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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>015. 轮转数组 – 图解</title>
<link rel="stylesheet" href="../shared/style.css">
<style>
.vis-area { min-height: 200px; padding: 16px 0; }
.code-section { margin-top: 16px; }
.step-title {
font-size: 15px; font-weight: 700; margin: 12px 0 6px; display: flex; align-items: center; gap: 8px;
}
.step-title .num {
width: 24px; height: 24px; border-radius: 50%; background: #4f46e5; color: white;
display: inline-flex; align-items: center; justify-content: center; font-size: 13px;
}
.range-label {
display: inline-block; padding: 2px 10px; border-radius: 8px; font-size: 12px;
font-weight: 600; margin: 4px 2px;
}
.range-label.purple { background: #ede9fe; color: #5b21b6; }
.range-label.orange { background: #fff7ed; color: #9a3412; }
.range-label.cyan { background: #cffafe; color: #155e75; }
kbd { background: #f1f5f9; padding: 2px 6px; border-radius: 4px; font-size: 12px; border: 1px solid #e2e8f0; font-family: monospace; }
</style>
</head>
<body>
<div class="container">
<h1>🟡 015. 轮转数组 <span class="badge medium">中等</span></h1>
<p class="subtitle">分类:普通数组 | LeetCode Hot 100 | 三次反转法</p>
<div class="controls" id="controls">
<label for="inputArea">数组:</label>
<input type="text" id="inputArea" placeholder="默认示例" style="width:200px;">
<label for="kInput" style="margin-left:8px;">k =</label>
<input type="text" id="kInput" placeholder="3" style="width:60px;">
<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:[1,2,3,4,5,6,7], k:3, label:'示例1: [1,2,3,4,5,6,7] k=3'},
{input:[-1,-100,3,99], k:2, label:'示例2: [-1,-100,3,99] k=2'},
{input:[1,2,3,4,5,6], k:1, label:'示例3: [1,2,3,4,5,6] k=1'},
{input:[1,2], k:3, label:'示例4: k>n 取模'},
];
let origNums, k, steps, stepCtrl;
function reverse(arr, l, r) {
const a = [...arr];
while (l < r) { [a[l], a[r]] = [a[r], a[l]]; l++; r--; }
return a;
}
function buildSteps(arr, kk) {
origNums = [...arr];
k = kk % arr.length;
if (k === 0) k = arr.length; // if kk%n==0, show full cycle anyway for pedagogy
k = kk % arr.length;
steps = [];
const n = arr.length;
// Step 0: Original
steps.push({
stage:'original', arr:[...arr], reverseRange:null,
msg:`原始数组: [${arr.join(', ')}],k = ${kk}${kk !== k ? ` → k%n = ${k}` : ''},将右轮转 ${k} 个位置`
});
// Step 1: Reverse entire array
const afterFull = reverse(arr, 0, n - 1);
steps.push({
stage:'reverse_all', arr: afterFull, reverseRange: [0, n-1],
msg:`第①步:反转整个数组 [0,${n-1}] → [${afterFull.join(', ')}]`
});
// Step 2: Reverse first k elements
const afterFirst = reverse(afterFull, 0, k - 1);
steps.push({
stage:'reverse_k', arr: afterFirst, reverseRange: [0, k-1],
msg:`第②步:反转前 ${k} 个元素 [0,${k-1}] → [${afterFirst.join(', ')}]`
});
// Step 3: Reverse last n-k elements
const afterSecond = reverse(afterFirst, k, n - 1);
steps.push({
stage:'reverse_nk', arr: afterSecond, reverseRange: [k, n-1],
msg:`第③步:反转后 ${n-k} 个元素 [${k},${n-1}] → [${afterSecond.join(', ')}]`
});
// Step 4: Done
steps.push({
stage:'done', arr: afterSecond, reverseRange:null,
msg:`轮转完成!每个元素右移了 ${k} 个位置(循环)`
});
}
function renderArrWithRange(arr, range, stage, n, kk) {
const hl = {};
if (range) {
for (let i = range[0]; i <= range[1] && i < arr.length; i++) {
if (stage === 'reverse_all') hl[i] = 'purple';
else if (stage === 'reverse_k') hl[i] = 'orange';
else if (stage === 'reverse_nk') hl[i] = 'cyan';
}
}
const pointers = {};
if (range) {
pointers[stage === 'reverse_k' ? 'k' : (stage === 'reverse_nk' ? 's' : '')] = null;
}
let html = renderArray(arr, {highlights: hl});
if (range) {
const cls = stage === 'reverse_all' ? 'purple' : stage === 'reverse_k' ? 'orange' : 'cyan';
html += `<div style="margin-top:6px;">`;
html += `<span class="range-label ${cls}">反转范围 [${range[0]}, ${range[1]}]</span>`;
// show what the reversed segment looks like
const seg = arr.slice(range[0], range[1] + 1);
html += `<span style="font-size:12px;color:#64748b;margin-left:8px;">此段反转后: [${seg.join(', ')}]</span>`;
html += '</div>';
}
return html;
}
function render(step) {
const s = steps[step];
const n = origNums.length;
let viz = '';
// Show original array at top for reference
viz += '<div style="margin-bottom:16px;">';
viz += '<div style="font-size:13px;color:#475569;margin-bottom:4px;">📌 原始数组</div>';
viz += renderArray(origNums, {});
viz += '</div>';
// Show step-by-step progress
const titles = {
'original': '初始状态',
'reverse_all': '① 反转全部',
'reverse_k': '② 反转前 k 个',
'reverse_nk': '③ 反转后 n-k 个',
'done': '✅ 最终结果'
};
const showSteps = ['original', 'reverse_all', 'reverse_k', 'reverse_nk', 'done'];
const currentIdx = showSteps.indexOf(s.stage);
viz += '<div style="background:#f8fafc;border-radius:12px;padding:12px;">';
for (let si = 0; si <= currentIdx; si++) {
const sStage = showSteps[si];
const sData = steps.find(x => x.stage === sStage);
if (!sData) continue;
const isActive = sStage === s.stage;
viz += '<div style="' + (si > 0 ? 'margin-top:12px;' : '') + '">';
viz += `<div class="step-title"><span class="num">${si+1}</span>${titles[sStage]}</div>`;
viz += renderArrWithRange(sData.arr, sData.reverseRange, sStage, n, k);
viz += '</div>';
}
viz += '</div>';
// Formula
viz += '<div class="formula-box" style="margin-top:12px;">';
viz += `n = ${n}, k = ${k}<br>`;
viz += `<code>反转(nums, 0, n-1) → 反转(nums, 0, k-1) → 反转(nums, k, n-1)</code>`;
viz += '</div>';
$('vizArea').innerHTML = viz;
// Detail
let detail = '<div class="calc-block">' + s.msg + '</div>';
if (s.stage === 'done') {
const expected = [...origNums];
for (let i = 0; i < k % n; i++) expected.unshift(expected.pop());
detail += `<div class="formula-box">验证:将每个元素右移 ${k} 位 = [${expected.join(', ')}] ✓</div>`;
}
$('detailContent').innerHTML = detail;
if (s.stage === 'done') {
$('resultContent').innerHTML = `<div class="final-answer">
轮转结果:<b>[${s.arr.join(', ')}]</b><br>
将 [${origNums.join(', ')}] 右轮转 ${k} 位
<div class="complexity">时间复杂度 O(n) | 空间复杂度 O(1) | 三次反转法</div>
</div>`;
}
$('hintText').textContent = s.msg;
const stages = [['original','原始'],['reverse_all','①反转全部'],['reverse_k','②反转前k'],['reverse_nk','③反转后n-k'],['done','完成']];
$('pipeline').innerHTML = stages.map(([k2,l]) =>
`<span class="pipe-step ${s.stage===k2?'active':''}">${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);
$('kInput').value = '3';
buildSteps(examples[0].input, examples[0].k);
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);
const kk = parseInt($('kInput').value);
if (!Array.isArray(arr) || arr.length === 0 || isNaN(kk)) throw new Error();
buildSteps(arr, kk); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
$('stepInfo').textContent = '步骤 1 / ' + steps.length;
} catch(e) { alert('请输入合法数组和 k 值,例如 [1,2,3,4,5,6,7] k=3'); }
};
$('exampleSelect').onchange = () => {
const e = examples[parseInt($('exampleSelect').value)];
$('inputArea').value = JSON.stringify(e.input);
$('kInput').value = e.k;
buildSteps(e.input, e.k); 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 rotate(nums, k):
n = len(nums)
k %= n
def rev(l, r):
while l < r:
nums[l], nums[r] = nums[r], nums[l]
l += 1; r -= 1
# 三次反转
rev(0, n - 1) # 反转全部
rev(0, k - 1) # 反转前 k 个
rev(k, n - 1) # 反转后 n-k 个`, {lang:'Python'});
})();
</script>
</body>
</html>