;gap:4px;margin-top:4px;align-items:center;">';const path=[0];let cur=0;const seen=new Set([0]);for(let k=0;k<nums.length+2;k++){cur=nums[cur];path.push(cur);if(seen.has(cur))break;seen.add(cur);}
path.forEach((node,idx)=>{const isS=node===s.slow,isF=node===s.fast;let bg='#f1f5f9',bd='2px solid #e2e8f0';if(isS&&isF){bg='#dcfce7';bd='2px solid #16a34a';}else if(isS){bg='#dbeafe';bd='2px solid #3b82f6';}else if(isF){bg='#f3e8ff';bd='2px solid #8b5cf6';}
viz+=`<div style="padding:6px 12px;background:${bg};border:${bd};border-radius:8px;font-weight:700;">${node}</div>`;if(idx<path.length-1)viz+=`<div style="color:#94a3b8;">→</div>`;});viz+='</div>';}
$('vizArea').innerHTML=viz;
const pn=['准备','阶段1:找相遇','阶段2:找环入口','完成'];
$('detailContent').innerHTML='<div class="calc-block">'+s.msg+'</div>'+`<div class="current-answer">${pn[s.phase]}</div>`;
if(s.stage==='done') $('resultContent').innerHTML=`<div class="final-answer">重复数=<b>${s.slow}</b></div>`;
$('hintText').textContent=s.msg;
const stages=['init→初始化','start→出发','move→移动','meet→相遇','phase2→阶段2','seek→寻找','done→完成'];
$('pipeline').innerHTML=stages.map(x=>{const[k,l]=x.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='[1,3,4,2,2]';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}`;};
$('applyBtn').onclick=()=>{try{const a=JSON.parse($('inputArea').value);buildSteps(a);stepCtrl.setSteps(steps.map((_,i)=>i));render(0);}catch(e){alert('请输入1~n的n+1个数的JSON数组');}};
$('exampleSelect').onchange=()=>{const e=examples[parseInt($('exampleSelect').value)];$('inputArea').value=JSON.stringify(e.input);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 findDuplicate(nums):
slow = fast = 0
while True:
slow = nums[slow]
fast = nums[nums[fast]]
if slow == fast: break
slow = 0
while slow != fast:
slow = nums[slow]
fast = nums[fast]
return slow`, {lang:'Python'});
})();
</script>
</body>
</html>